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Scholastic Do The Math

correlated to the

North Carolina Essential Standards for Math: Grades 2 - 8

2010

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Scholastic Do The Math Correlated to the North Carolina Essential Standards for Math Grade 2

North Carolina Essential Standards and Do The Math/Page 1

April 2010

North Carolina Essential Standards for Math

Do The Math

Numbers and Operations 2.N.1 Represent whole numbers from 0 through 1,000 in terms of the base ten numeration system.

2.N.1.1 Illustrate whole numbers to 1,000 in groups of ones, tens, hundreds and thousands by composing and decomposing flexible groups.

Do The Math: Addition and Subtraction: A Lesson 1-6 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10. Lesson 7-10, 12 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10, add numbers with sums of 19. Lesson 11-13 Whiteboard Tools: The Hundred Frame: Count by 10s, represent numbers to 100, place-value parts. Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally. Do The Math: Addition and Subtraction: C Lesson 6-8 Write numbers to 99 in expanded form. Lesson 6 Communicate ideas with key math vocabulary: expanded form and place value. Lesson 9-10 Write numbers to 999 in expanded form. Lesson 9 Introduce key math vocabulary: digit and place value. Lesson 9, 25, 30 Communicate ideas with key math vocabulary: expanded form, digit, and place value. Lesson 10 Communicate ideas with key math vocabulary: expanded form, digit, place value, and equation. Lesson 16 Communicate ideas with key math vocabulary: expanded form. Lesson 18-20, 27 Communicate ideas with key math vocabulary: digit and place value. Lesson 21, 26 Communicate ideas with key math vocabulary: expanded form and digit. Lesson 22-23, 28 Communicate ideas with key math vocabulary: digit. Lesson 30 Communicate ideas with key math vocabulary: expanded form, digit, and place value.

2.N.1.2 Interpret the value of a digit (1-9 and 0) in a multi-digit numeral by its position within the number

Do The Math: Addition and Subtraction: A Lesson 1-6 Whiteboard Tools: Ten-Frame: builds place-value concepts,



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with models, words and numerals. adding one-digit numbers, pairs with sums of 10. Lesson 7-10, 12 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10, add numbers with sums of 19. Lesson 11-13 Whiteboard Tools: The Hundred Frame: Count by 10s, represent numbers to 100, place-value parts. Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally. Do The Math: Addition and Subtraction: C Lesson 6 Communicate ideas with key math vocabulary: expanded form and place value. Lesson 9 Introduce key math vocabulary: digit and place value. Lesson 9, 25, 30 Communicate ideas with key math vocabulary: expanded form, digit, and place value. Lesson 10 Communicate ideas with key math vocabulary: expanded form, digit, place value, and equation. Lesson 16 Communicate ideas with key math vocabulary: expanded form. Lesson 18-20, 27 Communicate ideas with key math vocabulary: digit and place value. Lesson 21, 26 Communicate ideas with key math vocabulary: expanded form and digit. Lesson 22-23, 28 Communicate ideas with key math vocabulary: digit. Lesson 30 Communicate ideas with key math vocabulary: expanded form, digit, and place value.

2.N.1.3 Use benchmark numbers (25, 50, 75, 100, 200, etc.) to determine a reasonable estimate.

2.N.1.4 Understand counting by 10’s and 100’s on and off the decade.

Do The Math: Addition and Subtraction: A Lesson 18 Introduce key math vocabulary: multiples of 10. Lesson 19, 22-23 Communicate ideas with key math vocabulary: add, equation, plus, equals, sum, and multiples of 10. Lesson 27-28, 30 Communicate ideas with key math vocabulary: add, addition, equation, plus, equals, sum, addend, and multiples of 10. Lesson 11-13 Whiteboard Tools: The Hundred Frame: Count by 10s, represent



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numbers to 100, place-value parts. 2.N.1.5 Compare whole numbers less than 1,000 with symbols (<, >) and words.

The opportunity to meet this objective is available. For example, see: Do The Math: Addition and Subtraction: A Lesson 1-6 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10. Lesson 7-10, 12 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10, add numbers with sums of 19. Lesson 11-13 Whiteboard Tools: The Hundred Frame: Count by 10s, represent numbers to 100, place-value parts. Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally. Do The Math: Addition and Subtraction: C Lesson 6-8 Write numbers to 99 in expanded form. Lesson 6 Communicate ideas with key math vocabulary: expanded form and place value. Lesson 9-10 Write numbers to 999 in expanded form. Lesson 9 Introduce key math vocabulary: digit and place value. Lesson 9, 25, 30 Communicate ideas with key math vocabulary: expanded form, digit, and place value. Lesson 10 Communicate ideas with key math vocabulary: expanded form, digit, place value, and equation. Lesson 16 Communicate ideas with key math vocabulary: expanded form. Lesson 18-20, 27 Communicate ideas with key math vocabulary: digit and place value. Lesson 21, 26 Communicate ideas with key math vocabulary: expanded form and digit. Lesson 22-23, 28 Communicate ideas with key math vocabulary: digit. Lesson 30 Communicate ideas with key math vocabulary: expanded form, digit, and place value.

2.N.2 Use multiple strategies fluently to solve story problems involving addition and



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subtraction. 2.N.2.1 Remember addition and related subtraction facts (sums to 20) to develop fluency.

Do The Math: Addition and Subtraction: A Lesson 1, 3, 6, 8-10, 13, 19, 23-25, 27-28, 30 Identify pairs of numbers with sums of 10. Lesson 1-6 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10 Lesson 2, 5 Calculate the sum to 12 for any two addends. Lesson 4-5 Identify numbers with sums of 10. Lesson 6 Whiteboard Tools: Number Cards: find combinations with the sum of 10, find sums of 11 or 12, Lesson 7, 9-19 Calculate the sum to 19 for any two addends. Lesson 7-10, 12 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10, add numbers with sums of 19 Lesson 12 Calculate the sum to 19 for more than two addends. Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally Lesson 17, 20, 25, 30 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Do The Math: Addition and Subtraction: B Lesson 1 Identify pairs of numbers with sums of 10 Lesson 2 Calculate the difference between numbers up to 10. Lesson 4-5, 8-10, 12, 15, 19-20, 25, 27 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Do The Math: Addition and Subtraction: C Lesson 1-5 Calculate sums with addends up to 10. Lesson 6-8 Calculate sums of two-digit addends

2.N.2.2 Use properties of addition to solve multi-step, two-digit story problems.

Do The Math: Addition and Subtraction: A Lesson 5 Solve word problems with two or three addends with sums to 12. Lesson 8, 10 Solve word problems with two addends with sums to 19. Do The Math: Addition and Subtraction: C Lesson 1-5



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Use the Commutative Property of Addition and the Associative Property of Addition to solve problems.

2.N.2.3 Use benchmark numbers to facilitate mental math strategies, estimation and judging reasonableness of answers.

2.N.2.4 Apply strategies to compose and decompose when adding and subtracting whole numbers less than 300.

The opportunity to meet this objective is available. For example, see: Do The Math: Addition and Subtraction: A Lesson 1-6 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10. Lesson 7-10, 12 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10, add numbers with sums of 19. Lesson 11-13 Whiteboard Tools: The Hundred Frame: Count by 10s, represent numbers to 100, place-value parts. Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally. Do The Math: Addition and Subtraction: C Lesson 6-8 Write numbers to 99 in expanded form. Lesson 6 Communicate ideas with key math vocabulary: expanded form and place value. Lesson 9 Introduce key math vocabulary: digit and place value. Lesson 9, 25, 30 Communicate ideas with key math vocabulary: expanded form, digit, and place value. Lesson 10 Communicate ideas with key math vocabulary: expanded form, digit, place value, and equation. Lesson 16 Communicate ideas with key math vocabulary: expanded form. Lesson 18-20, 27 Communicate ideas with key math vocabulary: digit and place value. Lesson 21, 26 Communicate ideas with key math vocabulary: expanded form and digit. Lesson 22-23, 28 Communicate ideas with key math vocabulary: digit. Lesson 30 Communicate ideas with key math vocabulary: expanded form, digit, and place value.



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2.N.3 Understand the concept of division as fair shares (equipartitioning).

2.N.3.1 Illustrate division by making equal sized groups using models.

Do The Math: Division: A Lesson 1-3, 21-22 Whiteboard Tools: Tiles: division, grouping Lesson 2-4, 6-9, 11-15, 21-24, 26, 29-30 Whiteboard Tools: Grouping and Sharing Tool Do The Math: Division: B Lesson 1-3, 21-22 Whiteboard Tools: Tiles: division, grouping Lesson 6-8, 13 Whiteboard Tools: Grouping and Sharing Tool

2.N.3.2 Interpret verbally the share as “1/nth of the whole” and the whole as “n times as much" as the share.

The opportunity to meet this objective is available. For example, see: Do The Math: Fractions: A Lesson 1 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, and one-eighth. Lesson 2 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, numerator, fraction bar, and denominator. Lesson 3, 5 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, and one-sixteenth. Lesson 4, 6 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, and equation. Lesson 7 Communicate ideas with key math vocabulary: whole, one-half, one-fourth, one-eighth, one-sixteenth, equivalent, equals, is less than, and is greater than. Lesson 8 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, and equivalent. Lesson 11 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eight, and one-sixteenth. Lesson 12 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, equation, and equals. Lesson 13 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, is greater than, mixed number and improper fraction. Lesson 13 Name parts of a whole as fractions. Lesson 16-17



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Communicate ideas with key math vocabulary: whole, fraction, and one-fourth. Lesson 21 Communicate ideas with key math vocabulary: whole, denominator, one-third, one-sixth, and one-twelfth. Lesson 22 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-third, one-sixth, and one-twelfth. Lesson 24 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, denominator, one-third, one-sixth, one-twelfth, equivalent, and equation. Lesson 25 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, denominator, equivalent, one-third, one-sixth, and one-twelfth. Lesson 26 Communicate ideas with key math vocabulary: whole, fraction, one-third, one-sixth, and one twelfth.

Algebra 2.A.1 Classify numbers into the categories of odd and even.

2.A.2 Represent situations found in story problems as number sentences with unknowns.

2.A.2.1 Understand how a verbal situation is translated into an equation.

Do The Math: Addition and Subtraction: A Lesson 5 Solve word problems with two or three addends with sums to 12. Lesson 8, 10 Solve word problems with two addends with sums to 19. Lesson 13, 15-16, 18-26 Solve word problems with two addends with sums to 99. Do The Math: Addition and Subtraction: B Lesson 11, 13-15 Solve take-away word problems Lesson 16, 19-20 Write and solve comparing and take-away word problems. Lesson 17-18, 28, 30 Write and solve comparing word problems. Lesson 21-25 Write and solve part-part-whole problems Lesson 26 Solve comparing, take-away, and part-part-whole word problems Do The Math: Division: A Lesson 11 Write and solve division word problems for grouping situations. Lesson 26-27 Write and solve division word problems for both sharing and grouping situations. Lesson 29-30



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Solve division word problems for both sharing and grouping situations. Do The Math: Division: B Lesson 7, 10 Solve word problems or sharing situations.

2.A.3 Use patterns to solve problems.

Geometry 2.G.1 Classify the faces of polyhedra as polygons.

2.G.2 Compare polygons to determine whether they are or are not congruent.

Measurement 2.M.1 Understand the use of non-standard units in measurement of length, weight*, capacity and area. *More properly mass, but most commonly understood as weight at this grade band.

2.M.2 Understand how to tell time.

2.M.3 Use strategies to count money collections.

Statistics and Probability 2.S.1 Understand data from statistical investigations in order to develop and evaluate inferences and predictions.



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North Carolina Essential

Standards for Math Do The Math

Numbers and Operations 3.N.1 Understand the numerical value of whole numbers 0 to 10,000.

3.N.1.1 Represent whole numbers using models, words, numbers (symbolic) and expanded form by composing and decomposing.

Do The Math: Addition and Subtraction: A Lesson 1-6 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10. Lesson 7-10, 12 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10, add numbers with sums of 19. Lesson 11-13 Whiteboard Tools: The Hundred Frame: Count by 10s, represent numbers to 100, place-value parts. Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally. Do The Math: Addition and Subtraction: C Lesson 6-8 Write numbers to 99 in expanded form. Lesson 6 Communicate ideas with key math vocabulary: expanded form and place value. Lesson 9-10 Write numbers to 999 in expanded form. Lesson 9 Introduce key math vocabulary: digit and place value. Lesson 9, 25, 30 Communicate ideas with key math vocabulary: expanded form, digit, and place value. Lesson 10 Communicate ideas with key math vocabulary: expanded form, digit, place value, and equation. Lesson 16 Communicate ideas with key math vocabulary: expanded form. Lesson 18-20, 27 Communicate ideas with key math vocabulary: digit and place value. Lesson 21, 25, 30 Write numbers to 9,999 in expanded form. Lesson 21, 26 Communicate ideas with key math vocabulary: expanded form and digit. Lesson 22-23, 28 Communicate ideas with key math vocabulary: digit. Lesson 30 Communicate ideas with key math vocabulary: expanded form, digit, and place value.



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3.N.1.2 Compare whole numbers less than 10,000 with symbols (<, >) and words.

The opportunity to meet this objective is available. For example, see: Do The Math: Addition and Subtraction: A Lesson 1-6 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10. Lesson 7-10, 12 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10, add numbers with sums of 19. Lesson 11-13 Whiteboard Tools: The Hundred Frame: Count by 10s, represent numbers to 100, place-value parts. Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally. Do The Math: Addition and Subtraction: C Lesson 6-8 Write numbers to 99 in expanded form. Lesson 6 Communicate ideas with key math vocabulary: expanded form and place value. Lesson 9-10 Write numbers to 999 in expanded form. Lesson 9 Introduce key math vocabulary: digit and place value. Lesson 9, 25, 30 Communicate ideas with key math vocabulary: expanded form, digit, and place value. Lesson 10 Communicate ideas with key math vocabulary: expanded form, digit, place value, and equation. Lesson 16 Communicate ideas with key math vocabulary: expanded form. Lesson 18-20, 27 Communicate ideas with key math vocabulary: digit and place value. Lesson 21, 25, 30 Write numbers to 9,999 in expanded form. Lesson 21, 26 Communicate ideas with key math vocabulary: expanded form and digit. Lesson 22-23, 28 Communicate ideas with key math vocabulary: digit. Lesson 30 Communicate ideas with key math vocabulary: expanded form, digit, and place value.



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3.N.1.3 Illustrate composing a higher-value number by multiplying by 10 and composing a lower-value number by dividing by 10.

Do The Math: Multiplication: C Lesson 6 Calculate products with one-digit factors times 10. Lesson 11-12 Calculate products of one-digit factors or two-digit factors times 10. Lesson 11-12 Whiteboard Tools: Times 10: multiplying two-digit numbers by 10 Lesson 13-16, 20-21, 25 Calculate products of one-digit factors times multiples of 10. Do The Math: Division: B Lesson 19 Identify numbers divisible by 10. Lesson 20 Identify numbers divisible by 2, 5, and 10. Do The Math: Division: C Lesson 4 Multiply one-digit numbers by multiples of 10 from 10 to 100.

3.N.2 Use strategies to solve multi-digit addition and subtraction problems.

3.N.2.1 Use multiple strategies to solve multi-digit, single-step and multi-step addition and subtraction problems.

Do The Math: Addition and Subtraction: A Lesson 1, 3, 6, 8-10, 13, 19, 23-25, 27-28, 30 Identify pairs of numbers with sums of 10. Lesson 1-6 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10 Lesson 2, 5 Calculate the sum to 12 for any two addends. Lesson 4-5 Identify numbers with sums of 10. Lesson 5 Solve word problems with two or three addends with sums to 12. Lesson 6 Whiteboard Tools: Number Cards: find combinations with the sum of 10, find sums of 11 or 12, Lesson 7, 9-19 Calculate the sum to 19 for any two addends. Lesson 7-10, 12 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10, add numbers with sums of 19 Lesson 8, 10 Solve word problems with two addends with sums to 19. Lesson 11-14, 16, 18, 27 Write any two-digit number as tens and ones. Lesson 12 Calculate the sum to 19 for more than two addends. Lesson 13, 15-16, 18-26 Solve word problems with two addends with sums to 99.



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Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally Lesson 17, 20, 25, 30 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Do The Math: Addition and Subtraction: B Lesson 1 Identify pairs of numbers with sums of 10 Lesson 1, 3-22, 24-28, 30 Calculate the difference between numbers up to 100. Lesson 2 Calculate the difference between numbers up to 10. Lesson 4-5, 8-10, 12, 15, 19-20, 25, 27 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Lesson 11, 13-15 Solve take-away word problems Lesson 16, 19-20 Write and solve comparing and take-away word problems. Lesson 17-18, 28, 30 Write and solve comparing word problems. Lesson 21-25 Write and solve part-part-whole problems Lesson 21-26 Identify pairs of numbers with sums of 100. Lesson 26 Solve comparing, take-away, and part-part-whole word problems Do The Math: Addition and Subtraction: C Lesson 1-5 Calculate sums with addends up to 10. Lesson 1-5 Use the Commutative Property of Addition and the Associative Property of Addition to solve problems. Lesson 6-8 Calculate sums of two-digit addends Lesson 9-10 Calculate sums of three-digit addends. Lesson 11-20 Calculate sums and differences of two- and three-digit numbers. Lesson 22 Calculate differences for 5-digit and 6-digit numbers that have been rounded to the nearest thousand. Lesson 23-25 Calculate sums and differences of numbers to 9,999 Lesson 23-25 Solve addition and subtraction word problems with numbers to 9,999. Lesson 23-25



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Solve addition and subtraction word problems with numbers to 9,999. Lesson 28-30 Solve subtraction word problems with numbers to 99,999. Lesson 28 Calculate differences of five-digit numbers that have been rounded to the nearest thousand Lesson 29-30 Calculate differences of six-digit numbers that have been rounded to the nearest thousand.

3.N.2.2 Use estimation to determine the reasonableness of solutions

The opportunity to meet this objective is available. For example, see: Do The Math: Addition and Subtraction: C Lesson 22 Calculate differences for 5-digit and 6-digit numbers that have been rounded to the nearest thousand. Lesson 28 Calculate differences of five-digit numbers that have been rounded to the nearest thousand. Lesson 29 Introduce key math vocabulary: rounded number. Lesson 29-30 Calculate differences of six-digit numbers that have been rounded to the nearest thousand. Lesson 29 Communicate ideas with key math vocabulary: digit and rounded number.

3.N.3 Understand multiplication and division and their relationship using facts 0-10.

3.N.3.1 Illustrate the meaning of multiplication and division using multiple models.

Do The Math: Multiplication: A Lesson 1 Combine equal groups. Lesson 1-4, 19, 22 Whiteboard Tools: Drawing Tool: combining equal groups, show Distributive Property geometrically Lesson 2-5, 8-10, 19 Represent combining equal groups with related addition and multiplication equations. Lesson 4-5, 10-11, 20, 22, 24-25 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 6-7 Identify examples of equal groups Lesson 9 Represent equal groups with rows of tiles. Lesson 9 Whiteboard Tools: Tiles Do The Math: Multiplication: B Lesson 1-2



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Represent arrangements of equal rows with multiplication equations. Lesson 2, 5, 10 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 3-4, 7, 16 Represent arrangements of equal rows and rectangles with multiplication equations. Lesson 3-4, 7-9, 16-17, 19, 27-28 Whiteboard Tools: Drawing Tool: combining equal groups, show Distributive Property geometrically Lesson 5-6, 8-11, 17, 20, 27-28 Represent rectangles with multiplication equations. Do The Math: Multiplication: C Lesson 1, 6 Whiteboard Tools: Drawing Tool: combining equal groups, show Distributive Property geometrically Do The Math: Division: A Lesson 1-3, 21-22 Whiteboard Tools: Tiles: division, grouping Lesson 2-4, 6-9, 11-15, 21-24, 26, 29-30 Whiteboard Tools: Grouping and Sharing Tool Do The Math: Division: B Lesson 1-3, 21-22 Whiteboard Tools: Tiles: division, grouping Lesson 6-8, 13 Whiteboard Tools: Grouping and Sharing Tool

3.N.3.2 Use estimation, properties and efficient strategies to solve single step multiplication and division problems.

Do The Math: Multiplication: C Lesson 18 Introduce key math vocabulary: estimate. Lesson 18-20, 22-23, 26-28, 30 Make estimates of products. Lesson 18-20, 26- 28 Introduce key math vocabulary: estimate. Communicate ideas with key math vocabulary: factor, product, multiple, and estimate. Lesson 22-23 Communicate ideas with key math vocabulary: factor, product, and estimate. Lesson 25, 30 Communicate ideas with key math vocabulary: product and estimate. Lesson 29 Communicate ideas with key math vocabulary: factor, product, Commutative Property of Multiplication, Associative Property of Multiplication, multiple, and estimate.

3.N.4 Understand the meaning of fractions as sharing equally (equipartitioning) using models.



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3.N.4.1 Illustrate equal parts (equipartitioning) with situations involving numbers less than one and mixed numbers greater than one.

Do The Math: Fractions: A Lesson 1-12, 14-15, 21-25, 27-28, 30 Name parts of a whole as fractions and use standard notation. Lesson 1 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, and one-eighth. Lesson 2 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, numerator, fraction bar, and denominator. Lesson 3, 5 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, and one-sixteenth. Lesson 4, 6 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, and equation. Lesson 7 Communicate ideas with key math vocabulary: whole, one-half, one-fourth, one-eighth, one-sixteenth, equivalent, equals, is less than, and is greater than. Lesson 8 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, and equivalent. Lesson 11 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eight, and one-sixteenth. Lesson 12 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, equation, and equals. Lesson 13 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, is greater than, mixed number and improper fraction. Lesson 13 Name parts of a whole as fractions. Lesson 16-17 Communicate ideas with key math vocabulary: whole, fraction, and one-fourth. Lesson 18 Use standard notation to names parts of a whole. Lesson 21 Communicate ideas with key math vocabulary: whole, denominator, one-third, one-sixth, and one-twelfth. Lesson 22 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-third, one-sixth, and one-twelfth. Lesson 24 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, denominator, one-third, one-sixth, one-twelfth, equivalent, and equation. Lesson 25 Communicate ideas with key math vocabulary: whole, one-half,



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fraction, one-fourth, one-eighth, one-sixteenth, denominator, equivalent, one-third, one-sixth, and one-twelfth. Lesson 26 Communicate ideas with key math vocabulary: whole, fraction, one-third, one-sixth, and one twelfth. Do The Math: Fractions: B Lesson 1-2, 4, 7-10 Name parts of a whole as fractions and use standard notation.

3.N.4.2 Represent fractions or mixed numbers using symbolic notation (a/b).

Do The Math: Fractions: A Lesson 1-12, 14-15, 21-25, 27-28, 30 Name parts of a whole as fractions and use standard notation. Lesson 13 Use standard notation to represent fractions greater than 1 as either a mixed number or an improper fraction. Lesson 16-17, 19-20, 26 Use standard notation to represent fractions less than and greater than 1. Lesson 18 Use standard notation to names parts of a whole. Do The Math: Fractions: B Lesson 1-2, 4, 7-10 Name parts of a whole as fractions and use standard notation.

3.N.4.3 Represent equivalent fractions with models by composing and decomposing fractions into equivalent fractions (using related fractions: halves, fourths, eighths; thirds, sixths).

Do The Math: Fractions: A Lesson 1-15, 20-28 Whiteboard Tools: Fraction Strips: identify equivalent fractions, combine fractions, write fractions Lesson 1-2, 5, 8-12, 14-15, 21, 23-25, 27 Identify equivalent fractions. Lesson 7 Introduce key math vocabulary: equivalent, equals, is less than, and is greater than. Lesson 7 Communicate ideas with key math vocabulary: whole, one-half, one-fourth, one-eighth, one-sixteenth, equivalent, equals, is less than, and is greater than. Lesson 8 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, and equivalent. Lesson 9 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, and equivalent. Lesson 10 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, equivalent, equals, is less than, and is greater than. Lesson 14 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, equals, equivalent, mixed number and improper fraction. Lesson 15



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Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, equals, equation, equivalent, mixed number and improper fraction. Lesson 20 Communicate ideas with key math vocabulary: one-half, one-fourth, one-eighth, equivalent, is less than, is greater than, mixed number and improper fraction. Lesson 24 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, denominator, one-third, one-sixth, one-twelfth, equivalent, and equation. Lesson 25 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, denominator, equivalent, one-third, one-sixth, and one-twelfth. Lesson 27 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, numerator, denominator, equivalent, equals, is less than, is greater than, one-third, one-sixth, and one-twelfth. Lesson 29 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, numerator, fraction, denominator, equation, equivalent, equals, is less than, is greater than, mixed number, one-third, one-sixth, and one-twelfth. Do The Math: Fractions: B Lesson 1-12, 15-16, 18-28 Whiteboard Tools: Fraction Strips: identify equivalent fractions, combine fractions, write fractions Lesson 2, 5 Communicate ideas with key math vocabulary: common numerator, unit fraction, and equivalent. Lesson 2-5, 20-21, 25-28, 30 Identify equivalent fractions. Lesson 4 Introduce key math vocabulary: equivalent. Lesson 4 Communicate ideas with key math vocabulary: equivalent. Lesson 12 Communicate ideas with key math vocabulary: numerator, denominator, unit fraction, and equivalent. Lesson 15 Communicate ideas with key math vocabulary: numerator, denominator, unit fraction, improper fraction, and equivalent. Lesson 18 Communicate ideas with key math vocabulary: numerator, common numerator, denominator, and equivalent. Lesson 22 Identify fractions equivalent to 1/3. Lesson 22-25 Communicate ideas with key math vocabulary: numerator, common numerator, denominator, equivalent, and common



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Do The Math

denominator. Lesson 23 Identify fractions equivalent to 1/4. Lesson 24 Identify fractions equivalent to 1/2 and 1/3. Lesson 28 Communicate ideas with key math vocabulary: common numerator, equivalent, and common denominator. Lesson 29 Communicate ideas with key math vocabulary: numerator, common numerator, denominator, unit fraction, improper fraction, mixed number equivalent, and common denominator. Lesson 30 Communicate ideas with key math vocabulary: numerator, common numerator, denominator, unit fraction, improper fraction, equivalent, and common denominator. Do The Math: Fractions: C Lesson 1-9 Whiteboard Tools: Fraction Strips: identify equivalent fractions, combine fractions, write fractions Lesson 4-6, 8-15, 17-25, 30 Identify and generate equivalent fractions.

3.N.4.4 Compare a given fraction to benchmark numbers of 0, ½, 1, using a variety of strategies.

Do The Math: Fractions: A Lesson 7, 10, 27-28, 30 Compare fractions. Use the benchmark of 1/2. Lesson 19-20 Compare fractions. Do The Math: Fractions: B Lesson 16-19 Compare fractions to 1/2. Lesson 20 Compare fractions using benchmarks, common numerators, common denominators, and fractions one unit fraction from 1 whole. Lesson 26 Compare and order fractions using benchmarks, common numerators, common denominators. Lesson 27-28 Compare and order fractions using benchmarks, common numerators, and common denominators. Lesson 30 Compare and order fractions using benchmarks, common numerators, common denominators, and fractions that are one unit fraction from 1 whole. Do The Math: Fractions: C Lesson 11-17, 19-25 Whiteboard Tools: Compute & Compare: adding/subtracting fractions

3.N.4.5 Represent a fair share of a



April 2010


Do The Math

collection of discrete items as the amount per person (the unit ratio or n:1). Algebra 3.A.1 Illustrate the associative, commutative and the identity properties of multiplication.

3.A.1.1 Represent properties of multiplication with models, including arrays, and equations.

Do The Math: Multiplication: A Lesson 1-4, 19, 22 Whiteboard Tools: Drawing Tool: combining equal groups, show Distributive Property geometrically Lesson 4-5, 10-11, 20, 22, 24-25 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 22 Introduction key math vocabulary: Commutative Property of Multiplication. Lesson 22 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, factor, multiplication equation, product, and times. Lesson 23 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, equal, factor, multiplication, multiplication equation, product, and times. Lesson 25, 30 Write examples for the Commutative Property of Multiplication using factors 0 through 6. Lesson 25 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, factor, and product. Lesson 30 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, equal, factor, multiplication, multiplication equation, and product. Do The Math: Multiplication: B Lesson 2, 5, 10 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping. Lesson 3-4, 6, 8-9, 21 Use the Commutative Property of Multiplication to solve problems. Lesson 3-4, 6-9, 12, 14-15, 17, 19, 21 Whiteboard Tools: Multiplication Chart: commutative property, show multiples of a number, find the products of two numbers Lesson 3-4, 7-9, 16-17, 19, 27-28 Whiteboard Tools: Drawing Tool: combining equal groups, show Distributive Property geometrically Lesson 8, 22 Introduce key math vocabulary: Commutative Property of Multiplication. Lesson 8



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Do The Math

Communicate ideas with key math vocabulary: multiplication equation, factor, product, and Commutative Property of Multiplication. Lesson 21 Communicate ideas with key math vocabulary: factor, product, Commutative Property of Multiplication, and multiple. Lesson 26 Communicate ideas with key math vocabulary: multiplication equation, factor, product, Commutative Property of Multiplication, multiple, and square number. Do The Math: Multiplication: C Lesson 1, 6 Whiteboard Tools: Drawing Tool: combining equal groups, show Distributive Property geometrically. Lesson 1, 6-8, 10, 17-20, 22-28, 30 Use the Distributive Property of Multiplication. Lesson 3 Use the Commutative and Associative Properties of Multiplication. Lesson 3 Introduce key math vocabulary: Commutative Properties of Multiplication and Associative Properties of Multiplication. Lesson 3 Communicate ideas with key math vocabulary: factor, product, Commutative Properties of Multiplication, and Associative Properties of Multiplication. Lesson 4-5, 13-16, 21 Use the Commutative, Associative, and Distributive Properties of Multiplication. Lesson 29 Communicate ideas with key math vocabulary: factor, product, Commutative Property of Multiplication, Associative Property of Multiplication, multiple, and estimate.

3.A.2 Use the concept of equality with unknown quantities.

3.A.2.1 Use the concept of equality to solve problems with unknown quantities.

The opportunity to meet this objective is available. For example, see: Do The Math: Addition and Subtraction: A Lesson 5 Solve word problems with two or three addends with sums to 12. Lesson 8, 10 Solve word problems with two addends with sums to 19. Lesson 13, 15-16, 18-26 Solve word problems with two addends with sums to 99. Do The Math: Addition and Subtraction: B Lesson 11, 13-15 Solve take-away word problems Lesson 16, 19-20 Write and solve comparing and take-away word problems.



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Do The Math

Lesson 17-18, 28, 30 Write and solve comparing word problems. Lesson 21-25 Write and solve part-part-whole problems Lesson 26 Solve comparing, take-away, and part-part-whole word problems Do The Math: Addition and Subtraction: C Lesson 1-5 Use the Commutative Property of Addition and the Associative Property of Addition to solve problems. Lesson 23-25 Solve addition and subtraction word problems with numbers to 9,999. Lesson 28-30 Solve subtraction word problems with numbers to 99,999. Do The Math: Multiplication: A Lesson 12 Write and solve multiplication problems. Lesson 26 Write and solve word problems that involve finding products. Lesson 28-29 Solve a problem involving equal groups. Do The Math: Multiplication: B Lesson 3-4, 6, 8-9, 21 Use the Commutative Property of Multiplication to solve problems. Do The Math: Division: A Lesson 11 Write and solve division word problems for grouping situations. Lesson 26-27 Write and solve division word problems for both sharing and grouping situations. Lesson 29-30 Solve division word problems for both sharing and grouping situations. Do The Math: Division: B Lesson 1-6, 21-28, 30 Use the inverse relationship between division and multiplication to solve problems. Lesson 7, 10 Solve word problems or sharing situations. Do The Math: Division: C Lesson 8-15 Use the inverse relationship between division and multiplication to solve problems. Lesson 8-17, 21, 26- 27, 30 Solve problems for grouping situations.



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Do The Math

Do The Math: Fractions: A Lesson 16-17, 19-20, 26 Solves problems involving fractions less than and greater than 1. Lesson 18 Solves problems using fractions. Lesson 30 Solve problems using fractions. Do The Math: Fractions: C Lesson 26-28, 30 Solve problems using fractions.

3.A.3 Analyze numeric and non-numeric patterns.

Geometry 3.G.1 Classify figures according to their properties.

3.G.2 Represent points, paths, lines and geometric figures on a rectangular coordinate grid.

Measurement 3.M.1 Use metric units to measure length, weight*, capacity, and temperature to solve problems. *More properly mass, but most commonly understood as weight at this grade band.

Statistics and Probability 3.S.1 Interpret data from statistical investigations.

3.S.2 Explain results of simple probability experiments.



April 2010

North Carolina Essential

Standards for Math Do The Math

Number and Operations 4.N.1 Understand the value of whole numbers and decimal representations from 0.01 to 100,000.

4.N.1.1 Represent whole numbers and decimals using models, words and numbers (symbolic).

The opportunity to meet this objective is available. For example, see: Do The Math: Addition and Subtraction: A Lesson 1-6 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10. Lesson 7-10, 12 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10, add numbers with sums of 19. Lesson 11-13 Whiteboard Tools: The Hundred Frame: Count by 10s, represent numbers to 100, place-value parts. Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally. Do The Math: Addition and Subtraction: C Lesson 6-8 Write numbers to 99 in expanded form. Lesson 6 Communicate ideas with key math vocabulary: expanded form and place value. Lesson 9-10 Write numbers to 999 in expanded form. Lesson 9 Introduce key math vocabulary: digit and place value. Lesson 9, 25, 30 Communicate ideas with key math vocabulary: expanded form, digit, and place value. Lesson 10 Communicate ideas with key math vocabulary: expanded form, digit, place value, and equation. Lesson 16 Communicate ideas with key math vocabulary: expanded form. Lesson 18-20, 27 Communicate ideas with key math vocabulary: digit and place value. Lesson 21, 25, 30 Write numbers to 9,999 in expanded form. Lesson 21, 26 Communicate ideas with key math vocabulary: expanded form and digit. Lesson 22-23, 28



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Do The Math

Communicate ideas with key math vocabulary: digit. Lesson 30 Communicate ideas with key math vocabulary: expanded form, digit, and place value.

4.N.1.2 Compare sets of two to six numbers, arranging them from least to greatest or greatest to least.

The opportunity to meet this objective is available. For example, see: Do The Math: Addition and Subtraction: A Lesson 1-6 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10. Lesson 7-10, 12 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10, add numbers with sums of 19. Lesson 11-13 Whiteboard Tools: The Hundred Frame: Count by 10s, represent numbers to 100, place-value parts. Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally. Do The Math: Addition and Subtraction: C Lesson 6-8 Write numbers to 99 in expanded form. Lesson 6 Communicate ideas with key math vocabulary: expanded form and place value. Lesson 9-10 Write numbers to 999 in expanded form. Lesson 9 Introduce key math vocabulary: digit and place value. Lesson 9, 25, 30 Communicate ideas with key math vocabulary: expanded form, digit, and place value. Lesson 10 Communicate ideas with key math vocabulary: expanded form, digit, place value, and equation. Lesson 16 Communicate ideas with key math vocabulary: expanded form. Lesson 18-20, 27 Communicate ideas with key math vocabulary: digit and place value. Lesson 21, 25, 30 Write numbers to 9,999 in expanded form. Lesson 21, 26 Communicate ideas with key math vocabulary: expanded form and digit. Lesson 22-23, 28 Communicate ideas with key math vocabulary: digit. Lesson 30 Communicate ideas with key math vocabulary: expanded form,



April 2010


Do The Math

digit, and place value. 4.N.1.3 Illustrate the place value structure of decimals and whole numbers when multiplying and dividing by 10.

The opportunity to meet this objective is available. For example, see: Do The Math: Multiplication: C Lesson 6 Calculate products with one-digit factors times 10. Lesson 11-12 Calculate products of one-digit factors or two-digit factors times 10. Lesson 11-12 Whiteboard Tools: Times 10: multiplying two-digit numbers by 10 Lesson 13-16, 20-21, 25 Calculate products of one-digit factors times multiples of 10. Do The Math: Division: B Lesson 19 Identify numbers divisible by 10. Lesson 20 Identify numbers divisible by 2, 5, and 10. Do The Math: Division: C Lesson 4 Multiply one-digit numbers by multiples of 10 from 10 to 100.

4.N.2 Use strategies to solve problems involving multi-digit addition, subtraction, multiplication and division of whole numbers.

4.N.2.1 Use strategies to develop fluency in solving problems using up to four-digit addition and subtraction (larger number with calculator).

Do The Math: Addition and Subtraction: A Lesson 1, 3, 6, 8-10, 13, 19, 23-25, 27-28, 30 Identify pairs of numbers with sums of 10. Lesson 1-6 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10 Lesson 2, 5 Calculate the sum to 12 for any two addends. Lesson 4-5 Identify numbers with sums of 10. Lesson 5 Solve word problems with two or three addends with sums to 12. Lesson 6 Whiteboard Tools: Number Cards: find combinations with the sum of 10, find sums of 11 or 12, Lesson 7, 9-19 Calculate the sum to 19 for any two addends. Lesson 7-10, 12 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10, add numbers with sums of 19 Lesson 8, 10 Solve word problems with two addends with sums to 19.



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Do The Math

Lesson 11-14, 16, 18, 27 Write any two-digit number as tens and ones. Lesson 12 Calculate the sum to 19 for more than two addends. Lesson 13, 15-16, 18-26 Solve word problems with two addends with sums to 99. Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally Lesson 17, 20, 25, 30 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Do The Math: Addition and Subtraction: B Lesson 1 Identify pairs of numbers with sums of 10 Lesson 1, 3-22, 24-28, 30 Calculate the difference between numbers up to 100. Lesson 2 Calculate the difference between numbers up to 10. Lesson 4-5, 8-10, 12, 15, 19-20, 25, 27 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Lesson 11, 13-15 Solve take-away word problems Lesson 16, 19-20 Write and solve comparing and take-away word problems. Lesson 17-18, 28, 30 Write and solve comparing word problems. Lesson 21-25 Write and solve part-part-whole problems Lesson 21-26 Identify pairs of numbers with sums of 100. Lesson 26 Solve comparing, take-away, and part-part-whole word problems Do The Math: Addition and Subtraction: C Lesson 1-5 Calculate sums with addends up to 10. Lesson 1-5 Use the Commutative Property of Addition and the Associative Property of Addition to solve problems. Lesson 6-8 Calculate sums of two-digit addends Lesson 9-10 Calculate sums of three-digit addends. Lesson 11-20 Calculate sums and differences of two- and three-digit numbers. Lesson 23-25 Calculate sums and differences of numbers to 9,999 Lesson 23-25



April 2010


Do The Math

Solve addition and subtraction word problems with numbers to 9,999. Lesson 23-25 Solve addition and subtraction word problems with numbers to 9,999.

4.N.2.2 Use strategies to develop fluency for multiplication with two-digit by one-digit and two-digit by two-digit numbers.

Do The Math: Multiplication: A Lesson 4-5, 10-11, 20, 22, 24-25 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 18, 20, 25, 30 Calculate the product when one factor is 0 Do The Math: Multiplication: B Lesson 1-21, 23-25, 27-30 Calculate products with factors 0 through 12. Lesson 2, 5, 10 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 6-9 Whiteboard Tools: Missing Product Chart: familiarity with products up to 12 x 12 Lesson 13, 20, 22-24 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 22-23, 25, 29-30 Recall products with factors 0 though 12. Do The Math: Multiplication: C Lesson 1,3 , 4, 7-28, 30 Recall products for facts through 12 x 12. Lesson 1, 7-8, 10 Calculate products with one-digit factors times two-digit factors. Lesson 2, 5, 15 Calculate products of two-digit factors times 10. Lesson 6 Calculate products with one-digit factors times 11 Lesson 9-10 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 11-12 Calculate products of one-digit factors or two-digit factors times 10 Lesson 11-12 Whiteboard Tools: Times 10: multiplying two-digit numbers by 10 Lesson 17-20 Calculate products with two-digit factors times one-digit factors. Lesson 24-25 Calculate products with two-digit multiples of 10. Lesson 26-28, 30 Calculate products with two-digit factors times two-digit factors.

4.N.2.3 Use strategies with three-digit by one-digit division with and without remainders to develop fluency.

Do The Math: Division: C Lesson 16-20 Calculate the quotients and remainder for three-digit dividends and one-digit divisors Lesson 30



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Do The Math

Calculate the quotients and remainders of problems involving three-digit dividends and one-digit and two-digit divisors.

4.N.2.4 Use estimation of whole number operations in meaningful contexts to justify the reasonableness of the solution.

Do The Math: Addition and Subtraction: A Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally. Do The Math: Addition and Subtraction: C Lesson 22 Calculate differences for 5-digit and 6-digit numbers that have been rounded to the nearest thousand. Lesson 28 Calculate differences of five-digit numbers that have been rounded to the nearest thousand. Lesson 29 Introduce key math vocabulary: rounded number. Lesson 29-30 Calculate differences of six-digit numbers that have been rounded to the nearest thousand. Lesson 29 Communicate ideas with key math vocabulary: digit and rounded number. Do The Math: Multiplication: C Lesson 18 Introduce key math vocabulary: estimate. Lesson 18-20, 22-23, 26-28, 30 Make estimates of products. Lesson 18-20, 26- 28 Introduce key math vocabulary: estimate. Communicate ideas with key math vocabulary: factor, product, multiple, and estimate. Lesson 22-23 Communicate ideas with key math vocabulary: factor, product, and estimate. Lesson 25, 30 Communicate ideas with key math vocabulary: product and estimate. Lesson 29 Communicate ideas with key math vocabulary: factor, product, Commutative Property of Multiplication, Associative Property of Multiplication, multiple, and estimate.

4.N.2.5 Use area models to understand multiplication and related concepts such as factors, multiples (including squares), prime and composite numbers.

Do The Math: Multiplication: A Lesson 1 Combine equal groups. Lesson 1-4, 19, 22 Whiteboard Tools: Drawing Tool: combining equal groups, show Distributive Property geometrically Lesson 2-5, 8-10, 19 Represent combining equal groups with related addition and multiplication equations.



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Do The Math

Lesson 4-5, 10-11, 20, 22, 24-25 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 6-7 Identify examples of equal groups Lesson 9 Represent equal groups with rows of tiles. Lesson 9 Whiteboard Tools: Tiles Do The Math: Multiplication: B Lesson 1-2 Represent arrangements of equal rows with multiplication equations. Lesson 2, 5, 10 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 3-4, 7, 16 Represent arrangements of equal rows and rectangles with multiplication equations. Lesson 3-4, 7-9, 16-17, 19, 27-28 Whiteboard Tools: Drawing Tool: combining equal groups, show Distributive Property geometrically Lesson 5-6, 8-11, 17, 20, 27-28 Represent rectangles with multiplication equations. Lesson 12, 14 Communicate ideas with key math vocabulary: factor, product, and multiple. Lesson 15 Communicate ideas with key math vocabulary: multiplication equation, factor, product, and multiple. Lesson 18 Communicate ideas with key math vocabulary: factor, product, and square number. Lesson 19 Communicate ideas with key math vocabulary: product and square number. Lesson 20 Communicate ideas with key math vocabulary: multiplication equation, factor, product, and square number. Lesson 21 Communicate ideas with key math vocabulary: factor, product, Commutative Property of Multiplication, and multiple. Lesson 26 Communicate ideas with key math vocabulary: multiplication equation, factor, product, Commutative Property of Multiplication, multiple, and square number. Do The Math: Multiplication: C Lesson 1, 6 Whiteboard Tools: Drawing Tool: combining equal groups, show Distributive Property geometrically Lesson 16, 21, 24



April 2010


Do The Math

Communicate ideas with key math vocabulary: factor, product, and multiple. Lesson 18-20, 26- 28 Introduce key math vocabulary: estimate. Communicate ideas with key math vocabulary: factor, product, multiple, and estimate. Lesson 16, 21, 24 Communicate ideas with key math vocabulary: factor, product, and multiple. Lesson 29 Communicate ideas with key math vocabulary: factor, product, Commutative Property of Multiplication, Associative Property of Multiplication, multiple, and estimate.

4.N.3 Understand the concept of equivalence with models as it applies to fractions, improper fractions, mixed numbers and decimals.

4.N.3.1 Identify equivalent fractions (using halves, fourths, eights; thirds, sixths, twelfths and fifths, tenths, hundredths)

Do The Math: Fractions: A Lesson 1-15, 20-28 Whiteboard Tools: Fraction Strips: identify equivalent fractions, combine fractions, write fractions Lesson 1-2, 5, 8-12, 14-15, 21, 23-25, 27 Identify equivalent fractions. Lesson 7 Introduce key math vocabulary: equivalent, equals, is less than, and is greater than. Lesson 7 Communicate ideas with key math vocabulary: whole, one-half, one-fourth, one-eighth, one-sixteenth, equivalent, equals, is less than, and is greater than. Lesson 8 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, and equivalent. Lesson 9 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, and equivalent. Lesson 10 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, equivalent, equals, is less than, and is greater than. Lesson 14 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, equals, equivalent, mixed number and improper fraction. Lesson 15 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, equals, equation, equivalent, mixed number and improper fraction. Lesson 20 Communicate ideas with key math vocabulary: one-half, one-fourth, one-eighth, equivalent, is less than, is greater than, mixed



April 2010


Do The Math

number and improper fraction. Lesson 24 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, denominator, one-third, one-sixth, one-twelfth, equivalent, and equation. Lesson 25 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, denominator, equivalent, one-third, one-sixth, and one-twelfth. Lesson 27 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, numerator, denominator, equivalent, equals, is less than, is greater than, one-third, one-sixth, and one-twelfth. Lesson 29 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, numerator, fraction, denominator, equation, equivalent, equals, is less than, is greater than, mixed number, one-third, one-sixth, and one-twelfth. Do The Math: Fractions: B Lesson 1-12, 15-16, 18-28 Whiteboard Tools: Fraction Strips: identify equivalent fractions, combine fractions, write fractions Lesson 2, 5 Communicate ideas with key math vocabulary: common numerator, unit fraction, and equivalent. Lesson 2-5, 20-21, 25-28, 30 Identify equivalent fractions. Lesson 4 Introduce key math vocabulary: equivalent. Lesson 4 Communicate ideas with key math vocabulary: equivalent. Lesson 12 Communicate ideas with key math vocabulary: numerator, denominator, unit fraction, and equivalent. Lesson 15 Communicate ideas with key math vocabulary: numerator, denominator, unit fraction, improper fraction, and equivalent. Lesson 18 Communicate ideas with key math vocabulary: numerator, common numerator, denominator, and equivalent. Lesson 22 Identify fractions equivalent to 1/3. Lesson 22-25 Communicate ideas with key math vocabulary: numerator, common numerator, denominator, equivalent, and common denominator. Lesson 23 Identify fractions equivalent to 1/4. Lesson 24 Identify fractions equivalent to 1/2 and 1/3. Lesson 28



April 2010


Do The Math

Communicate ideas with key math vocabulary: common numerator, equivalent, and common denominator. Lesson 29 Communicate ideas with key math vocabulary: numerator, common numerator, denominator, unit fraction, improper fraction, mixed number equivalent, and common denominator. Lesson 30 Communicate ideas with key math vocabulary: numerator, common numerator, denominator, unit fraction, improper fraction, equivalent, and common denominator. Do The Math: Fractions: C Lesson 1-9 Whiteboard Tools: Fraction Strips: identify equivalent fractions, combine fractions, write fractions Lesson 4-6, 8-15, 17-25, 30 Identify and generate equivalent fractions.

4.N.3.2 Compare fractions, decimals and mixed numbers using models, benchmarks (e.g. 0, ½, 0.5, 1, n/n, 1 ½, 1.5, 2, 2n/n…) and reasoning.

The opportunity to meet this objective is available. For example, see: Do The Math: Fractions: A Lesson 7, 10, 27-28, 30 Compare fractions. Use the benchmark of 1/2. Lesson 19-20 Compare fractions. Do The Math: Fractions: B Lesson 1-5 Compare fractions with common numerators. Lesson 6-8, 21 Compare fractions with common denominators. Lesson 9 Compare unit fractions and fractions with common denominators. Lesson 10, 22-25 Compare fractions with common numerators and common denominators. Lesson 11-15 Compare fractions that are one unit fraction from 1 whole. Lesson 16-19 Compare fractions to 1/2. Lesson 20 Compare fractions using benchmarks, common numerators, common denominators, and fractions one unit fraction from 1 whole. Lesson 26 Compare and order fractions using benchmarks, common numerators, common denominators. Lesson 27-28 Compare and order fractions using benchmarks, common numerators, and common denominators. Lesson 30 Compare and order fractions using benchmarks, common numerators, common denominators, and fractions that are one



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Do The Math

unit fraction from 1 whole. Do The Math: Fractions: C Lesson 11-17, 19-25 Whiteboard Tools: Compute & Compare: adding/subtracting fractions

4.N.3.3 Represent mixed numbers as improper fractions and improper fractions as mixed numbers.

Do The Math: Fractions: A Lesson 13 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, is greater than, mixed number and improper fraction. Lesson 13 Introduce key math vocabulary: mixed number and improper fraction. Lesson 13 Use standard notation to represent fractions greater than 1 as either a mixed number or an improper fraction. Lesson 14 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, equals, equivalent, mixed number and improper fraction. Lesson 15 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, equals, equation, equivalent, mixed number and improper fraction. Lesson 16-17, 19-20, 26 Use standard notation to represent fractions less than and greater than 1. Do The Math: Fractions: B Lesson 3 Identify key math vocabulary: improper fraction and mixed number. Lesson 3 Communicate ideas with key math vocabulary: numerator, common numerator, denominator, unit fraction, improper fraction, and mixed number. Lesson 15 Communicate ideas with key math vocabulary: numerator, denominator, unit fraction, improper fraction, and equivalent. Lesson 29 Communicate ideas with key math vocabulary: numerator, common numerator, denominator, unit fraction, improper fraction, mixed number equivalent, and common denominator. Lesson 30 Communicate ideas with key math vocabulary: numerator, common numerator, denominator, unit fraction, improper fraction, equivalent, and common denominator. Do The Math: Fractions: C Lesson 1-4, 16 Rename improper fractions as mixed numbers. Lesson 2



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Do The Math

Introduce key math vocabulary: mixed number and improper fraction. Lesson 7, 9-10, 30 Rename improper fractions as mixed numbers and vice versa. Lesson 21 Communicate ideas with key math vocabulary: mixed number, estimate, and sequence. Lesson 22-23 Communicate ideas with key math vocabulary: lowest terms, mixed number, estimate, and sequence Lesson 29 Communicate ideas with key math vocabulary: lowest terms, simplest form, mixed number, improper fraction, estimate, and sequence. Lesson 30 Communicate ideas with key math vocabulary: lowest terms, mixed number, improper fraction, and estimate.

4.N.3.4 Understand the equivalence of fractions as related to the size of the whole.

Do The Math: Fractions: A Lesson 1 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, and one-eighth. Lesson 1-12, 14-15, 21-25, 27-28, 30 Name parts of a whole as fractions and use standard notation. Lesson 1-15, 20-28 Whiteboard Tools: Fraction Strips: identify equivalent fractions, combine fractions, write fractions Lesson 1-2, 5, 8-12, 14-15, 21, 23-25, 27 Identify equivalent fractions. Lesson 2 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, numerator, fraction bar, and denominator. Lesson 3, 5 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, and one-sixteenth. Lesson 4, 6 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, and equation. Lesson 7 Introduce key math vocabulary: equivalent, equals, is less than, and is greater than. Lesson 7 Communicate ideas with key math vocabulary: whole, one-half, one-fourth, one-eighth, one-sixteenth, equivalent, equals, is less than, and is greater than. Lesson 8 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, and equivalent. Lesson 9 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, and equivalent. Lesson 10 Communicate ideas with key math vocabulary: one-half, fraction,



April 2010


Do The Math

one-fourth, one-eighth, one-sixteenth, equivalent, equals, is less than, and is greater than. Lesson 11 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eight, and one-sixteenth. Lesson 12 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, equation, and equals. Lesson 13 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, is greater than, mixed number and improper fraction. Lesson 13 Name parts of a whole as fractions. Lesson 14 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, equals, equivalent, mixed number and improper fraction. Lesson 15 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, equals, equation, equivalent, mixed number and improper fraction. Lesson 16-17 Communicate ideas with key math vocabulary: whole, fraction, and one-fourth. Lesson 18 Use standard notation to names parts of a whole. Lesson 20 Communicate ideas with key math vocabulary: one-half, one-fourth, one-eighth, equivalent, is less than, is greater than, mixed number and improper fraction. Lesson 21 Communicate ideas with key math vocabulary: whole, denominator, one-third, one-sixth, and one-twelfth. Lesson 22 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-third, one-sixth, and one-twelfth. Lesson 24 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, denominator, one-third, one-sixth, one-twelfth, equivalent, and equation. Lesson 25 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, denominator, equivalent, one-third, one-sixth, and one-twelfth. Lesson 26 Communicate ideas with key math vocabulary: whole, fraction, one-third, one-sixth, and one twelfth. Lesson 27 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, numerator, denominator, equivalent, equals, is less than, is greater than, one-third, one-



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sixth, and one-twelfth. Lesson 29 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, numerator, fraction, denominator, equation, equivalent, equals, is less than, is greater than, mixed number, one-third, one-sixth, and one-twelfth. Do The Math: Fractions: B Lesson 1-2, 4, 7-10 Name parts of a whole as fractions and use standard notation. Lesson 1-12, 15-16, 18-28 Whiteboard Tools: Fraction Strips: identify equivalent fractions, combine fractions, write fractions Lesson 2, 5 Communicate ideas with key math vocabulary: common numerator, unit fraction, and equivalent. Lesson 2-5, 20-21, 25-28, 30 Identify equivalent fractions. Lesson 4 Introduce key math vocabulary: equivalent. Lesson 4 Communicate ideas with key math vocabulary: equivalent. Lesson 12 Communicate ideas with key math vocabulary: numerator, denominator, unit fraction, and equivalent. Lesson 15 Communicate ideas with key math vocabulary: numerator, denominator, unit fraction, improper fraction, and equivalent. Lesson 18 Communicate ideas with key math vocabulary: numerator, common numerator, denominator, and equivalent. Lesson 22-25 Communicate ideas with key math vocabulary: numerator, common numerator, denominator, equivalent, and common denominator. Lesson 28 Communicate ideas with key math vocabulary: common numerator, equivalent, and common denominator. Lesson 29 Communicate ideas with key math vocabulary: numerator, common numerator, denominator, unit fraction, improper fraction, mixed number equivalent, and common denominator. Lesson 30 Communicate ideas with key math vocabulary: numerator, common numerator, denominator, unit fraction, improper fraction, equivalent, and common denominator. Do The Math: Fractions: C Lesson 1-9 Whiteboard Tools: Fraction Strips: identify equivalent fractions, combine fractions, write fractions Lesson 4-6, 8-15, 17-25, 30 Identify and generate equivalent fractions.



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4.N.3.5 Represent pairs of equivalent ratios by composing and decomposing to include the smallest equivalent whole number ratio (ratio unit).

Do The Math: Fractions: A Lesson 1-15, 20-28 Whiteboard Tools: Fraction Strips: identify equivalent fractions, combine fractions, write fractions Lesson 1-2, 5, 8-12, 14-15, 21, 23-25, 27 Identify equivalent fractions. Lesson 7 Introduce key math vocabulary: equivalent, equals, is less than, and is greater than. Lesson 7 Communicate ideas with key math vocabulary: whole, one-half, one-fourth, one-eighth, one-sixteenth, equivalent, equals, is less than, and is greater than. Lesson 8 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, and equivalent. Lesson 9 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, and equivalent. Lesson 10 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, equivalent, equals, is less than, and is greater than. Lesson 14 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, equals, equivalent, mixed number and improper fraction. Lesson 15 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, equals, equation, equivalent, mixed number and improper fraction. Lesson 20 Communicate ideas with key math vocabulary: one-half, one-fourth, one-eighth, equivalent, is less than, is greater than, mixed number and improper fraction. Lesson 24 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, denominator, one-third, one-sixth, one-twelfth, equivalent, and equation. Lesson 25 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, denominator, equivalent, one-third, one-sixth, and one-twelfth. Lesson 27 Communicate ideas with key math vocabulary: one-half, fraction, one-fourth, one-eighth, one-sixteenth, numerator, denominator, equivalent, equals, is less than, is greater than, one-third, one-sixth, and one-twelfth. Lesson 29 Communicate ideas with key math vocabulary: whole, one-half, fraction, one-fourth, one-eighth, one-sixteenth, numerator, fraction, denominator, equation, equivalent, equals, is less than, is greater than, mixed number, one-third, one-sixth, and one-twelfth.



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Do The Math: Fractions: B Lesson 1-12, 15-16, 18-28 Whiteboard Tools: Fraction Strips: identify equivalent fractions, combine fractions, write fractions Lesson 2, 5 Communicate ideas with key math vocabulary: common numerator, unit fraction, and equivalent. Lesson 2-5, 20-21, 25-28, 30 Identify equivalent fractions. Lesson 4 Introduce key math vocabulary: equivalent. Lesson 4 Communicate ideas with key math vocabulary: equivalent. Lesson 12 Communicate ideas with key math vocabulary: numerator, denominator, unit fraction, and equivalent. Lesson 15 Communicate ideas with key math vocabulary: numerator, denominator, unit fraction, improper fraction, and equivalent. Lesson 18 Communicate ideas with key math vocabulary: numerator, common numerator, denominator, and equivalent. Lesson 22 Identify fractions equivalent to 1/3. Lesson 22-25 Communicate ideas with key math vocabulary: numerator, common numerator, denominator, equivalent, and common denominator. Lesson 23 Identify fractions equivalent to 1/4. Lesson 24 Identify fractions equivalent to 1/2 and 1/3. Lesson 28 Communicate ideas with key math vocabulary: common numerator, equivalent, and common denominator. Lesson 29 Communicate ideas with key math vocabulary: numerator, common numerator, denominator, unit fraction, improper fraction, mixed number equivalent, and common denominator. Lesson 30 Communicate ideas with key math vocabulary: numerator, common numerator, denominator, unit fraction, improper fraction, equivalent, and common denominator. Do The Math: Fractions: C Lesson 1 Introduce key math vocabulary: lowest terms and simplest form. Lesson 1 Communicate ideas with key math vocabulary: lowest terms and simplest form. Lesson 1-5, 7, 9 Rename fractions in simplest form



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Lesson 1-9 Whiteboard Tools: Fraction Strips: identify equivalent fractions, combine fractions, write fractions Lesson 2 Communicate ideas with key math vocabulary: lowest terms, simplest form, mixed number, and improper fraction. Lesson 3-5, 9 Communicate ideas with key math vocabulary: lowest terms, simplest form, and estimate. Lesson 4-6, 8-15, 17-25, 30 Identify and generate equivalent fractions. Lesson 7 Communicate ideas with key math vocabulary: lowest terms, simplest form, mixed number, and estimate. Lesson 10-13, 15-25, 27-28, 30, Rename fractions in lowest terms or simplest form. Lesson 10 Communicate ideas with key math vocabulary: lowest terms and estimate. Lesson 12-13 Communicate ideas with key math vocabulary: lowest terms and improper fraction. Lesson 16 Communicate ideas with key math vocabulary: lowest terms, simplest form, mixed number, improper fraction, and sequence. Lesson 18 Communicate ideas with key math vocabulary: lowest terms, simplest form, estimate, and sequence. Lesson 19 Communicate ideas with key math vocabulary: lowest terms, simplest form, mixed number, estimate, and sequence. Lesson 20 Communicate ideas with key math vocabulary: lowest terms, estimate, and sequence. Lesson 22-23 Communicate ideas with key math vocabulary: lowest terms, mixed number, estimate, and sequence. Lesson 25 Communicate ideas with key math vocabulary: lowest terms and sequence. Lesson 26 Communicate ideas with key math vocabulary: lowest terms. Lesson 27 Communicate ideas with key math vocabulary: lowest terms, simplest form, and sequence. Lesson 28 Communicate ideas with key math vocabulary: lowest terms, simplest form, mixed number, and sequence. Lesson 29 Communicate ideas with key math vocabulary: lowest terms, simplest form, mixed number, improper fraction, estimate, and sequence. Lesson 30



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Communicate ideas with key math vocabulary: lowest terms, mixed number, improper fraction, and estimate.

4.N.4 Use models to represent addition and subtraction of fractions and decimals.

4.N.4.1 Illustrate addition and subtraction of fractions, with like denominators, using area and length models.

Do The Math: Fractions: C Lesson 1 Add fractions with like denominators. Lesson 3-5, 7, 9-10, 18-20, 25, 30 Add and subtract fractions with unlike denominators. Lesson 11-13, 15, 26-28 Add fractions with like and unlike denominators. Lesson 11-17, 19-25 Whiteboard Tools: Compute & Compare: adding/subtracting fractions Lesson 16-17, 21 Add fractions with unlike denominators. Lesson 22 Subtract fractions with like and unlike denominators from mixed numbers. Lesson 23-24 Subtract fractions with unlike denominators.

4.N.4.3 Use estimation to justify the reasonableness of solutions.

Do The Math: Fractions: A Lesson 16-17, 19-20, 26 Solves problems involving fractions less than and greater than 1. Lesson 18 Solves problems using fractions. Lesson 30 Solve problems using fractions. Do The Math: Fractions: C Lesson 1 Add fractions with like denominators. Lesson 3-5, 7, 9-10, 18-20 Make estimates for sums and differences of fractions with unlike denominators. Lesson 3-5, 7, 9-10, 18-20, 25, 30 Add and subtract fractions with unlike denominators. Lesson 3-5, 9 Communicate ideas with key math vocabulary: lowest terms, simplest form, and estimate. Lesson 7 Communicate ideas with key math vocabulary: lowest terms, simplest form, mixed number, and estimate. Lesson 10 Communicate ideas with key math vocabulary: lowest terms and estimate. Lesson 11-13, 15, 26-28 Add fractions with like and unlike denominators. Lesson 16-17, 21 Add fractions with unlike denominators. Lesson 18



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Communicate ideas with key math vocabulary: lowest terms, simplest form, estimate, and sequence. Lesson 19 Communicate ideas with key math vocabulary: lowest terms, simplest form, mixed number, estimate, and sequence. Lesson 20 Communicate ideas with key math vocabulary: lowest terms, estimate, and sequence. Lesson 21 Communicate ideas with key math vocabulary: mixed number, estimate, and sequence. Lesson 22 Subtract fractions with like and unlike denominators from mixed numbers. Lesson 23 Make estimates for answers when subtracting fractions with unlike denominators. Lesson 23-24 Subtract fractions with unlike denominators. Lesson 25 Make estimates for answers when adding or subtracting fractions with unlike denominators. Lesson 26-28, 30 Solve problems using fractions. Lesson 29 Communicate ideas with key math vocabulary: lowest terms, simplest form, mixed number, improper fraction, estimate, and sequence. Lesson 30 Communicate ideas with key math vocabulary: lowest terms, mixed number, improper fraction, and estimate.

Algebra 4.A.1 Use mathematical properties to examine numerical relationships and solve mathematical problems.

4.A.1.1 Use mathematical properties (associative, commutative, distributive and identity) to make conjectures about observed relationships and to solve problems.

Do The Math: Addition and Subtraction: C Lesson 1-5 Use the Commutative Property of Addition and the Associative Property of Addition to solve problems. Do The Math: Multiplication: A Lesson 1-4, 19, 22 Whiteboard Tools: Drawing Tool: combining equal groups, show Distributive Property geometrically Lesson 4-5, 10-11, 20, 22, 24-25 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 22 Introduction key math vocabulary: Commutative Property of Multiplication. Lesson 22



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Communicate ideas with key math vocabulary: Commutative Property of Multiplication, factor, multiplication equation, product, and times. Lesson 23 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, equal, factor, multiplication, multiplication equation, product, and times. Lesson 25, 30 Write examples for the Commutative Property of Multiplication using factors 0 through 6. Lesson 25 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, factor, and product. Lesson 30 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, equal, factor, multiplication, multiplication equation, and product. Do The Math: Multiplication: B Lesson 2, 5, 10 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping. Lesson 3-4, 6, 8-9, 21 Use the Commutative Property of Multiplication to solve problems. Lesson 3-4, 6-9, 12, 14-15, 17, 19, 21 Whiteboard Tools: Multiplication Chart: commutative property, show multiples of a number, find the products of two numbers Lesson 3-4, 7-9, 16-17, 19, 27-28 Whiteboard Tools: Drawing Tool: combining equal groups, show Distributive Property geometrically Lesson 8, 22 Introduce key math vocabulary: Commutative Property of Multiplication. Lesson 8 Communicate ideas with key math vocabulary: multiplication equation, factor, product, and Commutative Property of Multiplication. Lesson 21 Communicate ideas with key math vocabulary: factor, product, Commutative Property of Multiplication, and multiple. Lesson 26 Communicate ideas with key math vocabulary: multiplication equation, factor, product, Commutative Property of Multiplication, multiple, and square number. Do The Math: Multiplication: C Lesson 1, 6 Whiteboard Tools: Drawing Tool: combining equal groups, show Distributive Property geometrically. Lesson 1, 6-8, 10, 17-20, 22-28, 30 Use the Distributive Property of Multiplication. Lesson 3 Use the Commutative and Associative Properties of Multiplication.



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Lesson 3 Introduce key math vocabulary: Commutative Properties of Multiplication and Associative Properties of Multiplication. Lesson 3 Communicate ideas with key math vocabulary: factor, product, Commutative Properties of Multiplication, and Associative Properties of Multiplication. Lesson 4-5, 13-16, 21 Use the Commutative, Associative, and Distributive Properties of Multiplication. Lesson 29 Communicate ideas with key math vocabulary: factor, product, Commutative Property of Multiplication, Associative Property of Multiplication, multiple, and estimate.

4.A.2 Use models to write equations and inequalities with variables.

4.A.3 Analyze patterns to identify rules.

Geometry 4.G.1 Understand the concept of symmetry and transformations.

4.M.1 Use customary units to measure length, weight*, capacity and temperature to solve problems. *More properly mass, but most commonly understood as weight at this grade band.

4.M.2 Understand the relationship between area and perimeter of polygons.

Statistics and Probability 4.S.1 Interpret data from investigations involving one or two sets of data.

4.S.2 Predict the outcomes of simple probability experiments.



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Number and Operations 5.N.1 Understand the value of whole numbers, fractions and decimal representations from 0.001 to 1,000,000.

5.N.1.1 Understand the value of whole numbers to 1,000,000.

Do The Math: Addition and Subtraction: A Lesson 1-6 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10. Lesson 7-10, 12 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10, add numbers with sums of 19. Lesson 11-13 Whiteboard Tools: The Hundred Frame: Count by 10s, represent numbers to 100, place-value parts. Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally. Do The Math: Addition and Subtraction: C Lesson 6-8 Write numbers to 99 in expanded form. Lesson 6 Communicate ideas with key math vocabulary: expanded form and place value. Lesson 9-10 Write numbers to 999 in expanded form. Lesson 9 Introduce key math vocabulary: digit and place value. Lesson 9, 25, 30 Communicate ideas with key math vocabulary: expanded form, digit, and place value. Lesson 10 Communicate ideas with key math vocabulary: expanded form, digit, place value, and equation. Lesson 16 Communicate ideas with key math vocabulary: expanded form. Lesson 18-20, 27 Communicate ideas with key math vocabulary: digit and place value. Lesson 21, 25, 30 Write numbers to 9,999 in expanded form. Lesson 21, 26 Communicate ideas with key math vocabulary: expanded form and digit. Lesson 22-23, 28 Communicate ideas with key math vocabulary: digit. Lesson 27 Read and write numbers to 99,999. Lesson 30



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Read and write numbers to 999,999. Lesson 30 Communicate ideas with key math vocabulary: expanded form, digit, and place value.

5.N.1.2 Compare fractions of like denominators symbolically and unlike denominators using area models and number lines (<, >, ≤, ≥, =, ≠).

Do The Math: Fractions: A Lesson 7, 10, 27-28, 30 Compare fractions. Use the benchmark of 1/2. Lesson 19-20 Compare fractions. Do The Math: Fractions: B Lesson 1-5 Compare fractions with common numerators. Lesson 6-8, 21 Compare fractions with common denominators. Lesson 9 Compare unit fractions and fractions with common denominators. Lesson 10, 22-25 Compare fractions with common numerators and common denominators. Lesson 11-15 Compare fractions that are one unit fraction from 1 whole. Lesson 16-19 Compare fractions to 1/2. Lesson 20 Compare fractions using benchmarks, common numerators, common denominators, and fractions one unit fraction from 1 whole. Lesson 26 Compare and order fractions using benchmarks, common numerators, common denominators. Lesson 27-28 Compare and order fractions using benchmarks, common numerators, and common denominators. Lesson 30 Compare and order fractions using benchmarks, common numerators, common denominators, and fractions that are one unit fraction from 1 whole. Do The Math: Fractions: C Lesson 11-17, 19-25 Whiteboard Tools: Compute & Compare: adding/subtracting fractions

5.N.1.4 Represent fair share of multiple discrete wholes and continuous wholes symbolically and name an individual share as a/b.

Do The Math: Fractions: A Lesson 1-12, 14-15, 21-25, 27-28, 30 Name parts of a whole as fractions and use standard notation. Lesson 13 Use standard notation to represent fractions greater than 1 as either a mixed number or an improper fraction. Lesson 16-17, 19-20, 26 Use standard notation to represent fractions less than and greater



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than 1. Lesson 18 Use standard notation to names parts of a whole. Do The Math: Fractions: B Lesson 1-2, 4, 7-10 Name parts of a whole as fractions and use standard notation.

5.N.2 Use combinations of whole number addition, subtraction, multiplication and division to solve multi-step problems in context.

5.N.2.1 Use strategies to develop fluency in whole number addition and subtraction to solve multi-step problems in context.

Do The Math: Addition and Subtraction: A Lesson 1, 3, 6, 8-10, 13, 19, 23-25, 27-28, 30 Identify pairs of numbers with sums of 10. Lesson 1-6 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10 Lesson 2, 5 Calculate the sum to 12 for any two addends. Lesson 4-5 Identify numbers with sums of 10. Lesson 5 Solve word problems with two or three addends with sums to 12. Lesson 6 Whiteboard Tools: Number Cards: find combinations with the sum of 10, find sums of 11 or 12, Lesson 7, 9-19 Calculate the sum to 19 for any two addends. Lesson 7-10, 12 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10, add numbers with sums of 19 Lesson 8, 10 Solve word problems with two addends with sums to 19. Lesson 11-14, 16, 18, 27 Write any two-digit number as tens and ones. Lesson 12 Calculate the sum to 19 for more than two addends. Lesson 13, 15-16, 18-26 Solve word problems with two addends with sums to 99. Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally Lesson 17, 20, 25, 30 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Do The Math: Addition and Subtraction: B Lesson 1 Identify pairs of numbers with sums of 10



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Lesson 1, 3-22, 24-28, 30 Calculate the difference between numbers up to 100. Lesson 2 Calculate the difference between numbers up to 10. Lesson 4-5, 8-10, 12, 15, 19-20, 25, 27 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Lesson 11, 13-15 Solve take-away word problems Lesson 16, 19-20 Write and solve comparing and take-away word problems. Lesson 17-18, 28, 30 Write and solve comparing word problems. Lesson 21-25 Write and solve part-part-whole problems Lesson 21-26 Identify pairs of numbers with sums of 100. Lesson 26 Solve comparing, take-away, and part-part-whole word problems Do The Math: Addition and Subtraction: C Lesson 1-5 Calculate sums with addends up to 10. Lesson 1-5 Use the Commutative Property of Addition and the Associative Property of Addition to solve problems. Lesson 6-8 Calculate sums of two-digit addends Lesson 9-10 Calculate sums of three-digit addends. Lesson 11-20 Calculate sums and differences of two- and three-digit numbers. Lesson 22 Calculate differences for 5-digit and 6-digit numbers that have been rounded to the nearest thousand. Lesson 23-25 Calculate sums and differences of numbers to 9,999 Lesson 23-25 Solve addition and subtraction word problems with numbers to 9,999. Lesson 23-25 Solve addition and subtraction word problems with numbers to 9,999. Lesson 28-30 Solve subtraction word problems with numbers to 99,999. Lesson 28 Calculate differences of five-digit numbers that have been rounded to the nearest thousand Lesson 29-30 Calculate differences of six-digit numbers that have been rounded to the nearest thousand.



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5.N.2.2 Use multiplication up to three-digit by two-digit and division up to three-digit by two-digit with and without remainders to develop fluency.

Do The Math: Multiplication: A Lesson 4-5, 10-11, 20, 22, 24-25 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 18, 20, 25, 30 Calculate the product when one factor is 0 Do The Math: Multiplication: B Lesson 1-21, 23-25, 27-30 Calculate products with factors 0 through 12. Lesson 2, 5, 10 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 6-9 Whiteboard Tools: Missing Product Chart: familiarity with products up to 12 x 12 Lesson 13, 20, 22-24 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 22-23, 25, 29-30 Recall products with factors 0 though 12. Do The Math: Multiplication: C Lesson 1,3 , 4, 7-28, 30 Recall products for facts through 12 x 12. Lesson 1, 7-8, 10 Calculate products with one-digit factors times two-digit factors. Lesson 2, 5, 15 Calculate products of two-digit factors times 10. Lesson 6 Calculate products with one-digit factors times 11 Lesson 9-10 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 11-12 Calculate products of one-digit factors or two-digit factors times 10 Lesson 11-12 Whiteboard Tools: Times 10: multiplying two-digit numbers by 10 Lesson 17-20 Calculate products with two-digit factors times one-digit factors. Lesson 22 Calculate products with three-digit factors times two-digit factors Lesson 24-25 Calculate products with two-digit multiples of 10. Lesson 26-28, 30 Calculate products with two-digit factors times two-digit factors Do The Math: Division: A Lesson 1, 12-17, 19-26, 30 Calculate quotients with and without remainders for dividends up to 100 and divisors up to 10. Do The Math: Division: B Lesson 4-5, 8-9, 16, 27 Determine whether one number is divisible by another.



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Lesson 16 Calculate the quotients and remainders for one- and two-digit numbers divided by one-digit divisors. Lesson 17 Calculate the quotients for two-digit numbers that are divisible by 2. Lesson 19 Identify numbers divisible by 10. Lesson 20 Identify numbers divisible by 2, 5, and 10. Lesson 21-28, 30 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors. Do The Math: Division: C Lesson 1-3, 5 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors. Lesson 4 Multiply one-digit numbers by multiples of 10 from 10 to 100. Lesson 16-20 Calculate the quotients and remainder for three-digit dividends and one-digit divisors Lesson 21-22 Calculate the quotients and remainder for three-digit dividends and the divisor 10. Lesson 23-25 Calculate the quotients and remainders for three-digit dividends and divisors that are multiples of 10. Lesson 27 Calculate the quotients and remainders for three-digit dividends and the divisor 25. Lesson 28 Calculate the quotients and remainders for three-digit dividends and two-digit divisors Lesson 30 Calculate the quotients and remainders of problems involving three-digit dividends and one-digit and two-digit divisors.

5.N.2.3 Use the concept of division to solve problems with remainders expressed as numbers left over and as fractions.

Do The Math: Division: A Lesson 1, 12-17, 19-26, 30 Calculate quotients with and without remainders for dividends up to 100 and divisors up to 10. Do The Math: Division: B Lesson 4-5, 8-9, 16, 27 Determine whether one number is divisible by another. Lesson 16 Calculate the quotients and remainders for one- and two-digit numbers divided by one-digit divisors. Lesson 17 Calculate the quotients for two-digit numbers that are divisible by 2. Lesson 21-28, 30



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Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors. Do The Math: Division: C Lesson 1-3, 5 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors. Lesson 16-20 Calculate the quotients and remainder for three-digit dividends and one-digit divisors Lesson 21-22 Calculate the quotients and remainder for three-digit dividends and the divisor 10. Lesson 23-25 Calculate the quotients and remainders for three-digit dividends and divisors that are multiples of 10. Lesson 27 Calculate the quotients and remainders for three-digit dividends and the divisor 25. Lesson 28 Calculate the quotients and remainders for three-digit dividends and two-digit divisors Lesson 30 Calculate the quotients and remainders of problems involving three-digit dividends and one-digit and two-digit divisors.

5.N.2.4 Identify prime factors (for numbers less than 60) and multiples by composing and decomposing whole numbers.

The opportunity to meet this objective is available. For example, see: Do The Math: Multiplication: A Lesson 1 Combine equal groups. Lesson 1-4, 19, 22 Whiteboard Tools: Drawing Tool: combining equal groups, show Distributive Property geometrically Lesson 2-5, 8-10, 19 Represent combining equal groups with related addition and multiplication equations. Lesson 4-5, 10-11, 20, 22, 24-25 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 6-7 Identify examples of equal groups Lesson 9 Represent equal groups with rows of tiles. Lesson 9 Whiteboard Tools: Tiles Do The Math: Multiplication: B Lesson 1-2 Represent arrangements of equal rows with multiplication equations. Lesson 2, 5, 10 Whiteboard Tools: Capture Cards: commutative property,



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multiplication facts through 6 x 6, grouping Lesson 3-4, 7, 16 Represent arrangements of equal rows and rectangles with multiplication equations. Lesson 3-4, 7-9, 16-17, 19, 27-28 Whiteboard Tools: Drawing Tool: combining equal groups, show Distributive Property geometrically Lesson 5-6, 8-11, 17, 20, 27-28 Represent rectangles with multiplication equations. Lesson 12, 14 Communicate ideas with key math vocabulary: factor, product, and multiple. Lesson 15 Communicate ideas with key math vocabulary: multiplication equation, factor, product, and multiple. Lesson 18 Communicate ideas with key math vocabulary: factor, product, and square number. Lesson 19 Communicate ideas with key math vocabulary: product and square number. Lesson 20 Communicate ideas with key math vocabulary: multiplication equation, factor, product, and square number. Lesson 21 Communicate ideas with key math vocabulary: factor, product, Commutative Property of Multiplication, and multiple. Lesson 26 Communicate ideas with key math vocabulary: multiplication equation, factor, product, Commutative Property of Multiplication, multiple, and square number. Do The Math: Multiplication: C Lesson 1, 6 Whiteboard Tools: Drawing Tool: combining equal groups, show Distributive Property geometrically Lesson 16, 21, 24 Communicate ideas with key math vocabulary: factor, product, and multiple. Lesson 18-20, 26- 28 Introduce key math vocabulary: estimate. Communicate ideas with key math vocabulary: factor, product, multiple, and estimate. Lesson 16, 21, 24 Communicate ideas with key math vocabulary: factor, product, and multiple. Lesson 29 Communicate ideas with key math vocabulary: factor, product, Commutative Property of Multiplication, Associative Property of Multiplication, multiple, and estimate.

5.N.2.5 Use estimation to justify the reasonableness of solutions.

Do The Math: Addition and Subtraction: A Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value



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and number sense, adding one- and two-digit numbers, add numbers mentally. Do The Math: Addition and Subtraction: C Lesson 22 Calculate differences for 5-digit and 6-digit numbers that have been rounded to the nearest thousand. Lesson 28 Calculate differences of five-digit numbers that have been rounded to the nearest thousand. Lesson 29 Introduce key math vocabulary: rounded number. Lesson 29-30 Calculate differences of six-digit numbers that have been rounded to the nearest thousand. Lesson 29 Communicate ideas with key math vocabulary: digit and rounded number. Do The Math: Multiplication: C Lesson 18 Introduce key math vocabulary: estimate. Lesson 18-20, 22-23, 26-28, 30 Make estimates of products. Lesson 18-20, 26- 28 Introduce key math vocabulary: estimate. Communicate ideas with key math vocabulary: factor, product, multiple, and estimate. Lesson 22-23 Communicate ideas with key math vocabulary: factor, product, and estimate. Lesson 25, 30 Communicate ideas with key math vocabulary: product and estimate. Lesson 29 Communicate ideas with key math vocabulary: factor, product, Commutative Property of Multiplication, Associative Property of Multiplication, multiple, and estimate.

5.N.3 Use strategies to solve problems involving addition and subtraction of fractions and decimals.

5.N.3.1 Use a variety of strategies to solve problems involving addition and subtraction of fractions with unlike denominators.

Do The Math: Fractions: C Lesson 3-5, 7, 9-10, 18-20, 25, 30 Add and subtract fractions with unlike denominators. Lesson 11-17, 19-25 Whiteboard Tools: Compute & Compare: adding/subtracting fractions Lesson 11-13, 15, 26-28 Add fractions with like and unlike denominators. Lesson 16-17, 21 Add fractions with unlike denominators.



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Lesson 22 Subtract fractions with like and unlike denominators from mixed numbers. Lesson 23-24 Subtract fractions with unlike denominators.

5.N.3.3 Use estimation of sums and differences of fractions and decimals to justify reasonableness of solutions.

The opportunity to meet this objective is available. For example, see: Do The Math: Fractions: A Lesson 16-17, 19-20, 26 Solves problems involving fractions less than and greater than 1. Lesson 18 Solves problems using fractions. Lesson 30 Solve problems using fractions. Do The Math: Fractions: C Lesson 1 Add fractions with like denominators. Lesson 3-5, 7, 9-10, 18-20 Make estimates for sums and differences of fractions with unlike denominators. Lesson 3-5, 7, 9-10, 18-20, 25, 30 Add and subtract fractions with unlike denominators. Lesson 3-5, 9 Communicate ideas with key math vocabulary: lowest terms, simplest form, and estimate. Lesson 7 Communicate ideas with key math vocabulary: lowest terms, simplest form, mixed number, and estimate. Lesson 10 Communicate ideas with key math vocabulary: lowest terms and estimate. Lesson 11-13, 15, 26-28 Add fractions with like and unlike denominators. Lesson 16-17, 21 Add fractions with unlike denominators. Lesson 18 Communicate ideas with key math vocabulary: lowest terms, simplest form, estimate, and sequence. Lesson 19 Communicate ideas with key math vocabulary: lowest terms, simplest form, mixed number, estimate, and sequence. Lesson 20 Communicate ideas with key math vocabulary: lowest terms, estimate, and sequence. Lesson 21 Communicate ideas with key math vocabulary: mixed number, estimate, and sequence. Lesson 22 Subtract fractions with like and unlike denominators from mixed numbers. Lesson 23



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Make estimates for answers when subtracting fractions with unlike denominators. Lesson 23-24 Subtract fractions with unlike denominators. Lesson 25 Make estimates for answers when adding or subtracting fractions with unlike denominators. Lesson 26-28, 30 Solve problems using fractions. Lesson 29 Communicate ideas with key math vocabulary: lowest terms, simplest form, mixed number, improper fraction, estimate, and sequence. Lesson 30 Communicate ideas with key math vocabulary: lowest terms, mixed number, improper fraction, and estimate.

5.N.4 Use tables and graphs to compare ratios.

Algebra 5.A.1 Apply mathematical operations to solve equations.

5.A.1.2 Use combinations of addition, subtraction, multiplication and division with whole numbers to solve one- and two- step equations.

The opportunity to meet this objective is available. For example, see: Do The Math: Addition and Subtraction: A Lesson 1, 3, 6, 8-10, 13, 19, 23-25, 27-28, 30 Identify pairs of numbers with sums of 10. Lesson 1-6 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10 Lesson 2, 5 Calculate the sum to 12 for any two addends. Lesson 4-5 Identify numbers with sums of 10. Lesson 5 Solve word problems with two or three addends with sums to 12. Lesson 6 Whiteboard Tools: Number Cards: find combinations with the sum of 10, find sums of 11 or 12, Lesson 7, 9-19 Calculate the sum to 19 for any two addends. Lesson 7-10, 12 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10, add numbers with sums of 19 Lesson 8, 10 Solve word problems with two addends with sums to 19. Lesson 11-14, 16, 18, 27 Write any two-digit number as tens and ones. Lesson 12 Calculate the sum to 19 for more than two addends. Lesson 13, 15-16, 18-26



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Solve word problems with two addends with sums to 99. Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally Lesson 17, 20, 25, 30 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Do The Math: Addition and Subtraction: B Lesson 1 Identify pairs of numbers with sums of 10 Lesson 1, 3-22, 24-28, 30 Calculate the difference between numbers up to 100. Lesson 2 Calculate the difference between numbers up to 10. Lesson 4-5, 8-10, 12, 15, 19-20, 25, 27 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Lesson 11, 13-15 Solve take-away word problems Lesson 16, 19-20 Write and solve comparing and take-away word problems. Lesson 17-18, 28, 30 Write and solve comparing word problems. Lesson 21-25 Write and solve part-part-whole problems Lesson 21-26 Identify pairs of numbers with sums of 100. Lesson 26 Solve comparing, take-away, and part-part-whole word problems Do The Math: Addition and Subtraction: C Lesson 1-5 Calculate sums with addends up to 10. Lesson 1-5 Use the Commutative Property of Addition and the Associative Property of Addition to solve problems. Lesson 6-8 Calculate sums of two-digit addends Lesson 9-10 Calculate sums of three-digit addends. Lesson 11-20 Calculate sums and differences of two- and three-digit numbers. Lesson 22 Calculate differences for 5-digit and 6-digit numbers that have been rounded to the nearest thousand. Lesson 23-25 Calculate sums and differences of numbers to 9,999 Lesson 23-25 Solve addition and subtraction word problems with numbers to 9,999.



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Lesson 23-25 Solve addition and subtraction word problems with numbers to 9,999. Lesson 28-30 Solve subtraction word problems with numbers to 99,999. Lesson 28 Calculate differences of five-digit numbers that have been rounded to the nearest thousand Lesson 29-30 Calculate differences of six-digit numbers that have been rounded to the nearest thousand. Do The Math: Multiplication: A Lesson 4-5, 10-11, 20, 22, 24-25 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 18, 20, 25, 30 Calculate the product when one factor is 0 Do The Math: Multiplication: B Lesson 1-21, 23-25, 27-30 Calculate products with factors 0 through 12. Lesson 2, 5, 10 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 6-9 Whiteboard Tools: Missing Product Chart: familiarity with products up to 12 x 12 Lesson 13, 20, 22-24 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 22-23, 25, 29-30 Recall products with factors 0 though 12. Do The Math: Multiplication: C Lesson 1,3 , 4, 7-28, 30 Recall products for facts through 12 x 12. Lesson 1, 7-8, 10 Calculate products with one-digit factors times two-digit factors. Lesson 2, 5, 15 Calculate products of two-digit factors times 10. Lesson 6 Calculate products with one-digit factors times 11 Lesson 9-10 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 11-12 Calculate products of one-digit factors or two-digit factors times 10 Lesson 11-12 Whiteboard Tools: Times 10: multiplying two-digit numbers by 10 Lesson 17-20 Calculate products with two-digit factors times one-digit factors. Lesson 22 Calculate products with three-digit factors times two-digit factors Lesson 24-25



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Calculate products with two-digit multiples of 10. Lesson 26-28, 30 Calculate products with two-digit factors times two-digit factors Do The Math: Division: A Lesson 1, 12-17, 19-26, 30 Calculate quotients with and without remainders for dividends up to 100 and divisors up to 10. Do The Math: Division: B Lesson 4-5, 8-9, 16, 27 Determine whether one number is divisible by another. Lesson 16 Calculate the quotients and remainders for one- and two-digit numbers divided by one-digit divisors. Lesson 17 Calculate the quotients for two-digit numbers that are divisible by 2. Lesson 19 Identify numbers divisible by 10. Lesson 20 Identify numbers divisible by 2, 5, and 10. Lesson 21-28, 30 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors. Do The Math: Division: C Lesson 1-3, 5 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors. Lesson 4 Multiply one-digit numbers by multiples of 10 from 10 to 100. Lesson 16-20 Calculate the quotients and remainder for three-digit dividends and one-digit divisors Lesson 21-22 Calculate the quotients and remainder for three-digit dividends and the divisor 10. Lesson 23-25 Calculate the quotients and remainders for three-digit dividends and divisors that are multiples of 10. Lesson 27 Calculate the quotients and remainders for three-digit dividends and the divisor 25. Lesson 28 Calculate the quotients and remainders for three-digit dividends and two-digit divisors Lesson 30 Calculate the quotients and remainders of problems involving three-digit dividends and one-digit and two-digit divisors.

5.A.2 Apply the concept of inequality.



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5.A.3 Analyze growing and repeating patterns to solve problems.

Geometry 5.G.1 Apply properties to classify polygons.

5.G.2 Understand the relationships between rectangles and rectangular prisms.

Measurement 5.M.1 Use a protractor to measure angles.

5.M.2 Use measurement of temperature and of elapsed time to solve problems.

Statistics and Probability 5.S.1 Interpret trends in data from statistical investigations.



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Number and Operations 6.N.1 Use a variety of strategies (including models, pictures, mental computation) to solve problems involving multiplication and division of non-negative rational numbers.

6.N.2 Use combinations of addition, subtraction, multiplication and division for non-negative rational numbers to solve multi-step problems.

6.N.2.1 Use formal algorithms for all four operations for non-negative rational numbers.




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Do The Math: Multiplication: A Lesson 4-5, 10-11, 20, 22, 24-25 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 18, 20, 25, 30 Calculate the product when one factor is 0 Do The Math: Multiplication: B Lesson 1-21, 23-25, 27-30 Calculate products with factors 0 through 12. Lesson 2, 5, 10 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 6-9 Whiteboard Tools: Missing Product Chart: familiarity with products up to 12 x 12 Lesson 13, 20, 22-24 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 22-23, 25, 29-30 Recall products with factors 0 though 12. Do The Math: Multiplication: C Lesson 1,3 , 4, 7-28, 30 Recall products for facts through 12 x 12. Lesson 1, 7-8, 10 Calculate products with one-digit factors times two-digit factors. Lesson 2, 5, 15 Calculate products of two-digit factors times 10. Lesson 6 Calculate products with one-digit factors times 11 Lesson 9-10 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 11-12 Calculate products of one-digit factors or two-digit factors times 10 Lesson 11-12 Whiteboard Tools: Times 10: multiplying two-digit numbers by 10 Lesson 17-20 Calculate products with two-digit factors times one-digit factors. Lesson 22 Calculate products with three-digit factors times two-digit factors Lesson 24-25 Calculate products with two-digit multiples of 10. Lesson 26-28, 30 Calculate products with two-digit factors times two-digit factors Do The Math: Division: A Lesson 1, 12-17, 19-26, 30 Calculate quotients with and without remainders for dividends up to 100 and divisors up to 10. Do The Math: Division: B Lesson 4-5, 8-9, 16, 27 Determine whether one number is divisible by another.



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Lesson 16 Calculate the quotients and remainders for one- and two-digit numbers divided by one-digit divisors. Lesson 17 Calculate the quotients for two-digit numbers that are divisible by 2. Lesson 19 Identify numbers divisible by 10. Lesson 20 Identify numbers divisible by 2, 5, and 10. Lesson 21-28, 30 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors. Do The Math: Division: C Lesson 1-3, 5 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors. Lesson 4 Multiply one-digit numbers by multiples of 10 from 10 to 100. Lesson 16-20 Calculate the quotients and remainder for three-digit dividends and one-digit divisors Lesson 21-22 Calculate the quotients and remainder for three-digit dividends and the divisor 10. Lesson 23-25 Calculate the quotients and remainders for three-digit dividends and divisors that are multiples of 10. Lesson 27 Calculate the quotients and remainders for three-digit dividends and the divisor 25. Lesson 28 Calculate the quotients and remainders for three-digit dividends and two-digit divisors Lesson 30 Calculate the quotients and remainders of problems involving three-digit dividends and one-digit and two-digit divisors. Do The Math: Fractions: C Lesson 1 Add fractions with like denominators. Lesson 3-5, 7, 9-10, 18-20, 25, 30 Add and subtract fractions with unlike denominators. Lesson 11-17, 19-25 Whiteboard Tools: Compute & Compare: adding/subtracting fractions Lesson 11-13, 15, 26-28 Add fractions with like and unlike denominators. Lesson 16-17, 21 Add fractions with unlike denominators. Lesson 22 Subtract fractions with like and unlike denominators from mixed



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numbers. Lesson 23-24 Subtract fractions with unlike denominators.

6.N.2.2 Understand when the associative and commutative properties hold true for non-negative rational numbers.

Do The Math: Addition and Subtraction: C Lesson 1-5 Use the Commutative Property of Addition and the Associative Property of Addition to solve problems. Do The Math: Multiplication: A Lesson 4-5, 10-11, 20, 22, 24-25 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 22 Introduction key math vocabulary: Commutative Property of Multiplication. Lesson 22 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, factor, multiplication equation, product, and times. Lesson 23 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, equal, factor, multiplication, multiplication equation, product, and times. Lesson 25, 30 Write examples for the Commutative Property of Multiplication using factors 0 through 6. Lesson 25 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, factor, and product. Lesson 30 Communicate ideas with key math vocabulary: Commutative Property of Multiplication, equal, factor, multiplication, multiplication equation, and product. Do The Math: Multiplication: B Lesson 2, 5, 10 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping. Lesson 3-4, 6, 8-9, 21 Use the Commutative Property of Multiplication to solve problems. Lesson 3-4, 6-9, 12, 14-15, 17, 19, 21 Whiteboard Tools: Multiplication Chart: commutative property, show multiples of a number, find the products of two numbers Lesson 8, 22 Introduce key math vocabulary: Commutative Property of Multiplication. Lesson 8 Communicate ideas with key math vocabulary: multiplication equation, factor, product, and Commutative Property of Multiplication. Lesson 21 Communicate ideas with key math vocabulary: factor, product, Commutative Property of Multiplication, and multiple.



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Lesson 26 Communicate ideas with key math vocabulary: multiplication equation, factor, product, Commutative Property of Multiplication, multiple, and square number. Do The Math: Multiplication: C Lesson 3 Use the Commutative and Associative Properties of Multiplication. Lesson 3 Introduce key math vocabulary: Commutative Properties of Multiplication and Associative Properties of Multiplication. Lesson 3 Communicate ideas with key math vocabulary: factor, product, Commutative Properties of Multiplication, and Associative Properties of Multiplication. Lesson 4-5, 13-16, 21 Use the Commutative, Associative, and Distributive Properties of Multiplication. Lesson 29 Communicate ideas with key math vocabulary: factor, product, Commutative Property of Multiplication, Associative Property of Multiplication, multiple, and estimate.

6.N.3 Understand the relationship between integers, non-negative decimals, fractions and percents.

6.N.3.1 Compare integers and non-negative decimals, fractions and percents using the number line.

The opportunity to meet this objective is available. For example, see: Do The Math: Fractions: A Lesson 7, 10, 27-28, 30 Compare fractions. Use the benchmark of 1/2. Lesson 19-20 Compare fractions. Do The Math: Fractions: B Lesson 1-5 Compare fractions with common numerators. Lesson 6-8, 21 Compare fractions with common denominators. Lesson 9 Compare unit fractions and fractions with common denominators. Lesson 10, 22-25 Compare fractions with common numerators and common denominators. Lesson 11-15 Compare fractions that are one unit fraction from 1 whole. Lesson 16-19 Compare fractions to 1/2. Lesson 20 Compare fractions using benchmarks, common numerators, common denominators, and fractions one unit fraction from 1



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whole. Lesson 26 Compare and order fractions using benchmarks, common numerators, common denominators. Lesson 27-28 Compare and order fractions using benchmarks, common numerators, and common denominators. Lesson 30 Compare and order fractions using benchmarks, common numerators, common denominators, and fractions that are one unit fraction from 1 whole. Do The Math: Fractions: C Lesson 11-17, 19-25 Whiteboard Tools: Compute & Compare: adding/subtracting fractions

6.N.4 Use the concept of unit rate to solve problems.

6.N.5 Understand large and small numbers using exponents and exponential notation.

Algebra 6.A.1 Apply mathematical operations and properties for non-negative rational numbers to solve one-step equations and inequalities.

6.A.1.2 Use mathematical operations and properties to solve one-step equations.

Do The Math: Addition and Subtraction: A Lesson 1, 3, 6, 8-10, 13, 19, 23-25, 27-28, 30 Identify pairs of numbers with sums of 10. Lesson 1-5 Use the Commutative Property of Addition and the Associative Property of Addition to solve problems. Lesson 1-6 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10 Lesson 2, 5 Calculate the sum to 12 for any two addends. Lesson 4-5 Identify numbers with sums of 10. Lesson 5 Solve word problems with two or three addends with sums to 12. Lesson 6 Whiteboard Tools: Number Cards: find combinations with the sum of 10, find sums of 11 or 12, Lesson 7, 9-19 Calculate the sum to 19 for any two addends. Lesson 7-10, 12 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10, add numbers with sums of 19 Lesson 8, 10



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Solve word problems with two addends with sums to 19. Lesson 11-14, 16, 18, 27 Write any two-digit number as tens and ones. Lesson 12 Calculate the sum to 19 for more than two addends. Lesson 13, 15-16, 18-26 Solve word problems with two addends with sums to 99. Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally Lesson 17, 20, 25, 30 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Do The Math: Addition and Subtraction: B Lesson 1 Identify pairs of numbers with sums of 10 Lesson 1, 3-22, 24-28, 30 Calculate the difference between numbers up to 100. Lesson 2 Calculate the difference between numbers up to 10. Lesson 4-5, 8-10, 12, 15, 19-20, 25, 27 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Lesson 11, 13-15 Solve take-away word problems Lesson 16, 19-20 Write and solve comparing and take-away word problems. Lesson 17-18, 28, 30 Write and solve comparing word problems. Lesson 21-25 Write and solve part-part-whole problems Lesson 21-26 Identify pairs of numbers with sums of 100. Lesson 26 Solve comparing, take-away, and part-part-whole word problems Do The Math: Addition and Subtraction: C Lesson 1-5 Calculate sums with addends up to 10. Lesson 1-5 Use the Commutative Property of Addition and the Associative Property of Addition to solve problems. Lesson 6-8 Calculate sums of two-digit addends Lesson 9-10 Calculate sums of three-digit addends. Lesson 11-20 Calculate sums and differences of two- and three-digit numbers. Lesson 22 Calculate differences for 5-digit and 6-digit numbers that have



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been rounded to the nearest thousand. Lesson 23-25 Calculate sums and differences of numbers to 9,999 Lesson 23-25 Solve addition and subtraction word problems with numbers to 9,999. Lesson 23-25 Solve addition and subtraction word problems with numbers to 9,999. Lesson 28-30 Solve subtraction word problems with numbers to 99,999. Lesson 28 Calculate differences of five-digit numbers that have been rounded to the nearest thousand Lesson 29-30 Calculate differences of six-digit numbers that have been rounded to the nearest thousand. Do The Math: Multiplication: A Lesson 4-5, 10-11, 20, 22, 24-25 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 18, 20, 25, 30 Calculate the product when one factor is 0 Do The Math: Multiplication: B Lesson 1-21, 23-25, 27-30 Calculate products with factors 0 through 12. Lesson 2, 5, 10 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 3-4, 6, 8-9, 21 Use the Commutative Property of Multiplication to solve problems. Lesson 3-4, 6-9, 12, 14-15, 17, 19, 21 Whiteboard Tools: Multiplication Chart: commutative property, show multiples of a number, find the products of two numbers Lesson 6-9 Whiteboard Tools: Missing Product Chart: familiarity with products up to 12 x 12 Lesson 13, 20, 22-24 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 22-23, 25, 29-30 Recall products with factors 0 though 12. Do The Math: Multiplication: C Lesson 1,3 , 4, 7-28, 30 Recall products for facts through 12 x 12. Lesson 1, 7-8, 10 Calculate products with one-digit factors times two-digit factors. Lesson 2, 5, 15 Calculate products of two-digit factors times 10. Lesson 3 Use the Commutative and Associative Properties of Multiplication.



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Lesson 4-5, 13-16, 21 Use the Commutative, Associative, and Distributive Properties of Multiplication. Lesson 6 Calculate products with one-digit factors times 11 Lesson 9-10 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 11-12 Calculate products of one-digit factors or two-digit factors times 10 Lesson 11-12 Whiteboard Tools: Times 10: multiplying two-digit numbers by 10 Lesson 17-20 Calculate products with two-digit factors times one-digit factors. Lesson 22 Calculate products with three-digit factors times two-digit factors Lesson 24-25 Calculate products with two-digit multiples of 10. Lesson 26-28, 30 Calculate products with two-digit factors times two-digit factors Do The Math: Division: A Lesson 1, 12-17, 19-26, 30 Calculate quotients with and without remainders for dividends up to 100 and divisors up to 10. Do The Math: Division: B Lesson 4-5, 8-9, 16, 27 Determine whether one number is divisible by another. Lesson 16 Calculate the quotients and remainders for one- and two-digit numbers divided by one-digit divisors. Lesson 17 Calculate the quotients for two-digit numbers that are divisible by 2. Lesson 19 Identify numbers divisible by 10. Lesson 20 Identify numbers divisible by 2, 5, and 10. Lesson 21-28, 30 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors. Do The Math: Division: C Lesson 1-3, 5 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors. Lesson 4 Multiply one-digit numbers by multiples of 10 from 10 to 100. Lesson 16-20 Calculate the quotients and remainder for three-digit dividends and one-digit divisors Lesson 21-22 Calculate the quotients and remainder for three-digit dividends and



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the divisor 10. Lesson 23-25 Calculate the quotients and remainders for three-digit dividends and divisors that are multiples of 10. Lesson 27 Calculate the quotients and remainders for three-digit dividends and the divisor 25. Lesson 28 Calculate the quotients and remainders for three-digit dividends and two-digit divisors Lesson 30 Calculate the quotients and remainders of problems involving three-digit dividends and one-digit and two-digit divisors.

6.A.2 Analyze patterns to determine the rule that enables accurate predictions of missing numbers, including the nth term, of arithmetic sequences (x1, x2, x3, xn).

6.A.3 Analyze the data presented in qualitative graphs in terms of position, time, change and rate of change.

Geometry 6.G.1 Represent one- and two-dimensional geometric figures in the Cartesian coordinate system.

Measurement 6.M.1 Use the relationship between customary and metric measurements to estimate measures given in one system to its measure in the other system.

6.M.2 Use attributes of polygons and formulas to determine perimeter and area.

6.M.3 Use the approximate value of Π to calculate the circumference and area of circles.

Statistics and Probability 6.S.1 Understand the relationships between experimental and theoretical probabilities for simple events.

6.S.2 Use strategies to identify sample spaces and probabilities.

6.S.3 Understand graphical displays of data in terms of



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shape, measures of center and variability.



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Number and Operations 7.N.1 Use proportional reasoning to find missing values in problems.

7.N.2 Apply an understanding of percent and percent change to estimate and solve problems, including percents greater than 100.

7.N.3 Use all four arithmetic operations to solve problems involving integers.

7.N.3.1 Use addition and subtraction of integers to solve problems.




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7.N.3.2 Use multiplication and Do The Math: Multiplication: A



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division of integers to solve problems.

Lesson 4-5, 10-11, 20, 22, 24-25 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 12 Write and solve multiplication problems. Lesson 18, 20, 25, 30 Calculate the product when one factor is 0 Lesson 26 Write and solve word problems that involve finding products. Lesson 28-29 Solve a problem involving equal groups. Do The Math: Multiplication: B Lesson 1-21, 23-25, 27-30 Calculate products with factors 0 through 12. Lesson 2, 5, 10 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 3-4, 6, 8-9, 21 Use the Commutative Property of Multiplication to solve problems. Lesson 6-9 Whiteboard Tools: Missing Product Chart: familiarity with products up to 12 x 12 Lesson 13, 20, 22-24 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 22-23, 25, 29-30 Recall products with factors 0 though 12. Do The Math: Multiplication: C Lesson 1,3 , 4, 7-28, 30 Recall products for facts through 12 x 12. Lesson 1, 7-8, 10 Calculate products with one-digit factors times two-digit factors. Lesson 2, 5, 15 Calculate products of two-digit factors times 10. Lesson 6 Calculate products with one-digit factors times 11 Lesson 9-10 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 11-12 Calculate products of one-digit factors or two-digit factors times 10 Lesson 11-12 Whiteboard Tools: Times 10: multiplying two-digit numbers by 10 Lesson 17-20 Calculate products with two-digit factors times one-digit factors. Lesson 22 Calculate products with three-digit factors times two-digit factors Lesson 24-25 Calculate products with two-digit multiples of 10. Lesson 26-28, 30 Calculate products with two-digit factors times two-digit factors



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Do The Math: Division: A Lesson 1, 12-17, 19-26, 30 Calculate quotients with and without remainders for dividends up to 100 and divisors up to 10. Lesson 11 Write and solve division word problems for grouping situations. Lesson 26-27 Write and solve division word problems for both sharing and grouping situations. Lesson 29-30 Solve division word problems for both sharing and grouping situations. Do The Math: Division: B Lesson 1-6, 21-28, 30 Use the inverse relationship between division and multiplication to solve problems Lesson 4-5, 8-9, 16, 27 Determine whether one number is divisible by another. Lesson 7, 10 Solve word problems or sharing situations. Lesson 16 Calculate the quotients and remainders for one- and two-digit numbers divided by one-digit divisors. Lesson 17 Calculate the quotients for two-digit numbers that are divisible by 2. Lesson 19 Identify numbers divisible by 10. Lesson 20 Identify numbers divisible by 2, 5, and 10. Lesson 21-28, 30 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors. Do The Math: Division: C Lesson 1-3, 5 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors. Lesson 4 Multiply one-digit numbers by multiples of 10 from 10 to 100. Lesson 8-15 Use the inverse relationship between division and multiplication to solve problems. Lesson 8-17, 21, 26- 27, 30 Solve problems for grouping situations. Lesson 16-20 Calculate the quotients and remainder for three-digit dividends and one-digit divisors Lesson 21-22 Calculate the quotients and remainder for three-digit dividends and the divisor 10. Lesson 23-25



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Calculate the quotients and remainders for three-digit dividends and divisors that are multiples of 10. Lesson 27 Calculate the quotients and remainders for three-digit dividends and the divisor 25. Lesson 28 Calculate the quotients and remainders for three-digit dividends and two-digit divisors Lesson 30 Calculate the quotients and remainders of problems involving three-digit dividends and one-digit and two-digit divisors.

Algebra 7.A.1 Apply mathematical operations and properties for integers and non-negative fractions and decimals to solve two-step equations and inequalities with integer or non-negative fraction and decimal solutions.

7.A.1.1 Use mathematical operations and properties to solve equations.

The opportunity to meet this objective is available. For example, see: Do The Math: Addition and Subtraction: A Lesson 1, 3, 6, 8-10, 13, 19, 23-25, 27-28, 30 Identify pairs of numbers with sums of 10. Lesson 1-5 Use the Commutative Property of Addition and the Associative Property of Addition to solve problems. Lesson 1-6 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10 Lesson 2, 5 Calculate the sum to 12 for any two addends. Lesson 4-5 Identify numbers with sums of 10. Lesson 5 Solve word problems with two or three addends with sums to 12. Lesson 6 Whiteboard Tools: Number Cards: find combinations with the sum of 10, find sums of 11 or 12, Lesson 7, 9-19 Calculate the sum to 19 for any two addends. Lesson 7-10, 12 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10, add numbers with sums of 19 Lesson 8, 10 Solve word problems with two addends with sums to 19. Lesson 11-14, 16, 18, 27 Write any two-digit number as tens and ones. Lesson 12



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Calculate the sum to 19 for more than two addends. Lesson 13, 15-16, 18-26 Solve word problems with two addends with sums to 99. Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally Lesson 17, 20, 25, 30 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Do The Math: Addition and Subtraction: B Lesson 1 Identify pairs of numbers with sums of 10 Lesson 1, 3-22, 24-28, 30 Calculate the difference between numbers up to 100. Lesson 2 Calculate the difference between numbers up to 10. Lesson 4-5, 8-10, 12, 15, 19-20, 25, 27 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Lesson 11, 13-15 Solve take-away word problems Lesson 16, 19-20 Write and solve comparing and take-away word problems. Lesson 17-18, 28, 30 Write and solve comparing word problems. Lesson 21-25 Write and solve part-part-whole problems Lesson 21-26 Identify pairs of numbers with sums of 100. Lesson 26 Solve comparing, take-away, and part-part-whole word problems Do The Math: Addition and Subtraction: C Lesson 1-5 Calculate sums with addends up to 10. Lesson 1-5 Use the Commutative Property of Addition and the Associative Property of Addition to solve problems. Lesson 6-8 Calculate sums of two-digit addends Lesson 9-10 Calculate sums of three-digit addends. Lesson 11-20 Calculate sums and differences of two- and three-digit numbers. Lesson 22 Calculate differences for 5-digit and 6-digit numbers that have been rounded to the nearest thousand. Lesson 23-25 Calculate sums and differences of numbers to 9,999 Lesson 23-25



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Solve addition and subtraction word problems with numbers to 9,999. Lesson 23-25 Solve addition and subtraction word problems with numbers to 9,999. Lesson 28-30 Solve subtraction word problems with numbers to 99,999. Lesson 28 Calculate differences of five-digit numbers that have been rounded to the nearest thousand Lesson 29-30 Calculate differences of six-digit numbers that have been rounded to the nearest thousand. Do The Math: Multiplication: A Lesson 4-5, 10-11, 20, 22, 24-25 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 18, 20, 25, 30 Calculate the product when one factor is 0 Do The Math: Multiplication: B Lesson 1-21, 23-25, 27-30 Calculate products with factors 0 through 12. Lesson 2, 5, 10 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 3-4, 6, 8-9, 21 Use the Commutative Property of Multiplication to solve problems. Lesson 3-4, 6-9, 12, 14-15, 17, 19, 21 Whiteboard Tools: Multiplication Chart: commutative property, show multiples of a number, find the products of two numbers Lesson 6-9 Whiteboard Tools: Missing Product Chart: familiarity with products up to 12 x 12 Lesson 13, 20, 22-24 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 22-23, 25, 29-30 Recall products with factors 0 though 12. Do The Math: Multiplication: C Lesson 1,3 , 4, 7-28, 30 Recall products for facts through 12 x 12. Lesson 1, 7-8, 10 Calculate products with one-digit factors times two-digit factors. Lesson 2, 5, 15 Calculate products of two-digit factors times 10. Lesson 3 Use the Commutative and Associative Properties of Multiplication. Lesson 4-5, 13-16, 21 Use the Commutative, Associative, and Distributive Properties of Multiplication. Lesson 6



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Calculate products with one-digit factors times 11 Lesson 9-10 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 11-12 Calculate products of one-digit factors or two-digit factors times 10 Lesson 11-12 Whiteboard Tools: Times 10: multiplying two-digit numbers by 10 Lesson 17-20 Calculate products with two-digit factors times one-digit factors. Lesson 22 Calculate products with three-digit factors times two-digit factors Lesson 24-25 Calculate products with two-digit multiples of 10. Lesson 26-28, 30 Calculate products with two-digit factors times two-digit factors Do The Math: Division: A Lesson 1, 12-17, 19-26, 30 Calculate quotients with and without remainders for dividends up to 100 and divisors up to 10. Do The Math: Division: B Lesson 4-5, 8-9, 16, 27 Determine whether one number is divisible by another. Lesson 16 Calculate the quotients and remainders for one- and two-digit numbers divided by one-digit divisors. Lesson 17 Calculate the quotients for two-digit numbers that are divisible by 2. Lesson 19 Identify numbers divisible by 10. Lesson 20 Identify numbers divisible by 2, 5, and 10. Lesson 21-28, 30 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors. Do The Math: Division: C Lesson 1-3, 5 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors. Lesson 4 Multiply one-digit numbers by multiples of 10 from 10 to 100. Lesson 16-20 Calculate the quotients and remainder for three-digit dividends and one-digit divisors Lesson 21-22 Calculate the quotients and remainder for three-digit dividends and the divisor 10. Lesson 23-25 Calculate the quotients and remainders for three-digit dividends and divisors that are multiples of 10.



April 2010


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Lesson 27 Calculate the quotients and remainders for three-digit dividends and the divisor 25. Lesson 28 Calculate the quotients and remainders for three-digit dividends and two-digit divisors Lesson 30 Calculate the quotients and remainders of problems involving three-digit dividends and one-digit and two-digit divisors.

7.A.2 Represent change in the relationship between two variables in arithmetic sequences.

7.A.3 Understand the rate of change to solve problems.

Geometry 7.G.1 Understand similar and congruent figures.

7.G.2 Represent three-dimensional shapes using multiple perspectives.

Measurement 7.M.1 Use appropriate formulas and strategies to calculate the volume and surface area of cylinders and prisms.

7.M.2 Apply scale factors to solve problems.

Statistics and Probability 7.S.1 Understand the relationships between experimental and the theoretical probabilities of compound, independent events for varying sample sizes.

7.S.2 Interpret data using box plots.

7.S.3 Analyze graphical displays of two distributions of data in terms of their shape, measures of center and variability.



April 2010


Do The Math

Number and Operations 8.N.1 Apply combinations of addition, subtraction, multiplication, and division to solve multi-step problems with all rational numbers.

8.N.1.1 Use all four operations for all rational numbers, including formal algorithms.

Do The Math: Addition and Subtraction: A Lesson 1, 3, 6, 8-10, 13, 19, 23-25, 27-28, 30 Identify pairs of numbers with sums of 10. Lesson 1-6 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10 Lesson 2, 5 Calculate the sum to 12 for any two addends. Lesson 4-5 Identify numbers with sums of 10. Lesson 5 Solve word problems with two or three addends with sums to 12. Lesson 6 Whiteboard Tools: Number Cards: find combinations with the sum of 10, find sums of 11 or 12, Lesson 7, 9-19 Calculate the sum to 19 for any two addends. Lesson 7-10, 12 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10, add numbers with sums of 19 Lesson 8, 10 Solve word problems with two addends with sums to 19. Lesson 11-14, 16, 18, 27 Write any two-digit number as tens and ones. Lesson 12 Calculate the sum to 19 for more than two addends. Lesson 13, 15-16, 18-26 Solve word problems with two addends with sums to 99. Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally Lesson 17, 20, 25, 30 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Do The Math: Addition and Subtraction: B Lesson 1 Identify pairs of numbers with sums of 10 Lesson 1, 3-22, 24-28, 30 Calculate the difference between numbers up to 100. Lesson 2 Calculate the difference between numbers up to 10. Lesson 4-5, 8-10, 12, 15, 19-20, 25, 27 Whiteboard Tools: Number Cubes: create digits for two- or three-



April 2010


Do The Math

digit numbers, practice adding and subtracting Lesson 11, 13-15 Solve take-away word problems Lesson 16, 19-20 Write and solve comparing and take-away word problems. Lesson 17-18, 28, 30 Write and solve comparing word problems. Lesson 21-25 Write and solve part-part-whole problems Lesson 21-26 Identify pairs of numbers with sums of 100. Lesson 26 Solve comparing, take-away, and part-part-whole word problems Do The Math: Addition and Subtraction: C Lesson 1-5 Calculate sums with addends up to 10. Lesson 1-5 Use the Commutative Property of Addition and the Associative Property of Addition to solve problems. Lesson 6-8 Calculate sums of two-digit addends Lesson 9-10 Calculate sums of three-digit addends. Lesson 11-20 Calculate sums and differences of two- and three-digit numbers. Lesson 22 Calculate differences for 5-digit and 6-digit numbers that have been rounded to the nearest thousand. Lesson 23-25 Calculate sums and differences of numbers to 9,999 Lesson 23-25 Solve addition and subtraction word problems with numbers to 9,999. Lesson 23-25 Solve addition and subtraction word problems with numbers to 9,999. Lesson 28-30 Solve subtraction word problems with numbers to 99,999. Lesson 28 Calculate differences of five-digit numbers that have been rounded to the nearest thousand Lesson 29-30 Calculate differences of six-digit numbers that have been rounded to the nearest thousand. Do The Math: Multiplication: A Lesson 4-5, 10-11, 20, 22, 24-25 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 12 Write and solve multiplication problems.



April 2010


Do The Math

Lesson 18, 20, 25, 30 Calculate the product when one factor is 0 Lesson 26 Write and solve word problems that involve finding products. Lesson 28-29 Solve a problem involving equal groups. Do The Math: Multiplication: B Lesson 1-21, 23-25, 27-30 Calculate products with factors 0 through 12. Lesson 2, 5, 10 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 3-4, 6, 8-9, 21 Use the Commutative Property of Multiplication to solve problems. Lesson 6-9 Whiteboard Tools: Missing Product Chart: familiarity with products up to 12 x 12 Lesson 13, 20, 22-24 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 22-23, 25, 29-30 Recall products with factors 0 though 12. Do The Math: Multiplication: C Lesson 1,3 , 4, 7-28, 30 Recall products for facts through 12 x 12. Lesson 1, 7-8, 10 Calculate products with one-digit factors times two-digit factors. Lesson 2, 5, 15 Calculate products of two-digit factors times 10. Lesson 6 Calculate products with one-digit factors times 11 Lesson 9-10 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 11-12 Calculate products of one-digit factors or two-digit factors times 10 Lesson 11-12 Whiteboard Tools: Times 10: multiplying two-digit numbers by 10 Lesson 17-20 Calculate products with two-digit factors times one-digit factors. Lesson 22 Calculate products with three-digit factors times two-digit factors Lesson 24-25 Calculate products with two-digit multiples of 10. Lesson 26-28, 30 Calculate products with two-digit factors times two-digit factors Do The Math: Division: A Lesson 1, 12-17, 19-26, 30 Calculate quotients with and without remainders for dividends up to 100 and divisors up to 10. Lesson 11



April 2010


Do The Math

Write and solve division word problems for grouping situations. Lesson 26-27 Write and solve division word problems for both sharing and grouping situations. Lesson 29-30 Solve division word problems for both sharing and grouping situations. Do The Math: Division: B Lesson 1-6, 21-28, 30 Use the inverse relationship between division and multiplication to solve problems Lesson 4-5, 8-9, 16, 27 Determine whether one number is divisible by another. Lesson 7, 10 Solve word problems or sharing situations. Lesson 16 Calculate the quotients and remainders for one- and two-digit numbers divided by one-digit divisors. Lesson 17 Calculate the quotients for two-digit numbers that are divisible by 2. Lesson 19 Identify numbers divisible by 10. Lesson 20 Identify numbers divisible by 2, 5, and 10. Lesson 21-28, 30 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors. Do The Math: Division: C Lesson 1-3, 5 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors. Lesson 4 Multiply one-digit numbers by multiples of 10 from 10 to 100. Lesson 8-15 Use the inverse relationship between division and multiplication to solve problems. Lesson 8-17, 21, 26- 27, 30 Solve problems for grouping situations. Lesson 16-20 Calculate the quotients and remainder for three-digit dividends and one-digit divisors Lesson 21-22 Calculate the quotients and remainder for three-digit dividends and the divisor 10. Lesson 23-25 Calculate the quotients and remainders for three-digit dividends and divisors that are multiples of 10. Lesson 27 Calculate the quotients and remainders for three-digit dividends and the divisor 25.



April 2010


Do The Math

Lesson 28 Calculate the quotients and remainders for three-digit dividends and two-digit divisors Lesson 30 Calculate the quotients and remainders of problems involving three-digit dividends and one-digit and two-digit divisors. Do The Math: Fractions: C Lesson 1 Add fractions with like denominators. Lesson 3-5, 7, 9-10, 18-20, 25, 30 Add and subtract fractions with unlike denominators. Lesson 11-17, 19-25 Whiteboard Tools: Compute & Compare: adding/subtracting fractions Lesson 11-13, 15, 26-28 Add fractions with like and unlike denominators. Lesson 16-17, 21 Add fractions with unlike denominators. Lesson 22 Subtract fractions with like and unlike denominators from mixed numbers. Lesson 23-24 Subtract fractions with unlike denominators.

8.N.2 Understand the structure of the Real number system.

Algebra 8.A.1 Use the combining of like terms and the distributive property to write equivalent expressions.

8.A.1.1 Use area models to illustrate the distributive property.

Do The Math: Multiplication: B Lesson 3-4, 7-9, 16-17, 19, 27-28 Whiteboard Tools: Drawing Tool: combining equal groups, show Distributive Property geometrically Do The Math: Multiplication: C Lesson 1, 6 Whiteboard Tools: Drawing Tool: combining equal groups, show Distributive Property geometrically. Lesson 1, 6-8, 10, 17-20, 22-28, 30 Use the Distributive Property of Multiplication. Lesson 4-5, 13-16, 21 Use the Commutative, Associative, and Distributive Properties of Multiplication.

8.A.2 Apply mathematical operations and properties to solve inequalities and equations, including variables on both sides.

8.A.2.1 Use mathematical operations and properties to solve

The opportunity to meet this objective is available. For example, see:



April 2010


Do The Math

equations. Do The Math: Addition and Subtraction: A Lesson 1, 3, 6, 8-10, 13, 19, 23-25, 27-28, 30 Identify pairs of numbers with sums of 10. Lesson 1-5 Use the Commutative Property of Addition and the Associative Property of Addition to solve problems. Lesson 1-6 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10 Lesson 2, 5 Calculate the sum to 12 for any two addends. Lesson 4-5 Identify numbers with sums of 10. Lesson 5 Solve word problems with two or three addends with sums to 12. Lesson 6 Whiteboard Tools: Number Cards: find combinations with the sum of 10, find sums of 11 or 12, Lesson 7, 9-19 Calculate the sum to 19 for any two addends. Lesson 7-10, 12 Whiteboard Tools: Ten-Frame: builds place-value concepts, adding one-digit numbers, pairs with sums of 10, add numbers with sums of 19 Lesson 8, 10 Solve word problems with two addends with sums to 19. Lesson 11-14, 16, 18, 27 Write any two-digit number as tens and ones. Lesson 12 Calculate the sum to 19 for more than two addends. Lesson 13, 15-16, 18-26 Solve word problems with two addends with sums to 99. Lesson 14-24 Whiteboard Tools: Hundred-Pocket Chart: reinforce place value and number sense, adding one- and two-digit numbers, add numbers mentally Lesson 17, 20, 25, 30 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Do The Math: Addition and Subtraction: B Lesson 1 Identify pairs of numbers with sums of 10 Lesson 1, 3-22, 24-28, 30 Calculate the difference between numbers up to 100. Lesson 2 Calculate the difference between numbers up to 10. Lesson 4-5, 8-10, 12, 15, 19-20, 25, 27 Whiteboard Tools: Number Cubes: create digits for two- or three-digit numbers, practice adding and subtracting Lesson 11, 13-15 Solve take-away word problems



April 2010


Do The Math

Lesson 16, 19-20 Write and solve comparing and take-away word problems. Lesson 17-18, 28, 30 Write and solve comparing word problems. Lesson 21-25 Write and solve part-part-whole problems Lesson 21-26 Identify pairs of numbers with sums of 100. Lesson 26 Solve comparing, take-away, and part-part-whole word problems Do The Math: Addition and Subtraction: C Lesson 1-5 Calculate sums with addends up to 10. Lesson 1-5 Use the Commutative Property of Addition and the Associative Property of Addition to solve problems. Lesson 6-8 Calculate sums of two-digit addends Lesson 9-10 Calculate sums of three-digit addends. Lesson 11-20 Calculate sums and differences of two- and three-digit numbers. Lesson 22 Calculate differences for 5-digit and 6-digit numbers that have been rounded to the nearest thousand. Lesson 23-25 Calculate sums and differences of numbers to 9,999 Lesson 23-25 Solve addition and subtraction word problems with numbers to 9,999. Lesson 23-25 Solve addition and subtraction word problems with numbers to 9,999. Lesson 28-30 Solve subtraction word problems with numbers to 99,999. Lesson 28 Calculate differences of five-digit numbers that have been rounded to the nearest thousand Lesson 29-30 Calculate differences of six-digit numbers that have been rounded to the nearest thousand. Do The Math: Multiplication: A Lesson 4-5, 10-11, 20, 22, 24-25 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 18, 20, 25, 30 Calculate the product when one factor is 0 Do The Math: Multiplication: B Lesson 1-21, 23-25, 27-30



April 2010


Do The Math

Calculate products with factors 0 through 12. Lesson 2, 5, 10 Whiteboard Tools: Capture Cards: commutative property, multiplication facts through 6 x 6, grouping Lesson 3-4, 6, 8-9, 21 Use the Commutative Property of Multiplication to solve problems. Lesson 3-4, 6-9, 12, 14-15, 17, 19, 21 Whiteboard Tools: Multiplication Chart: commutative property, show multiples of a number, find the products of two numbers Lesson 6-9 Whiteboard Tools: Missing Product Chart: familiarity with products up to 12 x 12 Lesson 13, 20, 22-24 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 22-23, 25, 29-30 Recall products with factors 0 though 12. Do The Math: Multiplication: C Lesson 1,3 , 4, 7-28, 30 Recall products for facts through 12 x 12. Lesson 1, 7-8, 10 Calculate products with one-digit factors times two-digit factors. Lesson 2, 5, 15 Calculate products of two-digit factors times 10. Lesson 3 Use the Commutative and Associative Properties of Multiplication. Lesson 4-5, 13-16, 21 Use the Commutative, Associative, and Distributive Properties of Multiplication. Lesson 6 Calculate products with one-digit factors times 11 Lesson 9-10 Whiteboard Tools: Pathways: facts from 3 x 3 to 12 x 12 Lesson 11-12 Calculate products of one-digit factors or two-digit factors times 10 Lesson 11-12 Whiteboard Tools: Times 10: multiplying two-digit numbers by 10 Lesson 17-20 Calculate products with two-digit factors times one-digit factors. Lesson 22 Calculate products with three-digit factors times two-digit factors Lesson 24-25 Calculate products with two-digit multiples of 10. Lesson 26-28, 30 Calculate products with two-digit factors times two-digit factors Do The Math: Division: A Lesson 1, 12-17, 19-26, 30 Calculate quotients with and without remainders for dividends up to 100 and divisors up to 10. Do The Math: Division: B Lesson 4-5, 8-9, 16, 27



April 2010


Do The Math

Determine whether one number is divisible by another. Lesson 16 Calculate the quotients and remainders for one- and two-digit numbers divided by one-digit divisors. Lesson 17 Calculate the quotients for two-digit numbers that are divisible by 2. Lesson 19 Identify numbers divisible by 10. Lesson 20 Identify numbers divisible by 2, 5, and 10. Lesson 21-28, 30 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors. Do The Math: Division: C Lesson 1-3, 5 Calculate the quotients and remainders for one- and two-digit dividends and one-digit divisors. Lesson 4 Multiply one-digit numbers by multiples of 10 from 10 to 100. Lesson 16-20 Calculate the quotients and remainder for three-digit dividends and one-digit divisors Lesson 21-22 Calculate the quotients and remainder for three-digit dividends and the divisor 10. Lesson 23-25 Calculate the quotients and remainders for three-digit dividends and divisors that are multiples of 10. Lesson 27 Calculate the quotients and remainders for three-digit dividends and the divisor 25. Lesson 28 Calculate the quotients and remainders for three-digit dividends and two-digit divisors Lesson 30 Calculate the quotients and remainders of problems involving three-digit dividends and one-digit and two-digit divisors.

8.A.3 Understand the use of linear relationships in slope-intercept form to solve relevant problems.

8.A.4 Interpret the meaning and value of slope of linear relationships.

8.A.5 Use the Cartesian coordinate system to solve problems involving a linear inequality.

Geometry 8.G.1 Understand square roots



April 2010


Do The Math

and cube roots. 8.G.2 Apply the Pythagorean Theorem and its converse to solve relevant problems.

8.G.3 Apply properties of angle relationships to solve problems.

8.G.4 Understand rotations of points and two-dimensional geometric shapes about the origin in the Cartesian coordinate system.

Measurement 8.M.1 Explain the effect of one or more changes in dimensions on perimeter, area, volume and surface area of two-dimensional and three-dimensional figures (prisms and cylinders).

Statistics and Probability 8.S.1 Calculate the probabilities of dependent and independent events.

8.S.2 Use scatterplots to summarize bivariate data.

8.S.3 Understand misuse and distortion of data, statistical measures and graphical displays.

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