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  • E n g l i s h L a n g u a g e A r t sMathematics

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    Mathematics

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    4 common core

    Performance Coach

    4

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    n www.triumphlearning.com

    Phone: (800) 338-6519 • Fax: (866) 805-5723 • E-mail: [email protected]

    ISBN-13: 978-1-62362-806-2

    9 7 8 1 6 2 3 6 2 8 0 6 2

    9 0 0 0 0

    311NASE

    Did you know that the deepest dive ever recorded for a bottlenose dolphin was 300 meters? You may not be able to dive almost 1,000 feet, but Performance Coach will help you do your best on your tests this year!

    common core

    Performance Coach

    4

    Performance Coach

    311NASE_G4_MATH_SE_cvr.indd 1 2/14/14 10:42 AM

    Sample Lesson

    To order, call 800-338-6519 or visit www.triumphlearning.com.

  • CONTENTS

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    Standards

    Letter to the Student . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . iv

    Domain 1: operationS anD aLgebraic thinking . . . . 5 Lesson 1 Multiplication Equations . . . . . . . . . . . . . . . . . . . . . . . 6 4.OA.1

    Lesson 2 Solving Problems with Multiplication and Division . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 4.OA.2

    Lesson 3 Multi-Step Word Problems . . . . . . . . . . . . . . . . . . . . 24 4.OA.3

    Lesson 4 Interpreting Remainders in Word Problems . . . . . . 32 4.OA.3

    Lesson 5 Factors and Multiples . . . . . . . . . . . . . . . . . . . . . . . . 40 4.OA.4

    Lesson 6 Number and Shape Patterns. . . . . . . . . . . . . . . . . . . 50 4.OA.5

    Domain 1 review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62

    performance task . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67

    Domain 2: number anD operationS in baSe ten . . . 69 Lesson 7 Understanding Place Value for

    Whole Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70 4.NBT.1, 4.NBT.2

    Lesson 8 Comparing Whole Numbers . . . . . . . . . . . . . . . . . . 78 4.NBT.2

    Lesson 9 Rounding Whole Numbers . . . . . . . . . . . . . . . . . . . . 86 4.NBT.3

    Lesson 10 Adding and Subtracting Whole Numbers. . . . . . . . 94 4.NBT.4

    Lesson 11 Multiplying Whole Numbers . . . . . . . . . . . . . . . . . 103 4.NBT.5

    Lesson 12 Dividing Whole Numbers . . . . . . . . . . . . . . . . . . . . 113 4.NBT.6

    Domain 2 review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 124

    performance task . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129

    Domain 3: number anD operationS–FractionS . . 131 Lesson 13 Equivalent Fractions . . . . . . . . . . . . . . . . . . . . . . . . 132 4.NF.1

    Lesson 14 Comparing Fractions. . . . . . . . . . . . . . . . . . . . . . . . 140 4.NF.2

    Lesson 15 Adding and Subtracting Fractions . . . . . . . . . . . . . 150 4.NF.3.a

    Lesson 16 Decomposing Fractions and Mixed Numbers . . . 158 4.NF.3.b

    Lesson 17 Adding and Subtracting Mixed Numbers . . . . . . . 166 4.NF.3.c

    Lesson 18 Solving Problems with Fractions . . . . . . . . . . . . . . 175 4.NF.3.d

    Lesson 19 Multiplying a Whole Number by a Fraction . . . . . 183 4.NF.4.a, 4.NF.4.b

    Lesson 20 Solving Problems: Multiplying Whole Numbers by Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 191 4.NF.4.c

    311NASE_Mth_G4_D1_PDF Round.indd 2 03/02/14 10:17 PM

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        iii

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    Lesson 21 Adding Fractions with Denominators of 10 and 100. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 199 4.NF.5

    Lesson 22 Understanding Decimals. . . . . . . . . . . . . . . . . . . . . 206 4.NF.6

    Lesson 23 Comparing Decimals. . . . . . . . . . . . . . . . . . . . . . . . 214 4.NF.7

    Domain 3 review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 223

    performance task . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 228

    Domain 4: meaSurement anD Data . . . . . . . . . . . . . . . . 229 Lesson 24 Units of Measure . . . . . . . . . . . . . . . . . . . . . . . . . . . 230 4.MD.1

    Lesson 25 Converting Customary Units of Measure. . . . . . . . 240 4.MD.1

    Lesson 26 Converting Metric Units of Measure . . . . . . . . . . . 249 4.MD.1

    Lesson 27 Solving Measurement Problems . . . . . . . . . . . . . . 256 4.MD.2

    Lesson 28 Perimeter and Area . . . . . . . . . . . . . . . . . . . . . . . . . 265 4.MD.3

    Lesson 29 Line Plots. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 273 4.MD.4

    Lesson 30 Understanding Angles . . . . . . . . . . . . . . . . . . . . . . 283 4.MD.5.a, 4.MD.5.b

    Lesson 31 Measuring and Drawing Angles . . . . . . . . . . . . . . . 291 4.MD.6

    Lesson 32 Adding and Subtracting Angle Measures . . . . . . . 299 4.MD.7

    Domain 4 review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 307

    performance task . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 312

    Domain 5: geometry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 313 Lesson 33 Drawing Figures. . . . . . . . . . . . . . . . . . . . . . . . . . . . 314 4.G.1

    Lesson 34 Classifying Two-Dimensional Figures . . . . . . . . . . 325 4.G.2

    Lesson 35 Lines of Symmetry . . . . . . . . . . . . . . . . . . . . . . . . . . 333 4.G.3

    Domain 5 review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 344

    performance task . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 349

    glossary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 351

    math tools . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 359

    311NASE_Mth_G4_D1_PDF Round.indd 3 03/02/14 10:17 PM

  • Duplicating this page is prohibited by law. © 2015 Triumph Learning, LLC16  Domain 2: Number and Operations in Base Ten

    1   GETTING THE IDEA

    Materials

    • Math Tool: Whole Number Place- Value Chart, p. C7 (Student Edition, p. 369)

    • index cards

    Key Terms expanded form place value

    standard form word form

    Standards

    4.NBT.1, 4.NBT.2

    LESSON OVERVIEW

    Objectives Students will:

    • use a place-value chart to find the value of one digit in a multi-digit number.

    • recognize that each place value is 10 times greater than the place value to its right.

    • write a number name for a multi-digit number. • write the expanded form of a multi-digit number. Discussion Questions MP4 How do the standard, word, and expanded forms of a

    number compare?

    MP6 Why do we say the number 435 has the digit 4 in the hundreds place?

    MP8 What types of patterns can be found in a place-value chart?

    Lesson Opener  Say “one hundred twenty-five” out loud. Ask: What are some ways this number can be written? Students’ answers will give you an opportunity to assess their understanding of the concepts needed for them to move successfully into writing numbers in standard, word, and expanded form. Point out the expanded form of 36,215 in the student book. Ask:

    What pattern do you see when 36,215 is written in expanded form? (From right to left, the number of zeroes is increasing.) Use this as an opportunity to discuss the place-value chart and how it can help with understanding the value of each digit, as presented in this lesson. Be sure to point out the thousands and ones periods, and that each is made up of hundreds, tens, and ones places.

    LESSON 7

    Understanding Place Value   for Whole Numbers Student Edition pages 70–77

    Differentiation

    Lesson Support  With each problem, ask students to make their own place-value charts based on the one provided. Instruct students to indicate above each chart where the thousands and ones periods can be found.

    Lesson Extension On one side of an index card, have students make up a riddle similar to problem 10 in the Lesson Practice, using a 6-digit number. On the flip side of the card, have students write the 6-digit number. Let students solve each other’s riddles.

    cvirgil Math_TE_Grade4

  • Duplicating this page is prohibited by law. © 2015 Triumph Learning, LLC Lesson 7: Understanding Place Value for Whole Numbers  17

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