Topic 1EnVision Math

Numeration- (Place Value)

Extend the understanding of place value through millions

and millionths in various contexts and representations.

GLE 506.2.1

Unit Objective:

*Start at the back of the math spiral forthese problems.

Label paperLabel paper:POD 1-1 (date)(show your work/write your answer here)________________Then draw a line Under today’s Answer(s) and you’llWrite tomorrow’s Answers underneath

*Start at the back of the math spiral forthese problems.

Label paperLabel paper:POD 1-1 (date)(show your work/write your answer here)________________Then draw a line Under today’s Answer(s) and you’llWrite tomorrow’s Answers underneath

875,203,052875,203,052

Place ValueNumber Sense and Theory

Lesson Objective: Read and write numbers from millions to millionths

in various contexts. (spi 506.2.1)

Here are the different ways to write a number:

• Standard Form: 529 uses only digits• Short Word Form: 5 hundred 29 uses digits and words• Word Form: five hundred twenty-nine uses only words• Expanded Form: 500 + 20 + 9 uses digits to show the value of each

place

Place Value

Read and Write numbers from millions millionths

Word Form:

1,045 one thousand forty-five

six hundred two

602

Place Value cont.

• Write numbers in e x p a n d e d form:

6,097,133 6,000,000 + 90,000 + 7,000 + 100 + 30 + 3

5,014 =

5,000 + 10 + 4

Place Value cont.

Short Word Form

83,903 = 83 thousand, 903

7, 062= 7 thousand, 62

Why is there not a 0 in this answer?

Place Value

• Identify the place value of a given digit:

What place is the 2 in each of these #s ?

6,200,799

484,102

25,361,969

125,007

528

Place Value

• Identify the place value of a given digit:

What place is the 2 in each of these #s ?

6,200,799 hundred thousands

484,102 ones

25,361,969 ten millions

125,007 ten thousands

528 tens

Day 2 of lesson-

Label Paper:Label Paper:Daily Spiral 1-2 (date)

Day 2 of lesson-

Label Paper:Label Paper:Daily Spiral 1-2 (date)

Comparing and Ordering Whole

NumbersLesson Objective:

Compare whole numbers using the symbols <, >, and =. (spi 506.2.9)

Comparing Numbers

Step 1: Write the numbers in a vertical list. Line up the numbers by place value.

9,430,987

9,428,987

Compare 9,430,987 and 9,428,987

Comparing NumbersStep 1: Write the numbers in a vertical list. Line up the

numbers by place value.

9,430,987

9,428,987Step 2: If the numbers have the same number of digits,

start from the left and compare digits one at a time.

**Notice the different digits in the ten thousands place. Since 3 is greater than 2….

9,430,987 > 9,428,987

greater than

Comparing Numbers

Practice

1)83,204 87,204

2) 1,322 1,332

3) 5,671 5,671

Comparing Numbers

Practice

1)83,204 87,204

2) 1,322 1,332

3) 5,671 5,671

<

<

=

Ordering Numbers

Step 1: Write the numbers in a vertical list. Line up the numbers by place value

19,475

18,338

18,358

Order 19,475; 18,338; and 18,358 from greatest to least

Ordering Numbers

Step 1: Write the numbers in a vertical list. Line up the numbers by place value

Step 2: Start from the left

and compare each digit

Order 19,475, 18,338, and 18,358 from greatest to least

19,475 18,338 18,358

Ordering Numbers

Step 1: Write the numbers in a vertical list. Line up the numbers by place value

Step 2: Start from the left

and compare each digit

Order 19,475, 18,338, and 18,358 from greatest to least

19,475 18,338 18,358

From greatest to least:19,475 > 18,358 > 18,338

Label paper: POD 1-3 (date)**Write answers in a complete sentence.

Label paper: POD 1-3 (date)**Write answers in a complete sentence.

Cream of celery and turkey vegetable need to be restocked.

Sample answer…sentences may vary.

Place Valuewith decimals through millionths

Lesson Objective:

Read and write numbers from millions to millionths in various contexts.

(spi 506.2.1)

Starting with the ones place, let’s name the places together, in order, from ones to millions:

onestenshundredsthousandsten thousandshundred thousandsmillions

onestenshundredsthousandsten thousandshundred thousandsmillions

Starting at the decimal point,the places are named in the same order except:• there is not a “ones” place• all names end in “ths” to signify that it is a decimal

(.) decimaltenthshundredthsthousandthsten thousandthshundred thousandthsmillionths

Practice (whole group…on screen)

1.http://www.thatquiz.org/tq/practice.html?placevalue (orally—with volunteers)

2. Write each number in standard form. (on a sheet of paper or in back of spiral under today’s POD)

a) 83 thousand 903

b) (9 x 10,000) + (8 x 1,000) + (3 x 100) + (4 x 10) c) four hundred eighty-nine thousand, three hundred forty-one d) (5 x 100,000) + (3 x 1,000) + (7 x 10) e) 48 thousand 16 f) two hundred eight g) sixty-five billion, two million, fourteen thousand, threeAnswers to a-g are on the next slide….

Practice Answers

2. Write each number in standard form. a) 83,903

b) 98,340 c) 489,341 d) 503,070 e) 48,016 f) 208 g) 65,002,014,003

Stop here…save rest of decimal placevalue for tomorrow.

Reminder~

• Use your place value chart (in your spiral notebook) to help you with today’s math problems.

How to read and write decimals:

Write the following number in word form:

40.318

Step 1:Write the word namefor the #s to the left of or before the decimal point.

forty

Step 2 :Write the word “and” and the word name for the #s to the right of the decimal point.

forty and three hundred eighteen

Step 3:Write the place value nameof the final digit after thedecimal point.

forty and three hundred eighteen thousandths

Practice: try to write the following in word form.

1) 7.4005

2) 0.28067

Check your answers

Practice: try to write the following in word form.

1) 7.4005

seven and four thousand five ten thousandths

2) 0.28067

twenty-eight thousand sixty-seven hundred thousandths

0 . 7 2 0

th h t o . t h th

3 8 5

10

th100

th m

How would you write this # in word form?

0 . 7 2 0

th h t o . t h th

3 8 5

10

th100

th m

Seven hundred twenty thousand, three hundred eighty-five millionths

.

th h t o . t h th 10

th100

th m

What place is the 4 in ? 0. 00548

0 . 0 0 5

th h t o . t h th

4 8

10

th100

th m

What place is the 4 in ? 0. 00548

What number is in the hundred thousandths place?

8.097136

What number is in the hundred thousandths place?

8.097136

Try to write the following number in standard form:

Four and twenty-nine millionths

** Remember: when writing a decimal in standard form, start by placing the decimals in the correct place and then work backwards. Use your chart in your spiral notebook to help you write this number.

4.000029the nine is in the millionths place

Four and twenty-nine millionths

4 . 0 0 0

th h t o . t h

4.000029

th

0 2 9

10

th100

th m

Use your chart in your spiral if you need to….

Mon., Aug. 22

ThousandthsOnesHundredshundredths

Now, try some more practice

http://www.thatquiz.org/tq/practice.html?placevalue

Note to teacher: Change the level to 6 and change the answers to just decimals.Have the students practice these questions out loud.

Comparing and Ordering Decimal

NumbersLesson Objective:

Compare decimal numbers using the symbols <, >, and =. (spi 506.2.9)

Look at the steps on pg. 12

Watch Lesson (1-04) video

Practice: Center Activity (1-4) whole group

(on next slide)

Individual Practice: WB 25 or WB 26

Center 1-4Do as whole group

MORE DECIMAL PRACTICE

Putting Decimals in Order

http://www.ixl.com/math/grade-5/put-decimal-numbers-in-order

Comparing Decimal Numbers

http://www.ixl.com/math/grade-5/compare-decimal-numbers