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Objective

Common Core State Standards

■ 4.NBT.2

2Number and Operations in Base Ten

Writing Numbers in Different FormsIn order for students to work flexibly with numbers, they need to understand different representations of numbers, including standard form, expanded form, and word form. Understanding multiple representations of numbers sets the stage for multiplication and division of numbers as well as understanding and comparing fractions and decimals.

Talk About ItDiscuss the Try It! activity.

■ Ask: How did you show 1,342 using Base Ten Blocks? Have students describe the blocks they used.

■ Ask: How did you write 1,342 in standard notation? How did you write it in expanded notation? Have students compare their Number Forms Recording Sheet (BLM 4).

■ Ask: How did you know how to separate the different parts of 1,342 when you wrote it in expanded form? Discuss with students how they separated the number into thousands, hundreds, tens, and ones.

Solve ItWith students, reread the problem. Have students explain in writing the four ways that Mr. Mancetti’s students could represent the number 1,342. Say: The next day, a group had to represent the number 2,511 four ways. Have students complete a new copy of the Number Forms Recording Sheet for 2,511.

More IdeasFor other ways to teach about modeling and writing numbers—

■ Establish a learning center with Base Ten Blocks. Have students take turns working at the center in pairs to play a game with blocks. One student will say a four-digit number. Then the other student builds the number with blocks.

■ Use Cuisenaire® Rods to model different numbers, and have students write the numbers in the three different forms.

Formative AssessmentHave students try the following problem.

Which shows the word form of 5,892?

A . Five thousand, eight hundred ninety

B . Five thousand, eight hundred two

C . Five thousand, eight hundred ninety-two

D . Five hundred, nine hundred eighty-two

Number and Operations in Base Ten

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Materials• Base Ten Blocks (1 cube, 10 flats,

10 rods, and 10 units per group)• Number Forms Recording Sheet

(BLM 4; 1 per student)• paper (1 sheet per student)• pencils (1 per student)

Try It! 30 minutes | Groups of 6

Here is a problem about modeling, reading, and writing one- through four-digit numbers in various forms.

Mr. Mancetti’s class is putting on math skits to represent a number every day.

Each group of students has to represent a number in at least four different

ways. Today it is time for a group to represent the number 1,342. How could

the group represent the number in four ways?

Introduce the problem. Then have students do the activity to solve the problem. Distribute Base Ten Blocks, a Number Forms Recording Sheet (BLM 4), paper, and pencils to students. Introduce and define the terms standard notation, expanded notation, and word form, and give students examples of the three number forms for one-, two-, three-, and four-digit numbers.

1. Ask groups to use blocks to show 1,342. Then have students draw the blocks used to model the number and write the number in standard form on their recording sheets.

3. Remind students that they also can write out numbers by using words. Ask groups to write 1,342 in word form on their recording sheets.

2. Review expanded notation with students. Then ask students to write 1,342 on their recording sheets in expanded notation. Tell students that they can look at their blocks to help them.

Watch for students who insert and into their word form for a whole number, such as “one thousand, three hundred, and forty-two.” Remind students that and is used for a portion (decimal) of a number.

Name Number and Operations in Base TenLesson

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Hands-On Standards, Common Core Edition

2

1.

______ + ______ + _____ + _____

______________

2.

______ + ______ + _____ + _____

______________

Build the number using Base Ten Blocks. Then sketch the model for the number. Write the number in standard form.

Write each number in the forms named.

Use Base Ten Blocks to build each number. Write the number in expanded form and standard form.

3. six thousand, three hundred twenty-one

__________________

4. 3,805 expanded form _________ + _________ + _________ + _________

word form _______________________________________________

5. 9,268 expanded form _________ + _________ + _________ + _________

word form _______________________________________________

6. one thousand, seven hundred fifty-three

expanded form _________ + _________ + _________ + _________

standard form __________________

Answer Key

Download student pages at hand2mind.com/hosstudent.

(Check students’ work.)

1,000 1,000200 0

1,235 1,078

30 705 8

6,321

3,000

9,000

1,000

800

200

700

0

60

50

5

8

3

three thousand, eight hundred five

nine thousand, two hundred sixty-eight

1,753

(Check students’ models.)

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Hands-On Standards, Common Core Edition

Challenge! Explain why you write a 0 in a place value while changing a number given as words into a number written in standard form. Draw a model to help.

Answer Key

Download student pages at hand2mind.com/hosstudent.

Challenge: (Sample) When the word form of a number does not include a word for each place, one of the place values will have a 0 in it. An example: if the number is greater than one thousand and the word hundred is missing, then there is a 0 in the hundreds place when the number is written in standard form.

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Hands-On Standards, Common Core Edition

2

1.

______ + ______ + _____ + _____

______________

2.

______ + ______ + _____ + _____

______________

Build the number using Base Ten Blocks. Then sketch the model for the number. Write the number in standard form.

Write each number in the forms named.

Use Base Ten Blocks to build each number. Write the number in expanded form and standard form.

3. six thousand, three hundred twenty-one

__________________

4. 3,805 expanded form _________ + _________ + _________ + _________

word form _______________________________________________

5. 9,268 expanded form _________ + _________ + _________ + _________

word form _______________________________________________

6. one thousand, seven hundred fifty-three

expanded form _________ + _________ + _________ + _________

standard form __________________

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Hands-On Standards, Common Core Editionwww.hand2mind.com

Challenge! Explain why you write a 0 in a place value while changing a number given as words into a number written in standard form. Draw a model to help.

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BLM

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BLM 4 Number Forms Recording Sheet

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