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6

Number and Operations in Base Ten

3

Comparing and

Ordering Numbers Objective

Comparing and ordering numbers requires a deep understanding of place

value, which students will develop with sufficient work with multiple Compare and order one- through

representations of numbers, including numbers in standard notation four-digit numbers using <>

expanded notation, word form, Base Ten Blocks representation, and on a and =,

number line. In order to compare and order numbers, students also will need

including <, to understand symbols used in comparing

Common Core

State Standards

Try lt! Perform the next page. 1 4.NBT.2 Read and write multi

digit whole numbers using base-

ten numerals, number names,

and expanded form. Compare Talk About It two multi-digit numbers based

on meanings of the digits in

Discuss the Try It! activity each place, using > and <

symbols to record the results

Write the numbers 1,394 and 1,439 on the board. Ask: Which number is of comparisons

larger? How can you tell?

Ask: If you were to order the numbers 1,394 and 1,439 from largest to

smallest, which number would come first?

Write 1,394< 1,439. Ask: Can you write another statement about these

numbers using the > sign? Can you write a statement using the = sign?

Solve It

With students, reread the problem. Ask students to write a number sentence

using < and > to compare the numbers. Then have students explain in writing

which grade collected more cans

More Ideas

For other ways to teach about comparing and ordering numbers-

Have students work in pairs to play a game using Base Ten Blocks. One

partner should come up with two numbers to compare. The other partner

should compare the numbers using the correct sign (> or <). Students

then model both numbers using blocks to see if the comparison was right.

Set up a learning center with Base Ten Blocks and have pairs take turns using

them. Have students model a number with the blocks and challenge their

partners to model a number that is less than or greater than it

Formative Assessment

Have students try the following problem

Which is the correct symbol to fill in the box?

8,863 8,683

46

A. < B. > C.

Try It! 20 minutes I Groups of 6

Here is a problem about comparing and ordering numbers

In one month, the third grade collected 1, 378 cans for the school's recycling

program. The fourth grade collected 1, 783 cans in the same month. Which

grade collected more cans in a month?

Introduce the problem. Then have students do the Materials

activity to solve the problem. Distribute Base Ten Base Ten Blocks (1 cube, 10 flats

10 rods, and 10 units per group) Blocks, a Place-Value Chart (BLM 5), paper, and

Place-Value Chart (BLM 5; 1 per student) pencils to students. Introduce the <, >, and = signs to

paper (1 sheet per student) students, explain their meanings, and demonstrate

pencils (1 per student) their use by comparing one- two-, three-, and four-

digit numbers

2. Say: The second number is 1,783. Have 1. Say: We are going to compare two numbers

students model the number with blocks and to find which is larger. Our first number is 1,378.

then draw a picture of the blocks they used Have students use blocks to model 1,378. Then

on the Place-Value Chart. ask them to draw the blocks they used in the

appropriate columns of the Place-Value Chart.

A Look Out

Watch for students who succeed with the 05

00

Place- -Value Chart but don't create the numbers 00D

correctly using the blocks. For example, a

student may create the number 23 using 1 rod 103

and 13 units. Assist students by helping them 578

see that 10 units equal 1 rod. This will help

them with their number sense

3. Have students write the numbers 1 378

and 1,783 side by side. Say: Compare your

drawings. Start at the thousands and move

to the right until the drawings are different.

Ask: How are they different? Instruct students

to place the appropriate symbol between

the numbers

Answer Key 3

Number and Operations in Base Ten

Use Base Ten Blocks to build each number. Write an inequality

using < or > that compares the numbers (Check students' work.)

XX X XX

X

XX XX

XXX

() 1,337 1,258

2

466 556

Use Base Ten Blocks to build the numbers. Sketch the models in a Place

Value Chart. Complete the inequality. (Check students' models.)

3. 7,479 and 7,794

Thousands Hundreds Tens Ones

)

7,479 7,794

Use <, =, or > to complete each inequality

6,004 5. 1,087 ( ) 1,078 )5,643

3

7. 3,181 ( )2,081 9. 9,104 (- ) 9,140 <

48 Hands-On Standards, Common Core Edition Download student pages at hand2mind.com/hosstudent

Answer Key

Challenge! Explain why when comparing two numbers, you

work from left to right. Draw a picture to help

Challenge: (Sample) You must compare from left to right because the greater

place values are on the left.

N

0 Download student pages at hand2mind.com/hosstudent. Hands-On Standards, Common Core Edition 49

BLM

5

Name

)

t

S

S

O

152 BLM 5 Place-Value Chart

Download student pages at hand2mind com/hostudent.