TOPIC 3PLACE VALUE

Review What You Know - Vocabulary

Choose the best term from the box.

1) A group of three digits in a number separated by a comma is a

___.

2) A ___ is a line that shows numbers in order using a scale.

3) The number 8 is an ___ number.

4) The number 3 is an ___ number.

odd evenperiod number line

Review What You Know – Comparing NumbersCompare each set of numbers using >, <, or =.

a) 13 ___ 10

b) 7 ___ 7

c) 43 ___ 34

d) 0 ___ 1

e) 52 ___ 52

Review What You Know – Place ValueTell if the underlined digit is in the ones, tens, or hundreds place.

a) 346

b) 17

c) 921

d) 1,006

e) 999

f) 1,405

Lesson 3.1

Representing Numbers

Number Talk

• 5 – 15 minute session

• 20 – 15•20 – 14•20 – 9•20 – 8

Fact Fluency

Lesson 3.1 Learning Target

I can compare two multi-digit numbers

based on meanings of the digits in

each place, using <, >, or = symbols

to record the results of comparisons.Record and deconstruct standard in math notebook!

Lesson 3.1 Focus

What are some ways to represent

numbers in the thousands?

Lesson 3.1 Purpose

You know how to read and write numbers in

the thousands using standard form. Today,

you will learn how to read and write those

numbers in other ways.

Lesson 3.1 Connect

When have you seen or heard

about numbers in the

thousands?

Expanded Notation

Pose the Problem

•An airplane flies at an altitude of

1,358 feet. How can you represent

this number using the smallest

number of place-value blocks?

Academic Vocabulary

•Write 1,358 as the sum of the values of each

of its digits.

•Why do you think this form of a number is

called expanded form?

Extend

•What number is 2,000 more than

1,358?

•Write your answer in expanded form.

Visual Learning Animation

What is 2,000 + 300 + 70 + 8 written in standard form?

A.    2,378

B.    2,387

C.    2,738

D.    3,278

Carly drew the four cards shown below. What is the greatest possible number that can be made with the cards if each card is used only once?

A.    9,851

B.    9,815

C.    8,951

D.    1,589

What is 1,000 + 500 + 60 + 9 written in standard form?

A.    1,569

B.    1,596

C.    1,659

D.    5,169

Which digit is in the hundreds place in the number 4,385?

A.    8

B.    5

C.    4

D.    3

Which number has a seven in the tens place?

A.    2,367

B.    4,736

C.    5,673

D.    7,863

Practice Time

•Complete Practice page.

•Complete Enrichment page.

Formative Assessment

•Quick Check 3-1

•Thank you for your dedication!

You may now visit mobymax.com

to practice.

Lesson 3.2

Place Value

Relationships

Number Talk

• 5 – 15 minute session

• 50 – 44•50 – 39•50 – 29•50 – 24

Fact Fluency

Lesson 3.2 Learning Target

I can recognize that a multi-digit

whole number in the ones place

represents ten times what it

represents in the place to its right.Record and deconstruct standard in math notebook!

Lesson 3.2 Focus

How do the digits in a multi-digit

number relate to each other?

Lesson 3.2 Purpose

You know about representing numbers in the

place-value system and the names of each place.

Today, you are going to look more closely at those

places and see how they relate to each other.

Lesson 3.2 Connect

In the number 1,234, what is

the value of each of the digits?

Pose the Problem

•In the number 770, what is the

relationship between the value of

the first 7 and the value of the

second 7?

Pose the Problem

•In the number 3,300, what is the

relationship between the value of

the first 3 and the second 3?

Extend

•In the number 3,554, does having a 3 in the

thousands place and a 4 in the ones place

change the relationship between the value

of the two 5s?

Visual Learning Animation

Which of the following names the value of the 8s in 8,870?

A.    80 and 8

B.    800 and 8

C.    8,000 and 80

D.    8,000 and 800

Which of the following names the value of the 4s in 5,404?

A.    40 and 4

B.    400 and 40

C.    400 and 4

D.    4,000 and 400

In the number 5,332, how many times greater is the 3 in the hundreds place than the 3 in the tens place?

A.    three

B.    ten

C.    one hundred

D.    one thousand

Which of the following shows a number with digits having the value of 60 and 6?

A.    4066

B.    4660

C.    6640

D.    4606

What is the relationship between the values of the 4s in the number 4,438?

A.     One number value is 10 times greater than the other.

B.     One number value is 100 times greater than the other.

C.     One number value is 100 times greater than the other.

D.     One number value is 10,000 times greater than the other.

Practice Time

•Complete Practice page.

•Complete Enrichment page.

•Check all work with a partner.

Formative Assessment

•Quick Check 3-2

•Thank you for your dedication!

You may now visit mobymax.com

to practice.

Lesson 3.3

Comparing

Numbers

Number Talk

• 5 – 15 minute session

•100 – 89•100 – 69•100 – 49•100 - 37

Fact Fluency

Lesson 3.3 Learning Target

I can compare two multi-digit numbers

based on meanings of the digits in

each place, using <, >, or = symbols

to record the results of comparisons.Record and deconstruct standard in math notebook!

Lesson 3.3 Focus

How can place value help you

compare whole numbers?

Lesson 3.3 Purpose

You already know how to write a number in a

place-value chart, in expanded form, and in

word form. Today, you will learn how to

compare numbers by using place value.

Lesson 3.3 Connect

Suppose I have a group of 40

pens and a group of 60 pens. How

can I compare the number of

pens in each group?

Pose the Problem

•Suppose I have a group of 1,345

pens and a group of 1,380 pens.

How can you use place-value

blocks and a place-value chart to

find which group has more?

Academic Vocabulary

•When you compare numbers, you find out

which number is greater and which number

is less.

25, 26

•Which number is greater? How do you know?

Extend

•How can you use a place-value

chart to compare 32,473 and

32,375.

Visual Learning Animation

Which number makes the comparison true?

A.    380

B.    308

C.    38

D.    3,800

The driving distance from Daytona Beach to Orlando is 58 miles. The driving distance from Daytona Beach to St. Augustine is 65 miles. Which of these tells you that the distance from Daytona Beach to St. Augustine is greater than the distance from Daytona Beach to Orlando?

A.    58 > 65

B.    65 > 58

C.    65 < 58

D.    65 = 58

Which symbol makes the comparison true?

A.    +

B.    =

C.    <

D.    >

Which number makes the comparison true?

A.    7,800

B.    780

C.    708

D.    78

Which symbol makes the comparison true?

A.    >

B.    =

C.    +

D.    <

Practice Time

•Complete Practice page.

•Complete Enrichment page.

•Check all work with a partner.

Formative Assessment

•Quick Check 3-3

•Thank you for your dedication!

You may now visit mobymax.com

to practice.

Lesson 3.4

Ordering Numbers

Number Talk

• 5 – 15 minute session

• 50 – 29•55 – 29•55 – 48•55 - 37

Fact Fluency

Lesson 3.4 Learning Target

I can compare two multi-digit numbers

based on meanings of the digits in

each place, using <, >, or = symbols

to record the results of comparisons.Record and deconstruct standard in math notebook!

Lesson 3.4 Focus

How do you compare numbers?

Lesson 3.4 Purpose

You know how to compare and order 4-digit

numbers. Today, you will learn how to use a

number line to compare and order greater

numbers.

Lesson 3.4 Connect

When might you want to order

numbers?

Pose the Problem

•These are the depths of the Atlantic, Indian,

and Pacific Oceans. A robotic submarine can

dive to a depth of 26,000 feet below sea

level. Work with a partner to decide which

ocean(s) the sub can explore all the way to

the bottom.

Extend

•Work with 3 other scholars.

•Each scholar will write a number between 100,000

and 900,000 in their math notebook.

•Order the numbers from least to greatest by

making a human number line.

Visual Learning Animation

Order the numbers from least to greatest. 88,630 88,360 87,783

Which number does NOT come between 13,130 and 13,371?

A.    13,007

B.    13,172

C.    13,241

D.    13,349

Which number sentence is NOT true?A.    5,813 < 8,513

B.    5,813 < 5,831

C.    5,813 > 5,183

D.    5,813 < 5,318

The chart gives the number of books in some city libraries. Which library has more volumes, Baton Rouge or El Paso? What number sentence shows the comparison?

A.    El Paso; 1,232,185 < 1,277,003

B.    Baton Rouge; 1,232,185 < 1,277,003

C.    El Paso; 1,232,185 > 1,277,003

D.    Baton Rouge; 1,232,185 > 1,277,003

The chart gives the diameters of Earth and the five closest planets. Which of these statements is NOT true about the diameter of Mars?A.    It is less than the diameter of Venus.

B.    It is less than the diameter of Earth.

C.    It is less than the diameter of Saturn.

D.    It is greater than the diameter of Jupiter.

Practice Time

•Complete Practice page.

•Complete Enrichment page.

•Check all work with a partner.

Formative Assessment

•Quick Check 3-4

•Thank you for your dedication!

You may now visit mobymax.com

to practice.

Lesson 3.5

Rounding Whole

Numbers

Number Talk

• 5 – 15 minute session

• 35 – 10•35 – 13•35 – 20•35 – 22

Fact Fluency

Lesson 3.5 Learning Target

I can use place value understanding

to round multi-digit whole numbers

to any place.

Record and deconstruct standard in math notebook!

Lesson 3.5 Focus

How can you round numbers?

Lesson 3.5 Purpose

You have used place value to read

numbers. Today, you will learn to use

place value to round numbers.

Lesson 3.5 Connect

• What does it mean to round a

number?

• When might you want to round

a number?

Pose the Problem

•In your math notebook, list 5 numbers that

are greater than 300 and that round to 300.

•Then, list 5 numbers greater than 300 that

round to 400.

•Use a variety of digits. Below the lists, write

what you notice about the digits in the tens

place of the numbers.

Small-Group Interaction

•In your math notebook, list 5 numbers that are

greater than 6,000 and that round to 6,000.

•Then, list 5 numbers greater than 6,000 that

round to 7,000.

•Use a variety of digits. Below the lists, write what

you notice about the digits in the hundreds place

of the numbers.

Extend

•Based on your work for this

activity, write some rules for using

place value to round numbers.

Visual Learning Animation

Round 345,229 to the nearest thousand.A.    300,000

B.    340,000

C.    345,000

D.    346,000

Round 185,340 to the nearest ten-thousand.

A.    200,000

B.    190,000

C.    185,000

D.    180,000

Round 3,547,019 to the nearest million.

A.    2,000,000

B.    3,000,000

C.    3,500,000

D.    4,000,000

Round 683,492 to the nearest hundred thousand.

A.    700,000

B.    680,000

C.    683,000

D.    600,000

Round 7,340,208 to the nearest million.

A.    7,000,000

B.    8,000,000

C.    6,000,000

D.    7,400,000

Practice Time

•Complete Practice page.

•Complete Enrichment page.

•Check all work with a partner.

Formative Assessment

•Quick Check 3-5

•Thank you for your dedication!

You may now visit mobymax.com

to practice.

Lesson 3.6

Problem Solving: Make

An Organized List

Number Talk

• 5 – 15 minute session

• 53 – 40•53 – 42•56 – 30•56 – 34

Fact Fluency

Lesson 3.6 Learning Target

I can recognize that a multi-digit

whole number in the ones place

represents ten times what it

represents in the place to its right.

Record and deconstruct standard in math notebook!

Lesson 3.6 Focus

How can you use a list to find

possible combinations?

Lesson 3.6 Purpose

You know there are different ways to solve

word problems. Today, you are going to use

organized lists to solve word problems.

Lesson 3.6 Connect

• When have you made a list?

• Why did you make a list?

• What did you include on the list?

Pose the Problem

•Daryl has 5 shirts and 2 pairs of pants.

Name all the possible combinations of

shirts and pants he can wear together.

How many different outfits can he make?

Small-Group Interaction

•For lunch, Sarah can choose from 2

salads and 3 soups. How many different

combinations of soup and salad can she

have?

Extend

•There are 3 finalists in a skating

competition. In how many different ways

can they be scheduled to perform?

Visual Learning Animation

Ms. Jacobs is buying sandwich meats for her family. She can choose from turkey, salami, chicken, bologna, and ham. If she is going to purchase two different kinds of sandwich meats, how many different combinations does she have to choose from?

A.    15

B.    10C.    8

D.    5

Maria is shopping for an outfit to wear on the first day of school. For tops, she finds yellow, blue, red, white, and green shirts. For bottoms, she finds a skirt, a pair of brown pants, and a pair of blue jeans. How many different outfits are possible with the items Maria found?A.    8

B.    10C.    15

D.    20

The Lunch Stop is offering combination specials including a sandwich and a side order. The sandwiches choices are meatball, chicken, turkey, and tuna. The side orders include potato salad, an apple, or carrot sticks. How many different combination specials are possible?

A.    12

B.    7C.    18

D.    9

Samantha, Kelly, Jenni, and Melissa want to go on an amusement ride at the fair. How many different ways can they line up single file to go on the ride?

A.    4

B.    12C.    20

D.    24

Nick, John, Carlos, Steven, and Sean are swimming in a race. In how many different ways can these five boys come in first, second, and third?

A.    60

B.    30C.    20

D.    5

Practice Time

•Complete Practice page.

•Complete Enrichment page.

•Check all work with a partner.

Formative Assessment

•Quick Check 3-6

•Thank you for your dedication!

You may now visit mobymax.com

to practice.

End of Topic 3

Topic 3 Assessment