TOPIC 3
PLACE VALUE
Review What You Know - Vocabulary
Choose the best term from the box.
odd
period
even
number line
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.
Review What You Know – Comparing Numbers
Compare 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 Value
Tell if the underlined digit is in the ones, tens, or hundreds place.
346
b) 17
c) 921
d) 1,006
e) 999
f) 1,405
a)
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
C. 65 < 58
B. 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
C. 8
B. 10
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
C. 15
B. 10
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
C. 18
B. 7
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
C. 20
B. 12
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
C. 20
B. 30
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