TOPIC 3 PLACE VALUE. Review What You Know - Vocabulary Choose the best term from the box. 1) A group...
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Transcript of TOPIC 3 PLACE VALUE. Review What You Know - Vocabulary Choose the best term from the box. 1) A group...
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
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
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
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
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
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
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. >
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
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 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
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
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 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
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
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