4th Grade
Math
Study Guide
Name: ___________________________________
1
Extra notes
2
Place Value for 37,210,608.
•
•
Label the place values and house families on the chart.
Write the number in the chart.
,
•
Write the number in expanded form.
•
Write the number in word form.
•
Explain the importance of place value.
,
Personal Connections
3
Sample Problems
4
Ordering Numbers
Order from least to greatest:
26,423 and 45,958 and 26,710 and 45,998
Ten
Thousand
Thousand
,
Hundred
Tens
Ones
Use color and explain the steps to order the numbers from least to greatest.
Personal Connections
5
Sample Problems
6
Rounding to nearest 1,000
7,625 rounds to ______ because ___________________.
Rounding to nearest 100
7,625 rounds to ______ because ___________________.
7
Rounding to nearest 10
7,625 rounds to ______ because ___________________.
What observations can you make about rounding to the nearest thousands, hundreds,
and tens?
How does the rounded number relate to the exact number?
Personal Connections
8
Sample Problems
9
Operations
S. item
12,326
?
T. item
5,145
Write 2
number
sentences.
Write 2
process
statements.
What's the operation?
How do you know?
Personal Connections
10
Operations
Label next to sun
drawing.
the action that matches the model
List two
number
sentences
Write 2 statements in
words to describe the
model drawings
53
?
S. item
20
broke
53
?
S. item
T. item
20
53
S. item
20
?
P
NP
What’s the operation?
Describe how you identified each action:
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Sample Problems
Personal Connections
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Estimation
Ms. Davis is keeping track of her car mileage. She drove 2,132 miles in
January, another 1,614 miles in February, and 765 miles in March.
Which of the following is the best estimate of the number of miles she
drove for the three months?
Exact
Team
Estimate
Team
How do you know your estimate is a reasonable estimate? Explain.
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Sample Problems
Personal Connections
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Multiplication
Austin’s mother bought 4 cases of soda for a party. There were
8 cans in each case. How many cans of soda did Austin’s mother
buy altogether?
A.Mom
soda
Total
# in
Each
Groups
Describe multiplication.
Describe what usually happens when we multiply.
Can you write a number sentence where this is not true?
Personal Connections
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Sample Problems
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Division
Mrs. James counted 42 candies in her package of M & M’s.
She wants to share them with herself and 5 students. How
many M & M’s will each person get?
Total
M.J.
candies
# in
Each
Groups
Mrs. James counted 42 candies in her package of M & M’s.
She wants to give each student 6 M & M’s. How many
students will get M & M’s?
Total
M.J.
candies
# in
Each
Groups
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Sample Problems
Personal Connections
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Multiplication vs. Division
•Write a number sentence that matches the picture.
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Cody
minutes
4
Day
1
Cody
minutes
4
4
Day Day
2
3
4
4
Day Day Day
4
5
?
4
4
4
?
4
Day
1
Cody
minutes
4
4
4
Day Day
2
3
Day Day Day
4
5
6
24
?
Day
Day Day
1
2
3
Day Day Day
4
5
6
Look at the model drawings. What stayed the same?
What changed?
How are multiplication and division different?
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Sample Problems
Personal Connections
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Fact Families
•Fill in the Fact family for the numbers below.
•Be sure to label vocabulary: factors, product, quotient…
28
×÷
4
?
What is important to remember when writing a fact family?
Personal Connections
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Sample Problems
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Revised Aug.
2010
How can you show 0 x 0=
1x0=
2 x 0=
0x1
0 x 2=
What do you see, what do you notice? (Rule)
How can you show 1 x 1=
2x1=
3 x 1=
1 x 2=
1 x 3=
What stayed the same? What changed?
What do you notice when multiplying by 1? (rule)
How can you show 2 x 2=
3x2=
4 x 2=
2 x 3=
2 x 4=
What do you see, what do you notice?
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How can the commutative property (turn around fact) of multiplication help you?
Revised Aug.
2010
What do you see, what do you notice?
What do you see, what do you notice?
What do you see, what do you notice?
What do you see, what do you notice?
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List #’s 0-9
List #’s 0-9
What do you see, what do you notice?
Patterns: Relationships in a Table
In
48
In
Out 30
Out 14
32
In
Out 7
Days in Weeks
Number
of
Weeks
1
Number
of Days
7 21 28 49
3
4
7
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•Write a number sentence showing
the rule for the number machine.
•Describe the rule for this number
machine using words.
•Write an expression to find the number of
days in 7 weeks.
•Describe the relationship in the table using
words.
Explain what is important to remember when trying to find a pattern between numbers?
How are relationships in tables similar to fact families?
Personal Connections
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Sample Problems
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