Table of Contents
Georgia
Performance Standards
Strand 1 Number and Operations
Lesson 1
Factors and Multiples. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 M5N1.b
Lesson 2
Classifying Numbers: Prime and Composite Numbers. . . . . . 10
M5N1.a, M5P3.b, M5P3.d
Lesson 3
Divisibility . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
M5N1.c, M5P2.b, M5P2.c
Lesson 4
Understanding Decimals and Place Value . . . . . . . . . . . . . . . 18 M5N2.a,
Lesson 5
Multiplying and Dividing Decimals
Lesson 6
Lesson 7
Lesson 8
M5P5.a
M5N2.b, M5N3.a, M5N3.b,
by a Whole Number. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 M5P2.c,
M5P2.d
Multiplying Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 M5N3.a,
M5N3.b,
M5N3.c,
M5N3.d
Dividing Decimals. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 M5N3.a,
M5N3.b,
M5N3.c,
M5N3.d
M5N4.b,
M5N4.c
Simplifying Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 M5P5.a,
M5P5.b
Equivalent Fractions and
Lesson 9
Fractions as Division . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38
Lesson 10
Modeling Multiplying And Dividing Fractions . . . . . . . . . . . . . 42 M5N4.d,
M5P5.a
M5P5.b,
M5P5.c
Lesson 11
M5N4.a, M5P2.d, M5P5.a
Greatest Common Factor (GCF) and
Least Common Multiple (LCM). . . . . . . . . . . . . . . . . . . . . . . . 46 M5N4.e
Lesson 12
Finding Common Denominators . . . . . . . . . . . . . . . . . . . . . . 50
Lesson 13
Comparing Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54 M5N4.f
Lesson 14
Adding and Subtracting Fractions
M5N4.e, M5P4.a, M5P4.b
with Unlike Denominators . . . . . . . . . . . . . . . . . . . . . . . . . . . 58 M5N4.g
Lesson 15
Fraction-Decimal Equivalences . . . . . . . . . . . . . . . . . . . . . . . 62 M5N4.h
Lesson 16
Fractions: Estimating Products and Quotients . . . . . . . . . . . . 66 M5N4.i,
M5P2.b
Lesson 17
Modeling and Applying Percents . . . . . . . . . . . . . . . . . . . . . . 70 M5N5.a,
M5N5.b
M5P1.b,
M5P1.d
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Georgia
Performance Standards
Strand 2 Measurement
Lesson 18
Estimating Areas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74
M5M1.a, M5P1.a, M5P1.c
Lesson 19
Finding the Area of Parallelograms
M5M1.b, M5M1.c, M5P2.a,
and Triangles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78 M5P4.a,
M5P4.b
Lesson 20
Area of Triangles and Parallelograms . . . . . . . . . . . . . . . . . . . 82
M5M1.d, M5P1.b, M5P2.a
Lesson 21
Area of Circles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86
M5M1.e, M5P1.a, M5P2.b,
M5P2.d,
Lesson 22
Area of Composite Figures. . . . . . . . . . . . . . . . . . . . . . . . . . . 90
Lesson 23
Measuring Capacity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94 M5M3.a,
Lesson 24
Introduction to Volume of Prisms . . . . . . . . . . . . . . . . . . . . . . 98
M5P3.a
M5M1.f, M5P1.a, M5P1.d
M5M3.b
M5M4.a, M5M4.b, M5M4.c,
M5M4.f, M5P3.a, M5P3.d
Lesson 25
Volume of Rectangular Prisms and Cubes . . . . . . . . . . . . . 102 M5M4.d,
M5P1.b,
M5M4.e,
M5P4.c
Strand 3 Geometry
Lesson 26
Congruent Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 106 M5G1,
M5P2.c,
Lesson 27
Circumference, Diameter, and Pi . . . . . . . . . . . . . . . . . . . . . 110 M5G2,
M5P2.b,
M5P2.d
M5P2.b,
M5P2.d,
M5P4.a
Representing Unknown Quantities. . . . . . . . . . . . . . . . . . . . 114 M5A1.a,
M5P3.c,
M5P5.a,
M5P5.b
Strand 4 Algebra
Lesson 28
Lesson 29
Evaluating Algebraic Expressions. . . . . . . . . . . . . . . . . . . . . 118
M5A1.b, M5A1.c, M5P3.c,
M5P5.a,
M5P5.b
Strand 5 Data Analysis
Lesson 30
Analyzing Data from Graphs . . . . . . . . . . . . . . . . . . . . . . . . 122
M5D1.a, M5P5.a,
M5P5.b,
Lesson 31
Comparing and Contrasting Graphic Representations . . . . 126
M5P5.c
M5D1.b, M5D2, M5P5.a,
M5P5.b,
M5P5.c
Math Words . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130
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Number and Operations
LESSON
1
2EVIEW)T
Factors and Multiples
When you work with factors and multiples, remember
these words:
product the result of multiplication
factor when two whole numbers are
multiplied, each is a factor of the product
multiple the product of a whole number and
a counting number (1, 2, 3, 4, ...)
32 is a multiple of 8.
2 and 4 are factors of 8.
Find the fi rst five multiples of 12 and all factors of 12.
Step 1
Multiply to find multiples.
12 1 12
12 2 24
12 3 12 4 12 5 Step 2
REMEMBER Multiply
12 by 1, by 2, by 3, ...
Start with 1 to find factors.
1 12 12
1 and 12 are factors.
2 6 12
2 and 6 are factors.
3 4 12
3 and 4 are factors.
12 has
factors in all.
So, the fi rst five multiples of 12 are
of 12 are
.
and the factors
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4RY)T
1.
5
Find the first 6 multiples of each
number.
!SK
9OURSELF
2. 9
1.
What number do
you multiply by first?
0, 1, or 2?
3.
11
4. 8
5.
16
6. 15
7.
25
8. 100
Number and Operations
Lesson 1: Factors and Multiples
Find the factors of each number.
9.
10
10. 13
11.
15
12. 18
13.
24
14. 60
15.
21
16. 36
9.
Which is a factor
of 10?
2, 3, or 4?
Solve.
17.
18.
Ellie works at a camp. Her age is a multiple of 6 and a
multiple of 8. What is the youngest age Ellie could be?
17.
Which is a multiple
of 6?
3 or 12?
Felo is thinking of a number between 50 and 60. One of its
factors is 9. What is Felo’s number?
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Number and Operations
/N9OUR/WN
1.
2.
3.
4.
Circle the best answer for each question.
Which is a multiple of 4?
5.
Which list shows all of the factors of
20?
A.
2
B.
10
A.
1, 2, 4, 5, 20
C.
14
B.
1, 2, 4, 5, 10, 20
D.
20
C.
1, 2, 4, 5, 6, 10, 20
D.
1, 2, 4, 5, 6, 8, 10, 20
Which is a factor of 80?
A.
9
6.
B.
15
C.
20
Jeff is thinking of a number less
than 100. It is a multiple of 10 and a
multiple of 20. What is the greatest
number Jeff could be thinking of?
D.
25
A.
90
B.
80
C.
60
D.
30
Which is NOT a factor of 16?
A.
2
B.
4
C.
6
D.
8
Which is NOT a multiple of 14?
A.
32
B.
56
C.
70
D.
98
7.
Ariana baked apple turnovers. She
can divide the turnovers into equal
groups of 3 or equal groups of 4.
Which of these could be the number
of turnovers Ariana baked?
A.
7
B.
16
C.
30
D.
36
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8.
Part A.
Write the factors of 22.
Part B.
Use the numbers from Part A to write a sentence that includes the word
“multiple.”
-ATH
7ORDS
Number and Operations
Lesson 1: Factors and Multiples
Fill in the blanks.
9.
Since 6 7 42, 42 is a
of 6.
10.
Since 6 7 42, 6 is a
of 42.
11.
When two numbers are multiplied, the result is called the
.
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Number and Operations
Classifying Numbers:
Prime and Composite
Numbers
LESSON
2
2EVIEW)T
When you classify numbers, remember these words:
prime number a number with exactly two
factors, 1 and itself
composite number a number with more
than two factors
3 is a prime number.
4 is a composite number.
Which of the following numbers is prime?
24, 27, 29, 49
Step 1
List the factors of each number.
REMEMBER A factor
divides a number evenly
without a remainder.
24: 1, 2, 3, 4, 6, 8, 12, 24
27: 1, 3, 9, 27
29: 1, 29
49: 1, 7, 49
Step 2
Count the number of factors.
24 has 8 factors.
27 has 4 factors.
29 has
factors.
49 has
factors.
So,
is the prime number.
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4RY)T
1.
28
Write prime or composite for each
number.
2.
5
3. 31
4.
17
5.
33
6. 9
7.
23
8.
12
9. 100
10.
16
11. 81
12. 103
13.
125
14. 32
15. 63
16.
61
17. 50
18. 93
19.
83
20. 19
21. 55
!SK
9OURSELF
Number and Operations
Lesson 2: Classifying Numbers
1.
Is one of these a
factor of 28?
2, 3, or 5?
4.
How many factors
does a prime number
have?
0, 1, or 2?
Solve.
22.
23.
The number of 5th-grade students in Saskia’s school
is a prime number greater than 50. What is the
smallest number of 5th-grade students there could be?
22.
Is one of these a
factor of 51?
2, 3, 5, or 7?
Aaron visited India last year. The number of days he
spent there is the largest two-digit prime number.
How many days did Aaron spend in India last year?
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