NYS COMMON CORE MATHEMATICS CURRICULUM
1
Lesson 32 Application Problem 5•4
Four baby socks can be made from 3 skein of yarn. How many baby socks can be made from a whole skein?
Draw a number line to show your thinking.
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 32 Concept Development 5•4
Problem 1: Write word form expressions numerically.
3
1
a. Twice the sum of 5 and 1 2
3
1
b. Half the sum of 5 and 1 2
3
1
c. The difference between 4 and 2 divided by 3
Problem 2: Write numerical expressions in word form.
a.
𝟐
𝟓
𝟏
× (𝟐 − 0.4)
𝟑
𝟏
b. (𝟒 + 1.25) ÷ 𝟑
𝟏
c. (2 ÷ 𝟓) × 0.3
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 32 Problem Set Answer Key 5•4
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 32 Problem Set Answer Key 5•4
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 32 Problem Set Answer Key 5•4
Lesson 32 Problem Set 5•4
NYS COMMON CORE MATHEMATICS CURRICULUM
1
1. Circle the expression equivalent to the sum of 3 and 2 divided by 3.
3+2
1
3 + (2 ÷ 3)
3
1
1
(3 + 2) ÷ 3
3
4
÷ (3 + 2)
7
2. Circle the expression(s) equivalent to 28 divided by the difference between 5 and 10.
4
28 ÷ ( −
5
7
)
10
28
4 7
–
5 10
4
7
5
10
( −
) ÷ 28
28 ÷ (
7
10
4
− )
5
3. Fill in the chart by writing an equivalent numerical expression.
a. Half as much as the difference between 2 1 and 3.
4
8
b. The difference between 2 1 and 3 divided by 4.
4
8
c.
7
A third of the sum of 8 and 22 tenths.
d. Add 2.2 and 7 , and then triple the sum.
8
4. Compare expressions 3(a) and 3(b). Without evaluating, identify the expression that is greater.
Explain how you know.
Lesson 32 Problem Set 5•4
NYS COMMON CORE MATHEMATICS CURRICULUM
5. Fill in the chart by writing an equivalent expression in word form.
a.
3
b.
7
c.
(1.75 + 5) × 3
d.
2 ÷ (2 × 5)
4
9
3
× (1.75 + 5)
1
– (8 × 0.2)
3
1
4
4
6. Compare the expressions in 5(a) and 5(c). Without evaluating, identify the expression that is
less. Explain how you know.
7. Evaluate the following expressions.
1
a. (9 – 5) ÷ 3
d.
1
2
×
3
5
×
5
3
b.
5
3
1
× (2 × 4)
c.
3
e. Half as much as (4 × 0.2)
1
3
1
÷ (1 ÷ 4)
f. 3 times as much as the
quotient of 2.4 and 0.6
Lesson 32 Problem Set 5•4
NYS COMMON CORE MATHEMATICS CURRICULUM
8. Choose an expression below that matches the story problem, and write it in the blank.
2
3
× (20 – 5)
2
2
(3 × 20) – (3 × 5)
2
3
× 20 – 5
2
(20 – 3) – 5
2
a. Farmer Green picked 20 carrots. He cooked 3 of them, and then gave 5 to his rabbits. Write
the expression that tells how many carrots he had left.
Expression: ____________________________________
2
b. Farmer Green picked 20 carrots. He cooked 5 of them, and then gave 3 to his rabbits. Write
the expression that tells how many carrots the rabbits will get.
Expression: ____________________________________
Lesson 32 Exit Ticket 5•4
NYS COMMON CORE MATHEMATICS CURRICULUM
1. Write an equivalent expression in numerical form.
A fourth as much as the product of two-thirds and 0.8
2. Write an equivalent expression in word form.
a.
3
8
1
× (1 – 3)
1
b. (1 – 3)  2
3. Compare the expressions in 2(a) and 2(b). Without evaluating, determine which expression is
greater, and explain how you know.
Lesson 32 Homework 5•4
NYS COMMON CORE MATHEMATICS CURRICULUM
1. Circle the expression equivalent to the difference between 7 and 4, divided by a fifth.
1
7−4
7 + (4 ÷ 5)
1
1
(7 − 4) ÷ 5
5
5
2
÷ (7 − 4)
3
2. Circle the expression(s) equivalent to 42 divided by the sum of 3 and 4.
2
3
2
(3 + 4) ÷ 42
3
2
(42 ÷ 3) + 4
3
42
42 ÷ (3 + 4)
2 3
+
3 4
3. Fill in the chart by writing the equivalent numerical expression or expression in word form.
Expression in word form
a.
1
A fourth as much as the sum of 3 8 and 4.5
1
b.
c.
d.
e.
Numerical expression
(3 8 + 4.5) ÷ 5
3
Multiply 5 by 5.8, then halve the product
1
6
1
× (4.8 – 2)
1
8 – (2 ÷ 9)
4. Compare the expressions in 3(a) and 3(b). Without evaluating, identify the expression that is
greater. Explain how you know.
Lesson 32 Homework 5•4
NYS COMMON CORE MATHEMATICS CURRICULUM
5. Evaluate the following expressions.
a. (11 – 6) ÷
d.
3
4
×
2
5
×
1
b.
6
4
9
5
1
× (4 × 6)
c.
3
1
10
1
÷ (5 ÷ 2)
5
e. 50 divided by the difference between 4 and 8
3
6. Lee is sending out 32 birthday party invitations. She gives 5 invitations to her mom to give to
family members. Lee mails a third of the rest, and then she takes a break to walk her dog.
a. Write a numerical expression to describe how many invitations Lee has already mailed.
b. Which expression matches how many invitations still need to be sent out?
1
32 – 5 – 3 (32 – 5)
2
3
× 32 – 5
1
(32 – 5)÷ 3
1
3
× (32 – 5)