Grade 5 Module 1 Lesson 16

Sprint: Multiply by Exponents

Find the Quotient
0.3 ÷ 2 = ___ (On your place value chart, draw 3 tenths in number disks.

Find the Quotient
0.3 ÷ 2 = ___ (On your place value chart, draw 3 tenths in number disks.
3 tenths ÷ 2 = __ hundredths ÷ 2 =
__ tenths __ hundredths
(solve the division problem)

Find the Quotient
0.3 ÷ 2 = ___ (On your place value chart, draw 3 tenths in number disks.
3 tenths ÷ 2 = __ hundredths ÷ 2 =
__ tenths __ hundredths
(solve the division problem)
3 tenths ÷ 2 = 30 hundredths ÷ 2 =
1 tenths 5 hundredths

Find the Quotient
0.3 ÷ 2 = ___ (On your place value chart, draw 3 tenths in number disks.
3 tenths ÷ 2 = __ hundredths ÷ 2 =
__ tenths __ hundredths
(solve the division problem)
3 tenths ÷ 2 = 30 hundredths ÷ 2 =
1 tenths 5 hundredths
0.3 ÷ 2 = __ (Solve using the algorithm)

Find the Quotient
0.9 ÷ 5 = ___ (On your place value chart, draw 9 tenths in number disks.

Find the Quotient
0.9 ÷ 5 = ___ (On your place value chart, draw 9 tenths in number disks.
9 tenths ÷ 5 = __ hundredths ÷ 5 =
__ tenths __ hundredths
(solve the division problem)

Find the Quotient
0.9 ÷ 5 = ___ (On your place value chart, draw 9 tenths in number disks.
9 tenths ÷ 5 = __ hundredths ÷ 5 =
__ tenths __ hundredths
(solve the division problem)
9 tenths ÷ 2 = 90 hundredths ÷ 2 =
4 tenths 5 hundredths

Find the Quotient
0.9 ÷ 5 = ___ (On your place value chart, draw 9 tenths in number disks.
9 tenths ÷ 5 = __ hundredths ÷ 5 =
__ tenths __ hundredths
(solve the division problem)
9 tenths ÷ 2 = 90 hundredths ÷ 2 =
4 tenths 5 hundredths
0.9 ÷ 5 = __ (Solve using the algorithm)

Application Problems
Jesse and three friends buy snacks for a hike.
They buy trail mix for $5.42, apples for $2.55, and granola bars for $3.39. If the four friends split the cost of the snacks equally, how much should each friend pay?

Application Problems
Jesse and three friends buy snacks for a hike.
They buy trail mix for $5.42, apples for $2.55, and granola bars for $3.39. If the four friends split the cost of the snacks equally, how much should each friend pay?
trail mix apples granola bars
$5.42
$2.55
$3.39

Application Problems
Jesse and three friends buy snacks for a hike.
They buy trail mix for $5.42, apples for $2.55, and granola bars for $3.39. If the four friends split the cost of the snacks equally, how much should each friend pay?
trail mix apples granola bars
$5.42
$2.55
$3.39
= $11.36

Application Problems
Jesse and three friends buy snacks for a hike.
They buy trail mix for $5.42, apples for $2.55, and granola bars for $3.39. If the four friends split the cost of the snacks equally, how much should each friend pay?
trail mix apples granola bars
$5.42
$2.55
$3.39
= $11.36
= $11.36

Application Problems
Jesse and three friends buy snacks for a hike.
They buy trail mix for $5.42, apples for $2.55, and granola bars for $3.39. If the four friends split the cost of the snacks equally, how much should each friend pay?
trail mix apples granola bars
$5.42
$2.55
$3.39
= $11.36
$2.84
$2.84
$2.84
$2.84
= $11.36

Concept Development
Problem 1:
Mr. Frye distributed $126 equally among his 4 children for their weekly allowance. How much money did each child receive?

Concept Development
Problem 1:
Mr. Frye distributed $126 equally among his 4 children for their weekly allowance. How much money did each child receive?
Who and what is this problem about?

Concept Development
Problem 1:
Mr. Frye distributed $126 equally among his 4 children for their weekly allowance. How much money did each child receive?
Who and what is this problem about?
Let’s identify our variables.

Concept Development
Problem 1:
Mr. Frye distributed $126 equally among his 4 children for their weekly allowance. How much money did each child receive?
Who and what is this problem about?
Let’s identify our variables.
Mr. Frye’s money

Concept Development
Problem 1:
Mr. Frye distributed $126 equally among his 4 children for their weekly allowance. How much money did each child receive?
Draw a bar to represent Mr. Frye’s money.

Concept Development
Problem 1:
Mr. Frye distributed $126 equally among his 4 children for their weekly allowance. How much money did each child receive?
Draw a bar to represent Mr. Frye’s money.
Mr. Frye’s money

Concept Development
Problem 1:
Mr. Frye distributed $126 equally among his 4 children for their weekly allowance. How much money did each child receive?
Draw a bar to represent Mr. Frye’s money.
Mr. Frye’s money
Let’s read the problem sentence by sentence and adjust our diagram to match the information in the problem.

Concept Development
Problem 1:
Mr. Frye distributed $126 equally among his 4 children for their weekly allowance. How much money did each child receive?
Mr. Frye’s money
What is the important information in the first sentence? Turn and talk.

Concept Development
Problem 1:
Mr. Frye distributed $126 equally among his 4 children for their weekly allowance. How much money did each child receive?
Mr. Frye’s money
$126

Concept Development
Problem 1:
Mr. Frye distributed $126 equally among his 4 children for their weekly allowance. How much money did each child receive?
Mr. Frye’s money
$126
How many children share the 126 dollars?

Concept Development
Problem 1:
Mr. Frye distributed $126 equally among his 4 children for their weekly allowance. How much money did each child receive?
Mr. Frye’s money
$126
How many children share the 126 dollars? 4 children
How can we represent this information?

Concept Development
Problem 1:
How many children share the 126 dollars?
4 children
How can we represent this information?
Divide the bar into 4 equal parts.
Mr. Frye’s money $126

Concept Development
Problem 1:
What is the question?
Mr. Frye’s money $126

Concept Development
Problem 1:
What is the question?
What is unknown in this problem? How will we represent it in our diagram?
Mr. Frye’s money $126
?

Concept Development
Problem 1:
How many unit bars are equal to $126?
Mr. Frye’s money $126
?

Concept Development
Problem 1:
How many unit bars are equal to $126?
4 units is the same as $126
How can we find the value of one unit?
Mr. Frye’s money $126
?

Concept Development
Problem 1:
How many unit bars are equal to $126?
4 units is the same as $126
How can we find the value of one unit?
Divide $126 by 4
Mr. Frye’s money $126
?

Concept Development
Problem 1:
How can we find the value of one unit?
Divide $126 by 4
(Use division because we have a whole that we are sharing equally.)
Mr. Frye’s money $126
?

Concept Development
Problem 1:
What is the equation that will give us the amount that each child receives?
Mr. Frye’s money $126
?

Concept Development
Problem 1:
What is the equation that will give us the amount that each child receives?
$126 ÷ 4 = ___
Mr. Frye’s money $126
?

Concept Development
Problem 1:
What is the equation that will give us the amount that each child receives?
$126 ÷ 4 = ___ (Solve and express your answer in a complete sentence.)
Mr. Frye’s money $126
?

Concept Development
Problem 1:
$126 ÷ 4 = ___ (Solve and express your answer in a complete sentence.)
Each child received $31.50 for their weekly allowance.
Mr. Frye’s money $126
?

Concept Development
Look at part b of question 1 and solve using a tape diagram.

Concept Development
Problem 2: Brandon mixed 6.83 lbs. of cashews with 3.57 lbs. of pistachios. After filling up 6 bags that were the same size with the mixture, he had 0.35 lbs. of nuts left. What was the weight of each bag?
Identify the variables (who and what) and draw a bar.

Concept Development
Problem 2: Brandon mixed 6.83 lbs. of cashews with 3.57 lbs. of pistachios. After filling up 6 bags that were the same size with the mixture, he had 0.35 lbs. of nuts left. What was the weight of each bag?
Brandon’s cashews/pistachios

Concept Development
Problem 2: Brandon mixed 6.83 lbs. of cashews with 3.57 lbs. of pistachios. After filling up 6 bags that were the same size with the mixture, he had 0.35 lbs. of nuts left. What was the weight of each bag?
Brandon’s cashews/pistachios
Read the first sentence.

Concept Development
Problem 2: Brandon mixed 6.83 lbs. of cashews with 3.57 lbs. of pistachios. After filling up 6 bags that were the same size with the mixture, he had 0.35 lbs. of nuts left. What was the weight of each bag?
Brandon’s cashews/pistachios
What is the important information in this sentence.

Concept Development
Problem 2: Brandon mixed 6.83 lbs. of cashews with 3.57 lbs. of pistachios. After filling up 6 bags that were the same size with the mixture, he had
0.35 lbs. of nuts left. What was the weight of each bag? Brandon’s cashews/pistachios
What is the important information in this sentence.
6.83 lbs. or cashews and 3.57 lbs. of pistachios.

Concept Development
Problem 2: What is the important information in this sentence. 6.83 lbs. or cashews and 3.57 lbs. of pistachios.
How can I represent this information in our tape diagram? Should the parts be equal in size?
Brandon’s cashews/pistachios

Concept Development
Problem 2: What is the important information in this sentence. 6.83 lbs. or cashews and 3.57 lbs. of pistachios.
How can I represent this information in our tape diagram? Show two parts inside the bar.
Brandon’s cashews/pistachios
6.83 3.87

Concept Development
Problem 2: What is the important information in this sentence. 6.83 lbs. or cashews and 3.57 lbs. of pistachios.
Brandon’s cashews/pistachios
10.4
B B B B B B left
0.35

Concept Development
Problem 2: 6 units + 0.35 = 10.4
1 unit = (10.4 – 0.35) ÷ 6
Brandon’s cashews/pistachios
10.4
B B B B B B left
0.35

Concept Development
Problem 2: 6 units + 0.35 = 10.4
1 unit = (10.4 – 0.35) ÷ 6
1 unit = 1.675 lbs.
Brandon’s cashews/pistachios
10.4
B B B B B B left
0.35

Concept Development
Problem 2: 6 units + 0.35 = 10.4
1 unit = (10.4 – 0.35) ÷ 6
Each bag contains 1.675 lbs. of nuts.
Brandon’s cashews/pistachios
10.4
left B B B B B B
0.35

Student Debrief
Lesson Objective: Solve word problems using decimal operations.