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 hundredths0.9 ÷ 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 childrenHow can we represent this information?

Concept Development

Problem 1:How many children share the 126 dollars? 4 childrenHow 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 $126How 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 $126How can we find the value of one unit?Divide $126 by 4Mr. 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

B B B B B B left

0.35

Student Debrief

Lesson Objective: Solve word problems using decimal operations.