5th Grade Module 1 – Lesson 16

Lesson 16: I can solve word problems using decimal operations

5th Grade Module 1 – Lesson 16

Time to Sprint!

Your teacher will give you the sprint.

5th Grade Module 1 – Lesson 16

Get Your White Board & Place Value Chart Ready!

0.3 ÷ 2 = ___

1Ones

0.1Tenths

0.01Hundredths

0.001Thousandths

On your place value chart, draw 3 tenths in number disks.

Solve:3 tenths ÷ 2 = ___ hundredths ÷ 2 = ___ tenths ___ hundredths

0 . 32

15 1 5

00 . 1 5

- 2 1 0- 1 0 0

Write the algorithm and solve using the standard algorithm.

5th Grade Module 1 – Lesson 16

Solve the following problems using your place value chart and with the standard algorithm.

0.9 ÷ 5

6.7 ÷ 5

0.58 ÷ 4

93 tenths ÷ 6

5th Grade Module 1 – Lesson 16

Application Problem

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?

Let’s drawa tapediagram!

5th Grade Module 1 – Lesson 16

Concept Development

Take out your Problem Set (1.F.50) and we will work Problem 1 on your Problem Set together. We will use a tape diagram to solve.

Mr. Frye distributed $126 equally among his 4 children for their weekly allowance.

a. How much money did each child receive?

Who and What is this problem about? Let’s identify our variables (unknowns). Mr. Frye’s Money

Draw a bar to represent Mr. Frey’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. Let’s read the first sentence together.

Click to next slide…

5th Grade Module 1 – Lesson 16*note to teacher: use the lesson plan to prompt students

What is the important information in the first sentence? Turn and Talk.

Mr. Frye distributed $126 equally among his 4 children for their weekly allowance.

Mr. Frye’s Money

How can we represent this information on the diagram?

_____________ ___________

We can use a bracket on top of the bar and label it.

Underline the

important

information.

$126

How many children share the $126?How can we represent this information?

Let’s split

the diagram

into 4 equal

sections.

5th Grade Module 1 – Lesson 16

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

What is the question?How much money did each child receive?

What is the unknown in this problem? How will we represent it in our diagram? Turn and talk.

We are trying to find out the amount of money one of Mr. Frye’s children received for allowance. We should put a question mark inside one of the parts. Make sure you label your diagram just like I am.

?

5th Grade Module 1 – Lesson 16

Mr. Frye distributed $126 equally among his 4 children for their weekly allowance.

_____________ ___________

Mr. Frye’s Money

$126

?

Let’s make a unit statement about our diagram. How many unit bars are equal to $126?

4 units is the same as $126

How can we find the value of ONE unit? Turn & Talk.

We can use division because we have a whole that we are sharing equally.

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.

1 unit = $ 31.50

5th Grade Module 1 – Lesson 16

b).John, the oldest child, paid his siblings to do his chores. If John pays his allowance equally to his brother and two sisters, how much money will each of his siblings have received in all?

Mr. Frye’s Money

$126

$31.50

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

John’s money ?

$31.50

$31.50 ÷ 3 = ?3 tens ÷ 3 + 15 tenths ÷ 3 1 ten + 5 tenths 10.5 = $10.50

From Mr. Frye = $31.50From John = $10.50Total =$42.00

Click to reveal solution.

5th Grade Module 1 – Lesson 16

Let’s try #4 in your Problem Set!I will guide you through the problem.

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? Use a tape diagram and show your calculations.

Read the problem. Identify the variables (who & what) and draw a bar.

Brandon’s cashews/pistachios

5th Grade Module 1 – Lesson 16

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? Use a tape diagram and show your calculations.

Brandon’s cashews/pistachios

Read the first sentence. What is the important information in this sentence? Tell your partner.

How can we represent this information on our tape diagram?

Let’s

underline the

important

information.

We will have two parts inside the bar. Will they be equal in size?

No! The cashews are about twice the size! Draw & Label

on your sheet!

6.83 3.57

_____________________ _______________________

5th Grade Module 1 – Lesson 16

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? Use a tape diagram and show your calculations.

Brandon’s cashews/pistachios

Lets read the next sentence. How will we represent this part of the problem? Turn & Talk.

I used the same bar but added the cashews & pistachios together (10.4lbs.) and split the bar up between the 6 bags with the mixture plus the 0.35lbs leftover.

Draw & Labelon your sheet!

b b b b b b left

6.83 + 3.57 = 10.4

0.35

5th Grade Module 1 – Lesson 16

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? Use a tape diagram and show your calculations.

Brandon’s cashews/pistachios

What is the question? Where should we put our question mark?

How will we find the value of 1 unit in our diagram? Turn & Talk.

Perform your calculations and state your answer in a complete sentence.

b b b b b b left

6.83 + 3.57 = 10.4

0.35

?

(10.4 – 0.35) ÷ 6 = 10.05 ÷ 6 =

1.675 lbs.

5th Grade Module 1 – Lesson 16

Problem Set Work

Complete questions 2, 3, and 5 on the Problem Set worksheet. Use a tape diagram and calculations to solve.

5th Grade Module 1 – Lesson 16

Debrief• In question 3, how did you represent the

information using the tape diagram?• How did the tape diagram in 1(a) help you

solve 1(b)?• Look at 1(a) and 5(b). How are the questions

different? Does the difference in the questions affect the calculation of the answer?

5th Grade Module 1 – Lesson 10

Exit Ticket Time!