Lesson 19Objective: Convert

measures involving whole numbers

and solve multi-step word problems

By the end of the lesson, you will be able to…

5th Grade Module 4– Lesson 19K. Clauson

Application Problem

Angle A of a triangle is 1/2 the size of angle C. Angle B is 3/4 the size of angle C. If angle C measures 80 degrees, what are the measures of angle A and angle B? B

A

Multiply Decimals4 x 2 = 4 x 3 =4 x 0.2 = 0.4 x 3 =0.4 x 0.2 = 0.4 x 0.3 =0.04 x 0.2 = 0.04 x 0.3 =

2 x 9 = 2 x 0.9 =0.2 x 0.9 =0.02 x 0.9 =

Convert MeasuresO 1 yd = _____ ft 1 ft = _____

inO 10 yd = _____ ft 4 ft = _____

in

O 2 cups = _____ pt 1 gal = _____ qt

O 16 c = _____pt 8 gal = ____ _qt

Problem 1: 30 centimeters = _____ meters

O Which is a larger unit?O We are expressing a smaller unit in

terms of a larger unit. O Is 30 cm more or less than 1 meter?O Is it more or less than half a meter?O Keep this in mind as we work.

Concept Development

O We want to rename these centimeters using meters.

O 30 cm is the same as 30 copies of 1 cmO Let’s rename 1 cm as a fraction of a

meter. What fraction of a meter is 1 cm?

Problem 1: 30 centimeters = _____ metersO It takes 100 cm to make a meter, so 1 cm would be

1 hundredth of a meter.O 100 cm = 1 meter so 1 cm = 1/100 meter

30 cm = 30 x 1 cm = 30 x 1/100 meter

Now we have 30 copies of 1/100 meterHow many hundredths of a meter is that

in all?

Problem 1 Answer: 30 centimeters = _____ meters30 cm = 30/100 = 3/10 m

Problem 2 : 9 inches ____ ft

O 9 inches = 9 x 1 inchO 9 inches is 9 copies of 1 inchO What fraction of a foot is 1 inch?

O Before we rename 1 inch, let’s estimate. Will 9 inches be more than half or less than half a foot?

Problem 2 Answer: 9 inches ____ ft

9 x 1/12 ftNow we have 9 copies of 1/12 ft

9 = 312 4

Problem 2b:24 inches = ______ yard

Think: 24 inches is 24 copies of 1 inchHow many inches are in a yard?

Problem 3:Koalas will often sleep for 20

hours a day. For what fraction of a day does a Koala often sleep?

O What will we need to do to solve this problem?

O We’ll need to express hours in days. We’ll need to convert 20 hours into a fraction of a day.

Work with a partner to solve!

Problem 3:Koalas will often sleep for 20

hours a day. For what fraction of a day does a Koala often sleep?

Problem 4:15 inches = _____ feet

O Note! The process of converting will be the same as we have done already, but now our answer will be greater than 1.

O Work with a partner to solve this problem!

Problem 5:24 ounces = _____ pound

Get Ready to Finish theProblem Set on Your Own!

Complete Problem Set for Lesson 19.You will have 10 minutes to work!

-----------------------------------------------------------------Fast finishers:- Math Center Activities- choice boards,

extra Sprint challenge- CML packets/ worksheets- Problem Solving pages

5th Grade Module 4– Lesson 19K. Clauson

5th Grade Module 4- Lesson 19K. Clauson

LET’S DEBRIEF

• Take 2 minutes to check your answers with your partner.

• Let’s share any insights you had while solving these problems.

5th Grade Module 4– Lesson 19K. Clauson

EXITTICKET

LESSON 19