Videos to help Grade 5 students learn how to convert mixed unit measurements, and solve multi-step word problems.

Common Core Standards: 5.NBT.7, 5.NF.4a, 5.NF.6, 5.MD.1, 5.NF.4b

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Common Core For Grade 5

New York State Common Core Math Module 4, Grade 5, Lesson 20

Lesson 20 Application Problem

A recipe calls for 3/4 lb of cream cheese. A small tub of cream cheese at the grocery store

weighs 12 oz. Is this enough cream cheese for the recipe?

Lesson 20
Concept Development

Problem 1: Conversion of large units to small units.

4 1/2 yd = ____ ft

2 1/2 ft = ____ in

3 1/2 gal = ____ qt

1 1/2 hr = ____ min

Problem 2: Conversion of small units to large units.

11 ft = ____ yd

5 1/2 ft = ____ yd

3 1/2 qts = ____ gal

Problem 3: A container can hold 4 1/2 pints of water. How many cups of water can 2 containers hold?

Lesson 20 Problem Set

1. Convert. Show your work. Express your answer as a mixed number. (Draw a tape diagram if it helps you.)

c. 4 2/3 ft = ___ in

d. 9 1/2 pt = ___ qt

e. 3 3/5 hr = ___ min

f. 3 2/3 ft = ___ yd

2. Three dump trucks are carrying topsoil to a construction site. Truck A carries 3,545 lb, Truck B carries 1,758 lb, and Truck C carries 3,697 lb. How many tons of topsoil are the 3 trucks carrying all together?

4. Marvin buys a hose that is 27 3/4 feet long. He already owns a hose at home that is 2/3 the length of the new hose. How many total yards of hose does Marvin have now?

Lesson 20 Homework

This video shows how to convert units of measurements using tape diagrams and multiplication algorithms.

1. Convert. Show your work. Express your answer as a mixed number.

a. 2 2/3 yd = 8 ft

c. 3 5/6 ft = _____ in

2. Four members of a track team run a relay race in 165 seconds. How many minutes did it take them to run the race?

Lesson 20 Homework

1. Convert. Show your work. Express your answer as a mixed number.

a. 2 2/3 yd = 8 ft

b. 1 1 /4 ft = _____ yd

c. 3 5/6 ft = _____ in

d. 7 1/3 pt = _____ qt

e. 4 3/10 hr = _____ min

f. 33 months = ____ yrs

Lesson 20 Homework

2. Four members of a track team run a relay race in 165 seconds. How many minutes did it take them to run the race?

3. Horace buys 2 3/4 lb of blueberries for a pie. He needs 48 oz of blueberries for the pie. How many more pounds of blueberries does he need to buy?

4. Tiffany is sending a package that may not exceed 16 lb. The package contains books that weigh a total of 9 2/3 lb. The other items to be sent weigh 3/5 the weight of the books. Will Tiffany be able to send the package?

3. Mindy buys 3 3/4 gallons of juice. Denny buys 7 quarts more than Mindy. How much tea do they buy all together? Express your answer in quarts.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.