Video solutions to help Grade 5 students learn how to find a fraction of a measurement, and solve word problems.

Common Core Standards: 5.NF.4a

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Common Core For Grade 5

Lesson 9 Application Problem

There are 42 people at a museum. Two-thirds of them are children. How many children are at the museum?

Extension: If 13 of the children are girls, how many more boys than girls are at the museum?

Note: Today’s Application Problem is a multi-step problem. Students must find a fraction of a set and then use that information to answer the question. The numbers are large enough to encourage simplifying strategies as taught in G5–M4–Lesson 8 without being overly burdensome for students who prefer to multiply and then simplify or still prefer to draw their solution using a tape diagram.

Lesson 9 Concept Development

Problem 1

1/4 lb = ___ oz

Problem 2

3/4 ft = ___ in

Problem 3

Mr. Corsetti spends 2/3 of every year in Florida. How many months does he spend in Florida each year?

Lesson 9 Problem Set

1. Convert. Show your work using a tape diagram or an equation.

c. 5/6 year = ________ months

d. 4/5 meter = ________ centimeters

e. 2/3 hour = ________ minutes

f. 3/4 yard = ________ inches

3. At the market, Mr. Paul bought 7/8 lb of cashews and 3/4 lb of walnuts.

a. How many ounces of cashews did Mr. Paul buy?

b. How many ounces of walnuts did Mr. Paul buy?

c. How many more ounces of cashews than walnuts did Mr. Paul buy?

d. If Mrs. Toombs bought 1 1/2 pounds of pistachios, who bought more nuts, Mr. Paul or Mrs. Toombs? How many ounces more?

4. A jewelry maker purchased 20 inches of gold chain. She used 3/8 of the chain for a bracelet. How many inches of gold chain did she have left?

Lesson 9 Problem Set

2. Mrs. Lang told her class that the class's pet hamster is 1/4 ft in length. How long is the hamster in inches?

Lesson 9 Homework

1. Convert. Show your work using a tape diagram or an equation.

1/4 yd = _____ inches

1/6 foot = _____ inches

Lesson 9 Homework

This video show how to convert fractional units and whole number units using algorithms and tape diagrams.

1. Convert. Show your work using a tape diagram or an equation.

a) 1/4 yd = _____ inches

b) 1/6 foot = _____ inches

c) 3/4 year = ______ months

Lesson 9 Homework

1. Convert. Show your work using a tape diagram or an equation.

c) 3/4 year = ______ months

f) 2/3 yard = ______ inches

3. At the market, Ms. Winn bought 3/4 lb of grapes and 1/8 lb of cherries.

a. How many ounces of grapes did Ms. Winn buy?

b. How many ounces of cherries did Ms. Winn buy?

Lesson 9 Homework

1. Convert. Show your work using a tape diagram or an equation.

2. Michelle measured the length of her forearm. It was 3/4 of a foot. How long is her forearm in inches?

3. At the market, Ms. Winn bought 3/4 lb of grapes and 5/8 lb of cherries.

a. How many ounces of grapes did Ms. Winn buy?

b. How many ounces of cherries did Ms. Winn buy?

c. How many more ounces of grapes than cherries did Ms. Winn buy?

d. If Mr. Phillips bought 1 3/4 pounds of raspberries, who bought more fruit, Ms. Winn or Mr. Phillips? How many ounces more?

4. A gardener has 10 pounds of soil. He used 5/8 of the soil for his garden. How many pounds of soil did he use in the garden? How many pounds did he have left?