1. Find at least 3 equivalent fractions for each fraction shown. 2.

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Presentation transcript:

1

Find at least 3 equivalent fractions for each fraction shown. 2

Identify the fraction that is not equivalent to the other three. 3

Solve the following division equations. 4

5

6 Dao can make = 9 hamburgers.

7

1.Decide on an interpretation (measurement or partitive) 2.Draw a model 3.Find the answer 4.Choose a unit 5.Set up the situation 8

Fraction Bar 8/9 ÷ 2/9 Number Line 11/8 ÷ 3/4 Area Model 3/5 ÷ 1/4 9

When we know the original amount and the size or measure of one part, we use measurement division to find the number of parts. You can tell when a question is asking for measurement division because it asks, “How many _____ are in _________?” Writing division stories has five steps that are to be done in order.five steps Today we will only look at measurement division, and tomorrow we will go on to partitive division problems. 10

How many? in Decide on an interpretation Given: measurement model 2 Draw a model 1/2 1/8 1/2 1 3 Find the answer There are four 1/8 in 1/2. 11

How many? in 4 5 Set up a situation Choose a unit The divisor and dividend must be the same unit. Write an interesting, realistic, short, and clear story problem. Work with a partner to create your own story problem. You may use the same unit, but your situation must be unique. You could try another unit such as ounces, yards, or miles if you prefer. 12

Work with a partner to create your own story problem. You may use the same unit, but your situation must be unique. You could try another unit such as ounces, yards, or miles if you prefer

1. Bonnie Baker has a total of 1/2 pound of chocolate. She needs 1/8 pound of chocolate for each batch of brownies she bakes. How many batches of brownies can Bonnie bake with 1/2 pound of chocolate? 2.Tina uses 1/8 oz. of cinnamon each time she makes a batch of coffee cake topping. How many batches can she make if she has 1/2 oz. left in her spice jar? 3. Eugenia has 1/2 yard of ribbon. For each party decoration, she needs 1/8 yard. How many party decorations can she make?

How many? in Decide on an interpretation Given: measurement model 2 Draw a model 1 3 Find the answer There are 1 1/2 halves in 3/4. 15

1. Tia has 3/4 oz. of coffee left in her coffee can. She needs 1/2 oz. to make a cup of coffee. How many cups of coffee can she make? 2. Tiffany uses 1/2 oz. of glycerin each time she makes a batch of soap bubble mixture. How many batches can she make if she has 3/4 oz. left in her glycerin bottle? 3. Theresa has 3/4 yard of fabric. For each doll skirt she makes, she needs 1/2 yard. Does she have enough fabric to make 2 doll skirts?

How did we extend our work with division with fractions in this lesson? What were your biggest challenges when writing story problems involving division with fractions? 17

The method of creating division stories has five steps, to be followed in order: Step 1: Decide on an interpretation (measurement or partitive). Today we used only measurement division. Step 2: Draw a model. Step 3: Find the answer. Step 4: Choose a unit. Step 5: Set up a situation. This means writing a story problem that is interesting, realistic, short, and clear and that has all the information necessary to solve it. It may take you several attempts before you find a story that works well with the given dividend and divisor. 18

Write a story problem for the following measurement division: 3/4 ÷ 1/8 = 6. 1/4 1 1/8 19

Maria has lb. of trail mix. She needs to share it equally among 6 friends How can you show giving equal amounts of trail mix to each person? 20

cups of flour Molly used 9 cups of flour to bake bread. If this was 3/4 of the total amount of flour she started with, what was the original amount of flour? a) Create a model to represent what the question is asking. b) Explain how you would determine the answer using the model. 9 ÷ 3 = ÷ Solve 3 x 4 =

Identify the fraction that is not equivalent to the other three. 22

Solve the following division equations. 23