GRADE 6 UNIT 1: FRACTIONS AND DECIMALS LESSON 2 – SEGMENT 5 Patterns in Division

Modeling Division There are 8 cookies and Ruby is putting 4 cookies in each bag. How many bags does she need? Solve with a visual model and equation.

Division means to break apart into equal groups The model below represents: 8 ÷ 4 = 2 How many groups of 4 are in 8? 2 groups of 4

Division models are made by partitioning a diagram into equal portions. What is the size of each portion if you share 5 bricks of clay equally among 4 people?

Applying to Fractions There are 8 sandwiches and they were all cut in ½ before they were put on the tray. How many pieces are on the tray? Solve with a visual model and equation.

Division means to break into equal pieces The model below demonstrates 8 ÷ ½ 8 1/2 8 ÷ ½ How many ½’s are in 1? How many ½’s are in 8? The pink rectangle represents ½. See how many you can fit in the 8 squares.

Evaluate the following problem and create a story problem to go with it. 3 ÷ 1/4 3 1/4

I bought 3 pounds of hamburger meat. Each hamburger uses ¼ of a pound. How many hamburgers can I make? 3 ÷ ¼ = 12 How many 1/4 ‘s are in 3? 3 = = ¼ + ¼ + ¼ + ¼ Describe the pattern in this example.

How many 2/5 portions are in 4? Dulce cut apart 4 pans of brownies for the bake sale. Each package was 2/5 of the pan. How many packages of brownies did Dulce prepare for the bake sale?

How many 2/5 are in 1? How many 2/5 are in 2? Describe the pattern.

You have ¾ of a book left to read. You will read 1/8 of the book each night. How many nights will it take you to finish the book? Use a Visual model and an equation to solve the problem. Fraction Division

Example 3/4 1/8

¾ = ¼ + ¼ + ¼ How many 1/8’s are in ¼? How many 1/8’s are in 2/4? How many 1/8’s are in 3/4?

Tables can also be used to examine patterns. n