- 62 Views
- Uploaded on

Download Presentation
## PowerPoint Slideshow about ' Ratios and Proportions' - idola-swanson

**An Image/Link below is provided (as is) to download presentation**

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript

An example of how to introduce the notion of a ratio:

- Illustrative Mathematics6.RP.1 Task example:
- Games at recess

Anaya, Şahin, White

This recipe has a ratio of 3 cups of flour to 4 cups of sugar.

- How many cups of flour would you use for 1 cup of sugar?
- Answer this question using as many different methods as possible.

Anaya, Şahin, White

Tape Diagram Representation

1 cup of flour

1 cup of flour

1 cup of flour

¾ cups of sugar

Author\'s Name IM&E CCSSM National PD

2

3

Cups

Cups

1

2

3

4

1

2

3

Cups of flour

Cups of sugar

1

2

3

4

Double number line representations don’t work as well when the units are the same.

Author\'s Name IM&E CCSSM National PD

Changing the problem slightly, a double number line becomes an appropriate representation:

This recipe calls for 3 tablespoons of butter for every 4 cups of sugar. How many tablespoons of butter would you use for 1 cup of sugar?

0 tbs

3 tbs

Tablespoons

Cups

4 c

0 c

Author\'s Name IM&E CCSSM National PD

Using double number lines we directly translate the problem into asking: what is 3 /4?

(Standard 5.NF.3) ¾ tbs of butter for every cup of sugar.

0 tbs

? tbs

3 tbs

Tablespoons

Cups

4 c

0 c

1 c

Author\'s Name IM&E CCSSM National PD

This recipe has a ratio of 3 cups of flour to 4 cups of sugar.

- How many cups of sugar would you use for 1 cup of flour?

Solve this problem using a method you did not use for the previous question.

Anaya, Şahin, White

This recipe calls for ¾ cup of flour for every ½ cup of sugar. How many cups of flour would you use for every 1 cup of sugar?

Answer this question using as many different methods as possible.

7th Grade Unit Rate ProblemAnaya, Şahin, White

This recipe calls for ¾ cup of flour for every ½ cup of sugar. How many cups of flour would you use for every 1/4 cup of sugar?

Answer this question using as many different methods as possible.

Anaya, Şahin, White

Suppose Abby’s orange paint is made by mixing 1 cup red paint for every 3 cups yellow paint and Zack’s orange paint is made by mixing 3 cups red for every 5 cups yellow. Whose paint is yellower?

6.RP.3 and 7.RP.3Anaya, Şahin, White

Suppose Abby makes orange paint by mixing 1 cup red paint for every 3 cups yellow paint. She can only find 100 cups of the red paint, and as much of the yellow paint as she likes. How many cups of orange paint can she make?

Answer this question using as many different methods as possible.

7th Grade ExtensionAnaya, Şahin, White

Download Presentation

Connecting to Server..