Use the Color Tiles

TEACHERS:
Tetreault / SUBJECT:
7th Grade Math
STANDARD:
· 7.RP.A.1: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction (1/2)/(1/4) miles per hour, equivalently 2 miles per hour.
OBJECTIVE (EXPLICIT):
· TSW calculate unit rates to figure out recipes and serving sizes using colored tiles and measuring spoons.
EVIDENCE OF MASTERY (MEASURABLE):
SUB-OBJECTIVES, SWBAT (SEQUENCED FROM BASIC TO COMPLEX):
· I can calculate unit rates.
· I can use proportions to solve for equivalent fractions.
KEY VOCABULARY:
Unit Rates
Fractions
Proportions / MATERIALS:
Party Baking Worksheet
Color Tiles
Measuring cups and spoons
Sand/dirt/rice (or anything that can be put in a measuring cup)
ENGAGE (MAKE CONTENT AND LEARNING RELEVANT TO REAL LIFE AND CONNECT TO STUDENT INTEREST)
BEFORE / TEACHER WILL:
What do you know about unit rates? When would you use unit rates?
What are proportions?
Teacher: Talk about recipes and cooking. Have you had to increase or decrease the size of your recipes? What did you have to do? (This is just to get them thinking out increasing/decreaseing the serving amount.)
Pass out the worksheet to each group. Give a measuring cup to each group. Also Color tiles to each group.
Have in a couple places in the room a bucket of sand/dirt/rice. They can go up to the buckets to measure out and formulate a plan. (This is good for co-teaching.) / STUDENT WILL:
Think, share
Write the responses on the board.
Think, Share
Write the responses on the board.
CO-TEACHING STRATEGY IF APPLICABLE
DURING / TEACHER WILL:
Pose this question:
You are frosting the top of a cake that is 24 square inches. You remember you have frosted a similar shaped cake that was 48 square inches and used 6 pints of frosting. How many pints will you need to frost the 24 square inch cakes?
Have them go through the worksheet.
A friend gave you a recipe for confetti cake cupcakes that makes 24 servings. Determine the amount of each ingredient needed for your family (6 servings), for a birthday party (48 servings), for
your class (32 servings), and for a bake sale (500 servings). Record your measurements as fractions (for example, use 34 rather than a decimal 0.75).
Have your students work on the worksheet. 10mins.
Pull the class back together and talk about the different ways you could solve for each serving size.
Don’t give them the ways. Have them share. You should get answers like: proportions, converting to unit rates, converting them to decimals, or using the sand/dirt/rice. There are many different options.
Goal: Discussing the ways will help students to try different ways and come up with an easier way on their own.
Give them 20 more min to work through the rest of the worksheet. Trying the other ways. / STUDENT WILL:
Work through the first four questions.
Try to answer the questions.
Share ways with classmates.
CO-TEACHING STRATEGY IF APPLICABLE
AFTER / TEACHER WILL:
Talk about this question:
What do you know about unit rates? When would you use unit rates?
A friend gave you a recipe for confetti cake cupcakes that makes 24 servings. Determine the amount of each ingredient needed for your family (6 servings), for a birthday party (48 servings), for
your class (32 servings), and for a bake sale (500 servings). Record your measurements as fractions (for example, use 3/4 rather than a decimal 0.75).
Exit Ticket:
Now if you opened your own store and you sell 2,000 confetti cup cakes each day. How much of each ingredient would you need? / STUDENT WILL:
Share what they know.
Refer back to this question, and talk about the one serving size making the connection about unit rates and being able to use this to calulate any serving size.
Have students individuallly answer the question.
CO-TEACHING STRATEGY IF APPLICABLE

Name:______Date:______Period:__

Party Baking

Use the color tiles.

1. You are frosting the top of a cake that is 24 square inches. You remember you have frosted a similar shaped cake that was 48 square inches and used 6 pints of frosting. How many pints will you need to frost the 24 square inch cakes?

Use the color square tiles to create a rectangle with 48 tiles.
Write it as a ratio between frosting and the size of the cake. (Write ratio as fraction)

Based on the ratio, how many square feet will 1 pint of frosting cover? (Divide your rectangular tiles into equal groups.)
What is the new ratio?

Now, how many pints would you need to cover 24 square inches?

(What is the ratio)

Use the color tiles to try on on your own.

2. You are baking sugar cookies and you are frosting each of them. If you make 42 cookies how much frosting in ounces will you need. Remembering back to your mom’s birthday you baked 21 cookies using 7 ounces of frosting. How much frosting do you need for 42 cookies?

Use the color square tiles to create a rectangle with 21 tiles.
Write it as a ratio between frosting and the size of the cake. (Write ratio as fraction)

Based on the ratio, how many cookies will 1 ounce of frosting cover? (Divide your rectangular tiles into equal groups.)
What is the new ratio?

Now, how many ounces would you need to cover 42cookies?
(What is the ratio)

3. What are you noticing when you are dividing them into groups? ______

4. What conclusions can you say about calculating unit rates? ______

Now try manipulating this recipe.

A friend gave you a recipe for confetti cake cupcakes that makes 24 servings. Determine the amount of each ingredient needed for your family (6 servings), for a birthday party (48 servings), for your class (32 servings), and for a bake sale (500 servings). Record your measurements as fractions (for example, use 3/4 rather than a decimal 0.75).

Ingredients / One Serving / Six Servings / 32 Servings / 48 Servings / 500 Servings
4 egg whites from large eggs
1 cup milk
1 teaspoon vanilla
1/2 teaspoon almond extract
3 cups cake flour
1 1/2 cups sugar
4 teaspoons baking powder
1/2 teaspoon salt
4 tablespoons unsalted butter, very soft

TEACHER KEY

Name:______Date:______Period:__

Party Baking

Use the color tiles.

a. Use the color square tiles to create a rectangle with 48 tiles.

b. Write it as a ratio between frosting and the size of the cake. (Write ratio as fraction)

6 pints of frosting48 square inches of cake

c. Based on the ratio, how many square feet will 1 pint of frosting cover? (Divide your rectangular tiles into equal groups.)

d. What is the new ratio?

1 pint of frosting8 square inches of cake

e. Now, how many pints would you need to cover 24 square inches?

(What is the ratio)

Use the color tiles to try on on your own.

a. Use the color square tiles to create a rectangle with 21 tiles.

b. Write it as a ratio between frosting and the size of the cake. (Write ratio as fraction.)

c. Based on the ratio, how many cookies will 1 ounce of frosting cover? (Divide your rectangular tiles into equal groups.)

d. What is the new ratio?

e. Now, how many ounces would you need to cover 42cookies?

f. (What is the ratio)

3. What are you noticing when you are dividing them into groups? ______

4. What conclusions can you say about calculating unit rates? ______

Now try manipulating this recipe.

Ingredients
4 egg whites from large eggs
1 cup milk
1 teaspoon vanilla
1/2 teaspoon almond extract
3 cups cake flour
1 1/2 cups sugar
4 teaspoons baking powder
1/2 teaspoon salt
4 tablespoons unsalted butter, very soft / One Serving / Six Servings / 32 Servings / 48 Servings / 500 Servings