Pineapple Cake Recipes

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1 Name: Date: Math Quarter 2 Project MS 67/Class: Pineapple Cake Recipes 7.RP.A.2a Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table. Task Part A: There is a recipe for Pineapple Cake (Pineapple Cake Recipe I) that serves 18 people. How would you modify the recipe in order to serve 72 people? Pineapple Cake Recipe I INGREDIENT AMOUNT FOR SERVINGS GIVEN: 18 (18.25 ounce) packages yellow 1 cake Eggs 4 Cups vegetable oil 1 Cans sliced pineapples (12 oz ) 1 Containers frozen whipped 1 (20 ounce) cans crushed 1 pineapples with juice AMOUNT FOR 72 SERVINGS (3.5 ounce) packages instant vanilla pudding mix 1 Show your work in the box below (you may use any strategy you have learned in class)

2 Explain how you found the amounts needed to serve 72 people. Part B Pineapple Cake Recipe II serves 144 people. Figure out what the quantities for each ingredient will be if you want to serve 72 people and only 9 people. Pineapple Cake Recipe 2 INGREDIENT cups pineapple liqueur cups white sugar AMOUNT FOR SERVINGS GIVEN cups pineapple liqueur 4 cups white sugar AMOUNT FOR SERVINGS 72 AMOUNT FOR 9 SERVINGS cups water cups vegetable oil (12 ounce) cans sliced pineapples eggs (18.25 ounce) packages yellow cake 4 cups water 8 cups vegetable oil 8 (12 ounce) cans sliced pineapples 48 eggs 12 (18.25 ounce) packages yellow cake Show your work in the box below and on the following page (Keep your work neat and organized, you may use any strategy you have learned in class)

3 Additional Work Space for Part B:

4 Part C: You ve decided to use the Pineapple Cake Recipe II to make a cake that will serve 30 people. How much sugar will you need? Show your work in the box below (use a proportion) Explain how you determine how much sugar is needed to serve 30 people?

5 Part D: Choose an ingredient that is found in both recipes. Is the ingredient used in the same ratio in both cakes? State the ingredient you are comparing. Draw a graph comparing the number of servings and the amount of the ingredient used. Ingredient: Number of Servings

6 Part D Continued Is the ingredient used in the same ratio in both recipes? Explain how you used your graph to determine your conclusion. Explain what it means to be in the same ratio. Use math vocabulary and give details.

7 Student Name: Class: Quarter 2 Project Pineapple Cake Recipes Rubric CATEGORY Part A Recipe for 72 people All of the ingredients are calculated correctly and accurate work is provided. Most of the ingredients are calculated correctly and accurate work is provided. Some of the ingredients are calculated correctly and little work is provided. Few of the ingredients are calculated correctly and little or no work is provided. Part B Recipe for 72 people and recipe for 9 people All of the ingredients are calculated correctly for 72 people 9 people and accurate work is provided Most of the ingredients are calculated correctly for 72 people 9 people and accurate work is provided Some of the ingredients are calculated correctly for 72 people 9 people and little work is provided Few of the ingredients are calculated correctly for 72 people 9 people and little or no work is provided Part C Serving 30 People (using a proportion) Accurate calculation for the amount of sugar needed to serve 30 people for recipe II. Answer found using a proportion. Proportion is used however a minor calculation error is made for the amount of sugar needed to serve 30 people for recipe II. Accurate calculation found but no proportion is provided OR A proportion is used but there are too many calculation errors. Accurate calculation for the amount of sugar needed to serve 30 people for recipe II. No work was provided. Part D Drawing the graph (Necessary components: Ruler used to construct graph, points are visible, scale is consistent, proper placement of arrow) Graph is drawn accurately using one ingredient found in both recipes Most of the graph is drawn accurately using one ingredient found in both recipes Some of the graph is drawn accurately using one ingredient found in both recipes Little of the graph is drawn accurately using one ingredient found in both recipes Part D - Explanation The explanation Uses math vocabulary and definitions Explains what it means to be proportional based on a graph Is clear, easy to read, and specific Explanation Part A and Part C The following components are included and accurate. Explanation of work for Part A and Part C Use of math vocabulary to support explanation Student includes most of the necessary Student includes most of the necessary Student includes some of the necessary Student includes some of the necessary Student includes few of the necessary Student includes few of the necessary Total: / 24

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