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When cooking or baking, how do you make changes to the amount of ingredients a recipe calls for without making the food taste differently? For example:

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Presentation on theme: "When cooking or baking, how do you make changes to the amount of ingredients a recipe calls for without making the food taste differently? For example:"— Presentation transcript:

1 When cooking or baking, how do you make changes to the amount of ingredients a recipe calls for without making the food taste differently? For example: Ted is baking muffins for his class party. The recipe calls for a cup of butter, but Ted accidentally put a whole cup of butter in the mix. How can he save the muffins?

2 In this lesson, you will learn how to scale recipes by applying unit rates.

3 Let’s Review Unit Rate How many of a given quantity that you have “for every” or “per” another quantity.

4 A Common Mistake Units of MassUnits of Volume gramscups ouncesteaspoons poundstablespoons kilogramsquarts grainsgallons Confusing units of mass with units of volume.

5 A Common Mistake V = 2 gal M = 3 oz D = 3 oz 2 gal V = 2 gal M = 5 oz D = 5 oz 2 gal V = 4 gal M = 3 oz D = 3 oz 4 gal V = 1 gal M = 5 oz D=5oz/gal Confusing what mass, density, and volume are

6 A Common Mistake IngrediientDensity (grams per milliliter) Water1 Sugar0.8 Flour0.5 Salt1.2 Forgetting about the relationship between mass, density, and volume D = M / V M = VD V = MD

7 Core Lesson Blueberry Muffins (makes 4 large muffins) 2 cups flour 1 tsp vanilla 1 large egg 1/8 cup butter 3/8 cup blueberries 3/4 cup sugar Blueberry Muffins (makes 4 large muffins) 2 cups flour 1 tsp vanilla 1 large egg 1/8 cup butter 3/8 cup blueberries 3/4 cup sugar blueberries:butter 3 cups blueberries per 1 cup of butter

8 Core Lesson Blueberry Muffins (makes 4 large muffins) 2 cups flour 1 tsp vanilla 1 large egg 1/8 cup butter 3/8 cup blueberries 3/4 cup sugar Blueberry Muffins (makes 4 large muffins) 2 cups flour 1 tsp vanilla 1 large egg 1/8 cup butter 3/8 cup blueberries 3/4 cup sugar New : Original 3 cups of blueberries per 1 cup of butter

9 In this lesson, you have learned how to scale recipes by using unit rates.

10 Guided Practice How many cups of sugar are needed if a whole cup of blueberries is used in the mix? Blueberry Muffins (makes 4 large muffins) 2 cups flour 1 tsp vanilla 1 large egg 1/8 cup butter 3/8 cup blueberries 3/4 cup sugar Blueberry Muffins (makes 4 large muffins) 2 cups flour 1 tsp vanilla 1 large egg 1/8 cup butter 3/8 cup blueberries 3/4 cup sugar

11 Extension Activities Research a recipe for a baked good of your choice. Pretend that you accidentally added 1 cup of one of one of the ingredients (you choose which one). Find the within-recipe ratios (or unit rates) of all of the other ingredients compared to the ingredient you made a mistake with. Find the between recipe ratio for your original recipe and new recipe. Write a new recipe card. How many people will your new recipe serve?

12 Research at least 3 different recipes for blueberry muffins. Which recipe would have the most blueberries per bite? Use calculations, tables, graphs, and diagrams to present your results.

13 Quick Quiz  This is Ted’s recipe for blueberry muffins. How many cups of butter are needed if a whole cup of sugar is used in the mix? Blueberry Muffins (makes 4 large muffins) 2 cups flour 1 tsp vanilla 1 large egg 1/8 cup butter 3/8 cup blueberries 3/4 cup sugar Blueberry Muffins (makes 4 large muffins) 2 cups flour 1 tsp vanilla 1 large egg 1/8 cup butter 3/8 cup blueberries 3/4 cup sugar

14 Quick Quiz 2) This is Ted’s recipe for blueberry muffins. How many cups of blueberries are needed if a whole cup of sugar is used in the mix? Blueberry Muffins (makes 4 large muffins) 2 cups flour 1 tsp vanilla 1 large egg 1/8 cup butter 3/8 cup blueberries 3/4 cup sugar Blueberry Muffins (makes 4 large muffins) 2 cups flour 1 tsp vanilla 1 large egg 1/8 cup butter 3/8 cup blueberries 3/4 cup sugar


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