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Published byEmery Moore Modified over 9 years ago
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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: 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?
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In this lesson, you will learn how to scale recipes by applying unit rates.
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Let’s Review Unit Rate How many of a given quantity that you have “for every” or “per” another quantity.
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A Common Mistake Units of MassUnits of Volume gramscups ouncesteaspoons poundstablespoons kilogramsquarts grainsgallons Confusing units of mass with units of volume.
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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
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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
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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
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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
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In this lesson, you have learned how to scale recipes by using unit rates.
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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
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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?
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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.
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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
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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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