Joy the Baker Rationalizing in Baking Name: Block: Criterion A: Knowing and Understanding Beginning (1-2) Developing (3-4) Accomplished (5-6) Exemplary (7-8) select appropriate mathematics when solving simple in familiar situations select appropriate mathematics when solving more complex in familiar situations select appropriate mathematics select appropriate mathematics when when solving challenging in solving challenging in both familiar situations familiar and unfamiliar situations generally solve these generally solve these generally solve these generally solve these Part A: If you are able to answer the following questions, showing all of your steps to explain your answer in detail, you will receive a Level 2. Joy the Baker is well a baker! In particular she makes terrific, rectangular chocolate fudge cakes that she sells in her bakery. Every morning, she gets up to bake 10 cakes to sell in pieces during the day. The ingredients she uses to make the cakes are listed below: 2 ¼ cups flour 2 teaspoons baking soda ½ teaspoon salt ¼ cup melted butter 2 ½ cups brown sugar 3 eggs 1 ½ teaspoons vanilla 3 (1 ounce) squares of chocolate 3/8 cup sour cream ¼ cup milk 1 ¾ cup icing sugar 1. What is the TOTAL volume of DRY ingredients in CUPS? Give answer as an improper or mixed fraction. (Note: 1 teaspoon = 2/100 cups)
2. List the DRY ingredients on a number line from smallest to largest in CUPS. 3. Today, a customer has come into request a small special cake that uses a quarter of the WET ingredients. How will that change the amounts of WET ingredients listed in the recipe? Part B: If you are able answer the following questions, showing all of your work and processes correctly, you will achieve a Level 4. 4. Joy the Baker would like to make some precise changes to the measurements in her recipe. In order to do so, she must convert her recipes to measurement in the metric system (ml). Knowing what you know below, convert all measurements (except the eggs) to ml to the best of your ability. Show your work. 1 cup = 236.588 ml 1 ounce = 27.5735 ml 1 teaspoon = 4.92892 ml Write your new ingredient amounts in the spaces provided on the next page.
Chocolate Fudge Cake Recipe in ml ml flour ml vanilla ml baking soda ml of chocolate ml salt ml sour cream ml melted butter ml milk ml brown sugar ml icing sugar 3 eggs (Without using a calculator. Show all of your steps!) 5. Joy would like to add 432.64 ml of MELTED BUTTER to her recipe. How would this change the amount of MELTED BUTTER in her recipe in ml? 6. Joy would like to remove 50.42 ml of MILK from her recipe. How would this change the amount of MILK in her recipe in ml? 7. Joy would like increase the amount of BROWN SUGAR by 1.3 times. How would this change the amount of BROWN SUGAR in ml?
Part C: If you are able answer the following questions, showing all of your work and processes correctly, you will achieve between a Level 5 up to a Level 8. Each day, Joy the Baker sells the 10 delicious, rectangular fudge cakes that she bakes. She sells 1/8 of a cake for $4.35 apiece. As part of a new creative campaign, she has decided to she wants to cut her sheet cakes into different patterns. 8. Joy bakes 10 cakes per day and sells 1/8 of a cake for $4.35. It costs $6.40 in baking supplies to make just 1 cake. How much cake must she sell in order to make back baking supply costs? 9. Design a new pattern for cutting the cakes into 8 pieces that may not include rectangles or squares, but any other shape you wish. Show your decided design below. ALSO, explain whether your new pattern for cutting cakes is accurate (that each piece contains the same amount of cake) and makes sense. Why or why not?
10. In order to accommodate different appetites, she decides another method of cutting cakes will be to cut them into 4 different sized pieces. Create a design that divides a rectangular cake up into 4 unequal pieces (no shape restrictions). Knowing that an eighth of a cake costs $4.35, how much do the other-sized pieces in the cake cost?
Rectangle Shaped Chocolate Cakes to Play With