PFC is serving pizza at the Back to School Dance. Help PFC decide how many pizzas to order if they are expecting 150 students. π Assume that each student will eat π of a pizza. Use this information to complete the table below. No. of Pizzas π Serving size = π of a pizza Draw a picture or describe the process for determining the number of servings. No of Servings π 1 How many π pizza servings are in 1 pizza? 2 How many π pizza servings are in 2 pizza? 3 How many π pizza servings are in 3 pizza? 4 How many π pizza servings are in 4 pizza? π π π π 1. How many servings of π of a pizza could they get from 10 pizzas? 2. How many pizzas do they need to order for 150 students if each student gets The process of dividing pizza into servings of π π π π of a pizza? pizza can be written symbolically as: 1 ÷ π π π π Since there are 3 servings of π of a pizza in 1 pizza, we write 1 ÷ π = π π 3. Write an expression using division to find out how many servings of π of a pizza will be in 12 pizzas. π 4. Look at the table above. Do you see a pattern for calculating the number of servings of π of a pizza depending on the number of pizzas? Describe the pattern you see. (Recorder record your groupβs answer on the white board) 5. Write a mathematical expression that describes the pattern you see. π π 6. Create a model using the materials at the table to show how many servings of π of a pizza would be in 1 π pizzas. (Supply Manager you are in charge of the making the model with the input from your team). Explain your answer using your knowledge of the number of servings in 1 pizza. π π 7. Write an expression for finding out how many servings of π of a pizza would be in 1 π pizzas. 8. Use arithmetic to calculate the answer. Compare your answer to your model in question 6. The treasurer notices that the pizzeria cuts each pizza into 8 slices. She suggests that they allow each student to have 3 8 of pizza. Use this information to complete the table. Include partial servings in your answer. No. of Pizzas Serving size = π π of a pizza Draw a picture or describe the process for determining the number of servings. No of Servings Written as a mixed number No of Servings Written as an improper fraction π 1 How many π pizza servings are in 1 pizza? 2 How many pizza π servings are in 2 pizzas? 3 How many pizza π servings are in 3 pizzas? 5 How many pizza π servings are in 5 pizzas? π π π 1. About how many pizzas should they order for all 150 students if each student is served π 2 π π π pizza? Explain your answer. 2 2. With a serving size of π pizza, there are 2 3 servings in one whole pizza: 1 ÷ π = 2 3 . We can rewrite the mixed 8 8 π number as an improper fraction 3. Do you notice a relationship the between the unit rate of 3 and the divisor π ? How would you describe the relationship? 3. Using the information above, how many servings of π π π pizza will be in 4 pizzas? Write an expression to calculate this. π 4. Write an expression to find how many servings of π pizza will be in π pizza. Explain why your answer makes sense. π 5. Explain how to divide a number by a fraction like π . 6. Draw a picture to show how many servings of size π π 1 2 would be in 1 pizzas.
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