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Pizza Portions for Sue's Birthday Party

Determine the equal-sized portions of a pizza shared by 6 people at Sue's birthday party. Use models to represent the quotient and discuss solutions with a neighbor.

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Pizza Portions for Sue's Birthday Party

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  1. Do Now: • Take out your H.W. and leave on desk. Sue is having a birthday party with snacks and activities for her guests. At one table, 6 people are sharing ¾ of a pizza. What equal sized portions of the whole pizza will each of the 6 people receive? Use a model to represent the quotient. 2. When you have finished solving, turn and talk to your neighbor and discuss your solution and model.

  2. Today’s Objective: • I will be able to: determine and calculate the value of a ratio in a real world relationship • So I can: understand the relationships between ratios and fractions and determine if 2 ratios are equivalent • I will demonstrate my understanding by reading and independently writing the solutions to at least 8 out of 12 real world problems using my white boards.6.RP.A.2

  3. “math language” Vocabulary: • value • associated ratio • tape diagram • fraction • equivalent ratio

  4. Pg. 24 Example #2 The duration of two films are modeled below 7 5 5 7 7 5

  5. Pg. 25 Exercise 1 Sammy and Kaden went fishing using live shrimp as bait. Sammy brought 8 more shrimp than Kaden brought. When they combined their shrimp, they had 32 shrimp altogether. a. How many shrimp did each boy bring? If I take the 8 extra off of Sammy, then I need to take 8 off of 32. This tells me now that both Sammy and Kaden brought the same amount, but their total is now 24 8 Sammy Kaden k 32 k If 2 groups of k =24 then 1 group of k = 12 (24 ÷ 2 = k = 12) If k=12 then Kaden brought 12 shrimp, and if Sammy has 8 more than he brought 20 shrimp (12 + 8)

  6. b. What is the ratio of the number of shrimp Sammy brought to the number of shrimp Kaden brought? Sammy: 20 Kaden: 12 Ratio of Sammy: Kaden is 20:12 c. Express the number of shrimp Sammy brought as a fraction of the number of shrimp Kaden brought.

  7. d. What is the ratio of the number of shrimp Sammy brought to the total number of shrimp? Sammy: 20 total: 32 Ratio of Sammy: Total is 20:32 e. What fraction of the total shrimp did Sammy bring?

  8. Rapid Problems: On your whiteboards you will answer: A food company that produces peanut butter decides to try out a new version of its peanut butter that is extra crunch, using twice the number of peanut chunks as normal. They company hosts a sampling of its new product at grocery stores and finds that 5 out of every 9 customers prefer the new extra crunchy version. a. The ratio of number preferring new extra crunchy to total number surveyed is: b. The ratio of number preferring regular crunchy to the total number surveyed is: c. The ratio of number preferring regular crunchy to number preferring new extra crunchy is: d. The ratio of number preferring new extra crunchy to number preferring regular crunchy is: Use the value of the ratio to answer the following statements: a. The number preferring new extra crunchy is ____ of the total number surveyed. b. The number preferring regular crunchy is ____ of the total number surveyed. c. The number preferring regular crunchy is ____ of those preferring new extra crunchy. d. The number preferring new extra crunchy is ___ of those preferring regular crunchy.

  9. Discussion pg. 28 #1 and #2 • Take 3 minutes and discuss with the person sitting next to you. • Take 3 minutes and discuss with your group. • Take 6 minutes and discuss as a class. 1. Maritza is baking cookies to bring to school and share with friends on her birthday. The recipe requires 3 eggs for every 2 cups of sugar. To have enough cookies for all of her friends, Maritza determined she would need 12 eggs. If her mom bought 6 cups of sugar, does Martiza have enough sugar to make the cookies? Why or why not? Maritza will NOT have enough sugar to make all the cookies because she needs 𝟖 cups of sugar and only has 𝟔 cups of sugar. 2. Hamza bought 8 gallons of brown paint to paint his kitchen and dining room. Unfortunately, when Hamza started painting, he thought the paint was too dark for his house, so he wanted to make it lighter. The store manager would not let Hamza return the paint, but did inform that if he used ¼ of a gallon of white paint mixed with 2 gallons of brown paint, he would get the shade of brown he desired. If Hamza decided to take this approach, how many gallons of white paint would Hamza have to buy to lighten the 8 gallons of brown paint? Hamza would need 𝟏 gallon of white paint to make the shade of brown he desires.

  10. How do you feel? topic.

  11. Pg. 29 Circle any equivalent ratios. Then, find the value of the following ratios, leaving your answer as a fraction. Ratio: 1:2 Value of the ratio: Ratio 5:10 Value of the ratio: Ratio 6:16 Value of the ratio: Ratio 12:32 Value of the ratio: What do you notice about the equivalent ratios? Equivalent ratios have the same value of the ratio.

  12. Pg. 29 discussion There are no counterexamples because the theorem is always true

  13. Answer on your whiteboards

  14. Answer on your whiteboards

  15. How do you feel? topic.

  16. Ticket to Go Alyssa’s extended family is staying at the lake house this weekend for a family reunion. She is in charge of making homemade pancakes for the entire group. The pancake mix requires 2 cups of flour for every 10 pancakes. Write the ratio to show the relationship between the number of cups of flour and the number of pancakes made. Determine the value of the ratio.

  17. Tonight’s Homework Take home quiz is due by Monday.

  18. Accommodations • Read or reread presentation or activity directions, as needed or after prompting • Use examples to model and act as a guide for emerging learners

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