PIZZA VALUE RIME For remote learning RIME PIZZA

PIZZA VALUE: RIME For remote learning

RIME : PIZZA VALUE Key premise: In this task, students will TEACHER GUIDE: TASK OVERVIEW Define value in a purchase as a cost per area. Calculate and compare the value of different purchases. Task requirements: Students will be required to Use a mathematical model to find the value of a purchase. Compare the value of multiple products as a cost per area. Key skills, strategies and understandings: Students will be able to Calculate the area of a circle using the diameter. Calculate the value relationship between area and cost.

TEACHER GUIDE: REMOTE LEARNING CHALLENGES AND STRATEGIES Asynchronous delivery Students collaborate and communicate with each other Buddy students up to work together via email or across communication platforms. Use chat features in Webex for students to work together. Use online platforms for students to collaborate on journaling – e. g. Google Docs, One. Note. They then use these results to determine compare the value of different pizza sizes and varieties, and answer different scenario problems. Student feed back their understanding to the teacher Use online tools such as Google Forms – students submit answers to questions in their own time. Use of school LMS systems – submission of ideas. Use Google Docs or One. Note strategy mentioned above – teacher will be able to see what students are doing in real time and provide feedback. Students can be encouraged to collaborate and work together in remote learning environment by using these strategies. Students If using offline hard copy document their journals, students can take work photos and send these to the teacher. This task requires students to calculate the area of different sized pizzas and then use the price to determine the value (cost per area). Students submit their work for teacher feedback Students submit their completed journal through either email or a communication platform.

TEACHER GUIDE: REMOTE LEARNING CHALLENGES AND STRATEGIES For this task, students are encouraged to collaborate by: sharing results in pairs or groups of 4 via virtual communication e. g. Webex combining results in their pair or group of 4. documenting their answers and work using tables. indicating their understanding by recording reflections. submitting their answers, tables, any working and their reflections to the teacher.

TEACHER GUIDE: LINKS TO THE CURRICULUM Key learning outcomes: § Calculate the area of a circle using the diameter. § Calculate the value relationship between area and cost. What would be some common misconceptions or difficulties that teachers need to keep an eye out for? § Students may forget to halve the diameter before calculating the area. § Students may require support with translating the value measurement into a sentence. For example, a value of 100 means “a dollar buys 100 square centimetres of pizza”. Curriculum strand(s) Measurement & Geometry Curriculum substrand(s) Geometric Reasoning Level addressed 10 Apply logical reasoning, including the use of congruence and similarity, to proofs and numerical exercises involving plane shapes [VCMMG 345]

TEACHER GUIDE: ANSWER GUIDE Value – area per dollar Pizza type Pizza size Price Value Hawaiian Medium Large Family 23 30. 5 38 415 731 1134 $6. 00 $18. 90 69 73 60 Supreme Medium Large Family 23 30. 5 38 415 731 1134 $9. 00 $12. 00 $20. 90 46 61 54 Margarita Medium Large Family 23 30. 5 38 415 731 1134 $4. 10 $7. 30 $14. 70 101 100 77 Pepperoni Medium Large Family 23 30. 5 38 415 731 1134 $5. 50 $10. 00 $18. 90 75 73 60

TEACHER GUIDE: ANSWER GUIDE Pizza type Pizza size Price Value Hawaiian Medium Large Family 23 30. 5 38 415 731 1134 $6. 00 $18. 90 $1. 45 $1. 37 $1. 67 Supreme Medium Large Family 23 30. 5 38 415 731 1134 $9. 00 $12. 00 $20. 90 $2. 17 $1. 64 $1. 84 Margarita Medium Large Family 23 30. 5 38 415 731 1134 $4. 10 $7. 30 $14. 70 $0. 99 $1. 00 $1. 30 Pepperoni Medium Large Family 23 30. 5 38 415 731 1134 $5. 50 $10. 00 $18. 90 $1. 33 $1. 37 $1. 67

STUDENT SLIDE 1: PIZZA VALUE The problem: Have you ever ordered a pizza before? What is good value for a pizza? In this activity you’re going to use maths to measure value and figure out which pizza size gives the best value for money. Learning intentions Define value in a purchase as a cost per area. Calculate and compare the value of different purchases. Success criteria Calculate the area of different sized pizzas. Calculate the value of a pizza as a cost per area. Compare the value of different pizzas. Make decisions based on value in different pizza scenarios. Equipment needed Pen and paper Calculator

STUDENT SLIDE 2: PIZZA VALUE Let’s have a talk about pizza! • Have you ever eaten a pizza before? • Has everyone in your group/class eaten a pizza before? • How many pizza did you buy and for how many people? • What is an average one-person serving of pizza? • What is the most popular size of pizza in your group/class? Why? • How much do pizzas usually cost? • What are the popular toppings?

STUDENT SLIDE 3: PIZZA VALUE The purpose of this activity is to figure out: Which pizza size gives you the best value for money? How can you measure value? What is value? We want to make a mathematical model for calculating value. How are you going to account for all the different brands and prices and toppings that are out there?

STUDENT SLIDE 4: PIZZA VALUE There are two main ways we can measure "value": 1. How much pizza do you get for each dollar you spend? 2. How much do you have to pay for a fixed area of pizza? Let's choose the first way, because it's easier for us to adjust how much we spend instead of how much area a pizza has.

STUDENT SLIDE 5: PIZZA VALUE Which size gives the best value – the greatest area per dollar?

STUDENT SLIDE 6: PIZZA VALUE How to calculate value

STUDENT SLIDE 7: PIZZA VALUE Now that you can calculate the value of a pizza, copy and complete this Pizza. type Pizza size Price Value table Hawaiian Medium Large Family 23 30. 5 38 $6. 00 $18. 90 Supreme Medium Large Family 23 30. 5 38 $9. 00 $12. 00 $20. 90 Margarita Medium Large Family 23 30. 5 38 $4. 10 $7. 30 $14. 70 Pepperoni Medium Large Family 23 30. 5 38 $5. 50 $10. 00 $18. 90

STUDENT SLIDE 8: PIZZA VALUE What did you learn after filling out the table? • Which pizza had the best value? • Which pizza had the worst value? Now on the next slide there are some general questions about ordering pizzas in different scenarios. See if the information from your table changes how you make any of the decisions.

STUDENT SLIDE 9: PIZZA VALUE 1. If each member in a family of four eats one medium pizza, what is the cheapest way for them to buy pizza? How much could they save? What compromises have to be made? 2. If the whole class wants to buy several pizzas to share, how many pieces would we need to provide from each pizza, and how much would each student need to pay? What savings could be made by purchasing larger sizes? 3. Some shops offer a “four-corners" pizza, usually in a large size. (This means four different varieties on one pizza. ) What advantages does this offer to: a)the shop-owner? , and b)the customer? 4. How does the price of sharing a large pizza compare with other types of take-away foods?

REFLECTION Does the information in your table change how you make decisions about ordering pizzas? Why or why not? What does having a “value” of 100 mean? Which pizza size is the best value?

EXTENSION