Popify
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1. The document introduces the concept of "pop-ifying" and has students explore patterns in tables to develop rules for expressions using the symbol ⊙. 2. Students are split into expert groups to investigate expressions and come up with general rules for ⊙, then explain their rules to their initial groups. 3. The goal is for students to express rules for ⊙ in terms of arithmetic operations like addition and subtraction through exploring patterns.
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RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
Popify
- 1. POP ‘Rules’ Before we investigate some rules about pop-ifying, we need to know what it means to pop-ify! Get into groups of 4. Explore the table below. ⊙ 1 2 3 4 5 6 7 8 9 1 3 4 5 6 7 8 9 10 11 2 5 6 7 8 9 10 11 12 13 3 7 8 9 10 11 12 13 14 15 4 9 10 11 12 13 14 15 16 17 5 11 12 13 14 15 16 17 18 19 6 13 14 15 16 17 18 19 20 21 7 15 16 17 18 19 20 21 22 23 8 17 18 19 20 21 22 23 24 25 9 19 20 21 22 23 24 25 26 27 Write an expression for a⊙b. Explain how you reasoned to this expression. a⊙ b = Evaluate: ! 10⊙5! 21⊙23! a⊙a ✦ Number yourselves off 1 to 4. Get into your expert groups. ✦ In your expert group, investigate the given expressions and come up with a general rule for each. ✦ When instructed to do so, return to your initial group and explain the rules you discovered.
- 2. ✦ Using the concept of pop-ifying, ✦ Using the concept of pop-ifying, investigate each expression and develop investigate each expression and develop a general rule expressed in terms of ⊙. a general rule expressed in terms of ⊙. ✦ Explain your reasoning. ✦ Explain your reasoning. ( a + c ) (b + d ) ( a × k ) (b × k ) ( a + k ) (b + k ) a b k k ( a − c ) (b − d ) ( a − k ) (b − k ) ✦ Using the concept of pop-ifying, ✦ Using the concept of pop-ifying, investigate each expression and develop investigate each expression and develop a general rule expressed in terms of ⊙. a general rule expressed in terms of ⊙. ✦ Explain your reasoning. ✦ Explain your reasoning. a0 even even 0a even odd a 1 odd even 1 a odd odd