Big Idea 3 · Topic 3.3 · Exercise 2
Fix the Pizza Math
25 minutes - 5 broken expressions - name the goal, pick the operator, fix it
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The cases, from your handoutNot recorded
The same cases as your handout, in the same order.
Scenario 1 · Foundational
Goal: the TOTAL number of slices from 4 pizzas cut into 8 slices each. The planner wrote: total <- 4 + 8, and got 12.
What is the goal, and which operator matches it (+, -, *, /, MOD):
The corrected expression and its single value:
Enrichment - the order-of-operations or division-type subtlety:
Scenario 2 · Core
Goal: the LEFTOVER slices when 26 slices are shared equally among 5 friends. The planner wrote: leftover <- 26 / 5, and reported 5.2 slices left over.
What is the goal, and which operator matches it (+, -, *, /, MOD):
The corrected expression and its single value:
Enrichment - the order-of-operations or division-type subtlety:
Scenario 3 · Core
Goal: each friend's EXACT share when 26 slices are split among 5 friends, fractional slices allowed. The planner wrote: share <- 26 MOD 5, and reported a share of 1.
What is the goal, and which operator matches it (+, -, *, /, MOD):
The corrected expression and its single value:
Enrichment - the order-of-operations or division-type subtlety:
Scenario 4 · Challenge
Goal: evaluate 2 * 6 MOD 4 correctly. The planner insists the answer is 4, computing 6 MOD 4 = 2 first and then 2 * 2.
What is the goal, and which operator matches it (+, -, *, /, MOD):
The corrected expression and its single value:
Enrichment - the order-of-operations or division-type subtlety:
Scenario 5 · Challenge
Goal: evaluate 17 / 5 on the AP reference sheet. The planner claims 17 / 5 = 3, reasoning that 'code always drops the decimal.'
What is the goal, and which operator matches it (+, -, *, /, MOD):
The corrected expression and its single value:
Enrichment - the order-of-operations or division-type subtlety:
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