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A problem-solving investigation to find the price of a small pizza given the price of an extra large pizza. Learn how to use backward reasoning to solve the problem step by step.
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Five-Minute Check (over Lesson 6–6) Main Idea Example 1: Problem-Solving Investigation Lesson Menu
I will choose the best strategy to solve a problem. Main Idea/Vocabulary
VICTOR: I bought a small pizza at Pizza Palace. The price of an extra large pizza is equal to 2 times the price of a small pizza plus $3. If the price of an extra large pizza is $17, how much did I pay for the small pizza? YOUR MISSION: Find the price of a small pizza. Example 1
Understand What facts do you know? • You know that the price of an extra large pizza is $17. • The price of an extra large pizza is equal to 2 times the price of a small pizza plus $3. What do you need to find? • You need to find the price of a small pizza. Example 1
Plan To solve this problem, you can work backward. Example 1
Solve Since subtraction is the opposite of addition, take the price of the extra large pizza and subtract $3. $17 – $3 = $14 Since division is the opposite of multiplication, divide $14 by 2. $14 ÷ 2 = $7 Answer:The cost of a small pizza is $7. Example 1
Check Look back at the problem. Start with the price of a small pizza and multiply by 2. Then add $3. Since ($7 × 2) + $3 = $17, the answer is correct. Example 1
End of the Lesson End Lesson
Five-Minute Check (over Lesson 6–6) Image Bank Math Tool Chest Model Multiplication Equations Resources
A B C D (over Lesson 6–6) Solve using a function table or equation. A baseball hat cost $6. How much would 5 baseball hats cost? A. c = 6n; $30 B.c = 5n; $30 C.c = 6 + n; $11 D. c = 5 + n; $11 Five Minute Check 1
A B C D (over Lesson 6–6) Solve using a function table or equation.Thomas bought 8 more beads than Binta. If Binta bought 7 beads, how many did Tomas buy? A. t = b + 7; 15 B.t = b + 8; 15 C.t = 8b; 56 D. t = 7b; 56 Five Minute Check 2