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Problem Solving Introduction
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Problem Solving Introduction
🧩 Part 1: Problem-Solving Strategies
1. Which of the following is the FIRST step in systematic problem solving?
Plan your approach
Understand the problem
Execute your solution
Review and reflect
2. What does the Māori value "manawaroa" mean in problem solving?
Speed and efficiency
Perseverance and persistence
Collaboration with others
Using technology
3. Which of these are important problem-solving strategies? (Select all that apply)
Breaking the problem into smaller parts
Using clear mathematical notation
Checking if your answer is reasonable
Giving up if it's too difficult
4. A well-defined problem is one that:
Has multiple possible solutions
Has a clear question and specific answer
Cannot be solved mathematically
Requires group work to complete
✏️ Part 2: Applying Problem-Solving Steps
5. Read this problem: "Sarah has $120 to spend on food for a school event. Pies cost $8 each and sandwiches cost $5 each. She needs to feed 20 people. What combinations of food could she buy?"
Step 1 - Understand: Rewrite this problem in your own words.
6. Step 2 - Plan: What mathematical approach would you use to solve Sarah's problem?
7. Step 3 - Execute: Show your working to find at least one possible solution.
8. Step 4 - Review: How can you check if your answer is reasonable?
🌟 Part 3: Reflection
9. Describe a time when you had to show perseverance (manawaroa) while solving a problem in mathematics or daily life.
10. What will you do differently when you face a difficult problem next time?
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