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Mastering Problem Solving: The Four-Step Plan Explained

This lesson introduces the "Four-Step Problem Solving Plan," a systematic approach to tackle challenges effectively. Learn how to explore the problem, plan your solution, execute it, and examine the results for accuracy. This course builds your skills in making educated guesses (conjectures) and utilizing inductive reasoning based on patterns or past events. Through practical examples, such as calculating the cost of pizzas with discounts and identifying sequences in number patterns, you will discover how to apply these strategies in real-world scenarios.

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Mastering Problem Solving: The Four-Step Plan Explained

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  1. Lesson 1-1 Pages 6-10 The “Four-Step Problem Solving Plan”. • Explore (Read) • Plan (Decide) • Solve (Do) • Examine (Check) Lesson Check 1-0

  2. What you will learn! How to solve problems using the four-step plan.

  3. Vocabulary Conjecture (educated guess) Inductive reasoning (guess based on pattern or past events)

  4. The “Four Steps”: • Explore (Read): Get a general understanding of the problem. • Plan (Decide): Make a plan to solve the problem. • Solve (Do): Carry out your plan. • Examine (Check): Check if you answer makes sense.

  5. Problem Solving Strategies (Plans)

  6. Example 1: The price of a large cheese pizza at Paul’s Pizza Place is $9.25. You receive a $0.50 discount for each additional pizza ordered, up to 10. So, one pizza costs $9.25, two pizzas cost $8.75 each, three pizzas cost $8.25 each, etc. If you need 8 pizzas for a party, what is the cost per pizza? $5.75

  7. Example 2: Find the next term in 1, 4, 16, 64, 256, … 1,024

  8. Example 3: The chart shows the distance of selected planets from the Sun. About how much farther is it from Earth to the Sun than from Mercury to the Sun? 57 million 36,000,000 67,240,000 92,900,000 141,710,000

  9. Page 9 Guided Practice #’s 3-8 Link to Pre-Made Lesson

  10. Read: Pages 6-8 with someone at home and study examples!

  11. Homework: Pages 9-10 #’s 9-25 #’s 29-36 Lesson Check 1-1

  12. Page 724 Lesson 1-1

  13. Conjecture An educated guess.p7

  14. Inductive reasoning Reasoning based on a pattern of examples or past events.p7

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