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1-7 Problem Solving

1-7 Problem Solving. Objective: To use the five step plan to solve word problems over a given domain. Good News we already know the first three!!!!!. 1-7 Problem Solving. Plan for Solving Word Problem

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1-7 Problem Solving

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  1. 1-7 Problem Solving • Objective: To use the five step plan to solve word problems over a given domain. • Good News we already know the first three!!!!!

  2. 1-7 Problem Solving • Plan for Solving Word Problem • Step 1: Read the problem carefully. Decide what unknowns are asked for and what facts are known. Make a sketch.

  3. 1-7 Problem Solving • Plan for Solving Word Problem • Step 2: Choose a variable and use it with the given facts to represent all the unknowns. Label the sketch.

  4. 1-7 Problem Solving • Plan for Solving Word Problem • Step 3: Reread the problem and write an equation that represents relationships.

  5. 1-7 Problem Solving • Plan for Solving Word Problem • Step 4: Solve the equation and find the unknowns asked for.

  6. 1-7 Problem Solving • Plan for Solving Word Problem • Step 5: Check results with the words of the problem. Give ANSWER.

  7. 1-7 Problem Solving • Example 1: WRITE out each step of the five step plan. • A choice of possible numbers for one unknown is given. • Phillip has $23 more than Kevin. Together they have $187. How much does each have? • Choices for Kevin’s amount: 72, 78, 82.

  8. 1-7 Problem Solving • Phillip has $23 more than Kevin. Together they have $187. How much does each have? • Step 1: Unknowns are Kevin and Philips amounts.

  9. 1-7 Problem Solving • Phillip has $23 more than Kevin. Together they have $187. How much does each have? • Step 1: Unknowns are Kevin and Philips amounts. Know: 187 together and Phillip has 23 more than Kevin.

  10. 1-7 Problem Solving • Phillip has $23 more than Kevin. Together they have $187. How much does each have? • Step 1: Unknowns are Kevin and Philips amounts. Know: 187 together and Phillip has 23 more than Kevin. • Step 2: Let k = Kevin’s, so what is Philip’s?

  11. 1-7 Problem Solving • Phillip has $23 more than Kevin. Together they have $187. How much does each have? • Step 1: Unknowns are Kevin and Philips amounts. Know: 187 together and Phillip has 23 more than Kevin. • Step 2: Let k = Kevin’s, so what is Philip’s? Philip’s =k + 23.

  12. 1-7 Problem Solving • Phillip has $23 more than Kevin. Together they have $187. How much does each have? • Step 2: Let k = Kevin’s, so what is Philip’s? Philip’s = k + 23. • Step 3:

  13. 1-7 Problem Solving • Phillip has $23 more than Kevin. Together they have $187. How much does each have? • Step 2: Let k = Kevin’s, so what is Philip’s? Philip’s = k + 23. • Step 3: k + (k + 23) = 187.

  14. 1-7 Problem Solving • Phillip has $23 more than Kevin. Together they have $187. How much does each have? • Step 3: k + (k + 23) = 187. • Step 4:

  15. 1-7 Problem Solving • Phillip has $23 more than Kevin. Together they have $187. How much does each have? • Step 3: k + (k + 23) = 187. • Step 4: Replace k in turn by 72, 78, 82.

  16. 1-7 Problem Solving • Phillip has $23 more than Kevin. Together they have $187. How much does each have? • Step 3: k + (k + 23) = 187. • Step 4: Replace k in turn by 72, 78, 82.

  17. 1-7 Problem Solving • Phillip has $23 more than Kevin. Together they have $187. How much does each have? • Step 3: k + (k + 23) = 187. • Step 4: Replace k in turn by 72, 78, 82.

  18. 1-7 Problem Solving • Phillip has $23 more than Kevin. Together they have $187. How much does each have? • Step 3: k + (k + 23) = 187. • Step 4: Replace k in turn by 72, 78, 82.

  19. 1-7 Problem Solving • Phillip has $23 more than Kevin. Together they have $187. How much does each have? • Step 3: k + (k + 23) = 187. • Step 4: Replace k in turn by 72, 78, 82.

  20. 1-7 Problem Solving • Phillip has $23 more than Kevin. Together they have $187. How much does each have? • Kevin has k = 82, Philip has K + 23 = 105.

  21. 1-7 Problem Solving • Phillip has $23 more than Kevin. Together they have $187. How much does each have? • Step 5:

  22. 1-7 Problem Solving • Phillip has $23 more than Kevin. Together they have $187. How much does each have? • Step 5:Check the results of Step 4 with the words of the problem:

  23. 1-7 Problem Solving • Phillip has $23 more than Kevin. Together they have $187. How much does each have? • Step 5:Check the results of Step 4 with the words of the problem: • Philip has 23 more than Kevin: • 105 = 23 + 82?

  24. 1-7 Problem Solving • Phillip has $23 more than Kevin. Together they have $187. How much does each have? • Step 5:Check the results of Step 4 with the words of the problem: • Philip has 23 more than Kevin: • 105 = 23 + 82? • Yes, 105 = 105. • Together they have 187.

  25. 1-7 Problem Solving • Phillip has $23 more than Kevin. Together they have $187. How much does each have? • Step 5:Check the results of Step 4 with the words of the problem: • Philip has 23 more than Kevin: • 105 = 23 + 82? • Yes, 105 = 105. • Together they have 187. • 105 + 82 = 187?

  26. 1-7 Problem Solving • Phillip has $23 more than Kevin. Together they have $187. How much does each have? • Step 5:Check the results of Step 4 with the words of the problem: • Philip has 23 more than Kevin: • 105 = 23 + 82? • Yes, 105 = 105. • Together they have 187. • 105 + 82 = 187? • Yes! Kevin has $82 and Phillip has $105.

  27. 1-7 Problem Solving • Homework: Write out 5 steps!!! • P. 28 1 – 15 odd.

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