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Warm-Up Exercises

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  1. The sum of two consecutive even numbers is 26. • What are the numbers? • Mike is twice as old as his younger brother. The sum • of their ages is 36. How old are the brothers? Warm-Up Exercises 1.6 Use a Problem Solving Plan Use the strategy guess, check, and revise to solve the problem.

  2. The sum of two consecutive even numbers is 26. • What are the numbers? 12 and 14 ANSWER • Mike is twice as old as his younger brother. The sum • of their ages is 36. How old are the brothers? The brothers are 12 and 24. ANSWER Warm-Up Exercises 1.6 Use a Problem Solving Plan Use the strategy guess, check, and revise to solve the problem.

  3. Lesson 1.6 1.6 Use a Problem Solving Plan Use A Problem Solving Plan Verbal model – a real world problem using words as labels and math symbols to relate to the words Problem Solving Plan – What do you know? What is the question? Make a verbal model: Solve the problem. Check solution: Warm-Up Exercises

  4. Example 1 Understanding and Planning During a kayak trip, you kayak for 2 hours, break for lunch, kayak for 3 hours, have a short break, and kayak for 2 more hours. During the first part of the trip, you travel 4 miles. You travel at the same rate for the second part of the trip. During the last part of the trip, you travel twice as fast. How many miles did you travel on the kayak trip? Make a plan. What do you know? What is the question? Make a verbal model: Solve the problem. Check solution:

  5. Practice for Example 1 1. How can you determine the distance traveled after lunch? 2. How can you determine the distance traveled after the break?

  6. Example 2 Solving and Looking Back Solve the problem in Example 1 by carrying out the plan. Then check your answer.

  7. Practice for Example 2 • In Example 2, suppose you traveled twice as fast • after lunch as you did before lunch, and you traveled at the same rate after the break as before lunch. How many miles did you travel?

  8. Practice for Example 2 • In Example 2, you traveled 4 miles before lunch, 6 miles after lunch, and 8 miles after a break. If the pattern continued, how many miles would you • travel in the next two parts of your trip? Copy and complete the pattern, and then answer the question. 4, 6, 8, ? ,?

  9. Lesson 1.6 1.6 Use a Problem Solving Plan Warm-Up Exercises Homework 1.6: workbook; p. 22 /1-14