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# 1.5 problem solving plan part 1

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### 1.5 problem solving plan part 1

1. 1. 20 trees<br />ANSWER<br />Lesson 1.5, For use with pages 28-33<br />1. Mr. Lu is planting trees around the perimeter of a rectangular park. The park measures 72 feet by <br /> 48feet. The trees need to be spaced 12feet apart. <br /> A tree is to be planted in each corner. How many trees are needed?<br />
2. 2. Use a Problem Solving Plan<br />Section 1.5<br />P. 28 - 34<br />
3. 3. Students will learn to use a problem solving plan to solve problems<br />Read and Understand<br />Make a plan<br />Solve the problem<br />Look Back<br />
4. 4. Students will learn to use a problem solving plan to solve problems<br />Key Concepts P. 30 For Your Notebook<br />Formulas<br />C = 5/9(F – 32)<br />I = PRT (Interest = principal x rate x time)<br />D = r t distance = rate x times<br /> d/t = r d/r = t<br />P = I – E <br />
5. 5. Students will learn to use a problem solving plan to solve problems<br />I = Prt (Interest = principal x rate x time)<br />What is the interest on \$3000 invested for 3 years in an account that earns simple interest at a rate of 4% per year?<br />\$360 of interest<br />
6. 6. You run in a city where the short blocks on north-south streets are 0.1mile long. The long blocks on east-west streets are 0.15mile long. You will run 2 long blocks east, a number of short blocks south, 2long blocks west, then back to your starting point. You want to run 2miles. How many short blocks should you run?<br />EXAMPLE 1<br />Read a problem and make a plan<br />Running<br />Students will learn to use a problem solving plan to solve problems<br />
7. 7. EXAMPLE 1<br />Read a problem and make a plan<br />SOLUTION<br />STEP 1<br />Read and Understand<br />What do you know ?<br />You know the length of each size block, the number of long blocks you will run, and the total distance you want to run.<br />You can conclude that you must run an even number of short blocks because you run the same number of short blocks in each direction.<br />
8. 8. Read a problem and make a plan<br />EXAMPLE 1<br />What do you want to find out?<br />You want to find out the number of short blocks you should run so that, along with the 4 long blocks, you run 2 miles.<br />STEP2<br />Make a Plan Use what you know to write a verbal modelthat represents what you want to find out. Then write an equation and solve it, as in Example2.<br />
9. 9. Totaldistance(miles)<br />Length oflong block(miles/block)<br />Numbershort blocks(block)<br />Numberlong blocks(block)<br />Length ofshort blocks(miles/block)<br />•<br />+<br />•<br />=<br />0.1 s + 0.15 4 = 2<br />EXAMPLE 2<br />Solve a problem and look back<br />Solve the problem in Example 1 by carrying out the plan. Then check your answer.<br />SOLUTION<br />STEP 3<br />Solve the Problem Write a verbal model. Then write an equation.Let sbe the number of short blocks you run.<br />The equation is0.1s + 0.6 = 2.One way to solve theequation is to use the strategy guess, check, and revise.<br />
10. 10. 2.6 = 2<br />EXAMPLE 2<br />Solve a problem and look back<br />Guessan even number that is easily multiplied by0.1.Try20.Checkwhether20is a solution.<br />0.1s + 0.6 = 2<br />Write equation.<br />0.1(20) + 0.6 = 2<br />Substitute 20 for s.<br />Simplify; 20 does not check.<br />Revise.Because2.6 > 2, try an even number less than20.Try 14. Checkwhether14is a solution.<br />
11. 11. 2 = 2<br />ANSWER<br />To run2miles, you should run14short blocksalong with the4 long blocks you run.<br />EXAMPLE 2<br />Solve a problem and look back<br />0.1s + 0.6 = 2<br />Write equation.<br />0.1(14) + 0.6 = 2<br />Substitute 14 for s.<br />Simplify.<br />
12. 12. EXAMPLE 2<br />Solve a problem and look back<br />STEP 4<br />Look Back Check your answer by making a table.You run0.6mile on long blocks. Each two short blocks add0.2mile.<br />The total distance is2miles when you run4long blocksand14short blocks. The answer in Step3 iscorrect.<br />
13. 13. Test Practice<br />Students will learn to use a problem solving plan to solve problems<br />SOLUTION<br />Use the formula for the area of arectangle, A= lw,withl = 18inchesandw = 11inches.<br />
14. 14. ANSWER<br />The correct answer is B.<br />A<br />B<br />C<br />D<br />EXAMPLE 3<br />Standardized Test Practice<br />A = lw<br />Write area formula.<br />= 18(11)<br />Substitute 18 for land 11 for w.<br />= 198<br />Simplify.<br />The area is 198square inches, so the total cost is\$.25(198) = \$49.50.<br />
15. 15. Assignment: P. 31 <br /> (#1-12) - write out<br />Answer the questions by<br /> READING the DIRECTIONS<br />Students will learn to use a problem solving plan to solve problems<br />