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Section 1.5 Algebra 1 Book – Use a Problem Solving Plan.

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Presentation on theme: "Section 1.5 Algebra 1 Book – Use a Problem Solving Plan."— Presentation transcript:

1 Section 1.5 Algebra 1 Book – Use a Problem Solving Plan

2 How can you use a problem solving plan to solve a problem? READ THE PROBLEM, then… STEP 1What is the actual question? STEP 2What are the facts? STEP 3What strategies or operations will I use to solve the problem? STEP 4Does my answer make sense? Estimate Do a simpler problem Act it Out Draw a picture Make a chart or table Work backwards

3 Applying the Process: Example #1 You run in a city where the short blocks on north-south streets are 0.1 mile long. The long blocks on east-west streets are 0.15 mile long. You will run 2 long blocks east, a number of short blocks south, 2 long blocks west, then back to your starting point. You want to run 2 miles. How many short blocks should you run?

4 What is the actual question? How many short blocks should you run?

5 What are the facts? short blocks – north/south – 0.1 mile long. long blocks – east/west – 0. 15 mile long. You run 2 long blocks east, then You run a number of short blocks south, then You run 2 long blocks west, then back to your starting point. 2 miles total

6 What strategies or operations will I use to solve the problem?

7 Does my answer make sense?

8 Again! Example #2 You are designing the layout for a newspaper about teen issues. The newspaper will be 22 ½ inches wide. You plan to have 5 columns with ⅛ – inch gaps between them and ⅜ – inch margins on the left and right sides. How wide will each column be?

9 What is the actual question? How wide will each column be?

10 What are the facts? The newspaper will be 22 ½ inches wide. ⅜ – inch margins on the left and right sides 5 columns separated by ⅛ – inch gaps

11 What strategies or operations will I use to solve the problem?

12 Does my answer make sense?

13 Last One – You Try! You are hiking. The total weight of your backpack and its contents is 13 ⅜ pounds. You want to carry no more than 15 pounds. How many extra water bottles can you add to your backpack If each bottle weighs ¾ pound? 1Question? 2Facts? 3Strategies? 4Make Sense?

14 Formulas & Problem Solving

15 Choosing a Formula Match each statement with it’s formula: 1.A store buys a baseball cap for $5 and sells it for $20. What is the profit? 2.A car travels at an average speed of 55 miles per hour for 2.5 hours. How far did the car travel? 3.The temperature is 68 ° F. Which temperature in degrees Celsius? A) C = 5/9(F – 32)B) I = Prt C) d = rtD) P = I – E

16 Applying Formulas to Problem Solving A runner ran at a rate of 0.15 mile per minute for 40 minutes. The next day, the runner ran at a rate of 0.16 mile per minute for 50 minutes. How far did the runner run altogether?

17 Applying Formulas to Problem Solving What is the interest on $1200 invested for 2 years in an account that earns simple interest at a rate of 5% per year? If you decided to invest $1500 instead, how much more money would you earn?

18 HOMEWORK Workbook – page 10 #1 – 8 ALL


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