section 1.5 algebra 1 book – use a problem solving plan
TRANSCRIPT
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Section 1.5 Algebra 1 Book – Use a Problem Solving Plan
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How can you use a problem solving plan to solve a problem?
• READ THE PROBLEM, then…STEP 1 What is the actual question?STEP 2 What are the facts?STEP 3 What strategies or operations will I
use to solve the problem?STEP 4 Does my answer make sense?
Estimate Do a simpler problem
Act it Out
Draw a pictureMake a chart or table
Work backwards
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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?
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What is the actual question?• How many short blocks should you run?
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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
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What strategies or operations will I use to solve the problem?
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Does my answer make sense?
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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?
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What is the actual question?• How wide will each column be?
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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
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What strategies or operations will I use to solve the problem?
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Does my answer make sense?
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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?
1 Question?
2 Facts?
3 Strategies?
4 Make Sense?
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Formulas & Problem Solving
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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 = PrtC) d = rt D) P = I – E
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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?
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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?
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HOMEWORK • Workbook – page 10• #1 – 8 ALL