Section 1.5 Algebra 1 Book – Use a Problem Solving Plan

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

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?

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

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

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

Does my answer make sense?

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?

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

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

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

Does my answer make sense?

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?

Formulas & Problem Solving

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

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?

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?

HOMEWORK • Workbook – page 10• #1 – 8 ALL