8-106th grade math

Using Maps

Objective

• To use maps scales and proportions to find actual distances.

• Why? To know how to read maps and know the distances between cities.

California State Standards NS 1.3 : Use proportions to solve problems …AF 2.3: Solve problems involving … distance …MR 2.2: Apply strategies and results from simpler

problems to more complex problems.

How to Solve Scale Problems Using Maps1) Measure the distance

between the two cities (for multiple stops, add distances together).

2) Write a proportion using the scale as one of the ratios. Let n or x represent the actual distance.

3) Solve the proportion.

Scale: 1 inch = 75 milesmap = map or map = actualactual actual map actual

1 = 1.25 1 = 7575 x 1.25 x

93.75 miles or 93.75 miles

Try It!

1) South Bend to Peru

2) Gary to Evansville

3) Frankfort to Indianapolis

4) Peru to Indianapolis

1) 75 miles

2) 244 miles

3) 38 miles

4) 75 miles

Objective Review • To use maps scales and

proportions to find actual distances.

• Why? To You now know how to read maps and know the distances between cities.

• Since a map is a scale drawing, you can use your knowledge about scale and proportions to find actual distances.

• Be sure to set up your ratios or proportions equally.

Independent Practice

• Complete problems 5-11

• Copy original problem first.

• Show all work!

• If time, complete Mixed Review: 12-13

• If still more time, work on Accelerated Math.