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Lesson Plans and Worksheets for Grade 7

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 7

Common Core For Grade 7

Examples, videos, and solutions to help Grade 7 students learn how to compute actual areas from a scale drawing

### New York State Common Core Math Grade 7, Module 1, Lesson 19

Download the Worksheets for Grade 7, Module 1, lesson 19 (pdf)

### Lesson 19 Outcome

### Lesson 19 Summary

### NYS Math Module 2 Grade 7 Lesson 19 Classwork

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Lesson Plans and Worksheets for Grade 7

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 7

Common Core For Grade 7

Examples, videos, and solutions to help Grade 7 students learn how to compute actual areas from a scale drawing

• Students identify the scale factor.

• Given a scale drawing, students compute the area in the actual picture.

Given the scale factor r representing the relationship between scale drawing length and actual length, the square of
this scale factor, r^{2}, represents the relationship between scale drawing area and actual area.

Examples

Examples 1–3: Exploring Area Relationships

Use the diagrams below to find the scale factor and then find the area of each figure.

Results: What do you notice about the ratio of the areas in Examples 1-3? Complete the statements below.

When the scale factor of the sides was 2, then the ratio of area was ______.

When the scale factor of the sides was 1/3, then the ratio of area was ____.

When the scale factor of the sides was 4/3, then the ratio of area was _____

Based on these observations, what conclusion can you draw about scale factor and area?

If the scale factor is r, then the ratio of area is ____

Example 4: They Said Yes!

The Student Government liked your half-court basketball plan. They have asked you to calculate the actual area of the
court so that they can estimate the cost of the project.

Based on the drawing below, what is the area of the planned half-court going to be?

Does the actual area you found reflect the results we found from Examples 1–3? Explain how you know.

Exercises

1. The triangle depicted by the drawing has an actual area of 36 square units. What is the scale of the drawing? (Note:
each square on grid has a length of 1 unit.)

2. Use the scale drawings of two different apartments to answer the questions. Use a ruler to
measure.

a. Find the scale drawing area for both apartments, and then use it to find the actual area of both apartments.

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