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Lesson Plans and Worksheets for Grade 7

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Common Core For Grade 7

Videos, examples, lessons, and solutions to help Grade 7 students learn how to relate scale drawings to ratios and rates.

### New York State Common Core Math Grade 7, Module 1, Lesson 16

For the following problems, (a) is the actual picture and (b) is the scale drawing. Is the scale drawing an enlargement or a reduction of the actual picture?

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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

Student Outcomes

Students understand that a scale drawing is either the reduction or the enlargement of a two-dimensional picture.

Students compare the scale drawing picture with the original picture and determine if the scale drawing is a reduction or an enlargement.

Students match points and figures in one picture with points and figures in the other picture.

Intro Activity: Can You Guess the Image?

Example 1For the following problems, (a) is the actual picture and (b) is the scale drawing. Is the scale drawing an enlargement or a reduction of the actual picture?

Key Idea:

Scale Drawing: a reduced or enlarged two-dimensional drawing of an original two-dimensional drawing.

Example 2

Derek’s family took a day trip to a modern public garden. Derek looked at his map of the park that was a reduction of the map located at the garden entrance. The dots represent the placement of rare plants. The diagram below is the top-view as Derek held his map while looking at the posted map.

What are the corresponding points of the scale drawings of the maps?

Example 3:

Cleleste drew the outline of a building for a diagram she was making and then drew a second one
mimicking her original drawing. State the coordinates of the vertices and fill in the table.

Lesson Summary:

**Scale Drawing:** A drawing in which all lengths between points or figures in the drawing are reduced or enlarged proportional to the lengths in the actual picture. A constant of proportionality exists between corresponding lengths of the two images.

**Reduction: **The lengths in the scale drawing are smaller than those in the actual object or picture.

**Enlargement/Magnification**: The lengths in the scale drawing are larger than those in the actual object or picture.

**One-to-one Correspondence:** Each point in one figure corresponds to one and only one point in the second figure.

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