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Creating Scale Drawings: IM 7.1.9

IM 6 – 8 Math, GeoGebra Classroom Activities, Jul 30, 2020

“Creating Scale Drawings” from IM Grade 7 by Open Up Resources and Illustrative Mathematics. Licensed under the Creative Commons Attribution 4.0 license.

Lesson 7.1.9
1. IM 7.1.9 Lesson: Creating Scale Drawings
Practice 7.1.9
1. IM 7.1.9 Practice: Creating Scale Drawings

Information

Lesson 7.1.9

1. IM 7.1.9 Lesson: Creating Scale Drawings

IM 7.1.9 Lesson: Creating Scale Drawings

Without calculating, decide which quotient is larger.

Here is a rough sketch of Noah’s bedroom (not a scale drawing). Noah wants to create a floor plan that is a scale drawing. The actual length of Wall C is 4 m. To represent Wall C, Noah draws a segment 16 cm long. Use the app below to help you determine what scale he is using. Explain or show your reasoning.

Here is a rough sketch of Noah’s bedroom (not a scale drawing).

Noah wants to create a floor plan that is a scale drawing. Find another way to express the scale.

Discuss your thinking with your partner. How do your scales compare?

Here is a rough sketch of Noah’s bedroom (not a scale drawing).

Noah wants to create a floor plan that is a scale drawing. The actual lengths of Wall A, Wall B, and Wall D are 2.5 m, 2.75 m, and 3.75 m. Determine how long these walls will be on Noah’s scale floor plan.

Use the Point tool

and the Segment tool

to draw the walls of Noah's scale floor plan in the applet.

If Noah wanted to draw another floor plan on which Wall C was 20 cm, would 1 cm to 5 m be the right scale to use? Explain your reasoning.

A rectangle around Utah is about 270 miles wide and about 350 miles tall. The upper right corner that is missing is about 110 miles wide and about 70 miles tall. Make a scale drawing of Utah where 1 centimeter represents 50 miles.

A rectangle around Utah is about 270 miles wide and about 350 miles tall. The upper right corner that is missing is about 110 miles wide and about 70 miles tall. Make a scale drawing of Utah where 1 centimeter represents 75 miles.

How do the two drawings compare? How does the choice of scale influence the drawing?

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Practice 7.1.9

1. IM 7.1.9 Practice: Creating Scale Drawings

2.1.

IM 7.1.9 Practice: Creating Scale Drawings

An image of a book shown on a website is 1.5 inches wide and 3 inches tall on a computer monitor. The actual book is 9 inches wide. What scale is being used for the image?

An image of a book shown on a website is 1.5 inches wide and 3 inches tall on a computer monitor. The actual book is 9 inches wide. How tall is the actual book?

The flag of Colombia is a rectangle that is 6 ft long with three horizontal strips.

The top stripe is 2 ft tall and is yellow.
The middle stripe is 1 ft tall and is blue.
The bottom stripe is also 1 ft tall and is red.