Creating Scale Drawings

Warmup

Activity #1

Draw a Plan to Scale.

Here in this exercise is a rough sketch of Noah’s bedroom (not a scale drawing), but he 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.

• Use the Point tool and the segment tool to draw the walls of Noah’s scale floor plan in the applet.

Determine how long these walls will be on Noah’s scale floor plan.

Activity #2

Use a Scale Drawing Tool to Find Area of Scaled Copies.

• Use the slider to change the scale factor of the rectangle and complete the table.

Activity #3

Draw a Plan to Scale.

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.

(1.) How do the two drawings compare?

(2.) How does the choice of scale influence the drawing?

Challenge #1

Jordan draws a hotdog on graph paper using the scale shown below. The hotdog has a length of 9 units in the drawing.

Challenge #2

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.

Here is an unlabeled rectangle, followed by other quadrilaterals that are labeled. Select all quadrilaterals that are scaled copies of the unlabeled rectangle.

Challenge #3

These triangles are scaled copies of each other. Study them and answer the questions that follow.