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Scale Drawings (Using Scale Factor)
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What you will learn from this videoWhat you will learn
- We'll learn that you can use a scale factor to make lengths bigger or smaller.
- We will also learn how to use a scale factor to make scale drawings of geometric shapes.
- And we'll see how this knowledge can help us design a T-shirt, make a poster, and even build a car!
- Discussion Questions
Before Video
How do you think good maps are made?ANSWERThey scale down real-life distances onto paper or a device screen.
5 centimeters
2.5 miles
[ggfrac]5/2[/ggfrac] x [ggfrac]5/2[/ggfrac] = [ggfrac]25/4[/ggfrac], or 6.25 square miles
The same real length is represented by shorter sides, so the park ends up looking smaller.
After Video
How would you explain what a scale factor is to a sixth-grader?ANSWERA scale factor is a number you multiply the side lengths of a shape by to get the new side lengths of another shape.
They look the same, but one is bigger than the other. The new shape isn’t distorted.
Doubles (or triples) every side length.
Every side length of the larger picture is 10 (or 2) times as long. Every side of the smaller picture is [ggfrac]1/10[/ggfrac] (or [ggfrac]1/2[/ggfrac]) as long.
3; [ggfrac]1/3[/ggfrac]
- Vocabulary
- Rectangle DEFINE
A closed shape with 4 straight sides.
- Triangle DEFINE
A closed shape with 3 straight sides.
- Proportional DEFINE
Amounts that grow or shrink in the same ratio.
- Ratio DEFINE
A comparison of two values, written in the form a to b, a : b, or [ggfrac]a/b[/ggfrac].
- Scale factor DEFINE
The ratio between corresponding lengths of an object and a proportional representation of the object.
- Scale drawing DEFINE
An accurate plan of a real object, drawn smaller by dividing each measurement of the object by the same amount.
- Rectangle DEFINE
- Reading Material
- Practice Word Problems
- Practice Number Problems
- Lesson Plan
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