Scale Factor

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. It is used to determine the proportional relationship between two similar figures.

Tags

CCSS.7.G.A.1

Front

How do you calculate the actual distance using a map scale?

Back

To find the actual distance, multiply the distance on the map by the scale factor. For example, if the scale is 1 cm = 5 km and the distance on the map is 3 cm, the actual distance is 3 cm * 5 km/cm = 15 km.

Front

If a model is built at a scale of 1:10, what does this mean?

Back

This means that every 1 unit in the model represents 10 units in real life.

Tags

CCSS.7.G.A.1

Front

What is the formula for finding the perimeter of a shape?

Back

The perimeter is the sum of the lengths of all the sides of a shape.

Tags

CCSS.3.MD.D.8

Front

If a rectangle has a scale factor of 2, how do the dimensions change?

Back

If the original dimensions are length (l) and width (w), the new dimensions will be 2l and 2w.

Tags

CCSS.7.G.A.1

Front

How do you find the height of a scale drawing?

Back

To find the height in a scale drawing, divide the actual height by the scale factor.

Tags

CCSS.7.G.A.1

Front

What is the relationship between scale factor and area?

Back

The area of similar figures is proportional to the square of the scale factor. If the scale factor is k, the area ratio is k^2.

Tags

CCSS.7.G.A.1

Front

How do you convert a scale drawing measurement to actual size?

Back

Multiply the measurement in the scale drawing by the scale factor to get the actual size.

Tags

CCSS.7.G.A.1

Front

What is the scale of a drawing if 1 inch represents 5 feet?

Back

The scale is 1 inch : 5 feet.

Tags

CCSS.7.G.A.1

Front

If a window in a model is 1.5 inches wide and the scale is 1 inch : 5 feet, how wide is the actual window?

Back

The actual width is 1.5 inches * 5 feet/inch = 7.5 feet.

Tags

CCSS.7.G.A.1