Understanding Ratios and Scales

This video tutorial covers the concept of ratios and their applications. It begins with identifying shapes that do not fit a given set of ratios, followed by comparing ratios in different versions of trail mix. The tutorial then explains how to choose appropriate scales for drawing various objects, such as a person, a football field, and a state. Finally, it demonstrates how to find and explain equivalent ratios using multiplication.

Which shape is different based on the given width and height ratios?

• Shape C

• Shape B

• Shape A

• Shape D

What is the ratio of peanuts to raisins in the first version of the trail mix?

• 3 to 2

• 4 to 3

• 5 to 4

• 2 to 3

How does the ratio of the second trail mix version compare to the first?

• It is smaller

• It is larger

• It is equivalent

• It is unrelated

What scale would you use to draw a six-foot-tall person on paper?

• 1 inch to 1 foot

• 1 inch to 10 feet

• 1 inch to 100 feet

• 1 inch to 1000 feet

Which scale is appropriate for drawing a football field on paper?

• 1 to 1000

• 1 to 100000

• 1 to 10000

• 1 to 100

What is the equivalent scale to one centimeter to one kilometer?

• 1 to 1000000

• 1 to 100000

• 1 to 10000

• 1 to 1000

Which of the following is an equivalent ratio to 7 to 3?

• 10 to 5

• 21 to 10

• 28 to 15

• 14 to 6

How do you find an equivalent ratio to a given ratio?

• Add the same number to both terms

• Multiply both terms by the same number

• Divide both terms by the same number

• Subtract the same number from both terms

What is the result of multiplying both terms of the ratio 7 to 3 by 3?

• 28 to 12

• 10 to 5

• 21 to 9

• 14 to 6

If you multiply the ratio 7 to 3 by 4, what is the new ratio?

• 35 to 15

• 14 to 6

• 21 to 9

• 28 to 12