Proportional Relationships

Proportional Relationships (Ratios)

You will be able to describe what makes a ratio and how to identify similar ratios

• Writing ratios is a comparison between the relative amounts of two quantities

• Ratios are read as the ratio of a to b

• We can write ratios in three ways:

• a to b

• a : b

​a

b

​RATIOS

Multiple Choice

Which would be a correct way of writing 7 to 5 as a ratio:

• 7:5

• 5:7

• 7.5

• 5/7

Multiple Choice

Which would be a correct way of writing 12 to 15 as a ratio:

• 12.15

• 15:12

• 12 to 15

• 15/12

Multiple Choice

Which would be a correct way of writing 1 to 3 as a ratio:

• 1.3

• 1:3

• 3 to 1

• 3/1

Writing Ratios & Simplify

• Write 15 feet to 30 feet as a ratio using fractional notation. Simplify the fraction to lowest terms

Writing Ratios & Simplify

• Write 24 feet to 38 feet as a ratio using fractional notation. Simplify the fraction to lowest terms

Draw

Write 20 feet to 42 feet as a ratio using fractional notation. Simplify the fraction to lowest terms

Draw

Write 15 feet to 65 feet as a ratio using fractional notation. Simplify the fraction to lowest terms

Draw

Write 22 feet to 24 feet as a ratio using fractional notation. Simplify the fraction to lowest terms

Writing Equivalent Ratios

• Write the ratio 1 : 2 as an equivalent ratio of 4 : x

Writing Equivalent Ratios

• Write the ratio 3 : 7 as an equivalent ratio of 5 : x

Draw

Write the ratio 2 : 5 as an equivalent ratio of 6 : x

Draw

Write the ratio 1 : 3 as an equivalent ratio of 7 : x

Draw

Write the ratio 7 : 10 as an equivalent ratio of 2 : x

Are They Equivalent?

• Are the following equivalent - 2 : 5 & 6 : 15

Are They Equivalent?

• Are the following equivalent - 1 : 7 & 4 : 32

Draw

Are the following equivalent - 3 : 5 & 9 : 15

Draw

Are the following equivalent - 1 : 4 & 9 : 45

Draw

Are the following equivalent - 2 : 8 & 10 : 60

Draw

Are the following equivalent - 3 : 12 & 5 : 20