Ratios

Lesson 6-1 Ratios

CC MATH 6

Essential Question: How can you use Ratios to Compare two quantities?

What Is a Ratio?

• In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other. 

•  A ratio compares two quantities by division, with the dividend or number being divided termed the antecedent and the divisor or number that is dividing termed the consequent.

Characteristics of Ratios

• A ratio might be formatted as a Part to Part or Part to Whole comparison. 

• Ratios compare different amounts of the same measure ( antedent

• You can exsepress ratio as "the ratio of A to B," "A is to B," "A : B" or the quotient of A divided by B

• You can express ratio as "the ratio of A to B," "A is to B," "A : B" or the quotient of A divided by B

Poll

Kaleb has a bag of LEGOS. There are 6 yellow, 3 red, and 8 blue LEGOS. What is the ratio in simplest form of red legos to all LEGOS?

• a) 3/17

• b) 3/8

• c) 17/3

• d) 3/6

How to Write a Ratio?

There are 4 boys to every 3 girls in the classroom.

• Ratios are simple division problems, so they can also be written as a fraction.  (4/3)

• Ratios can be expressed using only words ( 4 to 3)

• The most common is to write a ratio using a colon (4:3)

There are three ways to write a Ratio!

Fill in the Blanks

Write the given problem as a Ratio in three different ways.

Equivalent Ratios

• If two ratios have the same value when simplified, then they are called Equivalent Ratios.d

• Equivalent ratios can be obtained by multiplying or dividing both sides by the same non-zero number.

• Ex: 1/3 and 2/6 are equivalent ratios since they represent the same fraction, and when divided they both equal 0.33 !