Intro to Proportional Thinking FSMS

What is a Ratio?

• Is a comparison of two quantities 

• A rate with a denominator of one

• It is when the only factor the numerator and denominator share is a one 

• Two decimals that can be multiplied

Answer explanation

A ratio is defined as a comparison of two quantities, which makes the first answer choice correct. The other options describe different concepts that do not accurately define a ratio.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

What is the ratio of green marbles to red marbles?

• 3/2

• 3/1

• 3/3

• 2/3

Answer explanation

The ratio of green marbles to red marbles is calculated by dividing the number of green marbles by the number of red marbles. If there are 3 green marbles for every 1 red marble, the ratio is 3/1, which is the correct answer.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

What is the ratio of red apples to green apples?

• 7 to 3

• 4 to 7

• 4 to 3

• 3 to 4

Answer explanation

The ratio of red apples to green apples is determined by comparing their quantities. Given that the correct answer is 4 to 3, it indicates there are 4 red apples for every 3 green apples.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Which statement best describes what a ratio is.

• A number

• A comparison of two quantities using division.

• A comparison

• A comparison of many things.

Answer explanation

A ratio specifically compares two quantities using division, making the correct choice "A comparison of two quantities using division." Other options are too vague or incorrect.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

What is the ratio of orange circles to blue circles?

• 2 : 3

• 3 : 5

• 3 : 2

• 2 : 5

Answer explanation

The ratio of orange circles to blue circles is determined by counting each color. If there are 3 orange circles and 2 blue circles, the ratio is 3:2, which matches the correct answer.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

A ratio can be written in 3 ways. Which of the following is NOT how a ratio is written?

• 3=4

• 3 : 4

• 3 / 4

• 3 to 4

Answer explanation

The correct choice is 3=4, as it represents an equation rather than a ratio. Ratios can be expressed as 3 : 4, 3 / 4, or 3 to 4, which all indicate a relationship between the two numbers.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?

• 2 to 5

• 5 to 3

• 3 to 5

• 5 to 2

Answer explanation

The ratio of red to yellow marbles is calculated by comparing the number of red marbles (2) to the number of yellow marbles (5). Thus, the ratio is 2 to 5, which matches the correct answer choice.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

How many ways can you write a ratio?

• 2

• 4

• none

• 3

Answer explanation

A ratio can be expressed in three ways: as a fraction (a/b), with a colon (a:b), or in words (a to b). Therefore, the correct answer is 3.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

There are 6 red dots, 3 green dots, and 5 orange dots. What is the ratio of green dots to orange dots?

• 5:3

• 3:5

• 6:3

• 5:6

Answer explanation

To find the ratio of green dots to orange dots, divide the number of green dots (3) by the number of orange dots (5). This gives a ratio of 3:5, making the correct answer 3:5.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Patrick has 2 black, 3 red, and 5   white toy cars. What is the ratio of red toy cars to all the toy cars? 

• 3:5

• 1:3

• 3:11

• 3:10

Answer explanation

Patrick has 2 black, 3 red, and 5 white toy cars, totaling 10 cars. The ratio of red cars (3) to all cars (10) is 3:10, making the correct answer 3:10.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2