Unit 3: Ratios, Tape Diagrams, Ratio Tables Flashcard Review

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you write a ratio?

Back

Ratios can be written in three ways: as a fraction (e.g., 2/3), with a colon (e.g., 2:3), or in words (e.g., '2 to 3').

Tags

CCSS.6.RP.A.2

CCSS.6.RP.A.1

Front

What is a tape diagram?

Back

A tape diagram is a visual model that uses rectangles to represent numbers and their relationships, often used to solve ratio and proportion problems.

Front

How do you find the total number of items in a ratio?

Back

To find the total, add the parts of the ratio together. For example, in a ratio of 2:3, the total is 2 + 3 = 5 parts.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If the ratio of boys to girls is 2:3 and there are 10 boys, how many girls are there?

Back

If the ratio is 2:3, then for every 2 boys, there are 3 girls. If there are 10 boys, then there are (10 boys * 3 girls) / 2 boys = 15 girls.

Front

What is the ratio of all fruit to pears if there are 4 apples, 2 bananas, and 5 pears?

Back

The total number of fruits is 4 + 2 + 5 = 11. The ratio of all fruit to pears is 11:5.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you solve a ratio problem using a tape diagram?

Back

Draw rectangles to represent each part of the ratio, label them, and then use the total length to find the value of each part.

Front

If Mrs. Carta works out for 60 minutes at a ratio of 7 to 5 for cardio to strength training, how much time is for strength training?

Back

If the total ratio parts are 7 + 5 = 12, then strength training time is (5/12) * 60 = 25 minutes.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If the ratio of boys to girls in chorus was 2:3 last year and is now 3:5 with 21 boys, how many boys were there last year?

Back

Let the number of boys last year be 2x and girls be 3x. This year, 2x = 21, so x = 10. Last year, there were 2*10 = 20 boys.

Tags

CCSS.7.RP.A.3