Equivalent Ratios from Tape Diagrams and Double Number Lines

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, the ratios 4:6 and 2:3 are equivalent because they both represent the same proportion.

Tags

CCSS.6.RP.A.3A

Front

How do you find equivalent ratios?

Back

To find equivalent ratios, you can multiply or divide both terms of the ratio by the same non-zero number. For example, to find an equivalent ratio for 2:3, you can multiply both terms by 2 to get 4:6.

Tags

CCSS.6.RP.A.3A

Front

What is a tape diagram?

Back

A tape diagram is a visual representation of a ratio or a fraction. It uses rectangles to show the parts of a whole and helps in understanding the relationship between different quantities.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is a double number line?

Back

A double number line is a visual tool that shows two sets of numbers along parallel lines. It helps to illustrate the relationship between two quantities and can be used to find equivalent ratios.

Front

If the ratio of cats to dogs is 3:4, how many cats are there if there are 12 dogs?

Back

There are 9 cats. (Using the ratio 3:4, if 4 parts represent 12 dogs, then 3 parts represent 9 cats.)

Front

What is the ratio of 10 to 5 in simplest form?

Back

The simplest form of the ratio 10:5 is 2:1.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How can you use a tape diagram to solve ratio problems?

Back

You can use a tape diagram to visually represent the parts of a ratio, making it easier to see how many of one quantity corresponds to another. For example, if a tape diagram shows 3 parts for apples and 2 parts for oranges, you can easily find how many oranges correspond to a given number of apples.

Front

What does it mean if two ratios are not equivalent?

Back

If two ratios are not equivalent, it means they do not represent the same relationship between the two quantities. For example, the ratios 2:3 and 4:5 are not equivalent.

Tags

CCSS.6.RP.A.3A

Front

If a recipe calls for a ratio of 2 cups of flour to 3 cups of sugar, how much flour is needed for 9 cups of sugar?

Back

You need 6 cups of flour. (Using the ratio 2:3, if 3 parts represent 9 cups of sugar, then 2 parts represent 6 cups of flour.)

Front

What is the relationship between ratios and fractions?

Back

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2