Tape Diagram Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a:b'.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both terms of the ratio by their greatest common divisor (GCD).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If the ratio of height to width of a rectangle is 4:3 and the height is 36 cm, how do you find the width?

Back

Use the ratio to set up a proportion: 4/3 = 36/x. Cross-multiply and solve for x to find the width.

Front

What is the total number of items when sharing in a ratio?

Back

To find the total number of items shared in a ratio, add the parts of the ratio together and multiply by the value of one part.

Front

If Diego has 56 sports cards and shares them with Troy in a ratio of 3:7, how do you find the total number of cards?

Back

First, find the total parts: 3 + 7 = 10. Then, find the value of one part: 56/7 = 8. Finally, multiply by total parts: 10 * 8 = 80.

Front

What does it mean if two quantities are in a ratio of 2:5?

Back

It means for every 2 units of the first quantity, there are 5 units of the second quantity.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you find the amount of one part in a ratio if you know the total amount?

Back

Divide the total amount by the sum of the parts in the ratio.

Front

If Nancy received $48 in a 3:4 ratio with Taylor, how do you find Taylor's amount?

Back

Set up the ratio: 4 parts = $48. Find the value of one part: $48/4 = $12. Then, multiply by Taylor's parts: 3 * $12 = $36.

Front

What is a tape diagram?

Back

A tape diagram is a visual representation of ratios and fractions using rectangles to show the parts of a whole.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How can tape diagrams help in solving ratio problems?

Back

Tape diagrams help visualize the relationship between quantities, making it easier to understand and solve ratio problems.