Ratios and Tape Diagrams

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 to b' or a:b.

Front

How do you write an equivalent ratio?

Back

To write an equivalent ratio, you can multiply or divide both terms of the ratio by the same non-zero number.

Front

What is a tape diagram?

Back

A tape diagram is a visual representation of a ratio or a fraction, using rectangles to show the parts of a whole.

Front

If 30 kids like grape juice and the total number of kids is 70, what is the ratio of kids who like grape juice to the total number of kids?

Back

The ratio is 30:70, which simplifies to 3:7.

Front

What is the equivalent ratio of 6:7 when both terms are multiplied by 6?

Back

The equivalent ratio is 36:42.

Front

How can you find the total number of kids if 30 kids like grape juice and they represent 3 parts of a tape diagram with a total of 7 parts?

Back

If 30 kids represent 3 parts, then each part is 10 kids. Therefore, 7 parts would be 7 x 10 = 70 kids.

Front

What is the ratio of triangles to circles if there are 8 triangles and 5 circles?

Back

The ratio is 8:5.

Front

If a ratio is 5 to 4, what is an equivalent ratio if both terms are multiplied by 5?

Back

The equivalent ratio is 25 to 20.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, even if the numbers are different.

Front

How do 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 relationships and calculate unknown quantities.