3.2 Tape Diagrams - Mrs. Cardinal

Front

What is a tape diagram?

Back

A tape diagram is a visual representation used to illustrate ratios and relationships between quantities, often resembling a segmented bar.

Front

How do you determine the total number of parts in a ratio?

Back

To determine the total number of parts in a ratio, add the numbers in the ratio together.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If the ratio of blue to red Jolly Ranchers is 3:4 and there are 15 blue Jolly Ranchers, how do you find the total number of Jolly Ranchers?

Back

First, find the total parts: 3 (blue) + 4 (red) = 7 parts. Then, find the value of one part: 15 blue ÷ 3 = 5. Finally, multiply the total parts by the value of one part: 7 parts × 5 = 35 total Jolly Ranchers.

Front

What is the formula to find the number of girls if the ratio of girls to boys is 3:8 and there are 48 boys?

Back

Set up the proportion: 3/8 = x/48, where x is the number of girls. Cross-multiply and solve for x: 3 * 48 = 8 * x, leading to x = 18.

Tags

CCSS.7.RP.A.3

Front

How do you solve for the number of brownies if the ratio of brownies to cookies is 3:5 and there are 75 cookies?

Back

Set up the proportion: 3/5 = x/75, where x is the number of brownies. Cross-multiply and solve for x: 3 * 75 = 5 * x, leading to x = 45.

Tags

CCSS.7.RP.A.3

Front

What is the relationship between the number of sweaters and vests if the ratio is 6:5 and there are 30 vests?

Back

Set up the proportion: 6/5 = x/30, where x is the number of sweaters. Cross-multiply and solve for x: 6 * 30 = 5 * x, leading to x = 36.

Front

How do you set up a tape diagram for a ratio of 2:3?

Back

Draw a bar divided into 5 equal parts (2 + 3 = 5). Label 2 parts for one quantity and 3 parts for the other quantity.

Front

What is the total number of items sold if the ratio of sweaters to pogo sticks is 2:3 and a total of 20 items were sold?

Back

Set up the equation: 2x + 3x = 20. Solve for x: 5x = 20, leading to x = 4. Therefore, pogo sticks sold = 3x = 12.

Front

What does it mean if a ratio is simplified?

Back

A simplified ratio means that the numbers in the ratio have been reduced to their smallest whole number form.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How can tape diagrams help in solving ratio problems?

Back

Tape diagrams provide a visual representation of the quantities involved, making it easier to understand the relationships and solve for unknowns.