Equivalent Ratios: Understanding Mathematical Relationships

Open Ended

Why do you think understanding equivalent ratios is important in solving real-world problems?

Multiple Choice

Which of the following best describes a ratio?

• A comparison of two numbers with the same unit

• A sum of two numbers

• A product of two numbers

• A difference between two numbers

Open Ended

Explain how you can determine if two ratios are equivalent. Provide an example to support your explanation.

Multiple Select

Which of the following statements about tape diagrams are correct?

• They visually represent ratio relationships

• Each unit in a tape diagram has equal value

• Tape diagrams can only be used for ratios with the same numbers

• Tape diagrams help in understanding ratios

Math Response

In the recipe scaling example, if the original recipe is 4 oz cornstarch to 5 oz water, the scale factor (the number by which you multiply both sides) for 28 oz cornstarch is ___.

Type answer here

Correct Answer: 7

Deg^°

Rad

Multiple Choice

If the ratio is 2:3 and the first number is 10, what is the second number?

• 15

• 12

• 8

• 20

Open Ended

Describe a common mistake students make when working with ratios and how to avoid it. Use an example in your explanation.

Multiple Choice

Which of the following statements correctly describes when two ratios are equivalent?

• They show the same comparison, even if the numbers are different.

• They have the same numbers in both terms.

• They are both less than 10.

• They are both greater than 100.