Intro to Proportional Reasoning with Percents

​How Can We Use Percents to Compare and Solve Problems?

Proportional Reasoning with Percents

Before we dive into proportional reasoning, let’s make sure we understand what a percentage is and how it works in everyday life. Watch this video to learn more!

What are percentages?

Open Ended

Explain why a percent is considered a special type of fraction.

Multiple Choice

Which of the following BEST explains why percentages are useful in comparing different quantities?

• They are always whole numbers.

• They provide a common scale for comparison.

• They are easier to calculate than fractions.

• They eliminate the need for decimals.

Multiple Choice

In the context of percentages, what does the phrase 'per cent' literally mean?

• Per one

• Per ten

• Per hundred

Multiple Choice

Which of the following best explains why percentages are considered 'base-10 fractions'?

• They always have 10 as the denominator

• They are always written with two decimal places

• They are based on parts per 100

• They can only represent numbers between 0 and 10

Multiple Choice

What is the quickest way to convert a percentage to a decimal?

• Divide by 10

• Divide by 100

• Multiply by 10

• Multiply by 100

Multiple Choice

Which of the following represents 50% as a fraction in simplest form?

• 1/2

• 2/4

• 5/10

• 10/20

Multiple Choice

Why might a percentage greater than 100% be used in real life?

• To show a decrease in quantity.

• To represent a part of a whole.

• To indicate growth or increase beyond the original amount.

• To simplify calculations.

Open Ended

What does the word 'percent' literally mean?

Open Ended

Describe the process of converting a percentage to a decimal. What trick can be used to do this quickly?

Math Response

If a store offers a 25% discount on a $200 item, what is the final price?

Type answer here

Correct Answer: 150

Deg^°

Rad

Math Response

What is the decimal equivalent of 75%?

Type answer here

Correct Answer: 0.75

Deg^°

Rad

Multiple Choice

If you have a fraction 25/100, what is its percent form?

• 25%

• 250%

• 2.5%

• 0.25%

Math Response

How can you express 1% as a decimal?

Type answer here

Correct Answer: 0.01

Deg^°

Rad

Open Ended

If you see the decimal 0.38, how can you quickly determine its percentage equivalent? Explain your method.

Multiple Choice

A recipe requires 20% more sugar than flour. If you use 200 grams of flour, how much sugar is needed?

• 220 grams

• 240 grams

• 260 grams

• 280 grams

Multiple Choice

If a percentage is greater than 100%, what does this indicate about the quantity it represents?

• It's impossible, percentages can't exceed 100%

• It represents a quantity smaller than the whole

• It represents a quantity larger than the whole

• It always equals exactly double the whole

Multiple Choice

Which of the following represents the largest quantity?

• 25%

• 0.5

• 1/3

• 0.4