Student Goal

I can connect fractions, decimals, and percents.

Why It Matters

Percents, decimals, and fractions help students make sense of discounts, data, grades, sports statistics, and proportional reasoning.

Warm-Up

Warm-Up 1

Which percent equals 1/2?

Warm-Up 2

Write 0.25 as a percent.

Warm-Up 3

Find 50% of 30.

Short Lesson

Standard Focus

NC.7.RP: Ratios and Proportional Relationships

Student-Friendly Standard Goal

I can use equivalent forms of rational numbers to solve percent problems.

  • Fractions, decimals, and percents can name the same amount in different ways.
  • Benchmark percents are friendly values like 10%, 25%, 50%, and 75%.
  • To find a percent of a number, connect the percent to a fraction or decimal you understand.

Guided Examples

Guided Example 1

Find a Discount

A 20 dollar backpack is on sale for 25% off. How much is the discount?

Step 1

25% = 1/4

What fraction can help with 25%?

Guided Example 2

Match Equivalent Forms

Which decimal and percent match 3/4?

Step 1

3/4

What decimal equals 3/4?

Practice

Problem 1

Which decimal equals 50%?

Problem 2

Find 25% of 40.

Problem 3

Which is equivalent to 0.75?

Problem 4

True or false: 10% of 90 is 9.

Problem 5

A shirt costs 32 dollars. About how much is a 50% discount?

Reflection

How are you feeling about today's skill?

Optional reflection: Where do you notice percents in real life?