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Here is a 15-minute lesson for the Math-Aids Multiplying by Percents that are Powers of Ten worksheet. This worksheet practices finding 1%, 10%, 100%, 1000%, and 0.1% of a number. It can include whole-number or decimal problems and word problems.

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15-Minute Math Lesson Plan: Multiplying by Percents

Grade Level: Grades 5–6
Time: 15 minutes
Topic: Multiplying by Percents

Learning Objective

Students will find a percent of a number by converting the percent to a decimal and multiplying.

Materials

1. Warm-Up (3 minutes)

Review the meaning of common percents.

Write these examples on the board:

  • 10% = 0.10

  • 1% = 0.01

  • 100% = 1.00

  • 1000% = 10.00

  • 0.1% = 0.001

Ask students:

  • What does 10% mean?

  • What does 100% of a number represent?

  • Why do we move the decimal point two places to the left when changing a percent to a decimal?

Key Idea: To change a percent to a decimal, remove the percent sign and move the decimal point two places to the left.

2. Teacher Modeling (4 minutes)

Model how to find a percent of a number.

Example 1: What is 10% of 80?

Step 1: Change the percent to a decimal.

10% = 0.10

Step 2: Multiply.

0.10 × 80 = 8

Answer: 8

Explain that 10% is one-tenth of a number, so the answer is 8.

Example 2: What is 1% of 45?

Step 1: Change the percent to a decimal.

1% = 0.01

Step 2: Multiply.

0.01 × 45 = 0.45

Answer: 0.45

Point out that 1% is one-hundredth of the original number.

3. Guided Practice (3 minutes)

Solve these problems together:

Problem 1: What is 100% of 62?

100% = 1.00

1.00 × 62 = 62

Answer: 62

Explain that 100% represents the entire amount.

Problem 2: What is 1000% of 25?

1000% = 10.00

10.00 × 25 = 250

Answer: 250

Ask students why the answer is greater than the original number.

4. Independent Worksheet Practice (3 minutes)

Have students complete several problems from their worksheet independently.

Encourage students to follow these steps:

  1. Identify the percent.

  2. Convert the percent to a decimal.

  3. Multiply the decimal by the given number.

  4. Check whether the answer makes sense.

Remind students:

  • 10% gives one-tenth of the number.

  • 1% gives one-hundredth of the number.

  • 100% gives the entire number.

  • 1000% gives ten times the number.

  • 0.1% gives one-thousandth of the number.

5. Exit Ticket (2 minutes)

Ask students to solve:

What is 0.1% of 350?

Step 1: Convert the percent.

0.1% = 0.001

Step 2: Multiply.

0.001 × 350 = 0.35

Answer: 0.35

Ask students to explain how they converted 0.1% into a decimal.

Differentiation

Support: Provide a reference chart showing each percent and its decimal equivalent. Allow students to use a calculator to check multiplication.

Extension: Have students create their own word problem using 10%, 1%, or 100% and exchange problems with a partner.

Common Misconceptions

  • Moving the decimal the wrong direction: Remind students that converting a percent to a decimal means moving the decimal two places left.

  • Confusing 1% and 0.1%: Explain that 0.1% is ten times smaller than 1%.

  • Assuming the answer must be smaller: Explain that 1000% is ten times the original number, so its answer will be larger.

Assessment

Check students' independent worksheet problems and exit tickets to determine whether they can correctly convert percents to decimals and multiply.

Success Criteria: Students can convert a percent to a decimal, multiply by a given number, and explain what their answer represents.

Teacher tip: The most important concept in this lesson is understanding the relationship between a percent and its decimal equivalent. Once students understand that conversion, the multiplication becomes much easier.

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Posted 11/6/26

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