Percentage Power: Unlocking the Secrets of Percents

Mathematics Grades 7th Grade 3:33 Video
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Lesson Description

Learn how to find percentages using fractions and decimals. This lesson explores different methods to calculate percentages, building a strong foundation for pre-algebra concepts.

Video Resource

Finding a percentage | Decimals | Pre-Algebra | Khan Academy

Khan Academy

Duration: 3:33
Watch on YouTube

Key Concepts

  • Understanding percentage as 'per 100'.
  • Converting fractions to percentages.
  • Converting decimals to percentages.
  • Finding the missing percent of a number.

Learning Objectives

  • Students will be able to convert fractions to percentages.
  • Students will be able to convert decimals to percentages.
  • Students will be able to calculate what percentage one number is of another.

Educator Instructions

  • Introduction (5 mins)
    Begin by reviewing the definition of a percentage and its relationship to fractions and decimals. Ask students for real-world examples where percentages are used (e.g., discounts, grades).
  • Video Presentation (10 mins)
    Play the Khan Academy video 'Finding a percentage | Decimals | Pre-Algebra | Khan Academy'. Encourage students to take notes on the different methods presented.
  • Guided Practice (15 mins)
    Work through example problems similar to those in the video. Model both the fraction-to-percentage and decimal-to-percentage conversion methods. Emphasize the concept of equivalent fractions and proportions.
  • Independent Practice (15 mins)
    Provide students with practice problems to solve individually. Circulate to offer assistance and check for understanding.
  • Wrap-up (5 mins)
    Review key concepts and answer any remaining questions. Preview the next lesson on percent word problems.

Interactive Exercises

  • Fraction-Decimal-Percentage Conversion Chart
    Create a chart where students fill in the missing fraction, decimal, or percentage equivalents for various numbers (e.g., 1/2 = 0.5 = 50%).
  • Percentage Scavenger Hunt
    Provide a list of items with prices and discounts listed as percentages. Students calculate the sale price of each item.

Discussion Questions

  • How are fractions, decimals, and percentages related?
  • Why is it important to understand how to convert between these forms?
  • Can you think of a time when you used percentages in your daily life?

Skills Developed

  • Converting between fractions, decimals, and percentages.
  • Applying proportional reasoning.
  • Problem-solving.

Multiple Choice Questions

Question 1:

What does 'percent' literally mean?

Correct Answer: Per hundred

Question 2:

Which of the following is equivalent to 25%?

Correct Answer: 1/4

Question 3:

What is 0.75 as a percentage?

Correct Answer: 75%

Question 4:

What percentage of 20 is 5?

Correct Answer: 25%

Question 5:

Which fraction is equivalent to 60%?

Correct Answer: 3/5

Question 6:

What is 10% of 50?

Correct Answer: 5

Question 7:

0.1 is equal to what percent?

Correct Answer: 10%

Question 8:

What is 50% of 80?

Correct Answer: 40

Question 9:

To convert a fraction to a percent, you need to write the denominator as:

Correct Answer: 100

Question 10:

Which of the following shows the correct formula for finding a percentage?

Correct Answer: Part/Whole

Fill in the Blank Questions

Question 1:

Percent means 'per ______'.

Correct Answer: hundred

Question 2:

To convert a decimal to a percentage, you multiply by ______.

Correct Answer: 100

Question 3:

1/4 is equal to ______%.

Correct Answer: 25

Question 4:

0.5 is the same as ______%.

Correct Answer: 50

Question 5:

______% of 100 is 75.

Correct Answer: 75

Question 6:

To find what percent one number is of another, you divide the part by the ______.

Correct Answer: whole

Question 7:

The word 'cent' comes from the number ______.

Correct Answer: 100

Question 8:

20% of 50 is ______.

Correct Answer: 10

Question 9:

The short way to remember 'percent' is 'per ______'.

Correct Answer: 100

Question 10:

Dividing the top number by the bottom number of a fraction will give you a ______.

Correct Answer: decimal

Educational Standards

7.N.1:Read, write, represent, and compare rational numbers, expressed as integers, fractions, and decimals. Explain and apply the concept of absolute value. 7.N.1.2:Recognize and generate equivalent representations of rational numbers, including equivalent fractions. 7.A.2.2:Solve multi-step problems with proportional relationships (e.g., distance-time, percent increase or decrease, discounts, tips, unit pricing, mixtures and concentrations, similar figures, other mathematical situations).

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