Fraction, Prop., Percent Power-Up!

Gary Storts

Tier 2

Lesson Plan

Fraction, Prop., Percent Power-Up!

Students will review and demonstrate their understanding of equivalent fractions, proportions, and percentages by accurately converting between these forms.

Mastering conversions between fractions, proportions, and percentages builds a strong foundation for advanced mathematical concepts and real-world problem-solving, making everyday calculations much easier.

Audience

6th Grade Students

Time

15 minutes

Approach

Review, guided practice, and quick assessment.

Materials

Whiteboard or Projector, Markers or Pens, Power-Up Slides, Quick Check Worksheet, and Quick Check Answer Key

Prep

Materials and Review

5 minutes

Review the Power-Up Slides to ensure familiarity with the content and flow.
- Print copies of the Quick Check Worksheet for each student.
- Have the Quick Check Answer Key ready for quick checking.
- Prepare a whiteboard or projector to display the slides.

Step 1

Introduction & Review

3 minutes

Greet students and introduce the lesson: "Today, we're going to have a quick power-up session to sharpen our skills with fractions, proportions, and percentages. These are super important for everything from cooking to understanding sales!"
- Use the first few slides of Power-Up Slides to quickly review what equivalent fractions, proportions, and percentages are, and how they relate to each other. Ask quick questions to check for prior knowledge.

Step 2

Guided Practice: Conversions

7 minutes

Transition to the practice slides in Power-Up Slides.
- Work through 2-3 examples together as a group, converting a fraction to a percentage, a percentage to a proportion, and so on.
- Encourage students to explain their thinking process.
- Address any misconceptions immediately. "Remember, 'percent' means 'out of one hundred'!"

Step 3

Independent Practice: Quick Check

4 minutes

Distribute the Quick Check Worksheet.
- Explain that students will have a few minutes to complete the worksheet independently to see what they've learned.
- Circulate around the room to provide individual support and answer questions quietly.

Step 4

Wrap-Up & Review

1 minute

Briefly go over the answers to the Quick Check Worksheet using the Quick Check Answer Key, or have students self-check.
- Address any common errors or lingering questions.
- End with a positive reinforcing statement: "Great work, mathematicians! You're building strong connections between these important number concepts!"

0 educators
use Lenny to create lessons.

No credit card needed

Slide Deck

Fraction, Proportion, Percent Power-Up!

Let's boost our math skills!

Welcome students and introduce the objective of the power-up session. Emphasize the importance of these concepts in everyday life. Ask students what they already know about these terms.

Equivalent Fractions: The Same, Just Different Looks!

Fractions that represent the same value, even if they have different numerators and denominators.

Example: 1/2 = 2/4

How do we find them?

Multiply or divide the top and bottom by the same number!

Define equivalent fractions. Show an example like 1/2 = 2/4. Ask students for other examples. Briefly discuss how to find equivalent fractions (multiply or divide numerator and denominator by the same number).

Proportions: Fair Comparisons!

When two ratios or fractions are equal.

Example: 1/2 = 5/10

They show that two quantities are related in the same way.

Define proportions as two equal ratios. Give a simple example like 1/2 = 5/10. Explain that they are used to compare quantities. Ask: "Where do we see proportions in real life?" (e.g., scaling recipes, maps).

Percentages: Out of 100!

A way to express a number as a fraction of 100.

Example: 50% = 50/100

The word "percent" literally means "per one hundred" or "out of one hundred."

Define percentage as 'out of one hundred'. Give an example like 50% = 50/100. Discuss common percentages (e.g., 25%, 50%, 75%, 100%). Ask: "When do you hear about percentages?" (e.g., sales, grades, battery life).

Connecting the Dots: Conversions!

They're all just different ways to say the same thing!

Let's try an example:
How can we turn 1/4 into a percentage? How about a proportion?

Introduce the idea of converting between them. Start with a simple fraction. Walk through converting 1/4 to a percentage and a proportion. Guide students through the steps.

Guided Practice 1: Fraction to Percent/Proportion

Convert 3/5 into:

A percentage
A proportion

Guided Practice 1: Convert 3/5 to a percentage and then write it as a proportion. Encourage students to participate and explain their steps. Provide hints if needed.

Guided Practice 2: Percent to Fraction/Proportion

Convert 75% into:

A fraction (in simplest form)
A proportion

Guided Practice 2: Convert 75% to a fraction (simplest form) and then write it as a proportion. Guide students through the simplification process for fractions.

Time for a Quick Check!

Now it's your turn to show what you know!

Complete the Quick Check Worksheet individually.

Introduce the quick check worksheet. Explain that this is for individual practice and to see what they've learned. Reassure them that it's a quick check, not a test.

You Rock, Math Whizzes!

You did a fantastic job connecting fractions, proportions, and percentages today.

Keep practicing, and these concepts will become second nature!

Wrap up the session. Briefly review the answers and clarify any remaining questions. Praise their effort and understanding.

Worksheet

Quick Check: Fractions, Proportions, & Percentages

Name: _________________________

Directions: Convert the given values to the requested forms. Show your work where applicable.

Fraction to Percentage
Convert $\frac{3}{4}$ to a percentage.
Percentage to Fraction
Convert 20% to a fraction in its simplest form.
Proportion from Fraction
Write a proportion for $\frac{1}{5}$.
Percentage to Proportion
Write a proportion for 60%.
Identify the Equivalent
Circle the value that is not equivalent to the others:

$\frac{1}{2}$ 0.5 25% 50/100

Answer Key

Quick Check: Fractions, Proportions, & Percentages - Answer Key

Fraction to Percentage
Convert $\frac{3}{4}$ to a percentage.
- Thought Process: To convert a fraction to a percentage, divide the numerator by the denominator and then multiply by 100, or find an equivalent fraction with a denominator of 100.
- $\frac{3}{4} = 3 \div 4 = 0.75$
- $0.75 \times 100 = 75%$
- Answer: 75%
Percentage to Fraction
Convert 20% to a fraction in its simplest form.
- Thought Process: A percentage means "out of 100", so write the percentage as a fraction with a denominator of 100, then simplify.
- $20% = \frac{20}{100}$
- Simplify by dividing both numerator and denominator by their greatest common divisor, which is 20.
- $\frac{20 \div 20}{100 \div 20} = \frac{1}{5}$
- Answer: $\frac{1}{5}$
Proportion from Fraction
Write a proportion for $\frac{1}{5}$.
- Thought Process: A proportion is two equal ratios. You can find an equivalent fraction by multiplying the numerator and denominator by the same number.
- Example: Multiply by 2: $\frac{1 \times 2}{5 \times 2} = \frac{2}{10}$
- Answer: $\frac{1}{5} = \frac{2}{10}$ (Other correct answers include $\frac{1}{5} = \frac{20}{100}$, etc.)
Percentage to Proportion
Write a proportion for 60%.
- Thought Process: First, convert the percentage to a fraction, then find an equivalent fraction to form a proportion.
- $60% = \frac{60}{100}$
- Simplify the fraction: $\frac{60 \div 20}{100 \div 20} = \frac{3}{5}$
- Now, find an equivalent fraction for $\frac{3}{5}$ to make a proportion. Example: Multiply by 2: $\frac{3 \times 2}{5 \times 2} = \frac{6}{10}$
- Answer: $\frac{60}{100} = \frac{3}{5}$ (Other correct answers include $\frac{3}{5} = \frac{6}{10}$, etc.)
Identify the Equivalent
Circle the value that is not equivalent to the others:

$\frac{1}{2}$ 0.5 25% 50/100
- Thought Process: Convert all values to a common format (e.g., percentage or decimal) to compare.
  - $\frac{1}{2} = 0.5 = 50%$
  - 0.5 = $50%$
  - 25% = $0.25$
  - $50/100 = 0.5 = 50%$
- Answer: 25%