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Percentages & Proportions Guide

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Percentages & Proportions Guide

Mathematical symbols and percentage charts

🎯 Learning Goals & Key Concepts

I can statements:

I can convert between percentages, ratios, and fractions
I can solve problems involving percentages using ratios
I can use proportional reasoning to find missing values in percent problems

Key Terms:

Percent: A ratio that compares a number to 100 (% means "out of 100")

Ratio: A comparison of two quantities (written as a:b or a/b)

Proportion: An equation showing two ratios are equal

1. Complete the conversion chart:

25% = _____ : 100 = _____/100 = _____/4

50% = _____ : 100 = _____/100 = _____/2

75% = _____ : 100 = _____/100 = _____/4

📊 Converting Between Forms

2. Convert these percentages to fractions in simplest form:

a) 20% = _____

b) 60% = _____

c) 35% = _____

3. Convert these fractions to percentages:

a) 3/4 = _____%

b) 2/5 = _____%

c) 7/10 = _____%

4. Which represents the same value as 40%? Circle all that apply:

40:100

2/5

4:10

8/20

5. Show your work to solve this proportion:

If 15 out of 60 students wear glasses, what percentage of students wear glasses?

💰 Real-Life Applications

6. A $80 video game is on sale for 25% off. What is the sale price?

Step 1: Find the discount amount: 25% of $80 = _____

Step 2: Subtract from original price: $80 - _____ = _____

Sale Price: $_____

7. If sales tax is 8%, how much tax will you pay on a $45 purchase?
8. A restaurant bill is $32. You want to leave an 18% tip. How much is the tip?
9. Reflection: Explain in your own words how percentages, ratios, and fractions are connected.
10. Success Check: Circle the statement that best describes your understanding:

I can convert between all three forms and solve real-world problems

I can convert between forms but need help with word problems

I understand the concepts but need more practice

I need additional support with these concepts

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