🔑 Key Concepts
- Percent means “out of 100.”
- The part is the amount being compared to the whole.
- The whole represents 100%.
- A percent proportion can be written as part over whole equals percent over 100.
- Equivalent fractions and proportions can be used to find the percentage.
✏️ Worked Example
🧠 Math Vocabulary
- Percent: A ratio that compares a number to 100.
- Percentage: A part of a whole expressed as a percent.
- Part: The amount being compared to the total.
- Whole: The total amount, which represents 100%.
- Proportion: An equation showing that two ratios are equal.
💡 Main Idea
In this lesson, students learn how to find a percentage by comparing the part to the whole. The number correct is placed over the total number of problems, and that fraction is rewritten as an equivalent ratio out of 100. This helps students connect fractions, proportions, and percentages.
📚 What You Should Already Know
Students should already understand fractions, equivalent fractions, ratios, and how to simplify fractions. It also helps to know that percent means “out of 100.”
🚀 What Comes Next
After finding percentages using proportions, students can solve percent word problems involving discounts, tax, tips, percent increase, percent decrease, grades, data displays, and real-world comparisons.
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