🔑 Key Concepts
- Percent means “out of 100.”
- In percent problems, the word of usually points to the whole.
- The word is usually points to the part.
- A percent proportion can be written as part over whole equals percent over 100.
- Use cross products or equivalent fractions to solve for the unknown value.
✏️ Worked Examples
🧠 Math Vocabulary
- Percent: A ratio that compares a number to 100.
- Part: The amount being compared to the whole.
- Whole: The total amount or base amount.
- Proportion: An equation showing that two ratios are equal.
- Percent Proportion: A proportion that compares part over whole to percent over 100.
💡 Main Idea
In this lesson, students learn how to solve percent problems using is and of statements. The word is usually identifies the part, while the word of usually identifies the whole. Once the part, whole, and percent are placed correctly in a proportion, students can use cross products or equivalent fractions to solve for the missing value.
📚 What You Should Already Know
Students should already understand fractions, ratios, equivalent fractions, percents, and how to solve simple proportions. It also helps to remember that percent means “out of 100.”
🚀 What Comes Next
After solving percent proportions with is and of statements, students can apply the same reasoning to percent word problems involving discounts, tax, tips, percent increase, percent decrease, grades, and real-world proportional relationships.
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