📝 Practice Worksheets
🛠️ Related Tool
🔑 Key Concepts
- Percent change measures how much a quantity changes compared to its original value.
- If the new value is greater than the original value, the percent change is a percent increase.
- If the new value is less than the original value, the percent change is a percent decrease.
- A common formula is \( \frac{\text{new} - \text{original}}{\text{original}} \times 100 \).
- You can also use percent multipliers such as \( 1.05 \) for a 5% increase or \( 0.85 \) for a 15% decrease.
✏️ Worked Examples
🧠 Math Vocabulary
- Percent Change: the percent that describes how much a value increases or decreases compared to its original value.
- Original Value: the starting amount before the change.
- New Value: the amount after the change happens.
- Percent Increase: a positive percent change.
- Percent Decrease: a negative percent change.
💡 Main Idea
Percent change shows how much an amount goes up or down compared to where it started. By comparing the new value to the original value, students can determine whether a situation represents an increase or a decrease and describe that change as a percent. This is a powerful skill in consumer math, financial literacy, and algebraic reasoning.
📚 What You Should Already Know
Before studying percent change, students should know how to convert between fractions, decimals, and percentages, and how to find a percent of a number. Students should also be comfortable subtracting to find the amount of change and solving simple one-step equations.
🚀 What Comes Next
After learning percent change, students can apply the same reasoning to discounts, sales tax, markup, markdown, simple interest, and interpreting real-world changes in prices or quantities. These ideas also connect to proportional reasoning and multi-step percent applications.
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