🔑 Key Concepts
- A percent increase means an amount gets larger by a given percent of the original amount.
- You can find a percent increase by first finding the increase amount and then adding it to the original amount.
- You can also add \(100\%\) and the percent increase to create a decimal multiplier.
- For example, a \(25\%\) increase means multiply by \(1.25\).
- Percent increase problems help students connect percentages, decimals, multiplication, and real-world change.
✏️ Worked Examples
🧠 Math Vocabulary
- Percent Increase: the amount an original value grows by, written as a percent.
- Original Amount: the starting value before the increase.
- Increase: the amount added to the original value.
- New Amount: the total after the increase has been added.
- Multiplier: a decimal that represents the total percent, such as \(1.25\) for a \(25\%\) increase.
💡 Main Idea
To find a percent increase, students can think of the original amount as \(100\%\), add the extra percent, and then multiply by the total percent written as a decimal. This strategy is efficient and helps students quickly calculate new amounts after an increase.
📚 What You Should Already Know
Before solving percent increase problems, students should know how to convert a percent to a decimal, multiply decimals by whole numbers, and understand that a percent means “out of 100.”
🚀 What Comes Next
After learning basic percent increase, students can move on to percent decrease, percent change word problems, markup, markdown, sales tax, and other consumer math applications that build on the same idea.
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