7th Grade Math

Pre-algebra concepts, geometry, and statistical thinking for seventh grade students.

Basic Concepts

Proportional Relationships

Comparing and Scaling Quantities

A proportional relationship means two quantities always have the same ratio. If you double one, the other doubles too!

Recognizing Proportions

You can spot proportional relationships in recipes, maps, and speed calculations. They are often written as \(y = kx\), where \(k\) is the constant of proportionality.

Using Proportions

Set up proportions to solve problems like, "If 3 apples cost $6, how much do 5 apples cost?"

Why It Matters

Proportions help you scale up or down in real life, from resizing a photo to converting currencies while traveling.

Quick Check

  • If the ratio stays the same, it's proportional.

Examples

  • Doubling a recipe's ingredients keeps the taste the same.

  • A map scale: 1 inch represents 10 miles.

In a Nutshell

Proportional relationships let us predict and compare quantities in everyday life.