Exploring Direct Proportion: From Theory to Real-World Applications

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What do you already know about direct proportion?

Learning Objective

At the end of the lesson, you will understand direct proportion and apply it to solve real-world problems using algebra.

Brainstorming Session

Write one thing you remember about direct proportion on your mini whiteboard.

Understanding Direct Proportion

Direct proportion means two quantities increase or decrease at the same rate.

Algebraic Representation

If y is directly proportional to x, then y = kx, where k is a constant.

Real-World Contexts

Examples: Fuel cost to distance, recipe ingredients to servings.

Practice Problems

Solve: If y = 3x, find y when x = 5. Solve: If y = kx and y = 10 when x = 2, find k.

Extensions

Explore inverse proportion. How does it differ from direct proportion?

Review and Summary

Discuss key points covered today. Ensure all students can apply direct proportion in problems.

Write down 3 things you learned in this lesson.

Ask 1 question about something you haven't quite understood yet.

Write down 2 things you want to know more about.