Exploring Direct Proportion: From Theory to Real-World Applications
What do you already know about direct proportion?
Items in this lesson
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.
