Green Bridge Learning Resource For Proportion

Overview

When two quantities are linked so that changing one always changes the other in a predictable way, we say they are in proportion. This Higher-tier topic builds on the ratio and proportion work from Foundation by introducing algebraic equations for direct and inverse relationships.

You will learn to set up proportionality equations using a constant of proportionality, solve problems involving direct and inverse proportion (including squared and cubed relationships), and connect the algebra to the shape of the corresponding graph.

Lesson Evaluation

Congratulations on completing the lesson on Proportion. Now that youve explored the key concepts and ideas, its time to put your knowledge to the test. This section offers a variety of practice questions designed to reinforce your understanding and help you gauge your grasp of the material.

You will encounter a mix of question types, including multiple-choice questions, short answer questions, and essay questions. Each question is thoughtfully crafted to assess different aspects of your knowledge and critical thinking skills.

Use this evaluation section as an opportunity to reinforce your understanding of the topic and to identify any areas where you may need additional study. Don't be discouraged by any challenges you encounter; instead, view them as opportunities for growth and improvement.

If y is directly proportional to x, which graph shows this? A) A straight line through the origin B) A curve through the origin C) A straight line not through the origin D) A horizontal line Answer: A
y is inversely proportional to x. When x = 5, y = 4. What is y when x = 10? A) 8 B) 2 C) 20 D) 1 Answer: B
y is proportional to x squared. When x = 3, y = 18. What is k? A) 6 B) 2 C) 9 D) 3 Answer: B
Which equation represents inverse proportion? A) y = kx B) y = k/x C) y = kx + c D) y = k + x Answer: B
y is inversely proportional to the square root of x. When x = 4, y = 6. Find y when x = 16. A) 3 B) 12 C) 1.5 D) 24 Answer: A