Learn: Ratio and Proportion

Welcome!I've reviewed your growth areas and created this lesson to help strengthen your understanding of Ratio and Proportion. We'll focus on simplifying ratios and solving proportional problems effectively.

What is Ratio and Proportion?Ratio compares two or more quantities to show their relative sizes, often written as a:b.Proportion refers to the equality between two ratios, showing how one quantity changes relative to another.

Simplifying RatiosRatios can be simplified by dividing both terms by their highest common factor (HCF). For example, the ratio 12:18 simplifies to 2:3 because 6 is the HCF.

Proportional ProblemsA proportion involves two equivalent ratios. For example, if 3 apples cost £1.50, then 6 apples will cost £3.00 because the ratio 3:1.50 is proportional to 6:3.00.

Using Ratios in Real LifeRatios are used in recipes, maps (scale drawings), and sharing money. For example, if a recipe calls for a ratio of 2:3 for sugar to flour, it means 2 parts sugar for every 3 parts flour.

Solving Ratio ProblemsTo divide an amount in a given ratio, add the parts of the ratio and divide the total amount accordingly. For example, splitting £60 in the ratio 2:3 means £60 ÷ (2+3) = £12 per part. Multiply by the ratio parts to get £24 and £36.

Review Time!Great work! You've learned about simplifying ratios, proportional problems, and using ratios in real-life scenarios. Let's test your understanding with a few questions.