Understanding ratios can really help Year 7 students solve tricky problems by showing how different amounts relate to each other. A ratio looks at two or more values and makes these relationships easier to see.

Key Concepts:

• What is a Ratio? A ratio like $3:2$ means that for every 3 of one thing, there are 2 of another.

• Proportions: It’s important to know that $3:2$ is the same as $6:4$. This helps students change amounts without confusion.

Practical Example:

Think about a recipe that needs a ratio of ingredients like $2:1$ (flour to sugar). If students want to make twice as much, they can use the ratio to quickly calculate the new amounts:

• Original: $2 \text{ cups of flour} + 1 \text{ cup of sugar}$
• Doubled: $4 \text{ cups of flour} + 2 \text{ cups of sugar}$

When students understand ratios, they can tackle complex problems like mixing ingredients or planning projects more easily. This makes math more fun and easier to understand!