When I think about how ratios, proportions, and percentages fit together in Year 7 math, it feels like putting together a puzzle.

Let's start with ratios. A ratio shows the relationship between two amounts.

For instance, if you have 2 apples and 3 oranges, the ratio of apples to oranges is written as 2:3.

Now, proportions take ratios a step further. They show that two ratios are the same.

Imagine another case where you have 4 apples and 6 oranges. The ratio of these apples to oranges is 4:6. If we simplify that, we find it equals 2:3. We can write it like this:

2/3 = 4/6

This idea is really helpful when we want to compare different situations or adjust amounts.

Now let’s talk about percentages. Percentages are another way to show a ratio but specifically out of 100.

For example, if we want to know what percentage 2 apples are out of 5 fruits in total (which includes 2 apples and 3 oranges), we can calculate it like this:

Percentage = (part/whole) × 100

So, we have:

(2/5) × 100 = 40%

In summary, ratios, proportions, and percentages all connect to each other.

Understanding these concepts gives us a strong base for solving math problems.

It makes math feel less scary and a lot more fun!