7G have been working on their ratio and proportion unit over the last few weeks. Here is one student’s view of their experience of the topic:
“Recently in Maths, we have been studying inverse and direct proportion. We started off with direct proportion which means as one variable increases, the other variable also increases. For example, if five hamburgers cost £2.30, how much does nine cost? This was quite easy to solve by using the unitary method where we found the cost of one burger first and then multiplied that by nine.
We did lots of practice of these and then we moved onto inverse proportion. This was more complicated because as one variable increases, the other decreases. We started off by looking at the following problem:
At first, lots of us thought this job would take twice as long but after we discussed it, we realised that it would actually take half of the time!
It has been interesting learning about inverse proportion as at first you think the answer is easy and you can quickly solve it. However, a lot more thought is needed and it can be quite challenging!”
Amy M, 7G
Here are some more examples of direct and inverse proportion work from 7G:
Can you solve this problem?
It takes an aeroplane 5 hours to fly from London to New York at an average speed of 500 mph. How long would it take if the aeroplane flew at an average speed of 600 mph?
Answer: 4 hours 10 minutes