Tuesday 26 November 2019

Maps and Scales

Following on from our seerah work on the Isra' and Mi'raaj, I thought now would be a nice time to look at the big atlas (they've only used their junior atlas so far) and introduce them to the concept of scales.

First, we revised which units are used for measuring length/distance and compared them to each other i.e. how many mm in a cm, cm in a m, m in a km. So which unit would be the most sensible for measuring the distance between Makkah and Jerusalem? They chose km. 😁

Then I showed them the atlas and told them we could use it to calculate the actual distance between those two places. Nowadays, we can easily use the internet to find out the answer - but before that technology existed, this is what we would have done instead!

They used the contents page to help them find the right page in the atlas (they knew they needed to look in either Asia or Africa) and then found Makkah and Jerusalem on the map. I asked them to measure the distance - what would they need? A ruler. At first they tried to do it in cm and said "around 6cm", so I told them to use mm - which is another new skill for them today! M said 62mm and F 64mm, so I said we'd go in between and say it's 63mm.


So is the distance between Makkah and Jerusalem 63mm?? M laughed and said her hand was bigger than that! So I pointed out the scale at the bottom of the page and explained this to them: the map was drawn to scale so that every 1cm actually meant 200km in real life!

The next bit of maths I did on the whiteboard and had them help with the arithmetic, but I didn't expect them to follow along with the method... So we calculated that if 1cm = 200km then 1mm = 20km. 1mm x 20 = 20km, so 63mm x 20 = 1260km. So the distance between Makkah and Jerusalem must be around 1260km.

Was it? We typed it into Google to check and found the answer given to be 1486km! Which is pretty close! We'd recently done work on rounding, so I had them round the two answers to the nearest 100km, i.e. 1300km and 1500km, and they agreed these were pretty similar.

Next, I asked them to find the page of the UK so we could calculate some distances between e.g. Birmingham and Ipswich.

M found the page quickly and they enjoyed looking at the map for a few minutes, pointing out familiar places: Birmingham, Ipswich, Felixstowe, Woodbridge, Leicester, Nottingham (where Papa's at work today!), London...

Then they repeated what they did before, in turn, and measured the distance between Birmingham and Ipswich to be 106mm. They both agreed at the same distance this time.


I asked them if Birmingham and Ipswich were further away from each other than Makkah and Jerusalem then, because 106mm was more than 63mm? They both laughed and said no, of course not. 😂 I prompted them by asking if the scale of the maps on both pages was the same or different then and they correctly answered it must be different. 👍

We did some more calculations on the whiteboard (again, not expecting them to follow the method!) and worked out that Ipswich is 265km away from Birmingham. Google came up with 264.2km, which they were very pleased with! 😁😁

Finally, we compared the two distances with each other by rounding... So Makkah to Jerusalem was around 1500km and Birmingham to Ipswich was around 300km... So how many times more is the distance between Makkah and Jerusalem, i.e. how far Prophet Muhammad (SAW) travelled in one night compared to when we go to visit Nani's house? With a bit of prompting (mainly me scaling the numbers down by dividing by 100!) they were happy it was 5 times more.

So if it takes us around 3 hours to get to Nani's house by car, how long would it take us by car to get to Jerusalem from Makkah? F quite quickly understood we needed to multiply 3 hours by 5, so 15 hours. This gave them some kind of tangible idea of how far the Prophet (SAW) travelled and why the disbelievers found it so hard to believe him!

How long did they say it should take? 1 month, i.e. around 30 days by camel. So if we were to travel the distance to Ipswich by camel, as they would have done in those days, how long would it take us? This was a little more difficult but they worked out they would need to divide 30 by 5, since the difference in the journey length was 5 times, i.e. 6 days. Can you imagine taking 6 days to get to Nani's house! But nowadays we can just get in the car and drive in only 2.5-3hrs! 😱

We finished there, but I noticed the two of them poring over the atlas together while I was getting lunch ready, MashaAllah. 😆💕

No comments:

Post a Comment