How Is Maths Evident In Children’s Everyday Lives?


How Is Maths Evident In Children’s Everyday Lives?

When looking at different ways of supporting children’s learning it is important to ask the question, “how is maths evident in children’s everyday lives?”

If we incorporate this into natural discussions and living this will support what they are learning in formal settings.

One way to do this is to consider different areas of the home and then outside.  In this article, I will concentrate on the kitchen.

My suggestions will be divided into KS1 and then KS2 and beyond.  These are only rough guides.

Some pre-school children will be ready to try out some of the activities under Key Stage 1.

A child’s success isn’t based on where they start, but on where they finish. Continuing education is more important than learning something by a specific age, so don’t worry if your child isn’t able to do something that you expected them to, just gently guide them in the right direction and try to make it fun for both of you.

Maths in Children’s Everyday Lives in the Kitchen

Finding maths in the kitchen is perhaps the easiest and most obvious place to start so that is why I have chosen it for this article.

Maths in the kitchen

KS1 Children

Counting – let’s start with counting.

There are endless things in the kitchen that you can count:

– Ingredients, jars tins, saucepans, cutlery, pasta pieces, and so on.

Then, you can use a multitude of questions rather than just asking children to count something. At other times you can just explain what you’re doing so that they hear appropriate vocabulary.

“How many eggs were there altogether?”

“How many eggs have I got left?”

“How many eggs have I used?”

” Auntie Sue and Jack are coming for dinner today. How many knives and forks will we need?”

“There are already 3 forks on the table. How many more do we need?”

Cutlery

Groups of…

Use inexpensive ingredients to experiment with making groups of different sizes.

“Using pasta pieces can you make me 3 groups of 4?”

“Now make me two groups of 6.”

“Which is the biggest? How do you know?”

These could be painted and then glued onto a piece of paper in appropriate groups and kept as evidence of an investigation, or just as a piece of artwork that the children like looking at.

Pasta

Measuring

Measuring is perhaps the most obvious thing to do in the kitchen that uses maths.

This could be part of a cooking activity or it could just be done on its own.

“Measure out 3 cups of flour.”

“How much does this egg weigh?”

“Add 300ml of milk.”

“Which is heavier, stevia or sugar?”

“Which spoon is the longest?”

Measuring

Position

The position is part of the maths curriculum for younger children.

“Please take out the top box.”

” I’m going to put the cake on the middle shelf.”

“Let’s put some icing on top of the cake.”

“Take the orange out of the box.”

Box of oranges

Fractions

” I’m going to eat half a muffin.”

“Let’s cut this apple into quarters.”

“I want to put this cake into 6 pieces. First I’m going to cut it in half, next I’m going to cut each half into 3 pieces so I’m going to cut it into thirds. This will give me 6 pieces altogether as 2 x 3 is 6.”

An eighth of an apple tart

Shapes

“Are there any cubes in the kitchen?”

“This rolling pin is a cylinder shape.”

“What shapes can you see in the Toblerone box?”

Rolling pin maths in children's everyday lives

KS2 Children – and beyond

Have a look at the sections above. Some of the KS1 questions can be adapted for KS2

These suggestions and questions are just a very general guideline. You’ll need to adapt them depending on the age and ability of your child.

 

Money

Make a shopping list and then estimate how much the total bill is likely to be.

“I’m going to get us two fish and one portion of chips. That should cost us £10.54. What change should I get from £20?”

“Here is £10. Go to the ice cream van outside and choose three different ice creams. Make sure it comes to less than £6 as I need £4 in change for the car park later tonight.”

Fish and chips

Food

“How many potatoes do you think we should cook for the four of us?”

“How much do they weigh?”

“What weighs the most – the cauliflower or the cabbage?”

“What’s the difference?”

“Is it cheaper to eat chips or baked potatoes?”

“How did you work that out?”

“Is there more fat in a pan au chocolat or an almond croissant?”

“What is the difference as a percentage?”

“Which of these soups has the greatest percentage of vegetables in it?”

“Which is better value- a multipack of 24 bags of crisps costing £4.15, or a 6-pack of crisps costing £1.05?”

“How much money could you save using a box of milkshake powder and milk compared with buying ready-made milkshakes?”

Pastries

Cooking

” How hot does the oven have to be?”

“How long does it usually take to heat up to that temperature?”

“Shall we time it?” ” Let’s guess and see who is nearest.”

“How long will it take to cook?”

“If I put it in at 3 when will it be ready?”

“If I want it to be ready by 6 when do I have to put it in the oven?”

“In what order should I put things into the oven, so that everything is ready by 7:30?”

Labels

Looking at labels on food can be a huge source of inspiration.

You can find the same sort of information on online shopping sites

Online shopping sites

Online shopping sites have huge amounts of data. You can spend quite a long time on any one product or do some comparisons.

As an example, on on on I’m going to look at a tin of Heinz vegetable soup on the Tesco website:

https://www.tesco.com/groceries/en-GB/products/258147794

Heinz vegetable soup photo

So here we have a photo and we can immediately start discussing the picture.

“What is the soup going to have in it, do you think?”

Then we can have a look at the offers.

“How much is each tin if you buy 4 of them?”

“How much is each tin  if you buy by 8 of them?”

“How accurate is 24p for 100g for one tin?”

“Explain your answer.”

“Would you pay more for 7 tins or 8 tins?”

Nutritional values

Nutritional values

You’ll notice nutritional values like these on all foods in the UK.

In just this one little diagram we have weights, decimals, percentages, comparisons, ratios and conversions! No wonder some schools do whole topics around food labels.

These figures show the recommended maximum that any adult should eat within one day.

“If someone lived off soup for a day, how many tins should they eat as a maximum so as not to go over any of the recommended amounts?”

“Find a recipe for vegetable soup and compare the amount of salt that goes into a homemade recipe and a tin of soup. What do you notice?”

“What is 5% as a fraction?”

“What is the ratio of saturates to fats?”

Ingedients

Ingredients

Finally let’s have a look at the ingredients.

“How much water do you think there is in this can?” – you don’t have to know the answer to all the questions, you can just ponder some of them.

“Why don’t they give the percentage for all of the ingredients?”

“Do you think they ought to?”

“What is the ratio of tomatoes to peas by weight?”

“Could you make up a soup recipe and include the percentage of each ingredient?”

Finally…

I’m sure that as you have been reading this article you will have been thinking of lots of ideas of your own and they will be the best ones.

Also, listen out for your children’s questions. They will be even more interested in exploring what possible answers are if they have come up with the question themselves.

Of course, their questions won’t sound quite like my one did.

They might be more like:

“Where is my cup?”

“Why is soup so runny?”

“Why don’t you cut bigger pieces of cake?”

“Can’t you add more salt when you’re cooking?” – ok this might be from an older person! But you could explore it as a family.

 

Where next:

Try my Online Fractions Games page

 

 

 

 

 

 

 

 

 

 

 

 

Hundreds Chart Missing Numbers

Hundreds Chart Missing Numbers

Some children love the Hundreds Chart Missing Numbers activities and they are also very useful. There are lots of places on the web where you can find them.  I have chosen some websites here that do a bit more.

 

Reversed Hundreds Chart With Missing Numbers

What I also wanted was to be able to have a reversed hundreds chart. I was trying to figure out a way to create using Excel but although I could create the numbers, I couldn’t figure out how how to get the missing numbers.

Then I found this site.  It gives lots of different options.

You can have straightforward missing numbers and there are lots of fonts and colours to choose from. Then you can just click randomise to give you lots of different grids using the same options.

Hundreds chart missing numbers
Hundreds chart missing numbers

However, it is the “Edit Numbers” bit that really excites me!

Click on that and you get this pop up:

As you can see, you can use negative numbers and decimals and even change the increments. So by starting at 100 and setting the increments at -1, I have what I am after.

 

 

https://www.senteacher.org/printables/Mathematics/37/HundredSquarePrinter.html

Multiplication tables

4x Table

By starting at 4 and choosing an increment of 4, I can take the 4 x table all the way to 100 x 4.

One thing that struck me by looking at it, in this format, was that I realised why the 4 x table has the last digit 4,8,2,6,0, pattern running through it.  4×5=20 and so you are adding 20 to 2 to get to 24, 20 to 8 to get to 28, 20 to 12 to get to 32 and so on.

What else might your children notice?

What questions might you ask?

In the table are the numbers: 12, 112, 212, 312.  Would 412 be there if we carried on? Why or why not?

 

 

11 x table

What do you notice here?

Take a look at any 3-digit answer where the two outside numbers add up to the number in the centre.  In all these cases the two outside numbers will be the number of times 11 goes into the three-digit number.

For example,  594, 5+4=9,   and 54×11=594

If you have a 3-digit number where the two outside numbers do not add up to the number in the centre, then take away 1 from the first digit in order to work out how many times 11 goes into the whole number.

For example, 836,   8+6=14, so take 1 away from the first digit,  76×11=836.

You can use this information to help you multiply two-digit numbers by 11.

For example 35,   add 3 and 5 together to make 8 and your answer will be 358.  so 35 x 11 equals 358.

For example 38,  add 3 and 8 together to make 11 and your answer will be 418.   What you did here was to put the 11 in between these two numbers, but then to add Decrease the number in the hundreds column by 1. After all, multiplying by 11 is just multiplying by 10 and then multiplying by 1.By doing this as a column addition and you’ll see what I mean.

380 +

38

 

Take a look at some of the other tables and see what else you might notice.  Let me know what you spot in the comments area below.

Also, see How to teach multiplication tables

 

Some other websites which allow you to print off a free hundreds chart.

HomeSchoolMath.net

https://www.homeschoolmath.net/worksheets/number-charts.php

On this page, you can make a variety of pre-prepared charts but towards the bottom of the page there is also a “Number Chart Worksheet Generator”.

This allows you to create hundreds charts which skip numbers and you can also choose to highlight every, for example, 5th square.  In this example, I have chosen to start at 3, make my increments 3, and hight every 2nd square.

The obvious thing it shows is the 6 x table, but what else can you see?

I found myself adding up the digits of the answers.  What do you think I discovered?

 

 

Hundreds chart missing numbers
Hundreds chart missing numbers

 

 

Other types of hundreds charts

One website I enjoy using is http://www.math-aids.com/ . you can use it for free which I did for many years but then decided that there is so much on here to explore that it was really worth paying the subscription fee. This gets rid of all the adverts and gives the site a much cleaner feel.  I think the downloads are quicker as well.

Here are some of the other hundreds charts you can get.

Make puzzles for your kids to complete

http://members.math-aids.com/Hundreds_Chart/Puzzles.html

 

 

Create pictures by colouring in certain numbers

http://members.math-aids.com/Hundreds_Chart/Pictures.html

 

 

Create a hundreds chart showing whether the round up or down.

http://members.math-aids.com/Hundreds_Chart/

 

Create letters of the alphabet.

 

Is this useful?  Let me know any ideas of how you might use it.

The one thought I had would be to get children to add up the coloured numbers and see which were the most or the least.

 

 

Some games to play using the hundreds chart

Have a look at this site for some ideas of games to play with hundreds charts.

https://www.thoughtco.com/hundreds-chart-2312157

I would love to find other sites with more ideas on.

Please let me know if you find any.

 

 

Finally, you might want to look at these Youtube videos featuring hundreds charts

Here is a basic introduction to the hundreds chart.

 

Some basic patterns from Khan Academy

Adding and subtracting by 1 and 10 and how and why to use puzzle parts of the hundreds charts.

Some nice graphics on this video

Number game using puzzle pieces.

Subtraction on the 100s chart

Looking at multiples in the hundreds chart.