Guest Post - Maths Fact Families

In today's guest post, Shelly explains how she has been using our Fact Family Mats with her children to learn simple fact families up to 10 as well as look at bigger numbers, times tables, fractions and decimals.

Over to Shelly:

I tend to print quite a few pages for all the kids learning activities so when I come across a page that I know we can use and reuse over and over again I get very excited. The Make a Fact Family Mat Blank page is one of those pages. I have printed a few out and they are inside our write and wipe pockets so the kids can use them over and over again as a basic maths template. I know most people think of maths fact family resources as being for numbers up to 10. Yes, they are perfect for that - but don’t stop there.  A maths fact family is a group of maths facts about the same numbers. So you can use them for addition and subtraction, fractions, multiplication and division and they can be used for small numbers and large numbers.

If you have read any of the previous guest posts I have written about Activity Village maths pages, you probably saw how much we love maths manipulatives! I think they work really well with the fact family printables.  When I first introduced a maths fact family to my youngest we used our snap cubes to represent the total number and we also used some magnetic numbers. I love using magnetic numbers with younger children as the kids can feel the shape of the numbers which helps them remember how to write the numbers.  

Using write and wipe pockets, dry wipe pen and snap cubes
Using write and wipe pockets, dry wipe pen and snap cubes

Using snap cubes and magnetic numbers
Using snap cubes and magnetic numbers

Once he had played around a bit and got used to the idea, he had a go at creating his own pages. He choose to use craft pom- poms for his pages.

Making a fact family for number 8
Making a fact family for number 8 using craft pompoms

I like the idea of sticking with the same page format for bigger numbers as it reinforces the concept that the relationship between addition and subtraction does not change just because the numbers get bigger.  Whether you are adding 2 to 8 or 20 to 80 the same inverse relationship applies.

Fact family of 100

And when you start introducing multiplication and division the Make a Fact Family Mat Blank - version 2 is perfect. We recently showed my youngest that "2 times" is the same as doubling and that "divided by 2" is the same as halving. Here you can see how we took the number 12 and split the 12 in half to get 6+6 = 12. He wrote out the addition sum and then turned the addition sum into a multiplication sum - 2 groups of 6 is the same as 6x2 = 12.  

Using the fact family mats for the 2 times table
Using the fact family mats for the 2 times table

With my oldest we have been using the same fact family page (Make a Fact Family Mat Blank - version 2) for some fraction work. We started by taking a whole number and splitting it into its fractions: ½ + ½ or 2/3 +1/3.  We did multiple versions of this as it reinforced the idea that even when you work with fractions the same addition and subtraction rules apply if ½ + ½ = 1 then 1 - ½ = ½.  

Using the fact family mat for fractions
Using the fact family mat for fractions

We then worked on decimals, to show that introducing decimals does not affect that inverse relationship between addition and subtraction. So 0.5 + 0.5 = 1 and 1 - 0.5 = 0.5. By writing out the fractions and decimals on the same fact family page it also helps to reinforce that whether you write it as ½ or as 0.5 it means the same amount.

Using the fact family mat for fractions and decimals
Using the fact family mat for fractions and decimals

Collage Activities with a Mixed-Age Group

This is a guest post from Shelly. Shelly is a home educating parent of two children aged 6 and 9. She blogs at ofamily learning together where she shares ideas on their different learning activities including lots of hands-on maths, arts and crafts and anything else that is part of their home educating lifestyle.

You can find more guest posts by Shelly, and a list of all our guest posts, here.

 

 

 

 

Maths Fact Families
Thursday, 2nd November 2017

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