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Fact families are three numbers that are related
to each other and can create four different
number sentences.
Fact families can create 2 addition number
sentences and 2 subtraction number sentences.
What relationships can you see between the numbers 3, 4 and 7?
3
7
4
There are four relationships between these three numbers.
3 + 4 = 7
4 + 3 = 7
7 – 3 = 4
7 – 4 = 3
8 + 5 = 13
If the addends are swapped around, is the sum the same?
Addend
Addend
Sum
5 + 8 = 13
The addends can be swapped and the
sum remains the same!
Addend
Addend
Sum
13 – 8 = 5
Minuend
Subtrahend
Difference
13 – 5 = 8
The subtrahend and the difference can be
swapped to quickly solve the question!
Minuend
Subtrahend
Difference
Look at the train made out of
cubes.
• Can you write an addition
number sentence to match
what you see?
• Is there more than one way
to write this number
sentence?
• Could you use a subtraction
number sentence to explain
what you see?
6 + 4 = 10
4 + 6 = 10
10 – 6 = 4
10 – 4 = 6
Use two coloured sets of cubes
to make your own train of at
least 10 cubes in length.
Write two addition and two
subtraction sentences to
explain what you have made.
Sally had 5 lollies. Jane had 8. How many did they have altogether?
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
5 + 8 = 13 13 – 8 = 5
8 + 5 = 13 13 – 5 = 8
Kate purchased 4 books to read in the holidays. Liam
purchased 9 more. How many books do they have altogether?
Create four number sentences for this problem.
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Jimmy had 12 toy cars. He gave 7 away to his brother. How
many toys does Jimmy have left?
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
12 – 7 = 5 7 + 5 = 12
12 – 5 = 7 5 + 7 = 12
Ben had 13 stamps. He gave 7 of them to his sister. How many
stamps did Ben have left?
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Create four number sentences for this problem.
Take one card from the 0 – 20
Digit Cards.
Find two other people who you
can create a fact family with.
Write four number sentences
that represent your ‘family’.
0 – 9 Digit Cards
10 – 20 Digit Cards
Our numbers are 9, 6 and 15.
We can make:
9 + 6 = 15 15 – 9 = 6
6 + 9 = 15 15 – 6 = 9
Symbols
I do: my turn to talk. This is the explanation section of our
lesson where you are required to listen.
We do: this is where we discuss or work on the concepts
together.
You do: your turn to be involved. You may be working in a
group or on an activity individually.

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Addition and subtraction fact families

  • 1.
  • 2. Fact families are three numbers that are related to each other and can create four different number sentences. Fact families can create 2 addition number sentences and 2 subtraction number sentences.
  • 3. What relationships can you see between the numbers 3, 4 and 7? 3 7 4
  • 4. There are four relationships between these three numbers. 3 + 4 = 7 4 + 3 = 7 7 – 3 = 4 7 – 4 = 3
  • 5. 8 + 5 = 13 If the addends are swapped around, is the sum the same? Addend Addend Sum
  • 6. 5 + 8 = 13 The addends can be swapped and the sum remains the same! Addend Addend Sum
  • 7. 13 – 8 = 5 Minuend Subtrahend Difference
  • 8. 13 – 5 = 8 The subtrahend and the difference can be swapped to quickly solve the question! Minuend Subtrahend Difference
  • 9. Look at the train made out of cubes. • Can you write an addition number sentence to match what you see? • Is there more than one way to write this number sentence? • Could you use a subtraction number sentence to explain what you see?
  • 10. 6 + 4 = 10 4 + 6 = 10 10 – 6 = 4 10 – 4 = 6
  • 11. Use two coloured sets of cubes to make your own train of at least 10 cubes in length. Write two addition and two subtraction sentences to explain what you have made.
  • 12. Sally had 5 lollies. Jane had 8. How many did they have altogether? 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 + 8 = 13 13 – 8 = 5 8 + 5 = 13 13 – 5 = 8
  • 13. Kate purchased 4 books to read in the holidays. Liam purchased 9 more. How many books do they have altogether? Create four number sentences for this problem. 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
  • 14. Jimmy had 12 toy cars. He gave 7 away to his brother. How many toys does Jimmy have left? 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 12 – 7 = 5 7 + 5 = 12 12 – 5 = 7 5 + 7 = 12
  • 15. Ben had 13 stamps. He gave 7 of them to his sister. How many stamps did Ben have left? 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Create four number sentences for this problem.
  • 16. Take one card from the 0 – 20 Digit Cards. Find two other people who you can create a fact family with. Write four number sentences that represent your ‘family’. 0 – 9 Digit Cards 10 – 20 Digit Cards Our numbers are 9, 6 and 15. We can make: 9 + 6 = 15 15 – 9 = 6 6 + 9 = 15 15 – 6 = 9
  • 17. Symbols I do: my turn to talk. This is the explanation section of our lesson where you are required to listen. We do: this is where we discuss or work on the concepts together. You do: your turn to be involved. You may be working in a group or on an activity individually.