x ÷ 9 + - Hill View Primary School
Ideas for learning the ‘Learn Its’! (number facts) Number triangles Write two out of the three numbers leaving the missing one for your child to fill in.
24
8
x÷
9
See using number facts on the next page for more information.
3
5
+-
4
See how many times your child can write the number sentence in a minute. Now repeat it writing the number sentence backwards. Write each part of the number sentence in bright colours. Make templates for your child to colour in the ‘Learn It’ and then stick it to a wall. Carry out quick fire tests Sing the times table or addition fact in different voices. Try to get a rhythm going. Remember you can sing on the way to school or at any moment you have 1 or 2 minutes spare. Take turns to say the times table or multiple in order. Remember little and often and these ‘Learn Its’ will soon be hardwired into your child’s brain.
Using the number facts •
•
It is important to understand the commutative law from as early age as possible. That is when adding and multiplying we can switch the numbers round but still derive the same answer. In child friendly language we call them ‘switchers’. 3 + 2 = 5, 2 + 3 = 5 4 x 3 = 12, 3 x 4 = 12 The next stage of learning would be that we can make four number sentences from one number sentence by understanding the relationship between addition and subtraction as well as multiplication and division. We call this the ‘Fact Family of Four’. 2 + 3 = 5, 3 + 2 = 5, 5 – 3 = 2, 5 – 2 =3 We can show this with 2 separate colour objects for the 3 and 2 then manipulating them accordingly.
3+2=5 2+3=5 5–3=2
5–2=3 4 x 3 = 12, 3 x 4 = 12, 12 ÷ 4 = 3, 12 ÷ 3 = 4 We can show this by grouping:
4 x 3 = 12 12 ÷ 4 = 3
3 x 4 = 12 12 ÷ 3 = 4 Or as an array:
•
•
It is now important to understand that = (equals) means the same as and that you can have the same on each side. This would mean that our Fact Family of Four can now become a Fact Family of Eight. You have to move the numbers round to start with the answer:
3+2=5 2+3=5 5–3=2 5–2=3
5=3+2 5=2+3 2=5-3 3=5–2
4 x 3 = 12 3 x 4 = 12 12 ÷ 4 = 3 12 ÷ 3 = 4
12 = 4 x 3 12 = 3 x 4 3 = 12 ÷ 4 4 = 12 ÷ 3
Alongside times tables facts being learnt and the ability to count in multiples to 10 (as well as counting in 25s) it is vital that children understand place value. There are only ten squiggles that represent each number and depending which column they are in determines their worth. Hence we label partitioning as finding out how much a squiggle is worth (Squiggleworth).
345 300 •
•
40
5
Once counting in multiples and understanding place value is accomplished we can apply the principle of ‘It’s nothing new’ to ‘Count Fourways’. The four ways are counting in 1s, 2s, 5s, and 25s. We can then use this knowledge for counting in lots of different ways. For example if we count in 1s we can count in tens, tenths, 0.1s and -1s. We can also count in hundreds, thousands and hundredths applying our understanding of place value. We have to ensure a full understanding of fractions and decimals along the way so lots of visual and practical activities are needed. It is also appropriate to learn about decimals through the context of money.
Hill View Primary School
Learn Its! Information on how to support your child in learning and using number facts.
24
8
x÷
9
See using number facts on the next page for more information.
3
5
+-
4
See how many times your child can write the number sentence in a minute. Now repeat it writing the number sentence backwards. Write each part of the number sentence in bright colours. Make templates for your child to colour in the ‘Learn It’ and then stick it to a wall. Carry out quick fire tests Sing the times table or addition fact in different voices. Try to get a rhythm going. Remember you can sing on the way to school or at any moment you have 1 or 2 minutes spare. Take turns to say the times table or multiple in order. Remember little and often and these ‘Learn Its’ will soon be hardwired into your child’s brain.
Using the number facts •
•
It is important to understand the commutative law from as early age as possible. That is when adding and multiplying we can switch the numbers round but still derive the same answer. In child friendly language we call them ‘switchers’. 3 + 2 = 5, 2 + 3 = 5 4 x 3 = 12, 3 x 4 = 12 The next stage of learning would be that we can make four number sentences from one number sentence by understanding the relationship between addition and subtraction as well as multiplication and division. We call this the ‘Fact Family of Four’. 2 + 3 = 5, 3 + 2 = 5, 5 – 3 = 2, 5 – 2 =3 We can show this with 2 separate colour objects for the 3 and 2 then manipulating them accordingly.
3+2=5 2+3=5 5–3=2
5–2=3 4 x 3 = 12, 3 x 4 = 12, 12 ÷ 4 = 3, 12 ÷ 3 = 4 We can show this by grouping:
4 x 3 = 12 12 ÷ 4 = 3
3 x 4 = 12 12 ÷ 3 = 4 Or as an array:
•
•
It is now important to understand that = (equals) means the same as and that you can have the same on each side. This would mean that our Fact Family of Four can now become a Fact Family of Eight. You have to move the numbers round to start with the answer:
3+2=5 2+3=5 5–3=2 5–2=3
5=3+2 5=2+3 2=5-3 3=5–2
4 x 3 = 12 3 x 4 = 12 12 ÷ 4 = 3 12 ÷ 3 = 4
12 = 4 x 3 12 = 3 x 4 3 = 12 ÷ 4 4 = 12 ÷ 3
Alongside times tables facts being learnt and the ability to count in multiples to 10 (as well as counting in 25s) it is vital that children understand place value. There are only ten squiggles that represent each number and depending which column they are in determines their worth. Hence we label partitioning as finding out how much a squiggle is worth (Squiggleworth).
345 300 •
•
40
5
Once counting in multiples and understanding place value is accomplished we can apply the principle of ‘It’s nothing new’ to ‘Count Fourways’. The four ways are counting in 1s, 2s, 5s, and 25s. We can then use this knowledge for counting in lots of different ways. For example if we count in 1s we can count in tens, tenths, 0.1s and -1s. We can also count in hundreds, thousands and hundredths applying our understanding of place value. We have to ensure a full understanding of fractions and decimals along the way so lots of visual and practical activities are needed. It is also appropriate to learn about decimals through the context of money.
Hill View Primary School
Learn Its! Information on how to support your child in learning and using number facts.
