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PRIMARY ADVANTAGE
MATHEMATICS PROGRAMME
A MODEL OF BEST PRACTICE The Four Operations
Lizzie Winterton and
Catherine Thomas
The Fundamentals – Year 3
The Fundamentals – Year 4
Experience and the National Curriculum
Procedural Fluency
Conceptual Understanding
What does this mean
for teaching?
Primary Advantage
Maths Programme
Addition – Mental Methods
50 + 643 324 + 58 360 + 360
3.2 + 1.9 1.5 + 1.6 27 + 36 + 13Did you:•Count on from the largest number?•Re-order the numbers?•Partition the numbers into 100s 10s and ones?•Bridge through 10 and multiples of 10?•Add 9, 11, etc. by adding a multiple of 10 and compensating?•Use near doubles?•Use knowledge of number facts?These are all strategies that children need to be aware of when carrying out addition calculations.
Compacted
or
leading to
Models for Addition
Compacted
or
Models for Addition
Compacted
or
Models for Addition
Compacted
or
leading to
Models for Addition
Compacted
or
Models for Addition
Compacted
or
leading to
40
Models for Addition
Have a go at completing the sums below, drawing the place value counters: 1.127 + 154
1.212 + 139
2.176 + 116
1.172 + 50
Your turn:
Remember to use the terms regroup and rename.
H T O
182
= 281
leading to
or
Compacted
7
Models for Subtraction
or
Compacted
leading to
Models for Subtraction
leading to
or
Compacted
26 12 6 12
Models for Subtraction
leading to
or
Compacted
26 12 6 12
Models for Subtraction
Have a go at completing the sums below, drawing the place value counters: 1.377 - 194
1.122 - 91
2.132 - 121
1.172 - 191
Your turn:
377 – 194
Remember to use the terms regroup and rename.
= 183H T O
381
Bead Bar
Number Line
Fingers“6” “9” “12”“3”
0 3 6 9 12
Lots of the ‘same thing’
Models for Multiplication
3 x 44 x 3
Models for Multiplication
Four groups of 3 Three groups of 4
Multiplication is commutative
How can it be represented?
An image for 7 x 8 = 56
Models for Multiplication
20 20
8 8
This demonstrates how children can use partitioning and facts they know to calculate unknown sums.
18
13
1810 8
13
3
10100 80
2430
Models for Multiplication
18 x 13 = 234
Progressing towards the standard algorithm
1 0 8
1 0
3
1 0 0 8 0
3 0 2 4
Models for Multiplication
10 8
10
3
100 80
30 24
1 8
1 3
5 4
1 8 0
2 3 4
Models for Multiplication
Either:
•How many 7s can I see? (grouping)
Or:
•If I put these into 7 groups how many
in each group? (sharing)
Models for Division
An image for 56 ÷ 7
An image for 56 ÷ 7
Models for Division
5 6780
The array is an image for division
too
7
8
5 6
120 ÷ 3
40
1203
The power of the place value counters for larger numbers
Models for Division
1200 ÷ 3
Similarly for 100s
400
12003
Models for Division
2 01 3 8
Hundreds Tens Ones
610
31
1386
23
Dare to share fairly – free app
Have a go at completing the sums below, using the app: 1.125 ÷ 5
1.232 ÷ 4
2.167 ÷ 2
1.656 ÷ 5
Your turn:
Remember to use the terms regroup and rename.
Have a go…
www.discoveryeducation.co.uk
Username: student20561
Password: trinity
All the slides from tonight will be available to download from the school website:
www.holytrinity.hackney.sch.uk
Help your child to have:
• Rapid recall of addition and
subtraction facts to 10, 20, 100
• Rapid recall of doubles and
halves to 100
• Rapid recall of 2, 3, 4, 5, 6, 7, 8,
9, 10, 11 & 12 times tables
• The knowledge of how to read
the time on an analogue and
digital watch
1. Look, cover, write and check
1. I say, you say
1. Five minutes whenever you get the chance
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