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 Did 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: Your turn: Remember to use the terms regroup and rename. HTO 182 = 281
leading to or Compacted 7 Models for Subtraction
or Compacted leading to Models for Subtraction
leading to or Compacted Models for Subtraction
leading to or Compacted Models for Subtraction
Have a go at completing the sums below, drawing the place value counters: Your turn: 377 – 194 Remember to use the terms regroup and rename. = 183 HTO 381
Bead Bar Number Line Fingers “6”“6”“9”“9” “12” “3”“3” Lots of the ‘same thing’ Models for Multiplication
3 x 44 x 3 Models for Multiplication Four groups of 3Three groups of 4 Multiplication is commutative How can it be represented?
An image for 7 x 8 = 56 Models for Multiplication This demonstrates how children can use partitioning and facts they know to calculate unknown sums.
Models for Multiplication 18 x 13 =234
Progressing towards the standard algorithm Models for Multiplication
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
Models for Division The array is an image for division too
120 ÷ The power of the place value counters for larger numbers Models for Division
1200 ÷ 3 Similarly for 100s Models for Division
HundredsTensOnes Dare to share fairly – free app
Have a go at completing the sums below, using the app: ÷ ÷ ÷ ÷ 5 Your turn: Remember to use the terms regroup and rename.
Have a go… Username: student20561 Password: trinity All the slides from tonight will be available to download from the school website:
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