Maths Workshop KS1

Concrete Pictorial Abstract

Concrete Pictorial Abstract

Concrete Apparatus

Subitising: Instant Number Recognition

Numicon Used for: Instant number recognition Bonds Ten bonds Find the difference Odds and evens Addition Subtraction

Numicon In Year One we use Numicon to find the difference

Numicon Odds and Evens In Year One we learn to spot the odd one out. In Year Two we develop our understanding to remember: odd+odd=even even+even=even even+odd=odd

Numicon Ten Bonds In Year 2 we use our ten bonds for the beginning of hundred bonds. E.g. If we know 7+3=10, we know 70+30=100.

Bead Strings Bench Marks 5 10 15 20 10 20 30 40 50

Tens Frames Bench Marks 5 10

Tens Frames Addition and Subtraction

Tens Frames Pictorial Representation

Base 10

Base 10 Pictorial Representation

Part whole model

Part whole model Pictorial Abstract Concrete 7 3 4

Addition TO TO Adding by Partitioning: E.g.: 72 + 23 Collect the ‘tens’ together 70 + 20 = 90 Then collect the ‘ones’ together 2 + 3 =5 Find the total 90 + 5 =95 We would use a hundred square to support with adding 70 2 20 3

Addition 72 82 92 93 94 95 Adding on a number line: 72 + 23 = Start at 72 Jump forward in ‘tens’ twice (23=20+3) Then jump forward in ‘ones’ three times. +10 +10 +3 72 82 92 93 94 95

We would use a hundred square to support with subtracting Subtraction Subtracting by Partitioning: TO TO E.g.: 72 – 21 Subtract the ‘tens’ 70 - 20 = 50 Subtract the ‘ones’ 2 - 1 =1 Find the total 50 + 1 = 51 We would use a hundred square to support with subtracting 70 2 20 1

Subtraction 51 52 62 72 Subtracting on a Number Line: 72 – 21 = Start at 72 Jump backwards in ‘tens’ twice (72-20=52) Then jump backwards in ‘ones’. -1 -10 -10 51 52 62 72

Multiplication Using objects or pictures: 3 lots of 5, 3 groups of 5, 3 x 5 = 15

Multiplication Multiplication as repeated addition: 5+5+5=15 3 x 5 = 15 Start at 0. Jump 5 places on the number line 3 times and see what number you land on.

Divison Sharing into equal groups: 15 ÷ 3 = 5 There are 15 strawberries. There are 3 boxes. How many strawberries are in each box?

Division Division as repeated subtraction: 15 ÷5=3 Start at 15. We know it is a multiple of 5. See how many times you can subtract 5 25

Multiplication and Division Arrays: 3 x 5 = 15, 5 x 3 = 15, 15 ÷ 5 = 3, 15 ÷ 3 =5 5 3

> < Greater than Less than

National Curriculum Statutory Requirements In Year One pupils should be taught to: Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number. Read and write numbers from 1 to 20 in numerals and words. In Year Two pupils should be taught to: Count in steps of 2, 3, and 5 from 0, and in tens from any number, forward and backward. Read and write numbers to at least 100 in numerals and in words.

Any questions…