Transcript Numeracy

Maths – The strategies we
use in school
Calculation
The 4 strands of Maths
•
•
•
•
Number
Shape, Space and Measures
Data Handling
Using and Applying Maths
Using and Applying Maths occurs in all 3
other strands, as well as in other lessons,
such as Science.
Number
We are going to focus solely number.
• The four operations (+, -, x and ÷)
We are going to talk you through methods
we teach children to use to add, subtract,
multiply and divide and how build on each
stage.
The Four Operations
• The four operations in calculations are
grouped into
Adding and Multiplying – where the
answer gets bigger
Subtracting and dividing – where the
answer gets smaller
Early Years
Counting
• Count reliably to 20
• Count backwards from 10
Number
Recognition
• Recognise numbers to 20
• Order numbers to 20
Calculation
• One more and one less
than a given number
• Add and subtract two single digit
numbers practically
Number Lines
We use number lines in all four operations.
We start with numbered lines like this one –
0
1
2
3
4
5
6
7
8
9
10
Adding
We then move on to using number lines and
counting up in ones.
14 + 5 = 19
+1
14
+1
+1
+1
+1
19
Partitioning
Next we learn to partition – splitting the
number into tens and units – to add.
What is 72 + 14?
T
U
70
2
10
4
70+10= 80
2+4= 6
80+6=86
Adding by Partitioning
Now we can add by partitioning –
86 + 57 =
+50
86
+4
136
+3
140
143
Adding by Partitioning
Or by rounding then adjusting, taking it to
the nearest 10 and then subtracting
754 + 96 (rounding and adjusting)
+100
754
850
-4
854
Column Addition
Finally, we move on to adding in columns,
using place value.
HTU
ThHTU
597
7648
+ 475
and
+ 1486
12
160
9134
900
1072
1 1 1
Multiplying
Now we use the number line for repeated
addition.
4 x 5 is the same as 5 + 5 + 5 + 5 = 20
I have four 5p coins, how much is that?
+5
0
+5
5p
+5
10p
+5
15p
20p
The Grid Method
We can partition to multiply using a grid, like
this, this looks more complicated than it
actually is –
72 x 38 =
70
2
30 2100
60
8
16
560
Column Method for multiplication
x
4346
8
48
320
2400
32000
34768
Subtracting
We begin by ‘taking away’, ‘counting back’
and seeing ‘how many left.’
We have 6 teddies in the shop. We sold 2.
How many teddies are left?
Subtracting (number lines)
We can use a number line to count back.
22 – 7 =
-5
15
-2
20
22
Subtracting (number lines)
In Key Stage 2, we count UP the number line to
find the difference.
What is the difference between 34 and 72?
+30
34
+8
64
72
Subtracting with ‘exchanging’
Th H T U
5 13 1
6467
- 2684
3783
Dividing
Division starts with practical sharing of
objects again If I share my 9 sweets between 3 people,
how many do they each get?
Division with number lines
Number lines are also used to count up in
division.
A baker bakes 24 buns. She puts 6 in every
box. How many boxes can she fill?
x1
0
x2
6
x3
12
x4
18
24
Division with remainders
Finally, we can jump in groups and record
remainders on the number line.
What is 42 divided by 4?
10 groups
(Remainders)
x10
0
+1
40
+1
41
42
SATs KS1
• Typical questions:
Key Stage 2 SATs
• Key Stage 2 SATS are held in May.
• These are statutory, externally marked tests.
• The children sit three papers:
Paper A
non-calculator paper
Paper B
calculator paper
Mental arithmetic paper
• The paper assesses children working between level 3
and level 5. Children will receive a test mark and a
teacher assessment.
A minority of children will be entered for the level 6 test.
Key Stage 2 SATs
Sample Questions:
Key Stage 2 SATs
Sample Questions:
Extra support for Numeracy
• EYS and KS1 – Numicon
Key Stage 2
• Booster programme
• Linked to numeracy lessons
• Targeted at children who, with
support, will reach level 4
• Sessions run three times a
week for 30 minutes
Year 4
Mental/Oral Starter Activities
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•
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Cracking Times Tables
Is a scheme designed to support high
standards in mathematics
Is a consistent approach to learning
and testing tables across the school
Is based on a series of levels that the
children work through at their own
pace
Is motivating to children. They
receive certificates for each level
achieved