Transcript 3 + 1 = 4
Maths workshop
Wednesday 6th May 2015
Lena Dalal
Aims
• To explain how we teach your child the
main operations +, -, X and ÷ in EYFS,
KS1 and year 3.
• To give you some ideas of how you can
support your child at home.
Good practice in Maths today
• Mental calculation skills
• Children need the ability to estimate
e.g, If I have 18 sweets in one bag and 33 in another.
How many do I have altogether?
Children can estimate by adding 20 and
30 and know that the answer should be
roughly 50.
Good practice in Maths today
• All children need to learn maths in real life
context.
As well as knowing 4+3 = 7 children need to be able to do the following:
There were 4 people on the bus, 3 people got on at the stop. How many people on
the bus altogether?
• Children need to be able to explain how they
have calculated something using a method that
suits them. If they cant explain it, they don’t
fully understand it.
• Written calculations are taught but when the
children are ready.
Number recognition and
counting
•
•
•
•
Cardinal
Ordinal
One to one correspondence
How many?
Place value
• Tens and units (deines)
• Digit cards
• What is each digit worth?
Addition
Addition vocabulary
together
more than
plus
add
total
and
Addition
1. Adding practically
3+2=5
Addition
• Adding practically
3+2=5
Addition
2. Mental addition of number facts
Encourage children to put the biggest
number in their head and count on.
4+6=10
Addition
3. Use of a number line
6+3=
Addition
4. Empty number lines using efficient
jumps.
5. Partitioning
Addition
357+ 268
E.g. 23 + 41=
23 + 41
20 3 40 1
3 + 1 = 4 Add the units first
20 + 40 = 60 Then add the tens
60 + 4 = 64 Recombine the total5
Addition
6. Expanded horizontal when bridging 100
358 +73=
300 + 50 +8
0 + 70 + 3
300 + 120 + 11 = 431
Should be taught with TU+TU first
‘Partition the numbers into tens and units. Add
the tens together and then add the units
together.
Recombine to give the answer.’
Addition
7. Expanded vertical column method
E.g. 358 + 273 =
358
+273
1 1 (8 + 3 ) Add the units first
1 2 0 (50 + 70)
5 0 0 (300 + 200)
631
When confident, stop using the brackets.
Number bonds to 10/20
10+0=10
9+1=10
8+2=10
7+3=10
6+4=10
5+5=10
4+6=10
3+7=10
2+8=10
1+9=10
0+10=10
Have a go at writing number bonds to
20!
Subtraction
Subtraction vocabulary
difference between
subtract
fewer
minus
take from
less than
take away
Subtraction
1. Taking away practically
5-3=
Subtraction
2. Use of a number line
6-4=
Subtraction
3. Using an empty number line
counting back
15-4=
11
43-22=
12
-2
21
13
14
15
-20
23
43
Subtraction
4. Counting on (finding the
difference)
This is how shopkeepers counted out change (before the till took over)
19-14=
1
2
3
4
5
14
19
43-27=
+10
+3
27
(bald mans head)
30
10+3+3=16
+3
40
43
Subtraction
• Have a go at 78-54=
Subtraction
5. Introduce partitioned column subtraction method.
STEP 1: introduce this method with examples where
no exchanging is required.
89 – 35 = 54
80 + 9
- 30 + 5
50 + 4
Subtraction
6. Introduce exchanging
72-47=
60
70 + 12
2
- 40 + 7
20 + 5 = 25
Multiplication
Multiplication vocabulary
groups of
lots of
time table
multiplied by
multiply
Multiplication
1. Practical multiplication
2 lots of 4
2 groups of 4
Multiplication
2. Repeated addition
4x5
5 +5 +5 + 5 = 20
Multiplication
3. Use of arrays
4 rows of 5
or
5 columns of 4
4x5 or 5x4
Multiplication
4.Number lines
4X5
0
5
10
15
20
Multiplication
5.Grid method
35 x7
35x26
Multiplication
Have a go at 56x4 using the grid
method!
Multiplication
It is essential that children are learning
2, 5, 10, 3, 4, and 6 times tables (year 3)
Division
Division vocabulary
share
share equally
divide
divide by
groups
1. Sharing
Division
Can you share 6 biscuits equally between
3 children?
Division
2. Grouping
3 groups of 2
Division
3. Empty number line
0
5
10
15
20
How many groups of 5 are there in 20?
Division
4 Chunking
Division
Have a go at 88 ÷ 5=