Transcript WELCOME TO OUR MATHS EVENING!

WELCOME TO
WEST HOATHLY
CE PRIMARY
SCHOOL’S
MATHS
EVENING!
Maths has changed!
Where possible calculations should be done
mentally.
They also need to be able to use an efficient
written method.
What can a numerate child do?
By the age of 11 they should :
• Have an understanding of place value
• Know number facts
• Use number facts in calculations
• Use mental and written methods
• Use a calculator
• Explain their methods and reasoning
• Answers to calculations are feasible
Reception
&
Year 1
BEGINNER: IN PRACTICAL ACTIVITIES AND
DISCUSSION BEGIN TO RELATE ADDITION TO
COMBINING TWO GROUPS OF OBJECTS UP
TO 10
• Everyday activities are used in school to encourage combining
two groups such as taking the register. Counting how many girls
there are and how many boys are there, then counting them all to
find out how many there are all together.
• Another example is Snack Time. Counting how many children would
like milk and how many would like water and then counting how
many drinks are needed altogether.
• At home these experiences can be developed through shopping,
laying the table and collecting conkers using the language ‘how
many’, ‘count’, ‘add’ and ‘altogether’.
• A wide range of play activities such as farm animals, cars, bricks,
and beads are also used to encourage combining groups.
TARGET 1: WHEN COMBINING TWO SETS,
COUNT ON FROM FIRST SET WITHOUT
HAVING TO RECOUNT THE FIRST SET.
• To relate addition to counting on, children need
to recognise that addition can be done in any
order.
• 5 + 1 = 6 is the same as 1 + 5 = 6
• This can be developed by using sets of objects
and adding them together in any order to find
the same total and then using a number line with
different start points.
• number line
TARGET 2: BEGIN TO RELATE ADDITION TO
COUNTING ON
• When children are secure with counting on using
practical resources, they are ready to progress
onto mental strategies.
• Find the biggest number first and hold it in your
head. Then count on the smaller number to find
the total.
Year 2
&
Year 3
TARGET 3: BRIDGING 10
TO ADD A SINGLE AND
TWO-DIGIT NUMBER.
• In order to bridge 10 you need to know the
number bonds to 10 very well:
1 + 9 = 10
2 + 8 = 10
3 + 7 = 10
4 + 6 = 10
5 + 5 = 10
USING NUMBER BONDS
TO 10 TO ADD:
FOR EXAMPLE:
7+4
7 + 3 = 10 (using number bond to 10)
10 + 1 = 11 ( adding the 1 that is left)
EXTENDING THIS TO
LARGER NUMBERS:
28 + 7
We make the first number up to the next
multiple of 10:
28 + 2 = 30
Now add what is left of the second number:
30 + 5 = 35
USING A NUMBER LINE TO
DO THIS:
8+7
+ 2
8
+5
10
15
12 + 9
+ 8
12
+ 1
20
21
TARGET 4: BRIDGING 10
AND 100 TO ADD A SINGLE
AND TWO-DIGIT NUMBER.
FOR EXAMPLE:
97 + 6
97 + 3 = 100 (jumping to the next multiple of
10)
100 + 3 = 103 (adding what is left of the
second number).
USING A NUMBER LINE TO
DO THIS:
97 + 6
+ 3
97
+ 3
100
103
24 + 7
+6
24
+ 1
30
31
TARGET 5/6: ADDING TWODIGIT NUMBERS BY
PARTITIONING INTO TENS
AND ONES AND THEN
RECOMBINING MENTALLY:
For example:
27 + 33
27 + 33
Adding tens:
20 + 30 = 50 (number bonds to 50)
Adding units:
7 + 3 = 10 (number bonds to 10)
Recombining tens and units:
50 + 10 = 60
Ideally your child should be able to do
this mentally.
Year 4
&
Year 5
Written Methods
Learning written methods is not
our ultimate aim.
Mathematics is foremost an activity of
the mind.
Maths teaching today aims to develop
children’s mental strategies to support
written methods.
We want children to ask
themselves:
• Can I do this in my head?
• Can I do this in my head using drawings or
jottings?
• Do I need to use an expanded/compact
written method?
• Do I need a calculator?
TARGET 7: USE
EFFICIENT WRITTEN
METHODS TO ADD
TWO DIGIT AND THREE
DIGIT WHOLE NUMBERS
AND £.P.
On Saturday the Zoo sells 358 entry
tickets and on Sunday it sells 473 tickets.
What is the total number of tickets sold
over the weekend?
358 + 473 =
358
+
473
700
120
11
=
831
Target 8/9: Use more efficient
written methods to add
integers then decimals
358 + 473 =
358
+
473
11
120
700
=
831
Year 6
Target 10: Use compact
written methods to add
integers and decimals
45
+ 86
131
1
368
+ 453
821
11
Mistakes children make
643
+ 274
= 8117
It’s now your
turn!
How can you help?
Talk about
how you
do maths
Give praise and
encouragement
Be positive
Ask your
child to
explain
Make sure maths is fun!