Transcript Maths Information Evening

Maths is Fun at
Burpham
The answer is
what is the question?
Progression of Mathematical
Understanding
Active/concrete
Building visual images
13 - 8
Abstract
12 + 19
bead string
count stick
Multilink
place value apparatus
Sliders
0.1
10
place value
counters
10
1
1
0.1
100
Cuisenaire
Numicon
counters
number line
number
grids
100 and 200
Now we are
ready to
count!
Which is the
biggest number?
3
1,2,
,4,5,6,7,8,9,10
Place Value
Th
H
T
6
5
3
U
2
Calculations and
operations.
The four stages
•
•
•
•
Mental
Informal
Expanded
Efficient
• Note that mental and informal methods will
continue all the way through primary maths.
Addition
76 + 47 =
+10
76
+10
+10
96
86
+10
+7
106
116
+ 40
76
123
+7
116
123
Partitioning
48 + 33
40 8 30 3
70 + 11 = 81
Column Method
Compact
Expanded
358
+ 33
11
80
300
391
Leading to
358
+ 33
391
1
Subtraction
Imran has 43 conkers; he gives 24 away to his friends.
How many does he have left?
43 – 24 =
19 20
-1
23
33
-3
-10
19 conkers
43
-10
• Subtraction as finding the difference
Difference
5
12
Subtraction - Finding the
difference on a number line
Sam has saved 93p, Amy has 55p. How much more money
does Sam have than Amy?
93 – 55 =
+5
55
38p more
+30
60
+3
90
93
Subtraction
8.23 – 4.55 =
+0.45
4.55
3.68
5.00
+3
+0.23
8.00
8.23
Number line
Multiplication as repeated addition
4x2
+2
0
+2
2
+2
4
4x2=2+2+2+2
So, 2 x 4 = 8
+2
6
8
Arrays
3x6
Or
Add the dots
5x6
4x5
3x2
Partitioning
24 x 5
20 x 5 = 100
4 x 5 = 20
100 + 20 = 120
Grid Method
25 x 35=
20 + 5
30 + 5
X
30
5
20
5
Now multiply – watch the zeros!
25 x 35=
X
20
5
30
600
6
150
15
5
100
10
25
What next?
25 x 35=
X
20
5
30
600
150
5
100
25
6 0 0
1 5 0
1 0 0
+ 2 5
875
Try this one…
• Use the Grid Method of multiplication to work
out this question…
71 x 43 =
71 x 43 =
X
70
1
40
2800
28
40
3
210
21
3
71 x 43 =
X
70
1
40
2800
28
40
3
210
21
3
2800
210
40
+
3
3053
Expanded Multiplication
38
x 7
210
56
266
(30 x 7)
(8 x 7)
Division
Arrays
12 ÷ 3 = 4
Repeated subtraction
12 ÷ 3 = 4
-3
0
-3
3
12 - 3 – 3 – 3 – 3
-3
-3
6
9
12
Counting in steps
12 ÷ 3 = 4
+3
0
Add the jumps
+3
3
Fingers
+3
+3
6
“3
”
9
“6
“9
“12
”
12
Chunking
75 ÷ 5
5x5
0
Need to
know
tables!
10 x 5
25
75
- 50 (10 x 5)
25
- 25 (5 x 5)
0
BBC News Video Link
75
75 ÷ 5 = 15
72 ÷ 4 = 18
4
18
72
we know 10 x 4
40 -
we know 8 x 4
32
32 0
.
New Curriculum Aims
• FLUENCY
• REASONING
• PROBLEM SOLVING
Introducing the Bar Model
Problems to solve
Tom has a bag of 34 marbles. His friend
gives him 28 more.
How many does he have now?
34
28
62
Kelsey was running a 26 mile
marathon. After 18 miles she felt very
tired. How many more miles did she
have to run?
26
18
8
Multiplication
The sum of 2 numbers is 60. One number is 3
times as big as the other. What is the bigger
number?
45
15
15
15
15
60
Ratio
Tim
Sally
12
12
12
12
12
36
Tim and Sally share marbles in the ratio of
2:3
If Sally has 36 marbles, how many are there
45
altogether? 60
KS2 2012
Ralph posts 40 letters, some of
which are first class, and some
are second.
He posts four times as many second class
letters as first.
How many of each class of letter does he
post?
How can you help?
Talk about
how you do
maths
Give praise and
encouragement
Use school
methods
Be positive
Ask your child
to explain
Make sure maths is fun!
Helping at home KS1/ EYFS
• Play board games
• Cook – measuring and weighing
• Look at numbers in the environment e.g.
telephone keys, number plates, door numbers,
book pages, sleeps until Christmas!
• Money
• Comparing heights
• Birthdays, Months of the year, Days of the week
• Time
Props around the house KS2
•
•
•
•
•
•
•
•
•
•
•
•
•
A prominent clock
A traditional wall calendar
Board games that involve dice or spinners
A pack of playing cards
A calculator
Measuring Jug
Dried beans, Macaroni or Smarties
A tape measure and a ruler
A large bar of chocolate
Fridge magnets with numbers on
Indoor/outdoor Thermometer
Unusual dice
A dartboard with velcro darts)
Homework!
• Related to classwork
• Use method shown in class
• Check with teacher if unsure!
• It’s the child’s responsibility to complete
their homework!
ICT games
Crickweb
Top marks
Woodland juniors
Maths Zone