Surviving math

St Edward School, Florida
Da Qiao Primary School, Singapore

Primary 1 Singapore
17
17 – 3 = 
17 – 8 = 
10
7
17
14
3
17
9
8
Da Qiao Primary School, Singapore

Grade 2 USA


St Edward School, Florida



Grade 5 The Netherlands
Archipelschool De Tweemaster – Kameleon,
The Netherlands

Archipelschool De Tweemaster – Kameleon,
The Netherlands
Grade 5 The Netherlands

King Solomon Academy, London
Year 7 England

High School Attached to Tsukuba University, Japan
Draw a polygon with no dots inside it. Investigate.
Grade 9 Japan
A polygon has 4 dots on the perimeter. Find an expression for its area.
www.marshallcavendish.com/education/mci

Students who have mastered the basic skills which include basic one-step and two-step problems are ready to handle at least the least demanding of the secondary courses.

999 – 724 = 275
1000 – 724 = 276

12 ÷ 4 = 3
2 tenths ÷ 4
20 hundredths ÷ 4
3.05
20 hundredths ÷ 4 = 5 hundredths

First Hall
Second Hall
9 876 ÷ 3 = 3292
Third Hall
3292 ÷ 4 = 823
823 x 5 = 4000 + 100 + 15 = 4115
The second hall (and also the first hall) has 4115 chairs.

First Hall
Second Hall
Third Hall
Handling Information
Metacognition
 Adult models the behaviour
Representing Solution
Visualization
 Adult coaches “Can you see..?”
Computation
Number Sense
 Encourage mental computation


















Answer: 59

43 x 1.2m
42 x 1.2m
= 42m + 8.4m = 50.4m

50.4m ÷ 36 = 1.4m
1.4


1.4



Handling Information / Correcting Mistake
Metacognition
 Adult models the behaviour
Representing Solution
Visualization
 Adult coaches – use a diagram
Look for a Pattern
 Adult coaches – use questions
Checking Answer
Number Sense
 Encourage sense making

Primary 5 student figuring out things on his own.

27 sweets were returned when they decided to have 8 each instead of 11. As each girl returned 3 sweets, there must be 9 girls to return 27 sweets. The last girl took 2 (to make her 6 sweets 8). That is why there were 25 sweets left over.
25 + 2 = 27
27 ÷ 3 = 9
9 + 1 = 10 There were 10 girls.
10 x 8 + 25 = 105 There were 105 sweets.

30
Men
Women

14

13

38
2 units = 38
5 units = 19 x 5 = 95
512 ->95

14+13=712

1212 ->95÷5  12=19  12=190+38=228

There were 228 fruits altogether.

Monday
$3
Tuesday
$100
$3
$3
Wednesday
$3
$3
$3
Thursday

Monday
Tuesday
$100 – 6 x $3 = $82
Wednesday
4 units = $82
1 unit = $82 ÷ 4 = $20.50
Thursday
$20.50 + $9 = $29.50
She saved $29.50 on Thursday.

dots on perimeter dots inside
12
0
8
2
4
4

Sent to me by GOLD 90FM
MrLim packed 387 apples.
Each apple had a mass of about 24g.
He put them into three different baskets.

The mass of the apples in Basket A was 3 times that of the apples in Basket C.
The mass of the apples in Basket B is twice that of the apples in Basket C.
The mass of the empty Basket C was 140g.

What was the total mass of Basket C and the apples in it?
387 x 24 g = 9288 g
6 units = 9288 g
1 unit = 1548 g
A
B
C
The total mass of Basket C and the apples in it is 1548 g + 140 g = 1688 g.
It is about 1.7 kg.

14 units = 14 shells
1 unit = 1 shell
Siti collected 30 shells.
Xueling collected 34 shells.
Jane + Xueling
50 units
Xueling + Siti
64 units

343 – 257 = 86
Together they had 600 stamps
Working Backwards
Jim’s 7 eighths  343
Jim’s 8 eighths  392
George had 208
86
Jim
George’s 2 fifths  208
George’s 5 fifths  520
Jim had 80
257
George
Jim’s 1 third  80
Jim’s total at first  240
George had 360 at first

41 is under M
101 is under S
2011 is under T …. Really? How do you know?

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Surviving math

by Jimmy Keng on Sep 19, 2011

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