Singapore Math

Singapore Mathematics Framework (2003)

Numerical calculationAlgebraic manipulation

Spatial visualizationData AnalysisMeasurement

Use of mathematical toolsEstimation

BeliefsInterests

AppreciationConfidence

PerseveranceMonitoring of one’s own thinkingSelf-regulation of learning

Reasoning, communication and connectionsThinking skills and heuristicsApplications and modeling

NumericalAlgebraic

GeometricalStatistical

ProbabilisticAnalytical

What is the sum of 7 and 4?

What is the sum of 7 and 4?

What is the sum of 7 and 4?

47+(3+1)

(7+3)+1

=10+1=117 +

A man sold 230 balloons at a carnival in the morning. He sold another 86 balloons in the evening.

a) How many balloons did he sell in all?b)How many more balloons did he sell

in the morning than in the evening?

A man sold 230 balloons at a carnival in the morning. He sold another 86 balloons in the evening.

Morning

230

Afternoon

86

a) How many balloons did he sell in all?

?

Hundreds Tens Ones

A man sold 230 balloons at a carnival in the morning. He sold another 86 balloons in the evening. How many did he sell in all?

3 1 6

A man sold 230 balloons at a carnival in the morning. He sold another 86 balloons in the evening.

a) How many balloons did he sell in all?

230 + 86230 + (70+16)

(230 + 70)+16300+16=316

316 balloons were sold in all.

Using Number Bonds

whole

part

part

316

86

230

Additionpart + part = whole

A man sold 230 balloons at a carnival in the morning. He sold another 86 balloons in the evening.

a) How many balloons did he sell in all?b)How many more balloons did he sell

in the morning than in the evening?

b)How many more balloons did he sell in the morning than in the evening?

A man sold 230 balloons at a carnival in the morning. He sold another 86 balloons in the evening.

Morning

Evening

230

86 ?

Hundreds Tens Ones

A man sold 230 balloons at a carnival in the morning. He sold another 86 balloons in the evening. How many more balloons did he sell in the morning than in the evening?

1 4 4

Using Number Bonds

whole

part

part

23086

144

whole

- part = part

Subtraction

Sally finds three times as many sea shells on Sunday as she did on Saturday. If she found 32 sea shells on Saturday, how many sea shells did she find in all?

Saturday 32

Sunday 32

32

32

?

Hundreds Tens Ones

Sally finds three times as many sea shells on Sunday as she did on Saturday. If she found 32 sea shells on Saturday, how many sea shells did she find in all?

1 82

Sally found 128 shells in all.

The number of cars is four times the number of motorcycles in a town. If there are 4,336 cars in the town, how many motorcycles are there?

4,336

?

The number of cars is four times the number of motorcycles in a town. If there are 4,336 cars in the town, how many motorcycles are there?

Thousands Hundreds Tens Ones

1 0 8 4

The total weight of Peter, David, and Henry is 123 kg. Peter is 15 kg heavier than David. David is 3 kg lighter than Henry. Find Henry’s weight.

Peter

David

Henry

15kg

3kg

123 kg

DD+15 D+3

+ + =123 kg

D+15 + D + D+3 = 123 kgD + D + D + 18 = 123 kg D + D + D = 105 kg

D = 35 kg

H = (35 + 3)kg

H = 38 kgHenry weighs 38 Kg

of the balls in a basket are green.1

4

1

8of the balls in a basket are purple.

If there are 240 balls in all, how many of the balls are neither green or purple?

240

?

If there are 240 balls in all, how many of the balls are neither green or purple?

240

?

240 8 30

30 3030 30 303030 30

5(30) 150150 of the balls are neither green or purple.