SINGAPORE MATH CURRICULUM

GRADE 1 ADDITION & SUBTRACTION

WITHIN 100

26 JANUARY 2015

http://www.youtube.com/watch?v=_MvTIbK6Vpk

TIMSS RESULTS

Country Ave Score

Singapore 590

Japan 567

Hong Kong 557

Netherlands 549

Hungary 521

United States 518

Latvia-LSS 499

Australia 495

Scotland 493

England 484

Country Ave Score

Singapore 594

Hong Kong 575

Japan 565

Netherlands 540

Latvia-LSS 533

England 531

Hungary 529

United

States

518

Cyprus 510

Australia 499

1995 Results

International Average = 529 2003 Results

International Average = 495

Country Ave Score

Hong Kong 607

Singapore 599

Chinese

Taipei

576

Japan 568

Kazakhstan 549

Russian

Federation

544

England 541

Latvia-LSS 537

Netherlands 535

Lithuania 530

2007 Results

International Average = 500

Country Ave Score

Singapore 606

Korea 605

Hong Kong 602

Chinese

Taipei

591

Japan 585

Northern

Ireland

562

Belgium 549

Finland 545

Russian

Federation

542

England 542

2011 Results

International Average = 500

WHAT IS THE SECRET RECIPE IN

SINGAPORE MATHEMATICS?

Spiral structure

Concrete

Pictorial

Abstract

Algebraic thinking

SPIRAL

Adopts a spiral structure in the development

of concepts, skills & processes.

EXAMPLE: WHOLE NUMBERS

Grade 1- Numbers within 100

Grade 2- Numbers within 1 000

Grade 3- Numbers within 10 000

Grade 4- Numbers within 100 000

Grade 5- Numbers within 1 000 000

Grade 6- Algebra

SPIRAL CURRICULUM

The spiral opens up to revisit a concept taught in an earlier

year and to introduce related but more difficult concept.

SPIRAL CURRICULUM FROM GRADE 1 TO 2

Number Bonds

• prepare the children to learn their addition facts

• help in mental computations

Numbers to 100

• Interpret numbers within 100 in terms of tens and ones

Addition and Subtraction Within 1000 with renaming

• Prior knowledge

•Rote learning V.S conceptualised understanding

Activities and curriculum enable children to progress

from concrete and pictorial levels to abstract

representation.

Adopting Jerome Bruner: Enactive Iconic Symbolic

learning.

CONCRETE PICTORIAL ABSTRACT

WHY NUMBER

BONDS?

THE IMPORTANCE OF NUMBER BONDS An important foundation for understanding how numbers

work. A whole thing is made up of parts. If you know the parts,

you can put them together (add) to find the whole. If you know the

whole and one of the parts, you take away the part you know

(subtract) to find the other part.

Number bonds let children see the inverse relationship

between addition and subtraction. Subtraction is not a totally

different thing from addition; they are mirror images. To subtract

means to figure out how much more you would have to add to get

the whole thing.

WHAT IS A NUMBER BOND?

A number bond is a mental picture of the relationship between a number

and the parts that combine to make it.

A) 1310 – 480 = ?

Compute the following subtraction equations.

B) 1000 – 480 = ?

Which equation is easier to compute? A or B? Why?

It is easier to take the place value of 10, 100 or 1000 to add or subtract.

By using 10, 100 or 1000 as a mean to add or subtract, it serves as a

effective tool of mental calculation.

A) 1310 – 480 = ?

1000 310

Working:

1) 1000 – 480 = 520

2) 520 + 310 = 830

16 – 7 = ?

‘Count Back’

method

‘Subtraction with

renaming’ method

• Takes a longer time.

•Higher chance to make careless

mistakes.

• Fast

•Accurate

•Effective

•Prepares them for formal

addition & subtraction

involving larger numbers

162

- 37

9 10 11 12 13 14 15 16

10 6

Working:

1) 10 – 7 = 3

2) 3 + 6 = 9

GRADE 1- ADDITION & SUBTRACTION WITHIN 100

add ones and tens

subtract ones and tens

+

23 + 3 = ?

20 3 3

ADDITION & SUBTRACTION WITHIN 100

add two 2 digit numbers

Eg. 33 + 12 =

ADDITION & SUBTRACTION WITHIN 100

subtract a 2 digit number from another 2 digit number

ADDITION & SUBTRACTION WITHIN 100

addition with renaming

ADDITION & SUBTRACTION WITHIN 100

subtraction with renaming

13 – 8 = ____

Working:

10 – 8 = 2

2 + 3 = 5

13 – 8 = 5

10 3 Working:

10 – 8 = 2

2 + 3 = 5

MENTAL ADDITION

61 is 6 tens and 1 one. 1 one + 8 ones = 9 ones

What number is 8 more than 61?

Tens Ones

6 1

8 ones

60

1 60

9 Add 8 ones

61 + 8 = 69 Grade 2

MENTAL

ADDITION

Grade 2

MENTAL ADDITION

WITHOUT REGROUPING

Mental Addition

with regrouping

Grade 2

MENTAL SUBTRACTION

WITHOUT REGROUPING

Mental Subtraction

with regrouping

Grade 2