Singapore Math Basics

1
Singapore Math
Learning approach developed to instill
mathematical thinking at every stage. Through
this, students can solve formidable problems
early. They learn Algebra without using the word
Algebra. It was developed in Singapore in the
late 1970s-early 1980s, and was implemented in
mid-1980s.
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Singapore Math
Basic point It goes from
Concrete examples
3
Singapore Math
Addition 3 4 7
Concrete
Put together
4
Singapore Math
Addition 3 4 7
Concrete
Put together
5
Singapore Math
Addition 3 4 7
Concrete
Put together
6
Singapore Math
Addition 3 4
Concrete
Put together
Total
Bar-graph
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Singapore Math
Addition 3 4 ?
Put together
Visual
?
3
4
? Sum (total)
Bar-graph
8
Singapore Math
Addition 3 4 ?
Put together
Visual
7
3
4
7 Sum (total)
Bar-graph
9
Singapore Math
Subtraction 7 - 4
Concrete
Remove 4
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Singapore Math
Subtraction 7 - 4
Concrete
Remove 4
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Singapore Math
Subtraction 7 - 4
Concrete
Remove 4
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Singapore Math
Subtraction 7 - 4
Concrete
Remove 4
13
Singapore Math
Subtraction 7 - 4
3
Concrete
Remove 4
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Singapore Math
Subtraction 7 - 4
Concrete
?
7
Visual
4
?
15
Singapore Math
Multiplication
3 ? 5
Concrete
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Singapore Math
Multiplication
3 ? 5
Concrete
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Singapore Math
Multiplication
3 ? 5
?
Visual
? Product
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Singapore Math
Multiplication
3 ? 5
15
Visual
15 Product
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Singapore Math
Division
12 ? 4
Concrete
Make 4 equal group
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Singapore Math
Division
12 ? 4
Concrete
Make 4 equal group
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Singapore Math
Division
12 ? 4
Concrete
Make 4 equal group
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Singapore Math
Division
12 ? 4
Concrete
Make 4 equal group
23
Singapore Math
Division
12 ? 4
Concrete
Make 4 equal group
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Singapore Math
Division
12 ? 4
Concrete
Make 4 equal group
25
Singapore Math
Division
12 ? 4
Concrete
Make 4 equal group
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Singapore Math
Division
12 ? 4
Concrete
Make 4 equal group
27
Singapore Math
Division
12 ? 4
Concrete
Make 4 equal group
28
Singapore Math
Division
12 ? 4
Concrete
Make 4 equal group
29
Singapore Math
Division
12 ? 4
Concrete
Make 4 equal group
30
Singapore Math
Division
12 ? 4
Concrete
Make 4 equal group
31
Singapore Math
Division
12 ? 4
Concrete
Make 4 equal group
32
Singapore Math
Division
12 ? 4
Concrete
33
Singapore Math
Division
12 ? 4
Concrete
Make 4 equal group
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Singapore Math
Division
12 ? 4
Concrete
Make 4 equal group
35
Singapore Math
Division
12 ? 4
Concrete
Make 4 equal group
36
Singapore Math
Division
12 ? 4
Concrete
Make 4 equal group
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Singapore Math
Division
12 ? 4
Concrete
Make 4 equal group
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Singapore Math
Division
12 ? 4
Visual
12
39
Singapore Math
Division
12 ? 4
Visual
12
40
Singapore Math
Division
12 ? 4
Visual
12
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Singapore Math
Division
12 ? 4
Visual
12
42
Singapore Math
One uses visuals to solve complex problems.
Various Singapore Math books are full of
challenging problems.
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Singapore Math
Advantages
Easy to identify mathematical operation.
Gives access to solve multi-step complex
problems easily
Students solve word problems by identifying
the given information and determine the
unknowns.
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Examples of exercises that require thinking
Where would the ball be if the length of the
string is doubled?
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Examples of exercises that require thinking
Draw the correct number of O on the right side of
Scale C so that it is balanced.
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Examples of exercises that require thinking
What is the length of the ribbon?
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Examples of exercises that require thinking
Study the diagram below and answer the questions
The heaviest object is _____. The lightest
object is _____.
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Examples of exercises that require thinking
20

?
70

___
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Examples of exercises that require thinking
Mrs. Tan baked 50 cookies. She gave 8 cookies
to each of her two sons. Her daughter received 4
more cookies than each son. (a) How many cookies
did Mrs. Tan give to her sons and
daughter altogether? (b) How many cookies are
left?
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Examples of exercises that require thinking
A farmer wants to know how many pigs and hens are
on his farm. He asks his children to count the
animals on the farm. His children determined that
there are 70 heads of pigs and hens and 200 legs
altogether. How many pigs and hens are on the
farm?
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Examples of exercises that require thinking
Mary took a test that had 30 questions. She
received 5 points for each correct answer, but
lost 2 points for each incorrect answer. She
scored 115 points on this test. How many of the
answers were correct and incorrect?
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Examples of exercises that require thinking
Sue invited her four friends at her home. She
will serve everyone including her self a glass of
orange juice. It takes two oranges to make a
glass of orange juice. She has three oranges. How
many more oranges are needed so there is a glass
of orange juice for everyone?