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New Singapore Math Curriculum (Scope And Sequence) For 5th Grade /
Primary 5
Since 2005, Singapore, the world's math leader, and most countries had
completely switched from the old Singapore Math to the new
and improved Singapore Math for 5th Grade / Primary 5.
Find out why Singapore schools have switched completely to the new
and improved Singapore Math.
All the primary schools in Singapore, the world's math leader, are
using the New Singapore Math textbook packages for 5th Grade / Primary 5.
Primary Mathematics For 5th Grade / Primary 5 Package is based on the Old
Singapore Math curriculum and is no longer used in any Singapore school
since 2005.
Below is what your child will learn in the New Singapore Math
curriculum for 5th Grade / Primary 5.
Whole numbers
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Number notation and place values
- read and write numbers up to 10 million in numerals and in words
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Multiplication and division
- multiply and divide numbers up to 4 digits by a 2-digit whole
number
- multiply and divide numbers by tens, hundreds and thousands
-
Approximation and estimation
- round off numbers to the nearest 1000
- Include use of the approximation symbol
- estimate the answers in calculations involving addition,
subtraction and multiplication
-
Order of operations
- state the order of operations and carry out combined operations
involving the 4 operations
-
Word problems
- solve word problems involving whole numbers
- Include rounding off answers to a specified degree of
accuracy
Mensuration
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Conversion of measurements involving decimals and fractions
- convert measurements of length, mass, volume and time from a
smaller unit of measure to a larger unit, and vice versa
- Exclude measurements involving decimals for time
- Numbers involved should be within easy manipulation
-
Volume of a cube / cuboid
- find one dimension of a cuboid given its volume and other
dimensions
- Exclude finding the area of a face given its volume and one
dimension
- find the edge of a cube given its volume
- Exclude use of the cube root sign
- solve up to 2-step word problems involving volume of a cube /
cuboid and liquid
- Include problems involving the height of water level in
rectangular tank
- Exclude finding volume of solid by the volume of liquid
displaced
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Area of a triangle
- use formula to find the area of a triangle
- Include identifying the base and its corresponding height
- Exclude finding the base or height of a triangle given its
area
Statistics
-
Line graphs
- read and interpret line graphs
- solve problems using information presented in line graphs
- Exclude distance - time graphs
Fractions
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Addition and subtraction
- add and subtract
- mixed numbers
- unlike fractions
- Include listing of equivalent fractions to identify
fractions with common denominator
- Denominators of given fractions should not exceed 12
-
Product of fractions
- calculate the product of 2 fractions
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Concept of fraction as division
- associate a fraction with division
- Include conversion between fractions and decimals
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Division of a proper fraction by a whole number
- divide a proper fraction by a whole number
-
Word problems
- solve word problems involving fractions
Decimals
-
Multiplication and division
- multiply decimals up to 2 decimal places by a 2-digit whole
number
- Include checking reasonableness of answers by estimation
- multiply and divide decimals up to 3 decimal places by tens,
hundreds and thousands
- Exclude cases where the first nonzero digit in the answer is
at the 4th decimal place such as 0.12 ÷ 1000 = 0.00012
- solve word problems involving decimals
- Include rounding off answers to a specified degree of
accuracy
- Include checking reasonableness of answers
Geometry
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Angles
- identify and name
- angles on a straight line
- angles at a point
- vertically opposite angles
- Exclude angles between parallel lines such as alternate
angles, interior angles, corresponding angles
- Exclude use of the terms ‘complementary’ and ‘supplementary’
- recognise that angles on a straight line add up to 180º and
angles at a point add up to 360º
- recognise that vertically opposite angles are equal
- find unknown angles involving
- angles on a straight line
- angles at a point
- vertically opposite angles
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8-point compass
- tell direction in relation to the 8-point compass
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Properties of a parallelogram, a rhombus, a trapezium and a
ttriangle
- state and find unknown angles involving the properties of
- a parallelogram
- a rhombus
- a trapezium
- Exclude the term ‘diagonal’ and its related
properties
- Exclude additional construction of lines
- recognise and use the property that the angle sum of a triangle
is 180º
- Exclude problems where the skill of solving equations is
required
- state and find unknown angles involving the properties of
- an isosceles triangle
- an equilateral triangle
- a right-angled triangle
- recognise that the exterior angle of a triangle is equal to the
sum of the interior opposite angles
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Geometrical construction
- draw squares, rectangles, parallelograms, rhombuses and
triangles from given dimensions
- Use ruler, protractor and set squares
- Exclude cases where compasses are required
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Tessellation
- recognise shapes that can tessellate
- identify the shape used in a tessellation
- make different tessellations with a given shape
- draw a tessellation on dot paper
Average, rate and speed
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Average
- calculate the average
- find the total amount given the average and the number of items
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Rate
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Word problems
- solve up to 3-step word problems involving average and rate
Ratio and proportion
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Ratio
- use ratio to show the relative sizes of
- 2 quantities
- 3 quantities
- interpret a given ratio
- a : b
- a : b : c
- Include sums such as the following:
- 1 : 2 = __ : 8
- 2 : __ = 1 : 4
- recognise equivalent ratios
- reduce a given ratio to its lowest terms
- Include reducing a : b : c to its lowest terms
- solve up to 2-step word problems involving ratio
Percentage
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Concept of percentage
- change fractions and decimals to percentages, and vice versa
- Include use of the percentage notation ‘%’
- Include recognising the equivalence between percentage and
fraction/decimal
- express a part of a whole as a percentage
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Percentage of a quantity
- calculate part of a whole given the percentage and the whole
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Word problems
- solve up to 2-step word problems involving percentage
- Exclude use of the terms ‘profit’ and ‘loss’
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