Below is what your child will learn in the New Singapore Math curriculum for 5th Grade / Primary 5.
Whole numbers
Number notation and place values
- read and write numbers up to 10 million in numerals and in words
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
- round off numbers to the nearest 1000
Order of operations
- state the order of operations and carry out combined operations involving the 4 operations
- Include use of brackets
- 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
- solve word problems involving whole numbers
Mensuration
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
- convert measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa
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
- find one dimension of a cuboid given its volume and other dimensions
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
- use formula to find the area of a triangle
Statistics
Line graphs
- read and interpret line graphs
- solve problems using information presented in line graphs
- Exclude distance – time graphs
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
- multiply decimals up to 2 decimal places by a 2-digit whole number
Fractions
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
- add and subtract
Product of fractions
- calculate the product of 2 fractions
- Exclude mixed numbers
- calculate the product of 2 fractions
Concept of fraction as division
- associate a fraction with division
- Include conversion between fractions and decimals
- associate a fraction with division
Division of a proper fraction by a whole number
- divide a proper fraction by a whole number
Word problems
- solve word problems involving fractions
Geometry
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
- identify and name
8-point compass
- tell direction in relation to the 8-point compass
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
- state and find unknown angles involving the properties of
Geometrical construction
- draw squares, rectangles, parallelograms, rhombuses and triangles from given dimensions
- Use ruler, protractor and set squares
- Exclude cases where compasses are required
- draw squares, rectangles, parallelograms, rhombuses and triangles from given dimensions
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
Average
- calculate the average
- find the total amount given the average and the number of items
Rate
- calculate rate
Word problems
- solve up to 3-step word problems involving average and rate
Ratio and proportion
Ratio
- use ratio to show the relative sizes of
- 2 quantities
- 3 quantities
- Introduce the sign ‘ : ’
- interpret a given ratio
- a : b
- a : b : c
- Include sums such as the following:
- 1 : 2 = __ : 8
- 2 : __ = 1 : 4
- Include sums such as the following:
- 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
- use ratio to show the relative sizes of
Percentage
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
- change fractions and decimals to percentages, and vice versa
Percentage of a quantity
- calculate part of a whole given the percentage and the whole
Word problems
- solve up to 2-step word problems involving percentage
- Exclude use of the terms ‘profit’ and ‘loss’
- solve up to 2-step word problems involving percentage