New Singapore Maths Curriculum (Scope And Sequence) For 5th Grade / Primary 5Since 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 
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 2digit 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 
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 2step 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

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 
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

Concept of fraction as division  associate a fraction with division
 Include conversion between fractions and decimals

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 2digit 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 
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

8point compass  tell direction in relation to the 8point 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 rightangled triangle
 recognise that the exterior angle of a triangle is equal to the sum of the interior opposite angles

Geometrical construction  draw squares, rectangles, parallelograms, rhombuses and triangles from given dimensions
 Use ruler, protractor and set squares
 Exclude cases where compasses are required

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 
Word problems  solve up to 3step word problems involving average and rate
Ratio and proportion 
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 2step word problems involving ratio
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

Percentage of a quantity  calculate part of a whole given the percentage and the whole

Word problems  solve up to 2step word problems involving percentage
 Exclude use of the terms ‘profit’ and ‘loss’
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