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New Singapore Maths 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

  • 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
  • Order of operations

    • state the order of operations and carry out combined operations involving the 4 operations
      • Include use of brackets
  • 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 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
  • 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
      • Exclude mixed numbers
  • 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 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

  • 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
  • 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
  • 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

    • 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
    • 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

  • 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 2-step word problems involving percentage
      • Exclude use of the terms ‘profit’ and ‘loss’

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Singapore Math

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