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New Singapore Maths Curriculum (Scope And Sequence) For 8th Grade / Secondary 2

Our Singapore Maths books for 8th Grade / Secondary 2 are written in English and based on Singapore Math curriculum for 8th Grade / Secondary 2, which covers the following topics.

If your child uses our Singapore Maths books for 8th Grade / Secondary 2, he will be able to:

Arithmetic

  • Arithmetic problems

    • solve problems involving measures, money, ratio, proportion, rate and speed, percentage, personal and household finance and simple financial transactions
  • Standard form

    • read and write numbers in standard form A x 10n where n is a positive or negative integer, and 1 ≤ A < 10
  • Number sequences

    • formulate the algebraic expression for the general term of a number sequence

Mensuration

  • Volume and surface area

    • find the volumes and surface areas of spheres, pyramids and cones
    • solve problems involving the volumes and surface areas of spheres, pyramids and cones
  • Arc length and sector area

    • express arc length as a fraction of circumference and sector area as a fraction of the area of a circle
    • find arc length and sector area
    • solve problems involving arc length and sector area

Algebra

  • Algebraic manipulation and formulae

    • expand products of simple algebraic expressions
    • factorize algebraic expressions of the form:
      ax
      + ay
      ax
      + bx + kay + kby
      a2x2
      . b2y2
      a2
      ± 2ab + b2
      ax2 + bx + c
    • manipulate simple algebraic fractions
    • transform simple formulae
  • Solutions of equations

    • Simultaneous linear equations

      • solve simultaneous linear equations in two unknowns
      • solve problems involving simultaneous linear equations
    • Simple fractional equations

      • solve fractional equations involving numerical and linear algebraic denominators
      • solve problems involving simple fractional equations
    • Quadratic equations

      • solve quadratic equations by factorization
      • solve problems involving quadratic equations

Graphs

  • Graphs of linear and quadratic functions

    • use cartesian coordinates in two dimensions
    • draw graphs of linear and quadratic functions
    • use graphical methods to solve simultaneous linear equations
  • Graphs in practical situations

    • interpret and use graphs in practical situations
    • draw graphs using data from practical situations

Geometry

  • Motion geometry

    • Reflection, rotation, translation, enlargement

      • draw the reflection of a simple plane figure in horizontal or vertical lines
      • draw the rotation of a simple plane figure, about the origin of the x-y plane, or a vertex or a mid-point of an edge of the figure, through multiples of 90°
      • draw the translation of a simple plane figure in the x-y plane
      • draw an enlargement of a given plane figure
      • identify reflection, rotation, translation and enlargement of a given plane figure
      • draw the image of a figure involving combined movements
  • Similar and congruent figures

    • recognise similar and congruent figures
    • find unknown sides/angles of similar/congruent figures
  • Angle properties of polygon

    • calculate
      • the sum of interior angles of a polygon
      • the sum of exterior angles of a polygon
    • calculate unknown angles of a polygon
  • Scale drawing

    • read and make scale drawings
  • Symmetry

    • Line symmetry and rotational symmetry

      • identify line and rotational symmetry of plane figures
      • use symmetrical properties of triangles, quadrilaterals and regular polygons
      • use symmetrical properties of prisms, cylinders, pyramids and cones

Statistics

  • Averages

    • find mean, median and mode

Trigonometry

  • Pythagoras' theorem

    • state Pythagoras’ theorem
    • apply Pythagoras’ theorem to find a side of a right-angled triangle
    • solve problems applying Pythagoras’ theorem
  • Trigonometrical ratios: sine, cosine and tangent

    • state the sine, cosine and tangent ratios for an acute angle of a right-angled triangle
    • find the values of the trigonometrical ratios with a calculator
    • apply the sine, cosine or tangent ratio for an acute angle to find
      • a side of a right-angled triangle
      • an angle of a right-angled triangle
    • solve trigonometrical problems in two dimensions

Problem solving

  • Problem solving heuristics

    • use appropriate heuristics to solve problems
  • Practical uses of mathematics

    • solve mathematical problems in everyday life

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Singapore Math

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