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Singapore maths and Australian Curriculum Year 9 comparison

Singapore maths and Australian Curriculum Year 9 comparison

In beginning our comparison of Singapore maths with the Australian Curriculum (AC) year 9 requirements, it should be noted that it is at this level where the Singapore maths Accelerated program begins to pick up pace and advance more quickly than the Normal Academic (NA) version. The NA version is more closely aligned with the AC and the Accelerated version includes some year 10 concepts. So, the Accelerated edition gives you the opportunity to advance beyond the AC.

The Accelerated edition has eleven chapters covering these topics:

  • Quadratic equations and functions
  • Linear inequalities
  • Indices and standard form (scientific notation)
  • Coordinate geometry
  • Graphs of functions and graphical solution
  • Further trigonometry
  • Applications fo trigonometry
  • Congruence and similarity tests
  • Arc length, area of sector and radian measure
  • Area and volume of similar figures and solids
  • Geometrical properties of circles

The Normal Academic edition has eight chapters covering these topics:

  • Algebraic expressions and formulae
  • Quadratic equations and functions
  • Indices and standard form (scientific notation)
  • Coordinate geometry
  • Graphs of functions and graphical solution
  • Trigonometry
  • Further trigonometry
  • Congruence and similarity

How do the two programs differ?

An example of how the two programs differ is when trigonometry is covered. Basic trigonometry is introduced in year 8 (Book 2) of the Accelerated edition and expanded on in Book 3. In the NA edition, basic trigonometry is left until Book 3 and also expanded on. 

Number and algebra

Australian CurriculumNew Syllabus Maths 7th Ed. (Accelerated), Book 3New Syllabus Maths Normal Academic, Book 3
Real Numbers
Solve problems involving direct proportion

Simple rate problems – relationship between graphs and equations

Apply index laws to numerical expressions with integer indices 

Scientific notation
Laws of indices

Zero and negative indices

Rational indices

Standard form (Scientific notation)
Laws of indices

Zero and negative indices

Rational indices

Standard form (Scientific notation)
Money and financials

Simple interest
Simple interest
Compound interest
Compound interest
Patterns and algebra

Extend and apply index laws to variables, using positive integer indices and the zero index

Distributive law


Laws of indices

Zero and negative indices
Quadratic equations – solving, graphing
Laws of indices
Zero and negative indices

Further expansion and simplification of algebraic expressions; factorisation

Quadrratic equations – solving, graphing
Linear and non-linear relationships
Distance between two points located on the Cartesian plane

Midpoint and gradient of a line segment

Linear graphs using the coordinates of two points; solve linear equations

Graph simple non-linear relations


Gradient of a straight line
Gradient of a curve
Graphs – cubic functions, reciprocal functions, exponential functions

Length of a line segment

Equation of a straight line

Inequalities – solving problems; linear inequalities
Gradient of a straight line
Length of a line segment
Equation of a straight line

Graphs – cubic functions, reciprocal functions, exponential functions
Gradient of a curve

Measurement and geometry

Australian CurriculumNew Syllabus Maths 7th Ed. (Accelerated), Book 3New Syllabus Maths Normal Academic, Book 3
Using units of measurement
Areas of composite shapes

Surface area and volume of cylinders

Surface area and volume of right prisms

Time scales and intervals
Area and volume of similar figures and solids

Geometrical properties of circles – symmetric and angle

Arc length, area of sector and radian measure
Enlargement and reduction of a plane figure

Scale drawing
Simple problems involving congruence and similarity
Geometric reasoning
Similar triangles
Ratio and scale factors in similar figures
Congruence and similarity tests
Applications of congruent and similar triangles
Pythagoras and trigonometry
Pythagoras’ Theorem 
Covered in year 8Covered in year 8
Sinecosine and tangent ratios for a given angle in right-angled triangles

Trigonometry to solve right-angled triangle problems
Sine rule
Cosine rule
Sine and cosine of obtuse angles
Area of triangle
Applications of trigonometry – Angles of elevation and depression; bearings; 3-dimensional problems
Sine rule
Cosine rule
Sine and cosine of obtuse angles
Area of triangle

Trigonometric ratios
Unkown sides and angle of right triangle

Statistics and probability

Australian CurriculumNew Syllabus Maths 7th Ed. (Accelerated), Book 3New Syllabus Maths Normal Academic, Book 3
Chance
Two-step chance experiments; tree diagrams, arrays

Assign probabilities to outcomes and determine probabilities for events

Calculate relative frequencies; ‘and’ or ‘or’

Investigate surveys on how data were obtained to estimate population means and medians
See year 8See year 8
Data representation and interpretation


Questions and issues involving at least one numerical and at least one categorical variable, and collect data

Stem-and-leaf plots and histograms
Describe data, using terms ‘skewed’, ‘symmetric’ and ‘bi modal’

Compare data displays using meanmedian and range
See year 8See year 8

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