Singapore maths Year 8 and Australian Curriculum compared

Singapore maths Year 8 and Australian Curriculum compared

When looking at a Singapore maths high school program for homeschool year 8, you’ll want to know how it compares to the Australian Curriculum (AC), and how it measures up. Singapore maths secondary courses are generally on par or more advanced with the AC. They are very user friendly, with teacher’s guides and full worked solutions. 

If your child has been at school and you are now wanting to homeschool them, you should check the Grade 7 comparison to see if they are prepared for the Singapore maths year 8 syllabus. 

There are two programs offered: the Accelerated edition and the Normal Academic edition. The difference between them becomes more obvious at year 8, and really makes a difference at Year 9 (NA Book 3). This is because the Accelerated version moves more quickly so that over the whole course years 7-11 are completed in just 4 years, as opposed to 5 years for the Normal Academic. (The  Accelerated Book 3 covers year 9 and 10 work). 

Another difference between these two editions is that there are more questions in each exercise in the Accelerated edition. I always recommend this edition over the Normal Academic, especially for homeschool families or private tutors who have flexibility, because you have the choice of slowing down if you need to.

This means that if you have a non-maths inclined child,  you can spread the content of the 4 Accelerated books over 5 years, at your own pace. 

Let’s take a look at the concepts and topics covered in both Singapore maths year 8 and the Australian Curriculum.

Singapore maths year 8 Australian Curriculum comparison

What appears to be a lack in Singapore maths at year 8 compared to the AC, namely indices,  is actually where Singapore maths advances. Indices are introduced in Singapore primary maths and used in year 7 and 8. It is advanced further in year 9. Other concepts are either on par or advanced.

For more information on Singapore maths and how it has produced the world’s top maths students, read our overview here.

We also recommend that you check the comparison for Singapore maths year 9 and the AC.

For details of what’s expected from the Australian Curriculum for year 8, check the AC website

Number and algebra

Australian CurriculumNew Syllabus Maths 7th Ed. (Accelerated)New Syllabus Maths Normal Academic
Number and place value
Index notation, index laws
Use the four operations with rational numbers and integers
Covered in Book 3 (year 9-10)Covered in Book 3 (Year 9)
Real numbers
Terminating and recurring decimals
Irrational numbers, π

Percentage increases and decreases
Ratio
Check year 7
Ratio covered in year 7
Check year 7
Ratio covered in year 7
Money and financials
Profit and loss
Patterns and algebra
Distributive law; expansion of algebraic expressions

Factorisation

Simplify algebraic expressions
Direct and indirect proportion; algebraic and graphical representations
Expansion and factorisation of quadratic expressions

Quadratic equations and graphs; factorisation

Algebraic fractions and formulae – using four operations

Check year 7
Direct and indirect proportion; algebraic and graphical representations

Quadratic expressions – expansion, simplification

Factorisation

Expansion and simplificaton of algebraic expressions

Factorisation and expansion using special algebraic identities

Algebraic fractions
Linear and non-linear relationships
Plot linear relationships on the Cartesian plane

Solve linear equations using algebra and graphs; verify by substitution
Graphs and linear equations; simultaneous linear equations;
solve using graphs and algebra

Check year 7
Simplification and solving linear expressions

Simple inequalities

Cartesian coordinates

Graphs of linear functions

Equation of a straight line

Simultaneous linear equations – solve using graphs, elimination, substitution

Measurement and geometry

Australian Curriculum New Syllabus Maths 7th Ed. (Accelerated) New Syllabus Maths Normal Academic
Using units of measurement
Area and volume and convert from one unit to another

Perimeters and areas of parallelograms, trapeziums, rhombuses and kites
Volume and surface area – pyramids, cones, spheres, composite solids

Covered in Year 7

Quadrilaterals; polygons

Volume and surface area – pyramids, cones, spheres, composite solids
Relationship between area, circumferenceradius and diameterSee above (cones, spheres)See above (cones, spheres)
Formulas for volumes: rectangular and triangular prisms; prisms in general.

Solve problems using formula for volume 
Pythagoras’ Theorem

Trigonometric ratios – find unknown sides and angles of right angle triangle
Pythagoras’ Theorem
Time
Solve problems involving duration, including using 12- and 24-hour time within a single time zone
Geometric reasoning
Congruence of plane shapes using transformations

Congruence of triangles 

Establish properties of quadrilaterals using congruent triangles and angle properties;
solve problems using reasoning

Congruent and similar figures; similarity, enlargement, scale drawings


Congruent and similar figures; map scales

Statistics and probability

Australian Curriculum New Syllabus Maths 7th Ed. (Accelerated) New Syllabus Maths Normal Academic
Chance
Identify complementary events and use the sum of probabilities to solve problems

Describe events using language of ‘at least’, exclusive ‘or’ (A or B but not both), inclusive ‘or’ (A or B or both) and ‘and’

Represent events in two-way tables and Venn diagrams and solve related problems
Introduction to probability
Sample space
Single events
Introduction to probability
Sample space
Single events
Data representation and interpretation
Investigate techniques for collecting data, including census, sampling and observation

Sampling

Mean, median
Statistical diagrams; dot diagrams; stem-and-leaf diagrams; histograms (grouped and ungrouped data)

Mean, median, mode


Statistical diagrams; dot diagrams; stem-and-leaf diagrams; histograms (grouped and ungrouped data)

Mean, median, mode

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