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Singapore maths and Australian Curriculum Year 8 comparison

Singapore maths and Australian Curriculum Year 8 comparison

We began our comparison of highschool Singapore maths with the Australian Curriculum (AC) at year 7. If you are considering Singapore maths for homeschool year 8, and have come from a school, you should check the Grade 7 comparison to see if your child is prepared.

The difference between the Accelerated and Normal Academic editions becomes more obvious at year 8, and really makes a difference at Year 9 (NA Book 3). (The  Accelerated Book 3 covers year 9 and 10 work). More concepts are covered in the Accelerated.

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 as you have the choice of slowing down if you need to (and because I am inclined to train my children to be strong on maths skills). However, if you have a non-maths inclined child and you just want to get what’s necessary covered without a heavy workload, the Normal Academic is the way to go. 

You will note that the main lack in Singapore maths at year 8 compared to the AC seems to be indices. However, this is introduced in primary school and used in year 7 and 8. It is advanced 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.

Any differences in content between the Accelerated edition and the Normal Academic (NA) version is because the Accelerated consists of 4 books (covering years 7-11) and the NA has 5 books. Please check the comparison for year 9 (coming soon!).

For elaboration on the AC 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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