Singapore maths year 7 and Australian Curriculum compared

Singapore maths Year 7 and Australian Curriculum compared

We have compared think! Mathematics (New Syllabus Mathematics 8th edition) with the Australian Curriculum (AC). If your child has been in school and you are wanting a Singapore secondary maths program for homeschool,  we recommend reading the Grade 6 comparison to see if your child is prepared.

Singapore maths is more advanced with fractions and geometry concepts at level 6, so there may be a lack. But there is no need to be alarmed, as Singapore maths programs are generally more advanced than the Australian Curriculum. 

Year 7 moves ahead with fractions and advances the use of percentages.

It’s also a good idea to check the Singapore maths year 8 comparison

For elaboration on the AC for year 7, check the AC website.

Now, let’s get into comparing homeschool high school Singapore maths with the Australian Curriculum.

Number and algebra

Australian Curriculumthink! Mathematics (New Syllabus Maths 8th Ed, Accelerated)
Number and place value
Investigate index notation
and represent whole numbers
as products of powers of prime numbers

Investigate and use square
roots of perfect square numbers

Apply the associative,
commutative and distributive
laws to aid mental and written computation
 
Compare, order, add and
subtract integers
Prime numbers

Square roots, cube roots

HCF and LCM

Approximation

Significant figures

Estimation, rounding, and truncation errors

Number patterns: number sequences
Real numbers
Compare fractions.
Locate and represent
positive and negative
fractions and mixed
numbers on a number
line.

Add and subtract
fractions

Multiply and divide
fractions and decimals 

Convert fractions,
decimals and
percentages

Round decimals

Solve problems involving simple ratios
Negative numbers: Add, subtract, multiply and divide

Fractions and mixed numbers: Add, subtract, multiply and divide

Decimals: Add, subtract, multiply and divide

Rational, irrational and real numbers

Percentage: change and reverse percentage; practical situations

Ratio, rate and speed
Money
Investigate and calculate ‘best buys’, with and without digital technologies
Patterns and algebra
Introduce variables

Create algebraic expressions and evaluate them by substituting a given value for each variable

Extend and apply the laws and properties of arithmetic to algebraic terms and expressions
Basic algebraic concepts and notations

Expansion and factorisation of linear expressions with fractional coefficients

Factorisation
Linear and non-linear relationships
Plot points on the Cartesian plane, and find coordinates for a given point

Solve simple linear equations

Investigate, interpret and analyse graphs
Cartesian coordinates

Functions

Graphs and linear functions

Equation and gradient of a straight line

Linear equations and real world applications

Formulae

Measurement and geometry

Australian Curriculum think! Mathematics (New Syllabus Maths 8th Ed, Accelerated)


Basic geometrical concepts and notations

Properties of angles formed by intersecting lines, and 2 parallel lines and transversal

Geometrical construction of triangles and quadrilaterals
Units of measurement
Formulas for areas of rectangles, triangles and parallelograms

Volume of rectangular prism
Conversion of units

Perimeter and area of plane figures, parallelograms and trapeziums

Volume and surface area of cubes, cuboids, prisms, cylinders and composite solids
Shape
Draw different views of prisms and solids
Location and transformation
Describe translations, reflections in an axis and rotations of multiples of 90° on the Cartesian plane

Symmetry
Geometric reasoning
Classify triangles

Use angle sum of a triangle to find the angle sum
of a quadrilateral

Co-interior angles and transversal

Parallel lines; solve problems
Points, lines

Angles: formed by 2 parallel lines and transversal

Triangles: classification, angles (interior, exterior), properties

Properties of special quadrilaterals

Properties and angles of polygons

Statistics and probability

Australian Curriculum think! Mathematics (New Syllabus Maths 8th Ed, Accelerated)
Chance
* Single-step experiments with equally likely outcomes
* Determine probabilities for events
Covered in Year 8
Data representation and interpretation
Identify and investigate issues involving numerical data 




Construct and compare a range of data displays including stem-and-leaf plots and dot plots

Calculate meanmedianmode and range, and interpret data
Introduction to Statistics
Frequency table
Evaluation of statistical representations
Statistical investigation
Pictograms; bar and line graphs; pie charts

Covered in Year 8


Covered in Year 8


If you are taking your child from a school to homeschool, we have some top tips to help you get going and succeed.

There are also many other resources available to help you including homeschooling support groups, government requirements and where to access resources.

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Singapore maths and homeschool curriculum



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