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 Curriculum | think! 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 mean, median, mode 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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