Singapore maths and Australian Curriculum Year 7 comparison

Here we begin our comparison of highschool Singapore maths with the Australian Curriculum (AC). If you choose a Year 7 Singapore maths program for homeschool, and have come from a school, you should check the Grade 6 comparison to see if your child is prepared. Don’t be surprised if there is a lack, it’s not unusual, as Singapore maths is more advanced with fractions and geometry concepts at that level.

Year 7 Singapore maths moves on from fractions, which are not covered in year 7 due to being advanced enough in the year 6 program. It concentrates on and develops the use of percentages more in year 7.

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 8.

For elaboration on the AC for year 7, check the AC website. On with the comparison!

Number and algebra

Australian Curriculum	New Syllabus Maths 7th Ed. (Accelerated)	New Syllabus Maths Normal Academic
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	Prime numbers Square roots, cube roots HCF and LCM Significant figures; approximation; non-exact answers and intermediate working 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 Rational and real numbers Percentage: change and reverse percentage; practical situations Ratio, rate and speed	Negative numbers: Add, subtract, multiply and divide Rational 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	Fundamental algebra Expansion and simplification of linear expressions with and without fractional coefficients Factorisation	Fundamental algebra Expansion and simplification of linear expressions
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 Gradient of a straight line Linear equations and real world applications Formulae Simple inequalities	Linear equations Formulae

Measurement and geometry

Australian Curriculum	New Syllabus Maths 7th Ed. (Accelerated)	New Syllabus Maths Normal Academic
	Intro to geometrical constructions Perpendicular and angle bisectors 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 Nets Volume and surface area of cubes, cuboids, prisms, cylinders and composite solids	Conversion of units Perimeter and area of plane figures, parallelograms and trapeziums Nets 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, planes Angles: formed by 2 parallel lines and transversal Triangles: classification, angles (interior, exterior), properties Properties of special quadrilaterals Properties and angles of polygons	Points, lines, planes Angles: formed by 2 parallel lines and transversal

Statistics and probability

Australian Curriculum	New Syllabus Maths 7th Ed. (Accelerated)	New Syllabus Maths Normal Academic
Chance * Single-step experiments with equally likely outcomes * Determine probabilities for events	Covered in Year 8	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; real world contexts; evaluation of statistics Pictograms; bar and line graphs; pie charts	Introduction to Statistics; real world contexts; evaluation of statistics Pictograms; bar and line graphs; pie charts