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Singapore maths and Australian Curriculum Year 7 comparison

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. ┬áDon’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 CurriculumNew 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 8Covered 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; 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

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