THE ASCENT LIBRARY
High School MathematicsOne idea at a time.
Build your foundations, find the topic you need, and take the next step with confidence.
Years 7–10 · Australian Curriculum01 / YOUR YEAR LEVEL
Start where you are.
02 / EXPLORE THE TOPICS
87 lessons availableYear 7 starts here.
Explore number, patterns and shapes as you build the foundations of high school maths.
87 subtopics
01
Whole numbers, factors and powers
6 subtopics1.1Place value and powers of ten1.2Efficient whole-number calculations and order of operations1.3Factors, multiples and primes1.4Prime factorisation and exponent notation1.5Square numbers and square roots1.6Estimation and rounding
Topic review1 practice test02
Integers
6 subtopics2.1Positive and negative numbers in context2.2Comparing and ordering integers2.3Number lines and directed change2.4Adding integers2.5Subtracting integers2.6Mixed addition/subtraction problems
Topic review1 practice test03
Fractions and decimals
7 subtopics3.1Equivalent fractions and mixed numbers3.2Ordering rational numbers on number lines3.3Adding/subtracting fractions3.4Multiplying/dividing fractions3.5Four operations with decimals3.6Converting between fractions and decimals3.7Multi-step problems and checking estimates
Topic review1 practice test04
Percentages and money
6 subtopics4.1Fractions–decimals–percentages4.2Percentages of quantities4.3Expressing one amount as a percentage of another4.4Discounts and sale prices4.5Practical spending/budget comparisons4.6Choosing and explaining a financial model
Topic review1 practice test05
Ratios and proportion
6 subtopics5.1Ratio notation and part-to-part/whole meaning5.2Equivalent ratios and simplest form5.3Dividing an amount in a ratio5.4Scaling recipes and mixtures5.5Ratio tables5.6Choosing, checking and explaining proportional models
Topic review1 practice test06
Algebraic expressions and formulas
7 subtopics6.1Variables, constants and terms6.2Mathematical notation and implied multiplication6.3Writing expressions from words6.4Grouping with brackets6.5Substituting into expressions/formulas6.6Simple equivalent expressions6.7Varying inputs in a digital formula table
Topic review1 practice test07
Linear equations
6 subtopics7.1Equality and balancing7.2Checking solutions by substitution7.3One-step addition/subtraction equations7.4One-step multiplication/division equations7.5Straightforward two-step equations7.6Writing an equation from a problem
Topic review1 practice test08
Coordinates, patterns and graphs
7 subtopics8.1Four-quadrant coordinates8.2Reading and plotting points8.3Growing visual patterns8.4Tables and rules8.5Graphing simple relationships8.6Discrete points versus continuous graphs8.7Interpreting authentic graphs and changes between variables
Topic review1 practice test09
Angles and polygons
8 subtopics9.1Measuring/classifying angles9.2Angles on lines and around points9.3Vertically opposite angles9.4Parallel lines and transversals9.5Triangle angle sums9.6Polygon angle sums9.7Classifying triangles/quadrilaterals9.8Shape-sorting rules and simple algorithms
Topic review1 practice test10
Transformations
6 subtopics10.1Translations10.2Reflections in coordinate axes10.3Rotations about a point10.4Recording transformations with coordinates10.5Sequences of transformations10.6Explaining what stays unchanged
Topic review1 practice test11
Perimeter, area and volume
7 subtopics11.1Metric units and appropriate precision11.2Perimeter11.3Area of rectangles, triangles and parallelograms11.4Radius, diameter, circumference and the meaning of pi11.5Nets and views of solids11.6Rectangular/triangular prism volume11.7Choosing useful 2D representations of objects
Topic review1 practice test12
Statistics
8 subtopics12.1Discrete and continuous data12.2Collecting data and writing a statistical question12.3Frequency tables and suitable graphs12.4Dot plots and stem-and-leaf plots12.5Mean, median, mode and range12.6Shape and outliers12.7Comparing displays and choosing a useful average12.8A complete small investigation and report
Topic review1 practice test13
Probability
7 subtopics13.1Outcomes and sample spaces13.2Equally likely versus unequal outcomes13.3Theoretical probability13.4Expected frequencies13.5Conducting single-stage experiments13.6Relative frequency13.7Digital simulations and explaining differences from predictions
Topic review1 practice testSchools may teach these topics in a different order.
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