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
100 lessons availableYear 10 starts here.
Bring your skills together through functions, geometric reasoning and statistical relationships.
100 subtopics
01
Algebra
8 subtopics1.1Simplifying expressions1.2Expanding products1.3Common-factor factorisation1.4Algebraic fractions and restrictions1.5Operations with algebraic fractions1.6Equations with algebraic fractions and rational coefficients1.7Rearranging formulas1.8Checking solutions and domains
Topic review3 practice tests02
Linear equations and inequalities
6 subtopics2.1Multi-step linear equations2.2Simultaneous equations by graphs, substitution and elimination2.3One/no/infinite solutions2.4One-variable inequalities2.5Two-variable inequalities and shaded regions2.6Practical simultaneous/inequality models and checks
Topic review3 practice tests03
Quadratics and Parabolas
11 subtopics3.1Expanding quadratic products3.2Monic and non-monic factorisation3.3Zero-product equations3.4Completing the square3.5Quadratic formula3.6Discriminant and number of real roots3.7Expanded, factored and vertex forms3.8Roots, intercepts, symmetry and turning points3.9Sketching by hand and with graphing tools3.10Graphical/numerical solutions3.11Quadratic applications and model checks
Topic review3 practice tests04
Exponential relationships
15 subtopics4.1Integer and fractional index laws4.2Connecting fractional powers with roots4.3Simplifying surds4.4Operations with surds4.5Rationalising denominators4.6Exact and approximate values4.7Exponential tables and graphs4.8Growth/decay factors4.9Comparing linear/quadratic/exponential patterns4.10Exponential equations4.11Logarithms as inverses4.12Logarithm laws4.13Interpreting logarithmic scales4.14Graph transformations and parameter experiments4.15Choosing and evaluating models
Topic review3 practice tests05
Financial mathematics
7 subtopics5.1Simple versus compound growth5.2Compound interest5.3Depreciation5.4Repeated percentage change5.5Savings/loan scenarios with supplied models5.6Changing assumptions and checking results5.7Spreadsheets/digital models
Topic review3 practice tests06
Pythagoras and Trigonometry
12 subtopics6.1Multi-step right-triangle problems6.2Elevation/depression6.3Bearings and directions6.4Linked triangles6.5Sine rule6.6Cosine rule6.7Area of non-right triangles6.8Exact values from special triangles6.9Unit-circle meaning6.10Sine/cosine graphs and symmetry6.11Suitable trigonometric equations on a stated interval6.12Precision and practical applications
Topic review3 practice tests07
Measurement and scale
8 subtopics7.1Surface area of composite solids7.2Volume of composite solids7.3Proportion/scaling of objects7.4Related length/area/volume factors7.5Measurement error7.6The effect of rounding and repeated approximations7.7Practical design models7.8Evaluating assumptions and suitable precision
Topic review3 practice tests08
Geometry and proof
8 subtopics8.1Angle and similarity reasoning8.2Congruent/similar triangles in proofs8.3Chords, radii and tangents8.4Angles at the centre and circumference8.5Circle theorems and their applications8.6Connected deductive arguments8.7Construction/spatial algorithms8.8Testing and justifying solutions
Topic review3 practice tests09
Networks
5 subtopics9.1Vertices, edges and connections9.2Drawing networks from situations9.3Interpreting connectedness and routes9.4Comparing representations9.5Using networks to explain practical relationships
Topic review3 practice tests10
Statistics and data analysis
12 subtopics10.1Mean, median and range in continuous distributions10.2Quartiles and five-number summaries10.3Interquartile range and box plots10.4Percentiles and cumulative frequencies10.5Standard deviation10.6Comparing distributions10.7Scatterplots10.8Direction/strength/form of association10.9Association versus causation10.10Categorical two-way tables10.11Misleading claims and bias10.12A bivariate investigation and its limitations
Topic review3 practice tests11
Probability
8 subtopics11.1Compound events11.2Systematic counting and the multiplication principle11.3Factorials and simple arrangements11.4Conditional language and restricted sample spaces11.5Conditional probabilities from tables/trees11.6Replacement and dependence11.7Conditional versus unconditional probabilities11.8Designing and interpreting simulations
Topic review3 practice testsSchools may teach these topics in a different order.
A QUESTION IS A GOOD BEGINNING.
Your student space