THE ASCENT LIBRARY
Mathematical MethodsOne idea at a time.
Connect functions, calculus and statistics. Find your year level, then take one concept at a time.
Years 11–12 · SACE01 / YOUR YEAR LEVEL
Start where you are.
02 / EXPLORE THE TOPICS
66 lessons availableYear 11 starts here.
Build the algebra, trigonometry and calculus foundations for Stage 2 Methods.
66 subtopics
01
Functions and straight-line graphs
11 subtopics1.1Function notation and evaluating rules1.2Dependent and independent variables1.3Domain and range1.4Functions versus relations and the vertical-line test1.5Gradient and intercepts1.6Finding a line from points or gradient1.7Parallel and perpendicular lines1.8Simultaneous linear equations and intersection models1.9Distance and midpoint1.10Inverse-proportion graphs and asymptotes1.11Circles and other simple relations
Topic review5 practice tests02
Quadratics and polynomial graphs
11 subtopics2.1Expanding and factorising quadratics2.2Solving by factorisation2.3Completing the square2.4Quadratic formula and exact surd answers2.5Discriminant and the nature of roots2.6Vertex/intercept/axis features2.7Converting quadratic forms2.8Sum and product of roots2.9Building quadratic models from information2.10Cubic factors and roots2.11Cubic and quartic graphs and models
Topic review5 practice tests03
Trigonometry
11 subtopics3.1Right-triangle revision3.2Sine rule and ambiguous cases3.3Cosine rule3.4Non-right-triangle area3.5Radians and degree conversion3.6Arc length and sector area3.7Unit-circle definitions and exact values3.8Sine/cosine/tangent graphs3.9Simple transformations and periodicity3.10Solving trigonometric equations on stated intervals3.11Triangle and periodic-model applications
Topic review5 practice tests04
Exponentials and logarithms
10 subtopics4.1Integer and fractional index laws4.2Rational/irrational numbers and surd operations4.3Exponential growth and decay4.4Transformations and asymptotes of exponential graphs4.5Fitting/interpreting exponential models4.6Compound growth, depreciation and half-life4.7Meaning of a logarithm4.8Logarithm laws4.9Solving exponential equations with base-10 logs4.10Checking domains and the reasonableness of model predictions
Topic review5 practice tests05
Introduction to calculus
10 subtopics5.1Average rates and secant gradients5.2Instantaneous rates and limiting secants5.3Derivative notation and the derivative function5.4Differentiating powers and polynomials5.5Tangent and normal lines5.6Derivative sign and increasing/decreasing intervals5.7Stationary points5.8First-derivative graph analysis5.9Simple optimisation5.10Displacement, velocity and acceleration models
Topic review5 practice tests06
Counting and introductory statistics
13 subtopics6.1Multiplication principle6.2Factorials6.3Permutations6.4Combinations6.5Pascal's triangle and finite binomial expansion6.6Discrete versus continuous data6.7Samples and populations6.8Mean/median/mode6.9Range, quartiles and interquartile range6.10Sample standard deviation6.11Comparing distributions6.12Normal-curve features and the 68–95–99.7 rule6.13Estimating proportions in normal models with appropriate technology
Topic review5 practice testsSchools may teach these topics in a different order.
A QUESTION IS A GOOD BEGINNING.
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