Precalculus
Prepare your child for the next level of mathematics with a structured, live course covering functions, trigonometry, vectors, probability, data, and the founda
Learning Style
Interactive Learning
Learn • Practice • Grow
Build Skills with Confidence
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What's This Course About?
A fun learning journey designed to help children explore, understand and confidently apply new skills.
Functions & Function Analysis
What Your Child Will Learn
Relations and functions · notation · domain and range · zeros and intercepts · increasing and decreasing intervals · max and min · even and odd · average rate of change.
Transformations & Composition
What Your Child Will Learn
Parent functions · translations, reflections, stretches and compressions · combining transformations · composing and decomposing functions · the difference quotient.
Inverse Functions
What Your Child Will Learn
One-to-one functions · the horizontal line test · finding and verifying inverses · graphs of functions and inverses · domain res
Polynomial Functions
What Your Child Will Learn
Degree and leading coefficient · end behaviour · zeros and multiplicity · turning points · the Intermediate Value Theorem · graphing, writing and modelling.
Polynomial Equations & Complex Numbers
What Your Child Will Learn
Factoring higher-degree polynomials · polynomial and synthetic division · Remainder and Factor Theorems · complex zeros · Fundamental Theorem of Algebra · Rational Root Theorem.
Rational Functions
What Your Child Will Learn
Domain restrictions · zeros and intercepts · vertical, horizontal and slant asymptotes · holes and discontinuities · graphing, solving and modelling.
Exponential Functions
What Your Child Will Learn
Properties of exponential functions · growth and decay · transformations · exponential equations · compound and continuous interest · real-world modelling.
Logarithmic Functions
What Your Child Will Learn
Definition of logarithms · the exponential–log relationship · common and natural logs · properties · change of base · graphing · solving equations · modelling.
Angles & Radian Measure
What Your Child Will Learn
Degrees and radians · converting between them · coterminal and reference angles · standard position · arc length · sector area · angular and linear speed.
The Unit Circle
What Your Child Will Learn
Coordinates on the unit circle · sine, cosine and tangent · reciprocal functions · special and quadrantal angles · reference angles · signs and exact values.
Trigonometric Functions
What Your Child Will Learn
Sine, cosine, tangent, cosecant, secant and cotangent · domain and range · periodicity · amplitude · period · phase shifts.
Graphs of Trig Functions
What Your Child Will Learn
Graphing all six trigonometric functions · amplitude and period transformations · horizontal, phase and vertical shifts · trigonometric modelling.
Inverse Trig Functions
What Your Child Will Learn
Inverse sine, cosine and tangent · restricted domains · principal values · graphs · evaluating inverse trig expressions · compositions · applications.
Trigonometric Identities
What Your Child Will Learn
Reciprocal, quotient and Pythagorean identities · even/odd and cofunction identities · sum, difference, doubleangle and half-angle formulas · verifying identities.
Trigonometric Equations
What Your Child Will Learn
Basic and multiple-solution equations · restricted intervals · factoring · using identities · quadratic-form equations · exact and approximate solutions.
Oblique Triangles
What Your Child Will Learn
The Law of Sines and Law of Cosines · the ambiguous case · triangle area formulas and Heron's formula · bearings · navigation · indirect measurement.
Systems of Equations & Inequalities
What Your Child Will Learn
Linear systems review · nonlinear, linear-quadratic and polynomial systems · substitution and elimination · graphical solutions · systems of inequalities
Matrices & Determinants
What Your Child Will Learn
Matrix notation and operations · multiplication · identity matrices · determinants · inverse matrices · solving systems · Gaussian elimination · row operations.
Conic Sections
What Your Child Will Learn
Circles, parabolas, ellipses and hyperbolas · standard equations · vertices and centres · foci · directrices · asymptotes · graphing and translating conics.
Parametric Equations
What Your Child Will Learn
Parameterising curves · graphing parametric equations · eliminating the parameter · direction of motion · projectile-motion models and applications.
Polar Coordinates & Graphs
What Your Child Will Learn
The polar system · plotting polar points · converting polar and rectangular form · polar equations · circles, limaçons, roses and lemniscates.
Vector
What Your Child Will Learn
Vector quantities · magnitude and direction · component form · addition and scalar multiplication · unit vectors · direction angles · dot product · orthogonality.
Sequences
What Your Child Will Learn
Sequence notation · arithmetic and geometric sequences · recursive and explicit formulas · finding terms · Fibonacci-type sequences · modelling.
Series
What Your Child Will Learn
Finite, arithmetic and geometric series · sigma notation · properties of summation · infinite geometric series · convergence · applications.
Induction & Binomial Theorem
What Your Child Will Learn
Mathematical induction — base case, inductive hypothesis and inductive step · Pascal's Triangle · binomial coefficients · expanding binomial expressions.
Probability & Counting
What Your Child Will Learn
The Fundamental Counting Principle · factorials · permutations and combinations · compound and conditional probability · independent events · binomial probability.
Data, Regression & Modeling
What Your Child Will Learn
Scatter plots · correlation · linear, quadratic, polynomial and exponential regression · choosing and interpreting a model · predictions · model limitations.
Limits & Calculus Readiness
What Your Child Will Learn
The intuitive idea of a limit · limits from tables and graphs · one-sided limits · infinite behaviour · continuity · average vs instantaneous rate of change · secant and tangent lines.
Modeling & Problem Solving
What Your Child Will Learn
Building functions from real situations · choosing function families · interpreting parameters · comparing models · multistep problems · checking reasonableness.
A Better Way to Learn
Learning That Kids Look Forward To
Lessons are designed to keep children involved, curious and confident instead of simply watching and memorising.
Interactive Learning
Children learn by exploring concepts, solving activities and actively participating.
Made for Kids
Concepts are presented in a simple and engaging way that helps young learners stay interested.
Confidence Building
Step-by-step learning helps children strengthen skills and feel proud of their progress.
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Begin Your Child's Learning Adventure
Discover how engaging, guided and interactive learning can help your child build skills with confidence.