iMathMate covers the full K-12 mathematics curriculum — from counting and fractions to calculus and linear algebra — with concept-by-concept learning that builds real understanding.
Understanding how numbers are built, from ones and tens to millions, and how digits change meaning based on position.
Core arithmetic operations with whole numbers, including carrying and borrowing across place values.
Times tables, long multiplication, and division with and without remainders — built to make these feel natural, not memorised.
From understanding what a fraction means to adding, subtracting, multiplying, and dividing them with full step-by-step reasoning.
Converting between fractions, decimals, and percentages, plus real-world applications like discounts and interest.
Length, weight, time, volume, and temperature — plus converting between metric and imperial units confidently.
Understanding relationships between quantities — from unit rates to scale drawings to direct and inverse proportion.
Expanding the number line below zero — adding, subtracting, multiplying, and dividing with negative numbers.
Variables, expressions, equations, and inequalities — the foundation of all advanced math, taught one concept at a time.
Angles, triangles, quadrilaterals, circles, and the Pythagorean theorem — understanding shape properties with proof.
Mean, median, mode, range — plus reading and drawing bar charts, histograms, scatter plots, and box plots.
From coin flips to compound events — expressing likelihood, using tree diagrams, and understanding expected outcomes.
Linear equations, systems of equations, quadratics, polynomials, rational expressions, and function notation.
Proofs, congruence, similarity, transformations, coordinate geometry, volume, and surface area of 3D shapes.
Domain, range, function notation, linear/quadratic/exponential/logarithmic functions and their transformations.
Sin, cos, tan, the unit circle, trigonometric identities, graphs of trig functions, and solving trig equations.
Arithmetic and geometric sequences, sigma notation, convergence and divergence of infinite series.
Normal distribution, z-scores, confidence intervals, hypothesis testing, correlation, and regression analysis.
The foundations of calculus — understanding what a limit is, how to evaluate them, and what continuity means for a function.
Derivatives from first principles, chain rule, product rule, quotient rule, implicit differentiation, and related rates.
Antiderivatives, definite integrals, the Fundamental Theorem of Calculus, integration by substitution and by parts.
Vectors, matrices, systems of linear equations, determinants, eigenvalues and eigenvectors.
First and second order ODEs, separable equations, linear equations with constant coefficients, and applications.
Primes, GCD, modular arithmetic, combinatorics, permutations, combinations, and the Binomial Theorem.
iMathMate identifies exactly where to start and guides you through each topic — one concept at a time.