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Complete Coverage

Every Math Topic,
Clearly Explained

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.

Foundation Arithmetic & Number Sense Grades K–5
🔢

Place Value & Number Systems

Understanding how numbers are built, from ones and tens to millions, and how digits change meaning based on position.

Counting Place value Comparing numbers

Addition & Subtraction

Core arithmetic operations with whole numbers, including carrying and borrowing across place values.

Basic facts Multi-digit Word problems
✖️

Multiplication & Division

Times tables, long multiplication, and division with and without remainders — built to make these feel natural, not memorised.

Times tables Long division Factors
🍕

Fractions

From understanding what a fraction means to adding, subtracting, multiplying, and dividing them with full step-by-step reasoning.

Equivalent fractions Operations Mixed numbers
💯

Decimals & Percentages

Converting between fractions, decimals, and percentages, plus real-world applications like discounts and interest.

Conversions Rounding Real-world %
📐

Measurement & Units

Length, weight, time, volume, and temperature — plus converting between metric and imperial units confidently.

Units Conversions Perimeter & area
Middle School Pre-Algebra & Geometry Grades 6–8
📊

Ratios, Rates & Proportions

Understanding relationships between quantities — from unit rates to scale drawings to direct and inverse proportion.

Ratios Unit rates Proportions
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Integers & Negative Numbers

Expanding the number line below zero — adding, subtracting, multiplying, and dividing with negative numbers.

Absolute value Number line Operations
🔣

Introduction to Algebra

Variables, expressions, equations, and inequalities — the foundation of all advanced math, taught one concept at a time.

Variables Equations Inequalities
📐

Geometry Foundations

Angles, triangles, quadrilaterals, circles, and the Pythagorean theorem — understanding shape properties with proof.

Angles Area & perimeter Pythagoras
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Statistics & Data

Mean, median, mode, range — plus reading and drawing bar charts, histograms, scatter plots, and box plots.

Averages Charts Data analysis
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Probability

From coin flips to compound events — expressing likelihood, using tree diagrams, and understanding expected outcomes.

Basic probability Tree diagrams Outcomes
High School Algebra, Geometry & Trigonometry Grades 9–11
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Algebra I & II

Linear equations, systems of equations, quadratics, polynomials, rational expressions, and function notation.

Linear equations Quadratics Polynomials
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Geometry

Proofs, congruence, similarity, transformations, coordinate geometry, volume, and surface area of 3D shapes.

Proofs Transformations Volume
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Functions & Graphs

Domain, range, function notation, linear/quadratic/exponential/logarithmic functions and their transformations.

Domain & range Transformations Graphs
📡

Trigonometry

Sin, cos, tan, the unit circle, trigonometric identities, graphs of trig functions, and solving trig equations.

SOHCAHTOA Unit circle Identities
🧮

Sequences & Series

Arithmetic and geometric sequences, sigma notation, convergence and divergence of infinite series.

Arithmetic Geometric Series
🎲

Advanced Statistics

Normal distribution, z-scores, confidence intervals, hypothesis testing, correlation, and regression analysis.

Normal dist. Hypothesis Regression
Advanced Calculus & Beyond Grade 12 & University
📈

Limits & Continuity

The foundations of calculus — understanding what a limit is, how to evaluate them, and what continuity means for a function.

Limits Continuity Squeeze theorem

Differentiation

Derivatives from first principles, chain rule, product rule, quotient rule, implicit differentiation, and related rates.

Chain rule Implicit Applications

Integration

Antiderivatives, definite integrals, the Fundamental Theorem of Calculus, integration by substitution and by parts.

FTC Substitution By parts
🧊

Linear Algebra

Vectors, matrices, systems of linear equations, determinants, eigenvalues and eigenvectors.

Matrices Eigenvalues Vector spaces
🔁

Differential Equations

First and second order ODEs, separable equations, linear equations with constant coefficients, and applications.

Separable Linear ODEs Applications
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Number Theory & Discrete Math

Primes, GCD, modular arithmetic, combinatorics, permutations, combinations, and the Binomial Theorem.

Primes Combinatorics Binomial
All Topics, One App

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iMathMate identifies exactly where to start and guides you through each topic — one concept at a time.

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