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Maths learning and practice
Build your understanding of numbers, algebra, geometry, functions, probability and statistics. Change an example, follow the reasoning and practise the skill you want to improve.
15 topics · 75 skills · Free plan available
Start learning MathsAlgebra Basics
Letters standing for numbers: variables and constants, writing expressions, simplifying them, and using them to solve problems.
- Algebraic Expressions
- Simplifying Expressions
- Using Algebra in Problems
- Variables & Constants
- What Is Algebra
Analytic Geometry
Geometry on a grid — the coordinate plane, distance and midpoint, the slope of a line, and the equation of one.
- Coordinate Plane
- Distance Between Points
- Line Equations
- Midpoint Formula
- Slope of a Line
Arithmetic Basics
The four operations and the number types they work on, mental methods, and the order operations are done in.
- Addition & Subtraction
- Mental Math Basics
- Multiplication & Division
- Number Types
- Order of Operations
Decimals
Decimals — place value, the four operations, rounding, and where decimals turn up in everyday life.
- Decimal Operations
- Decimal Place Value
- Decimals in Real Life
- Rounding Decimals
- What Are Decimals
Fractions
Fractions: what they are, equivalent forms, the four operations, improper and mixed numbers, and using them in practice.
- Equivalent Fractions
- Fraction Operations
- Fractions in Practice
- Improper & Mixed Fractions
- What Are Fractions
Functions
What a function is: notation, inputs and outputs, evaluating one, and reading it off a graph.
- Evaluating Functions
- Function Notation
- Functions in Graphs
- Inputs & Outputs
- What Is a Function
Geometry Basics
The shapes of plane geometry — points, lines and planes, angles, triangles and polygons, perimeter and area.
- Angles
- Perimeter & Area
- Points, Lines & Planes
- Polygons
- Triangles
Intro to Calculus
Why calculus exists — the idea of a limit, what a derivative and an integral are, and where they are applied.
- Calculus Applications
- Derivatives Overview
- Integrals Overview
- Limits Concept
- Why Calculus Exists
Linear Algebra
Vectors and matrices: matrix operations, linear transformations, and what they are used for.
- Linear Algebra Uses
- Linear Transformations
- Matrices
- Matrix Operations
- Vectors
Linear Equations
Linear equations — solving in one and two variables, graphing them, and turning a word problem into one.
- Graphing Linear Equations
- Solving One-Variable Equations
- Solving Two-Variable Equations
- What Is a Linear Equation
- Word Problems
Percentages
Percentages: finding one of a number, increase and decrease, converting to and from fractions, and real cases.
- Increase & Decrease
- Percentage Conversion
- Percentage of a Number
- Percentages in Real Life
- What Is a Percentage
Probability
How likely something is: sample spaces, simple and compound events, and probability outside the classroom.
- Compound Events
- Probability Basics
- Probability in Real Life
- Sample Space
- Simple Probability
Quadratics
Quadratics — the expressions, factoring, the quadratic formula, the shape of a parabola, and the problems they solve.
- Factoring Quadratics
- Graphing Parabolas
- Quadratic Expressions
- Quadratic Formula
- Quadratics in Problems
Statistics Basics
Making sense of data — mean, median and mode, range and variability, and showing data so it can be read.
- Data Visualization
- Mean, Median & Mode
- Range & Variability
- Statistics in Practice
- What Is Statistics
Trigonometry
Triangles and angles: the trigonometric ratios, sine, cosine and tangent, right-triangle problems, and the unit circle.
- Right Triangle Problems
- Sine, Cosine & Tangent
- Trigonometric Ratios
- Trigonometry Applications
- Unit Circle Basics
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