Year 10 to University
Algebra Index

Algebra

Absolute Value in Algebra

Activity: Buffon's Needle

Activity: Soup Can

Algebra - Definitions

Algebra Mistakes

Change of Variables

Definition of Absolute Value

Definition of Difference of Squares

Definition of Radical

Definition of Standard Form

Definition of Standard Form (Numbers)

Definition of Trinomial

Degree (of an Expression)

Directly Proportional

Dividing by Zero

Equations and Formulas

Factoring in Algebra

Factoring Quadratics

Fractional Exponents

Fractions in Algebra

General Form of a Polynomial

Introduction to Algebra

Introduction to Algebra - Multiplication

Mathematical Models

Mathematical Models 2

Order of Operations - BODMAS

Order of Operations - PEMDAS

Partial Fractions

Rational Expressions

Rationalize the Denominator

Scientific Notation

Solving Equations

Solving Inequality Questions

Solving Radical Equations

Solving Rational Inequalities

Solving Word Questions

Special Binomial Products

Squares and Square Roots in Algebra

The Language of Mathematics

Using Rational Expressions

Zero Product Property

Exponents

Compound Interest

Definition of Monomial

e - Euler's number

Exponential Function Reference

Exponential Growth and Decay

Exponents of Negative Numbers

Fractional Exponents

Function Grapher and Calculator

Laws of Exponents

Multiplying Polynomials

Negative Exponents

Squares and Square Roots in Algebra

Using Exponents in Algebra

Variables with Exponents - How to Multiply and Divide them

Working with Exponents and Logarithms

Inequalities

Absolute Value in Algebra

Graphing Linear Inequalities

Inequality Grapher

Properties of Inequalities

Solving Equations

Solving Inequalities

Solving Quadratic Inequalities

Solving Rational Inequalities

Coordinates

Activity: A Walk in the Desert 2

Cartesian Coordinates

Definition of Polar Coordinates

Polar and Cartesian Coordinates

Sine, Cosine and Tangent in Four Quadrants

Linear Equations

Balance when Adding and Subtracting

Puzzle - Pencils and Jars

Solving Equations

Solving Inequalities

Solving Word Questions

Systems of Linear Equations

Quadratic Equations

Completing the Square

Derivation of Quadratic Formula

Equation Grapher

Explore the Quadratic Equation

Factoring Quadratics

Function Grapher and Calculator

Fundamental Theorem of Algebra

Polynomials: Sums and Products of Roots

Quadratic Equation Solver

Quadratic Equations

Real World Examples of Quadratic Equations

Solving Equations

Solving Word Questions

Systems of Linear and Quadratic Equations

Systems of Linear and Quadratic Equations Solving Graphically

Zero Product Property

Trigonometry

3, 4, 5 Triangle

Activity: A Walk in the Desert

Activity: A Walk in the Desert 2

Activity: Drawing Squares

Activity: Pythagoras' Theorem

Amplitude, Period, Phase Shift and Frequency

Area of Triangles Without Right Angles

Compass: North South East and West

Congruent Triangles

Definition of Cosecant

Definition of Cosine

Definition of Cotangent

Definition of Frequency

Definition of Pythagoras Theorem

Definition of Secant (function)

Definition of Sine

Definition of Tangent (function)

Definition of Triangle Inequality Theorem

Domain, Range and Codomain

Equation Grapher

Finding a Side in a Right Angled Triangle

Finding an Angle in a Right Angled Triangle

Function Grapher and Calculator

Graphs of Sine, Cosine and Tangent

Heron's Formula

How To Find if Triangles are Congruent

How To Find if Triangles are Similar

Interactive Triangles

Interactive Unit Circle

Introduction to Waves

Inverse Functions

Inverse Sine, Cosine, Tangent

Magic Hexagon for Trig Identities

Polar and Cartesian Coordinates

Pythagoras Theorem

Pythagoras Theorem in 3D

Pythagorean Theorem Proof

Random Trigonometry

Right Angled Triangles

Scientific Calculator

Similar Triangles

Sine Function - Graph Exercise

Sine, Cosine and Tangent in Four Quadrants

Sine, Cosine, Tangent

Sohcahtoa: Sine, Cosine, Tangent

Solving AAA Triangles

Solving AAS Triangles

Solving ASA Triangles

Solving SAS Triangles

Solving SSA Triangles

Solving SSS Triangles

Solving Triangles

Solving Triangles by Reflection

The Law of Cosines

The Law of Sines

Triangle Centers

Triangle Identities

Triangles - Equilateral, Isosceles and Scalene

Triangles Contain 180 Degrees

Trigonometric Identities

Logarithms

e - Euler's number

Exponential Function Reference

Exponential Growth and Decay

Introduction to Logarithms

Inverse Functions

Irrational Numbers

Logarithmic Function Reference

Logarithms Can Have Decimals

Working with Exponents and Logarithms

Polynomials

Adding and Subtracting Polynomials

Approximate Solutions

Definition of Binomial

Definition of Monomial

Definition of Polynomial

Difference of Two Cubes

Dividing Polynomials

Factoring in Algebra

Factoring Quadratics

Function Grapher and Calculator

Fundamental Theorem of Algebra

How Polynomials Behave

Linear Equations

Multiplying Polynomials

Polynomials - Long Division

Polynomials - Long Multiplication

Polynomials: Bounds on Zeros

Polynomials: Sums and Products of Roots

Polynomials: The Rule of Signs

Quadratic Equation Solver

Quadratic Equations

Rational Expressions

Remainder Theorem and Factor Theorem

Solving Polynomials

Special Binomial Products

Sets

Activity: Subsets

Commutative, Associative and Distributive Laws

Definition of Additive Identity

Definition of Additive Inverse

Definition of Associative Law

Definition of Commutative Law

Definition of Distributive Law

Definition of Identity

Definition of Inverse

Definition of Multiplicative Identity

Definition of Real Numbers

Definition of Reciprocal

Definition of Set

Introduction to Groups

Introduction to Sets

Power Set Maker

Real Number Properties

Set-Builder Notation

Sets and Venn Diagrams

Logic

Definition of Open Sentence

Knights and Knaves

Knights and Knaves 2

Lying about their age

Mathematical Induction

Theorems, Corollaries, Lemmas

Functions

Absolute Value Function

Absolute Value in Algebra

Activity: Soup Can

Common Functions Reference

Composition of Functions

Continuous Functions

Definition of Domain of a function

Definition of Function

Definition of Range of a function

Domain, Range and Codomain

Equation of a Straight Line

Evaluating Functions

Even and Odd Functions

Explore the Quadratic Equation

Exponential Function Reference

Floor and Ceiling Functions

Function Grapher and Calculator

Function Grapher and Calculator

Function Transformations

Graph of an Equation

Graphing Quadratic Equations

Graphs of Sine, Cosine and Tangent

How Polynomials Behave

Increasing and Decreasing Functions

Injective, Surjective and Bijective

Intermediate Value Theorem

Inverse Functions

Linear Equations

Logarithmic Function Reference

Maxima and Minima of Functions

Operations with Functions

Piecewise Functions

Polynomials: Bounds on Zeros

Polynomials: The Rule of Signs

Quadratic Equations

Rational Expressions

Reciprocal Function

Rounding Methods

Set-Builder Notation

Square Function

Square Root Function

Symmetry in Equations

What is a Function

Working with Exponents and Logarithms

Sequences and Sums

Activity: A Walk in the Desert

Activity: Drawing Squares

Activity: Subsets

Arithmetic Sequences and Sums

Binomial Theorem

Combinations and Permutations

Combinations and Permutations Calculator

Definition of Arithmetic Sequence

Definition of Geometric Sequence

Factorial Function !

Fibonacci Sequence

Geometric Sequences and Sums

Nature, The Golden Ratio and Fibonacci Numbers

Number Sequences - Square, Cube and Fibonacci

Pascal's Triangle

Sequences - Finding A Rule

Tetrahedral Number Sequence

Triangular Number Sequence

Infinite Series

Vectors

Definition of Vector

Vector Calculator

Matrices

Commutative, Associative and Distributive Laws

Definition of Commutative Law

Determinant of a Matrix

Eigenvector and Eigenvalue

How to Multiply Matrices

Inverse of a Matrix

Inverse of a Matrix using Elementary Row Operations (Gauss-Jordan)

Inverse of a Matrix using Minors, Cofactors and Adjugate

Matrix Calculator

Solving Systems of Linear Equations Using Matrices

Systems of Linear Equations

Transformations and Matrices

Types of Matrix

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