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Algebra and Graphs

Algebra and Graphs

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Basic Expressions and Formulas

Mapping time to speed with a table showing time in hours and corresponding speed in km/h, illustrating the relationship between the two quantities.
Grade 8

Introduction to Mapping

Mapping in math shows the relationship between two quantities, like time and speed. Learn how to use…
Introduction to formulas showing a mathematical equation y = 2x + 3, with examples for x values of 1, 2, and 3, and the definition of a formula.
Grade 8

Introduction to Formulas

A formula is a mathematical equation connecting variables, like y = 2x + 3. Learn how to substitute …
An example of expressions with one variable 20 + 5x, where the variable x represents the number of months.
Grade 9

Deriving and Evaluating Expressions with One Variable

A variable is a symbol (e.g., x) that represents a changing value. Learn how to derive and evaluate …

Equations and Simplifications

Steps to simplify an expression by expanding brackets and collecting like terms, showing -5x + 2(3 + x) simplified to -3x + 6.
Grade 9

Simplifying Expressions

Simplifying expressions by expanding brackets and combining like terms to create a simplified…
Solving an equation means finding the value of the unknown that makes the equation true, shown with the example x + 3 = 8, where x = 5.
Grade 9

Solving Equations

Solving equations, simplifying expressions, and rearranging equations with clear, step-by-step…
Steps to solve rational equations with x in the denominator, including isolating x, clearing the denominator, and checking the solution.
Grade 9

Solving Rational Equations

Solve by isolating x, clearing denominators, and checking solutions. Learn step-by-step with example…
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Expanding and Binomials

Expanding double brackets showing the binomial product formula (a+b)(c+d)=ac+ad+bc+bd step-by-step.
Grade 10

Expanding Double Brackets

Learn expanding double brackets with formula (a+b)(c+d) = ac+ad+bc+bd. Follow step-by-step examples…
Three binomial square formulas, including (a + b)² = a² + b² + 2ab, (a - b)² = a² + b² - 2ab, and (a + b)(a - b) = a² - b².
Grade 10

Square of a Binomial

The square of a binomial involves expanding expressions like (a + b)² and (a – b)². Learn the…

Quadratic Equations

Quadratic equation formula y = ax² with a not equal to zero, highlighting coefficient 'a'.
Grade 11

Simple Quadratic Equations

Learn basic quadratic equations, the standard parabola, and how the coefficient ‘a’ affects its …
Vertex form of quadratic equation y = a(x - h)² + k, showing the vertex at point (h,k) on a graph of a parabola.
Grade 11

Vertex Form and Parabola Transformations

The vertex form of a quadratic equation is y = a(x – h)² + k, where (h, k) is the vertex of the…
Converting quadratic equations between standard form y = ax² + bx + c and vertex form y = a(x - h)² + k.
Grade 11

Converting Quadratics: Standard Form and Vertex Form

Learn step-by-step how to convert a quadratic equation between standard form and vertex form. Master…
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Functions and Graphs

Plotting points on a coordinate plane with positive and negative coordinates.
Grade 10

Plotting and Reflecting Points on the Coordinate Plane

The coordinate plane has two perpendicular axes: x (horizontal) and y (vertical). Learn how to plot…
Visual representation of function notation showing the function f(x) = 2x + 1 and its calculated outputs for f(1), f(2), and f(3).
Grade 10

Introduction to Functions and Graphs

Learn function definition, notation, how to graph functions, and how to find values with examples….
In y = mx + c, m is the gradient, and c is the y-intercept of linear equations (a straight line on graph).
Grade 10

Gradient and Y-Intercept in Linear Equations

The equation y = mx + c represents a straight line, where m is the gradient and c is the y-intercept…
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Simultaneous Equations

System of linear equations representing Sebastian's and Sarah's ages with equations x + y = 20 and x - y = 10.
Grade 10

Solving Simultaneous Equations Graphically

Solve simultaneous equations graphically, exploring different types of solutions and how to…
Methods for solving linear systems using Equal Values and Substitution methods, showing steps to isolate variables and solve equations.
Grade 10

Simultaneous Equations: Equal Values and Substitution Method

Learn how to solve systems of linear equations using Equal Values Method and Substitution Method…
Solving simultaneous equations using the elimination method with subtraction steps.
Grade 10

Elimination Method for Solving Simultaneous Equations

Solve simultaneous equations using the elimination method, focusing on addition and subtraction tech…

Course Content

Basic Expressions and Formulas
Equations and Simplifications
Expanding and Binomials
Quadratic Equations
Functions and Graphs
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