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Algebra and Graphs

Algebra and Graphs

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Basic Expressions and Formulas

Math Angel video: Mapping time to speed with a table showing hours and corresponding speeds in km/h, illustrating the relationship between time and speed.
Grade 8

Introduction to Mapping

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

Introduction to Formulas

A formula is a mathematical equation connecting variables, like y = 2x + 3. Learn how to substitute …
Math Angel video: Example of expressions with one variable—20 + 5x, where x represents the number of months, illustrating algebraic concepts simply.
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

Math Angel video: Steps to simplify expressions—expand brackets and collect like terms, example: -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…
Math Angel video: Solving an equation means finding the unknown value that makes it true, shown with x + 3 = 8, where x = 5.
Grade 9

Solving Equations

Solving equations, simplifying expressions, and rearranging equations with clear, step-by-step…
Math Angel video: Steps to solve rational equations with x in the denominator—isolating x, clearing the denominator, and checking the solution clearly explained.
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

Math Angel video: Expanding double brackets step-by-step using the binomial product formula (a+b)(c+d) = ac + ad + bc + bd for clear understanding.
Grade 10

Expanding Double Brackets

Learn expanding double brackets with formula (a+b)(c+d) = ac+ad+bc+bd. Follow step-by-step examples…
Math Angel video: Square of a binomial formula—shows (a + b)² = a² + b² + 2ab with coloured squares and rectangles representing each term visually.
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

Math Angel video: Quadratic equation formula y = ax², highlighting the coefficient 'a' where a ? 0, for clear understanding of quadratic graphs.
Grade 11

Simple Quadratic Equations

Learn basic quadratic equations, the standard parabola, and how the coefficient ‘a’ affects its …
Math Angel video: Vertex form of quadratic equation y = a(x - h)² + k, showing the vertex at (h, k) on a parabola graph for easy visualization.
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…
Math Angel video: Converting quadratic equations between standard form y = ax² + bx + c and vertex form y = a(x - h)² + k with clear examples.
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

Math Angel video: Coordinate plane showing positive and negative numbers, with the origin clearly marked at (0,0) for easy understanding.
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…
Math Angel video: Visual representation of function notation—shows f(x) = 2x + 1 with calculated outputs for f(1), f(2), and f(3) for clear understanding.
Grade 10

Introduction to Functions and Graphs

Learn function definition, notation, how to graph functions, and how to find values with examples….
Math Angel video: In y = mx + c, m is the gradient and c is the y-intercept, explaining linear equations as straight lines on a 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

Math Angel video: System of linear equations for Sebastian’s and Sarah’s ages, with x + y = 20 and x - y = 10, illustrating simultaneous equations.
Grade 10

Solving Simultaneous Equations Graphically

Solve simultaneous equations graphically, exploring different types of solutions and how to…
Math Angel video: Equal Values Method to solve equations by isolating variables, example 2x + y = 8 and x - y = 1, solution x = 3, y = 2.
Grade 10

Simultaneous Equations: Equal Values and Substitution Method

Learn how to solve systems of linear equations using Equal Values Method and Substitution Method…
Math Angel video: Solving simultaneous equations using the elimination method, demonstrating subtraction steps for finding variable values easily.
Grade 10

Elimination Method for Solving Simultaneous Equations

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

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