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Course Materials
Lessons
Expanding Single Brackets
- Video - Expanding Expressions (6:15)
- Video - Expanding Single Brackets (4:27)
- Video - Expansion of Single Brackets (4:58)
- Video - Expansion of Single Brackets and Simplify (2:58)
- Video - Expansion of two Single Brackets and Simplify (4:10)
- Topic - Expand and Simplify: Coefficients Times Linear Binomial Terms
- Topic - Expand and Simplify: Variables Times Linear Binomial Terms
- Topic - Expand and Simplify: Coefficient Times Trinomials
- Topic - Expand and Simplify: Variables Times Trinomials
- Topic - Expand and Simplify: Quadratic Times Linear Binomial Terms
- Topic - Expand and Simplify: Multiple Single Brackets
- Topic - Expand and Simplify: Multiple Single Brackets with Variables
Expanding Pairs of Brackets
- Video - Expanding and Simplifying Expressions (9:40)
- Video - Expanding Pair of Brackets (10:35)
- Video - Expanding Pair of Brackets and Additional Terms (6:22)
- Video - Expanding with Trinomials (4:28)
- Video - 2 by 3 Expansions (4:48)
- Video - The Product of Two Linear Expressions (2:58)
- Video - Expanding Pairs of Brackets (7:27)
- Topic - Linear Times Linear
- Topic - Linear Times Linear with Coefficients
- Topic - Non-Monic Linear Times Non-Monic Linear
- Topic - Non-Monic Linear Times Non-Monic Linear with Coefficients
- Topic - Square of Linear Expressions
- Topic - Square of Linear Expressions with Coefficients
- Topic - Linear Times Quadratics
- Topic - Linear Times Trinomials
Expanding Difference of Squares
- Video - Expanding Difference of Squares (7:05)
- Video - Expanding Difference of Two Squares (4:51)
- Topic - Expand Difference of Squares: Variables and Constants
- Topic - Expand Difference of Squares: Mixed Variables and Constants
- Topic - Expand Difference of Squares: Constants and Variables
- Topic - Expand Difference of Squares: Non-Monic Variables
- Topic - Expand Difference of Squares: Multiplier
- Topic - Expand Difference of Squares: Multiplier to Non-Monic Variables
Perfect Square Expansions
- Video - Basic Square Expansions (5:19)
- Video - Further Square Expansions (4:47)
- Video - Expanding with Squares (7:40)
- Video - Expanding with Completed Squares (9:46)
- Video - Expanding Perfect Squares (6:56)
- Topic - Expand Squares of Additions of Monic Expressions
- Topic - Expand Squares of Subtractions of Monic Expressions
- Topic - Expand Squares of Additions of Non-Monic Expressions
- Topic - Expand Squares of Subtractions of Non-Monic Expressions
- Topic - Expand Squares of Additions of Non-Monic Expressions with Coefficients
- Topic - Expand Squares of Subtractions of Non-Monic Expressions with Coefficients
- Topic - Expand and Simplify Squares
Further Expansions Cubes
- Video - Monic Cubic Expansions (5:31)
- Video - Cubic Expansions (2:55)
- Video - Non-Monic Cubic Expansions (9:42)
- Video - Expanding Cubics and more Terms (7:32)
- Video - Cube Expansions (3:23)
- Topic - Expansion of Cubes: Linear Times Quadratic Expressions
- Topic - Expansion of Cubes: Cubes of Monic Linear Expressions involving Additions
- Topic - Expansion of Cubes: Cubes of Monic Linear Expressions involving Subtraction
- Topic - Expansion of Cubes: Cubes of Non-Monic Linear Expressions involving Additions
- Topic - Expansion of Cubes: Cubes of Non-Monic Linear Expressions involving Subtraction
Algebraic Substitution
- Video - Basic Substitution (11:17)
- Video - Algebraic Substitution (8:43)
- Video - Substitutions into Surds (4:24)
- Topic - Substitution to Additions and Subtractions
- Topic - Substitution to Additions and Subtractions involving Multiplications
- Topic - Substitution to Additions and Subtractions involving Divisions
- Topic - Substitution to Additions and Subtractions involving Squares
- Topic - Substitution to Additions and Subtractions involving Squares and Brackets
- Topic - Substitution to Additions and Subtractions involving Squares and Binomial Terms
- Topic - Substitution to Additions and Subtractions involving Cubes
Formula Substitution
- Video - Substitution into a Basic Formula (5:00)
- Video - Substitution into Exponents Involving Formulae (2:20)
- Video - Substitution into Rational Formulae (3:20)
- Video - Substitution into Irrational Formulae (2:55)
- Video - Equations Arising from Substitution (7:59)
- Video - Evaluating Formula using Substitutions (4:49)
- Topic - Formula Substitution of Linear Expressions
- Topic - Formula Substitution of Approximation Values
- Topic - Formula Substitution of Quadratic Expressions
- Topic - Evaluating Values using Formula Substitution of Linear Expressions
- Topic - Evaluating Values using Formula Substitution of Approximation Values
- Topic - Evaluating Values using Formula Substitution of Quadratic Expressions
Formula Rearrangement
- Video - Changing the Subject of a Formula (5:33)
- Video - Changing the Subject on Both Sides (3:16)
- Video - Changing the Subject involving Square Roots (2:53)
- Video - Changing the Subject Involving Squares (2:04)
- Video - Changing the Subject on Denominators (4:45)
- Video - Changing the Subject on Both Numerators and Denominators (2:15)
- Video - Rearrangement (6:55)
- Topic - Rearranging Linear Formulas Subject to x
- Topic - Rearranging Linear Formulas Subject to y
- Topic - Rearranging Formulas involving Squares Subject to x
- Topic - Rearranging Formulas involving Squares Subject to y
- Topic - Rearranging Formulas involving Square Roots
- Topic - Rearranging Formulas involving Multiple Variables
Basic Linear Equations
- Video - One Step Equations (3:26)
- Video - Two Step Equations (2:58)
- Video - Equations with Variables on Both Sides (2:47)
- Video - Basic Linear Equations (9:45)
- Video - Linear Equations (4:25)
- Topic - Linear Equations involving Subtractions
- Topic - Linear Equations involving Additions
- Topic - Linear Equations involving Multiplications
- Topic - Linear Equations involving Divisions
- Topic - Linear Equations involving Multiplications and Divisions
- Topic - Non-Monic Linear Equations
- Topic - Linear Equations involving Brackets
Linear Equations Involving Expansions
- Video - Equations with Brackets (3:21)
- Video - Equations With Pronumerals On Both Sides (7:51)
- Video - Equations With Grouping Symbols (10:28)
- Topic - Linear Equations involving Single Brackets
- Topic - Linear Equations involving Single Non-Monic Brackets
- Topic - Linear Equations involving Single Brackets and Extra Variables
- Topic - Linear Equations involving Multiple Brackets
- Topic - Linear Equations involving Multiple Non-Monic Brackets
- Topic - Linear Equations involving Squares
Linear Equations Involving Fractions
- Video - Equations With One Fraction (10:19)
- Video - Equations With More Than One Fractions (13:31)
- Video - Equations With Single Pronumerals In The Denominator (2:28)
- Video - Equations With Multiple Pronumerals In The Denominator (7:40)
- Video - Equations With Compound Pronumerals In The Denominator (3:01)
- Video - Equations With Compound Pronumerals In Both Denominators and Numerators (2:39)
- Video - Linear Equations with Fractions 1 (5:45)
- Video - Linear Equations with Fractions being Variables in Denominators (3:38)
- Topic - Linear Equations involving Single Fractions
- Topic - Linear Equations involving Single Non-Monic Fractions
- Topic - Linear Equations involving Two Fractions
- Topic - Linear Equations involving Variables in Both Numerators and Denominators
Problem Solving with Linear Equations
- Video - Applications of Equations (6:36)
- Video - Equations and Formulae (5:10)
- Video - Equations and Geometry (3:35)
- Video - Problem Solving with Linear Equations (8:44)
- Topic - Problem Solving involving Averages
- Topic - Problem Solving involving Arithmetic
- Topic - Problem Solving involving Sum
- Topic - Problem Solving involving Costs
- Topic - Problem Solving involving Geometry
- Topic - Problem Solving involving Age
- Topic - Problem Solving involving Speed
Linear Simultaneous Equations - Elimination Method
- Video - Elimination Method by Subtraction (8:06)
- Video - Elimination Method by Addition (3:25)
- Video - Elimination Method by Manipulating One Pronumeral (6:40)
- Video - Elimination Method by Manipulating Two Pronumerals (7:50)
- Video - Elimination Method (7:42)
- Video - Simultaneous Equations: Elimination Method (3:02)
- Topic - Elimination Method by Subtracting Equations
- Topic - Elimination Method by Adding Equations
- Topic - Elimination Method by Considering One Coefficient
- Topic - Elimination Method by Considering Two Coefficients
Linear Simultaneous Equations - Substitution Method
- Video - Equation Method (2:16)
- Video - Basic Substitution Method (6:43)
- Video - Preparation for Substitution Method (7:48)
- Video - Substitution Method (5:26)
- Video - Simultaneous Equations: Substitution Method (3:00)
- Topic - Basic Substitution Method
- Topic - Substitution Method by Non-Monic Equations
- Topic - Substitution Method by Equating Equations
- Topic - Substitution Method by Rearranging Equations
- Topic - Substitution Method by Rearranging Non-Monic Equations
Numerical Application of Linear Simultaneous Equations
- Video - Number Applications of Simultaneous Equations (9:52)
- Video - Cost Applications of Simultaneous Equations (5:04)
- Video - Measurement Applications of Simultaneous Equations (2:24)
- Video - Review Problem Solving of Simultaneous Equations (6:09)
- Video - Applications of Simultaneous Linear Equations: Geometric Figures (3:16)
- Video - Applications of Simultaneous Linear Equations: Costs (11:10)
- Video - Applications of Simultaneous Linear Equations: Multi-Digit Numbers (5:04)
Undefined or All Real Values of Simultaneous Equations
- Video - No Points of Intersection of Two Straight Lines (2:16)
- Video - Simultaneous Equations in No Solutions and Graphs (3:49)
- Video - Simultaneous Equations in Undefined Solutions (5:32)
- Video - Simultaneous Equations in All Real Value Solutions (2:22)
- Video - Simultaneous Equations: No Solutions (1:39)
- Video - Simultaneous Equations: All Real values (2:23)
- Video - Intersection of Quadratic Equations and Linear Equations: Undefined (3:02)
- Video - Intersections of Hyperbola and Linear Equations: Undefined (2:23)
Quadratic Equations in Square Form
- Video - Basic Quadratic Equations (3:05)
- Video - Basic Quadratic Equations in Approximated Solutions (2:30)
- Video - Quadratic Equations in Completing Square Form (4:38)
- Video - Quadratic Equations with Square Roots (4:53)
- Video - Quadratic Equations in Completing Square Form with Surds (6:45)
- Topic - Quadratic Equations in Square Form: Basic
- Topic - Quadratic Equations in Square Form: Non-Monic
- Topic - Quadratic Equations in Square Form: Non-Monic and Moving Terms
- Topic - Quadratic Equations in Square Form: No Solutions
- Topic - Quadratic Equations in Square Form: Zeroes
- Topic - Quadratic Equations in Square Form: Simplifying
- Topic - Quadratic Equations in Square Form: Non-Monic Simplifying
- Topic - Quadratic Equations in Square Form: Variables on Both Sides
- Topic - Quadratic Equations in Square Form: Completed Square Form
- Topic - Quadratic Equations in Square Form: Non-Monic Completed Square Form
- Topic - Quadratic Equations in Square Form: Zeroes in Completed Square Form
Arithmetic Sequences
- Video - Set up a Rule of Arithmetic Sequence (5:15)
- Topic - Verifying Arithmetic Sequences
- Topic - First Terms and Common Differences of Arithmetic Sequences
- Topic - Following Terms of Arithmetic Sequences
- Topic - Missing Terms of Arithmetic Sequences
- Topic - General Terms or Formulas of Arithmetic Sequences
- Topic - Checking Terms of Arithmetic Sequences
- Topic - Term Orders of Arithmetic Sequences
