Lessons
Words used in Mathematics
- Video - From Words to Algebraic Expressions (9:07)
- Video - From Algebraic Expressions to Words (1:56)
- Video - Arithmetic Sums and Differences (4:45)
- Video - Arithmetic Products and Quotients (2:17)
- Video - Sum, Difference, Product and Quotient (5:35)
- Video - Variables in Algebraic Expressions (6:34)
- Video - Expanded Form of Algebraic Expressions (3:11)
- Video - Collecting Variables of Algebraic Expressions (4:07)
- Video - Multiplying Terms of Algebraic Expressions (5:37)
- Video - Dividing Terms of Algebraic Expressions (8:00)
- Topic - Language of Mathematics
- Topic - Symbols used in Mathematics
- Topic - Language of Mathematics: Sum
- Topic - Language of Mathematics: Difference
- Topic - Language of Mathematics: Product
- Topic - Language of Mathematics: Quotient
Writing and Finding Formulas
- Topic - Using Rules: Subtraction
- Topic - Using Rules: Addition
- Topic - Using Rules: Multiplication
- Topic - Using Rules: Division
- Topic - Using Rules: Multiply and Add
- Topic - Using Rules: Multiply and Subtract
- Topic - Using Rules: Add and Multiply
- Topic - Using Rules: Multiply Itself
- Topic - Using Rules: Missing Numbers involving Multiply and Add
- Topic - Using Rules: Missing Numbers involving Multiply and Subtract
- Topic - Using Rules: Missing Numbers involving Subtract and Divide
Using Rules
- Topic - Rewriting Formula Leaving Out Multiplication Signs
- Topic - Writing Formulas: Addition
- Topic - Writing Formulas: Subtraction
- Topic - Writing Formulas: Mixed Addition
- Topic - Writing Formulas: Mixed Subtraction
- Topic - Writing Formulas: Positive Coefficients and Addition
- Topic - Writing Formulas: Positive Coefficients and Subtraction
- Topic - Writing Formulas: Negative Coefficients and Addition
- Topic - Writing Formulas: Negative Coefficients and Subtraction
- Topic - Writing Formulas: Positive Coefficients
- Topic - Writing Formulas: Negative Coefficients
Algebraic Substitution
- Video - Basic Substitution (11:17)
- Video - Algebraic Substitution (4:20)
- Video - Algebraic Substitution involving Indices (4:20)
- Video - Substitutions into Surds (4:24)
- Topic - Substitution to Additions & Subtractions
- Topic - Substitution to Additions & Subtractions involving Multiplications
- Topic - Substitution to Additions & Subtractions involving Divisions
- Topic - Substitution to Additions & Subtractions involving Squares
- Topic - Substitution to Additions & Subtractions involving Squares & Brackets
- Topic - Substitution to Additions & Subtractions involving Squares & Binomial Terms
- Topic - Substitution to Additions & Subtractions involving Cubes
- Topic - Substitution to Mixed Expressions
- Topic - Substitution to Square Roots
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 1 (4:19)
- Video - Equations Arising from Substitution 2 (3:39)
- 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 (4:28)
- 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 & Denominators (6:02)
- 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
Like Terms
- Video - Definition of Like Terms (8:05)
- Video - Understanding Like Terms (4:13)
- Video - Simplifying Like Terms (5:17)
- Topic - Select Like Terms: Simple
- Topic - Select Like Terms: Complex
- Topic - Simplify Like Terms 1
- Topic - Simplify Like Terms 2
- Topic - Simplify Like Terms 3
- Topic - Simplify Like Terms 4
- Topic - Identifying Like Terms
- Topic - Simplifying Single Like Terms
- Topic - Simplifying Multiple Like Terms
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 & Simplify: Coefficients Times Linear Binomial Terms
- Topic - Expand & Simplify: Variables Times Linear Binomial Terms
- Topic - Expand & Simplify: Coefficient Times Trinomials
- Topic - Expand & Simplify: Variables Times Trinomials
- Topic - Expand & Simplify: Quadratic Times Linear Binomial Terms
- Topic - Expand & Simplify: Multiple Single Brackets
- Topic - Expand & Simplify: Multiple Single Brackets with Variables
- Topic - Expand & Simplify Linear Expressions
Doing the Same to Both Sides
- Topic - Doing the Same to Both Sides
- Topic - Solving Monic Equations
- Topic - Solving Plus Plus Equations
- Topic - Solving Plus Minus Equations
- Topic - Solving Minus Plus Equations
- Topic - Solving Minus Minus Equations
- Topic - Solving Equations involving Brackets
- Topic - Solving Equations involving Like Terms
Solving Equations using Backtracking
- Topic - Solving Equations using Backtracking
- Topic - Solving Equations using Backtracking: Fractions 1
- Topic - Solving Equations using Backtracking: Fractions 2
- Topic - Solving Equations using Backtracking: Fractions 3
- Topic - Solving Equations using Backtracking: Fractions 4
- Topic - Solving Equations using Backtracking: Fractions 5
- Topic - Solving Equations using Backtracking: Fractions 6
- Topic - Solving Equations using Backtracking: Fractions 7
- Topic - Solving Equations using Backtracking: Fractions 8
Equations with the Pronumeral on Both Sides
- Topic - Monic Equations 1
- Topic - Monic Equations 2
- Topic - Positive Positive Equations 1
- Topic - Positive Positive Equations 2
- Topic - Positive Negative Equations 1
- Topic - Positive Negative Equations 2
- Topic - Negative Positive Equations 1
- Topic - Negative Positive Equations 2
- Topic - Negative Negative Equations 1
- Topic - Negative Negative Equations 2
- Topic - Monic Equations involving Brackets 1
- Topic - Monic Equations involving Brackets 2
- Topic - Non-Monic Equations involving Brackets 1
- Topic - Non-Monic Equations involving Brackets 2
- Topic - Equations involving Brackets in Both Sides 1
- Topic - Equations involving Brackets in Both Sides 2
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 1 (2:52)
- Video - Basic Linear Equations 2 (3:46)
- Video - Basic Linear Equations 3 (2:46)
- 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 & Divisions
- Topic - Non-Monic Linear Equations
- Topic - Linear Equations involving Brackets
- Check - One Step Equations
Linear Equations Involving Expansions
- Video - Equations with Brackets (3:21)
- Video - Equations with Pronumerals on Both Sides 1 (3:19)
- Video - Equations with Pronumerals on Both Sides 2 (4:29)
- Video - Equations with Grouping Symbols 1 (5:51)
- Video - Equations with Grouping Symbols 2 (4:37)
- Topic - Linear Equations involving Single Brackets
- Topic - Linear Equations involving Single Non-Monic Brackets
- Topic - Linear Equations involving Single Brackets & 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 - Solving Equations involving Fractions (4:47)
- Video - Equations with One Fraction 1 (5:18)
- Video - Equations with One Fraction 2 (5:01)
- Video - Equations with Multiple Fractions 1 (6:31)
- Video - Equations with Multiple Fractions 2 (6:59)
- 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 2 (4:01)
- Video - Linear Equations with Fractions: Variables in Denominators (3:37)
- Video - Linear Equations with Fractions: Variables in Numerators & Denominators (2:20)
- Video - Linear Inequalities involving Fractions (4:35)
- 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 & 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: Numbers (8:44)
- Video - Problem Solving with Linear Equations: Ages (3:17)
- Video - Problem Solving with Linear Equations: Coins (2:47)
- 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
