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Algebra 1

Working with Numbers

Number Types (8:52)
Sets (8:03)
Venn Diagrams (10:19)
Working with Infinity (5:45)
Dividing by Zero (5:29)
Square-Rooting a Negative Number (7:06)
Practice Questions

Exponents and Radicals

Working with Exponents (6:31)
Exponent Rules (7:56)
Negative Powers and Powers of Zero (7:11)
Fractional Powers (11:00)
Surds (Radicals) (9:32)
Adding and Subtracting Radicals (7:59)
Multiplying and Dividing Radicals (9:45)
Rationalising Fractions (8:23)
Practice Questions

Algebraic Expressions

Variables (7:26)
Algebraic Formulae (5:59)
Using Algebraic Formulae (10:11)
Changing the Subject of a Formula (13:35)
Algebraic Expressions (10:39)
Simplifying Algebraic Expressions (5:50)
Working with Parentheses (8:58)
Factorising Using a Common Factor (7:53)
Practice Questions

Quadratic Expressions

Starting Quadratic Expressions (7:54)
Factorising a Quadratic Expression Using a Common Factor (6:14)
Factorising a Quadratic Expression as a Difference of Two Squares (8:53)
Factorising a Quadratic Expression as a Trinomial (11:30)
Completed Square Form (7:27)
Practice Questions

Algebraic Fractions

Simplifying Algebraic Fractions (10:52)
Multiplying & Dividing Algebraic Fractions (8:59)
Adding & Subtracting Algebraic Fractions (11:29)
Practice Questions

Equations and Inequations

Solving Linear Equations (13:29)
Solving Equations with Parentheses (10:09)
Solving Inequations (10:35)
Solving Inequations – Multiplying or Dividing by a Negative (11:35)
Starting Systems of Equations (9:23)
Solving by Elimination of a Variable (10:32)
Solving More Complex Systems of Equations (12:48)
Practice Questions

Sequences

Starting Sequences (6:47)
Sequences Rules (8:30)
Convergent and Divergent Sequences (10:07)
The Limit of a Sequence (15:14)
Arithmetic Sequences (Progressions) (9:46)
Geometric Sequences (Progressions) (12:55)
Practice Questions

Graphs

Cartesian Co-ordinate System (7:35)
Straight Lines in the X-Y Plane (5:14)
The Gradient (Slope) of a Straight-Line Graph (14:55)
The Equation of a Straight-Line Graph (15:28)
Finding the X and Y intercepts of a Straight-Line Graph (15:54)
Horizontal and Vertical Lines (8:16)
Sketching Straight-Line Graphs (12:44)
Writing the Equation of a Straight-Line from its Graph (12:06)
Practice Questions

Functions

Starting Mathematical Functions (9:20)
Types of Function (9:01)
Graphs of Functions (15:51)
Maximum and Minimum Values (10:17)
Domain and Range of a Function (9:54)
Average Rate of Change of a Function (10:40)
Practice Questions

Quadratic Functions

Starting Quadratic Functions (6:10)
The Graph of Quadratic Functions (9:25)
Solving Quadratic Equations by Factorising Trinomials (12:00)
Solving Quadratic Equations Using Completed Square Form (11:48)
Solving Quadratic Equations using the Quadratic Formula (12:04)
The Discriminant for Quadratic Equations (10:28)
Graphical Interpretation of Quadratic Equations (12:36)
The Roots of Graphs of Quadratic Functions (11:22)
The Turning Point of Graphs of Quadratic Functions (11:34)
The Y-Intercept of Graphs of Quadratic Functions (11:11)
The Axis of Symmetry of the Graph of a Quadratic Function (10:12)
Practice Questions

Additional Resources

Formula List

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Formula List

Formula list for the Algebra 1 course.

Algebra 1 Formula List.pdf

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