Algebra Examples

Simplifying Square Roots Expand and Simplify 1 Expand and Simplify 2 Expand and Simplify 3 Simplifying Square Roots 2

Expand and Simplify 4 Simplifying Square Roots 3 Exponent Rules Expand and Simplify 5 Exponent Rules 2 Distributive Property

Reducing a Square Root Exponent Rules 3 Binomial Squared Working with Square Roots FOIL Basic Exponent Rules Simplification

Negative Exponents Binomial Expansion

TOPIC 2: SOLVING EQUATIONS LESSONS

2.1 Solving 1 Step Equations

2.2 Solving 2 Step Equations

2.3 Solving Equations with variables on both sides

2.4 Solving Equations that have Fractions

2.5 Rearranging Formulas

Equations Examples

Solving Equation 1 Absolute Value Equations Inequality Equations Cross Multiplication Fraction Equation Solving Equation 2

Exponential Equation Fraction Equation 2 Fraction Equation 3 Variables on both sides Fraction Equation 4 Solving Quadratic Equation

Cross Multiplication 2 Solving Quadratics by factoring Inequality Equations 2 Variables on both sides 2 Using Angles Using Angles 2

Multi-step Equation

TOPIC 3: FACTORING LESSONS

Factoring Examples

Difference of Squares Complex Trinomial Common Factoring More than one type of factoring Factoring by Grouping

TOPIC 4: QUADRATICS LESSONS

Quadratic Examples

Solving quadratic by factoring Solve by factoring 2 Solve by factoring 3 Solve by factoring 4 Solve by factoring 5 Finding the Vertex

Number of Roots Solve by factoring 6 Solve by factoring 7 Solve by factoring 8 Solve by factoring 9 Solving by factoring 10

Quadratic Formula Quadratic Formula 2 Completing the Square

TOPIC 5: TRIGONOMENTRY LESSONS

Trigonometry Examples

Area of a Triangle (using Sine) Proving a Trig Identity SOH-CAH-TOA Finding Exact Value Trig Identity 2 Trig Equation 1

Exact Value 2 Sine Ratio Cosine Ratio

TOPIC 6: GEOMETRY LESSONS

TOPIC 7: EXPONENT AND LOGARITHM LESSONS

Exponents and Logarithms Examples

Solving Exponential Equations 1 Solving Exponential Equations 2 Solving Exponential Equations 3 Solving Exponential Equations 4

Logarithmic Equation 1 Logarithm Rules 1 Logarithm Rules 2 Factoring using Exponent Rules Expanding using Exponent Rules

Natural Log Equation Logarithm Rules 3 Logarithm Rules 4 Exponent Rules Logarithm Rules 5 Solving Exponential Equation 5

Logarithmic Equation 2 Exponent Rules 2 Exponential Equation 5 Expanding using Exponent Rules 2 Logarithm Rules 6

Logarithmic Equation 3 Logarithmic Equation 4 Logarithmic Equation 5 Natural Log Equation 2 Logarithmic Equation 6

TOPIC 8: MEASUREMENT AND ANGLES LESSONS

8.1 The Pythagorean Theorem

8.2 Supplementary and Complementary Angles

8.3 Angle theorems

8.4 Angle Properties of Triangles

8.5 Angle Properties of Polygons

8.6 Perimeter and Area of common shapes

8.7 Area and Circumference of Circles

8.8 Surface Area and Volume of 3D shapes

Measurement Examples

Pythagorean Theorem Angles of a Triangle Angle Theorems

TOPIC 9: FUNCTION NOTATION LESSONS

TOPIC 10: SEQUENCES AND SERIES LESSONS

Sequences and Series Examples

Find the Sum

TOPIC 11: STATISTICS LESSONS

Statistics Examples

Finding unknown values Find unknown value 2

TOPIC 12: COUNTING TECHNIQUES AND PROBABILITY LESSONS

Counting and Probability Examples

Binomial Probability Flipping a coin Dependent Probability Probability from Odds Combinations Permutations 1 Permutations 2

Factorials Factorials 2 Factorials 3 Permutations 3 Factorials 4 Factorials 5 Factorials Intro

TOPIC 13: FRACTIONS, INTEGERS AND PERCENT LESSONS

13.1 Converting between decimals, fractions and percent

13.2 Adding and Subtracting Fractions

13.3 Reducing Fractions into lower terms

13.4 Multiplying Fractions

13.5 Dividing Fractions

13.6 Adding and Subtracting Integers

13.7 Multiplying and Dividing Integers

13.8 Working with Percent

Numeracy Examples

Multiplying and Dividing Fractions Dividing Fractions Adding Fractions Percent of a number Percent of a number 2 BEDMAS

Multiplying and Dividing Fractions 2 Common Calculator Error Percent of a number 3 Working with Square Roots

TOPIC 14: LONG DIVISION LESSONS

14.1 Long Division

14.2 Using Long Division to divide polynomials

Long Division Examples

Long Division Long Division 2

TOPIC 15: LINEAR RELATIONS LESSONS

Linear Shorts Examples

Find the Slope Find the Slope 2

TOPIC 16: CALCULUS LESSONS

16.1 Evaluating Limits

16.2 Introduction to Calculus as well as First Principles

16.3 Simple Differentiation

16.4 Chain Rule

16.5 Product Rule

16.6 Quotient Rule

16.7 Derivative of y=e^x

16.8 Derivative of y=lnx

16.9 Derivative of trig functions

16.10 Classifying Stationary Points

16.11 The second derivative

16.12 Shapes of Curves (Concavity)

16.13 Equations of Tangents and Normals

Calculus Shorts Examples

Chain Rule Finding Slope Derivative 1 Derivative 2 Product Rule Chain Rule 2 Product Rule Chain Rule 3

Rational Expression Examples

Subtracting Rationals Dividing Rationals Multiplying Rationals

TOPIC 20: MATRICES LESSONS

20.1 Naming Matrices according to size

20.2 Adding and Subtracting Matrices

20.3 Multiplying a Matrix by a constant value

20.4 Multiplying Two Matrices together

20.5 The Identity Matrix

20.6 Gauss Jordan Elimination

TOPIC 21: GRAPHING CALCULATOR INSTRUCTIONS (TI-84 AND TI-83)

21.1 Finding Point of Intersection

21.2 Finding x-intercepts

21.3 1-Variable Statistics (part 1)

21.4 1-Variable Statistics (part 2)

21.5 2-Variable Statistics

21.6 Linear Regression and Pearsons Correlation Coeffiecient

21.7 Solving crazy hard equations using Graphing Calculator

21.8 Finding Permutations, Combinations, and Factorals

21.9 Binomial Probability

21.10 Normal Probability

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TOPIC 1: ALGEBRA LESSONS