Video Lessons — ENERGIZED MATH

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TOPIC 1: ALGEBRA

1.1 Evaluating

1.2 Collecting Like Terms

1.3 Exponent Rules

1.4 Distributive Property

1.5 Multiplying Monomials

1.6 Expand and Simplify

1.7 Multiplying Binomials

TOPIC 2: SOLVING EQUATIONS

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

TOPIC 3: FACTORING

3.1 Common Factoring

3.2 Difference of Squares

3.3 Factoring Complex Trinomials

3.4 Factoring by Grouping

3.5 Factoring Simple Trinomials

TOPIC 4: QUADRATICS

4.1 Completing the square

4.2 Solving Quadratics by factoring

4.3 Graphing Quadratics

4.4 Quadratic Formula

4.5 Graphing from factored form

4.6 How to get an equation from the graph

TOPIC 5: TRIGONOMENTRY

5.1 Sine, Cosine and Tangent Ratios

5.2 The Cosine Law

5.3 Sine Law

5.4 Solving Trig Equations

5.5. Graphing Trig Functions - Part 1

5.6 Graphing Trig Functions - Part 2

5.7 Determining Exact Trig Values

5.8 Solving Trig Equations that are in Quadratic Form

TOPIC 6: GEOMETRY

6.1 Length of a Line Segment

6.2 Finding the Slope of a Line

6.3 Finding the Right Bisector

6.4 Finding the Altitude of a Triangle

6.5 Midpoint of a Line Segment

6.6 Graphing y =mx+b

6.7 Finding the Median of Triangle

TOPIC 7: EXPONENTS AND LOGARITHMS

7.1 Solving Exponential Equations

7.2 Solving Logarithm Equations

7.3 The Logarithm Rules

TOPIC 8: MEASUREMENT AND ANGLES

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

TOPIC 9: FUNCTION NOTATION

9.1 Functions and Relations

9.2 Function Notation

TOPIC 10: SEQUENCES AND SERIES

10.1 Arithmetic Sequences

10.2 Geometric Sequences

10.3 Series

10.4 Another Sequences Lesson

TOPIC 11: STATISTICS

11.1 Calculating the Mean (Average)

11.2 Pearson's Correlation Coefficient

11.3 Calculating the Range and IQR

11.4 Standard Deviation

11.5 Calculating the Mean, Median and Mode

11.6 Drawing a Box-Plot in Statistics

11.7 Introducing the Normal Curve

TOPIC 12: COUNTING TECHNIQUES AND PROBABILITY

12.1 Permutations, Factorials and Counting Principles (Part 1)

12.2 Permutations, Factorials and Counting Principles (Part 2)

12.3 Venn Diagrams

12.4 Probability Introduction

12.5 Probability using counting techniques

12.6 Permutations, Factorials and Counting Principles (part 3)

12.7 Pascal’s Triangle

12.8 Combinations

12.9 Difference between Odds and Probability

TOPIC 13: FRACTIONS, INTEGERS AND PERCENT

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

TOPIC 14: LONG DIVISION

14.1 Long Division

14.2 Using Long Division to divide polynomials

TOPIC 15: LINEAR RELATIONS

15.1 Linear vs Non-Linear

15.2 Direct vs Partial Variation

15.3 Determining the Slope

15.4 First Differences

15.5 Graphing y = mx+b

15.6 Determining the equation of a line when given 2 points

15.7 Finding the x and y intercepts

15.8 Determining the equation given the slope and y intercept

15.9 Parallel and Perpendicular Lines

15.10 Horizontal and Vertical Lines

15.11 Converting Ax + By + C into y=mx+b

15.12 Introduction to Linear Systems

15.13 Solving by Graphing

15.14 Introducing Substitution

15.15 How to solve by Substitution

15.16 Solving by Elimination

15.17 Linear System Word Problems (Part 1)

15.18 Linear System Word Problems (Part 2)

TOPIC 16: CALCULUS

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

TOPIC 17: INTEGRATION

17.1 The Anti-Derivative

17.2 Introduction to Integration

17.3 Rules of Integration

17.4 The Fundamental Theorem of Calculus

TOPIC 18: VECTORS

18.1 Difference between a Vector and a Scalar

18.2 Adding and Subtracting Vectors

18.3 Vectors in Component Form

18.4 Unit Vectors

18.5 Finding a Vector given two points

18.6 The dot product (aka the scalar product)

TOPIC 19: RATIONAL EXPRESSIONS

19.1 Finding Restrictions on Rational Expressions

19.2 Simplifying Rational Expressions

19.3 Multiplying and Dividing Rational Expressions

19.4 Adding and Subtracting Rational Expressions

TOPIC 20: MATRICES

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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