# Algebra 2

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Teacher: Shirly
Customers Who Have Viewed This Course: 2049
\$249.00
\$117.00

#### 1 Lesson 1: Notations 14:12

Different notations are used in different areas of life depending on the audience. This lesson reviews the inequality notation and word descriptions.  Then we explore the new interval notation and how to use it.

#### 1 Lesson 1: Notations Practice 19:20

Review of Practice

#### 2 Lesson 2: Properties of Graphs 26:36

Properties of Graphs

Review Practice

#### 4 Lesson 3: Polynomial Properties 25:04

Properties determined from the equations.

Review Practice

#### 6 Lesson 4: End Behavior 22:19

Explore the relationship between the function and infinity.

Review Practice

#### 8 Lesson 5: Part 1: Parent Functions 04:50

This lessons introduces the following nine parent functions that are studied in greater detail later in the course: linear, absolute value, quadratic, square root, cubic, cube root, rational, exponential, and log. We learn how to recognize the type of parent function from a description, an equation, or a graph. Each of the notes videos are about 5 minutes long. The examples and review of practice problems videos are over 10 minutes each. Watch all of the videos first and take the notes. Then work the practice problems for all parts are in this lesson.

#### 9 Lesson 5: Part 2: Quadratics 04:21

Introduction to the quadratic parent function.

#### 10 Lesson 5: Part 3: Square Root 04:29

Introduction to square root parent functions

#### 11 Lesson 5: Part 4: Absolute Value 04:56

Introduction to absolute value parent functions

#### 12 Lesson 5: Part 5: Cubic 05:00

Introduction to cubic parent functions

#### 13 Lesson 5: Part 6: Cube Roots 05:01

Introduction to cube root parent functions

#### 14 Lesson 5: Part 7: Rational 06:38

Introduction to rational parent functions

#### 15 Lesson 5: Part 8: Exponential 05:03

Introduction to exponential parent functions

#### 16 Lesson 5: Part 9: Logs 06:24

Introduction to Log parent functions

#### 17 Lesson 5: PF Examples 07:40

Examples based on notes from all parts

#### 18 Lesson 5: Parent Function Practice 12:25

Practice problems using knowledge from all parts. Documents are in Part 1 of lesson.

#### 19 Lesson 6: Transformations of Graphs 12:20

How changes in the parent function affect the graph and other properties. Notes & practice include work for parts 1 & 2.

Review Practice

#### 21 Lesson 7: Transformations with Equations 22:28

How changes in the equation affect the graph and other properties. All notes and practice are attached to part 1.

Review Practice

#### 23 Lesson 8: Scatterplots 14:18

Review of the relationship for collected data. and determining the type of function.

Review Practice

#### 25 Lesson 9: Finite Difference 16:09

Review of the relationship for collected data. and determining the type of function.

Review practice

#### 27 Lesson 10: Modeling Data 29:14

Finding the function that best fits the data to predict outcomes. TI-84 required.

Review Practice

#### 29 Lesson 11: Modeling Data Project 03:00

Short research activity applying modeling of data with real research.

#### 30 Lesson 12: Absolute Value Equations 23:01

For the few absolutes in life we write equations.

Review Practice

Review Practice

#### 33 Lesson 13: Compound Inequalities 13:04

In life things are not always equal.

Review Practice

#### 35 Lesson 14: Absolute Value Inequalities 15:19

Combining the absolute value function and inequalities give real world application.

Review Practice

#### 37 Lesson 14: Absolute Value Inequalities Practice 2 15:19

Review word problem practice

#### 38 Lesson 15: Absolute Value Inequalities Project 02:33

Short project designed to help students apply this knowledge to the real world.

#### 39 Lesson 16: Solving Systems by Graphing 22:42

Review how to graph linear equations and use to solve systems.

Review Practice

#### 41 Lesson 17: Solving Systems by Graphing Project 03:48

Brief project to apply knowledge to real world scenario.

#### 42 Lesson 18: Solving Systems of Inequalities 25:25

Review of graphing linear inequalities and using them to solve systems.

#### 43 Lesson 19: Solving Systems of Inequalities 20:44

Word problems = applications of the math.

Review practice

#### 45 Lesson 20: Solving Systems using Substitution 12:23

Review of solving 2x2 systems from algebra 1.

#### 46 Lesson 21: Solving Systems using Substitution 28:06

Using the substitution method to solve 3x3 systems.

Review practice

#### 48 Lesson 22: Solve Systems using Elimination 17:24

Review of solving 2x2 systems from algebra 1.

#### 49 Lesson 23: Solve Systems using Elimination 19:55

Using the Elimination method to solve 3x3 systems.

Review Practice

#### 51 Lesson 24: Properties of a Matrix 29:47

This is not about the movies! A matrix is another method for solving systems of equations.

Review Practice

#### 53 Lesson 25: Determinant & Inverse 20:19

In order to use a matrix to solve, we have to find the determinant and the inverse of a matrix.

Review Practice

#### 55 Lesson 26: Solving Systems using a Matrix 29:36

Finally the Solving! You need a TI-84 or TI-85 for this lesson. I will show how to solve by hand and by calculator.

Review Practice

#### 57 Lesson 26: Solving Systems using a Matrix Project 03:48

Food for thought activity from the bottom of the notes.

#### 58 Lesson 27: GCF 10:21

Review of Greatest Common Factor

Review Practice

Review Practice

Review Practice

#### 64 Lesson 30: Factor Higher Polynomials 17:33

Factoring polynomials with a degree greater than two.

Review Practice

#### 66 Lesson 31: Factor Perfect Cubes 11:58

There is a shortcut for perfect cubes! Here is the trick...

Review Practice

#### 68 Lesson 32: Quadratic Graph Properties 29:52

Explore finding the properties of a quadratic from graphs and real-world applications

Review Practice

#### 70 Lesson 33: Complex Numbers 21:55

Identify and use complex numbers and root

Review Practice

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#### 74 Lesson 35: Complete the Square 17:43

Solve quadratic equations using the complete the square method.

Review Practice

#### 76 Lesson 36: Quadratic Inequalities 22:52

Solve quadratic inequalities using a table or a graph.

Review Practice

#### 78 Lesson 37: Quadratic Forms 19:02

Change from one form of the quadratic to another to find key information.

Review Practice

#### 80 Lesson 38: Write a Quadratic Equation 14:14

Write a quadratic given different pieces of information.

Review Practice

#### 82 Lesson 39: Quadratic Project 02:42

Use the information from the Quadratic Lessons to fly to the moon...or at least throw a football on the moon.

#### 83 Lesson 40: Graphing Radicals 17:43

Graphing square root and cube root equations and inequalities.

#### 84 Lesson 40: Graphing Radicals Practice 27:29

Review Practice

Add and subtract square roots and cube roots

Review Practice

#### 87 Lesson 42: Multiply & Divide Radicals 14:14

Multiply, divide, and simplify square roots and cube roots

Review Practice

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#### 90 Lesson 43: Solve Radical Equations 14:53

Solve square root and cube root equations

Review Practice

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#### 94 Lesson 45: Radical Scenarios 11:53

Square root functions in the world

Review Practice

#### 96 Lesson 46: Radical Project 01:20

Application Project

Review Practice

#### 99 Lesson 48: Polynomial Multiplication 18:42

Multiplying polynomials of all shapes and sizes

Review practice

#### 101 Lesson 49: Pascal's Triangle 21:01

A shortcut method for multiplying binomials to a power.

Review Practice

#### 103 Lesson 50: Long Division 18:31

First method to dividing polynomials.

Review Practice

#### 105 Lesson 51: Synthetic Division 29:43

Shortcut division process and theorems that can be used instead of long division.

Review Practice

#### 107 Lesson 52: Polynomial Project 02:16

Use all of the polynomial lessons, including end behaviors and graphs from the beginning.

#### 108 Lesson 53: Variation 17:02

Direct, inverse and joint variation and how it describes real world relationships.

Review Practice

#### 110 Lesson 54: Add & Subtract Rational 28:56

Add & subtract rational expressions in order to simplify

Review Practice

#### 112 Lesson 55: Simplify Rationals 10:36

Simplify rational expressions

Review Practice

#### 114 Lesson 56: Multiply Rationals 14:22

Simplify & multiply rational expressions

Review Practice

#### 116 Lesson 57: Divide Rationals 17:14

Divide & simplify rational expressions

Review Practice

#### 118 Lesson 58: Solve Rational Equations 26:32

find the solution for the rational equations

Review Practice

#### 120 Lesson 59: Graphing Rational Parent Function 25:27

Identify key information and graph the parent function form of the rational equation.

Review Pratice

#### 122 Lesson 60: Graph Standard Rationals 29:57

Identify key information and graph the standard form of the rational equation.

Review Practice

#### 124 Lesson 61: Rational Scenarios 20:49

How are rational functions used in the real world?

Review Practice

#### 126 Lesson 62: Rational Project 01:55

Optional application project

#### 127 Lesson 63: Rational Exponents 16:08

How are exponents and radicals are the same thing?

Review Practice

#### 129 Lesson 64: Multiplying Exponents 17:44

What to do with exponents when multiplying?

Review Practice

#### 131 Lesson 65: Dividing Exponents 14:18

What to do with exponents when dividing?

Review Practice

#### 133 Lesson 66: Zero & Negative Exponents 17:55

Review of zero exponents. What to do with negative exponents?

Review Practice

#### 135 Lesson 67: Graphing Exponential Functions 13:04

How to transform the graphs of exponential functions using points.

Review Practice

#### 137 Lesson 68: Compound Interest 12:58

How can I make more money?

Review Practice

#### 139 Lesson 69: Growth & Decay 12:24

Exponential growth and decay in life.

Review Practice

#### 141 Lesson 70: Exponential Models 23:07

Using data to find answers and the exponential equations.

Review Practice

#### 143 Lesson 71: Exponential Projects 02:02

Investment project and medicine vs. bacteria project.

#### 144 Lesson 72: Introduction to Logs 22:22

Introduction to logarithm functions, converting logs to exponents, and solving very simple logs.

Review Practice

#### 146 Lesson 73: Expanding Logs 16:36

Expand and solve logs

Review Practice

#### 148 Lesson 74: Condense Logs 13:12

Condensing logs and solving

Review Practice

#### 150 Lesson 75: Change of Base 17:22

How to change the base of a log to use the preprogrammed calculator buttons.

Review Practice

#### 152 Lesson 76: Solving Log Equations 21:22

How to solve 3 different types of logarithm equations.

Review Practice

#### 154 Lesson 77: Graphing Log Functions 18:42

How to accurately graph log equations and inequalities.

Review Practice

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#### 158 Lesson 79: Log Scenarios Project 02:04

Research and apply what you have learned about logs.

#### 159 Lesson 80: Log Models 14:41

Modeling Log equations and inequalities

Review Practice

#### 161 Lesson 81: Composite Functions 20:23

A new notation for combining functions and simplifying functions.

Review Practice

#### 163 Lesson 82: Inverse Functions 24:38

Inverse is like opposite. Find the opposite of this function.

Review Practice

#### 165 Lesson 83: Piecewise Functions 28:20

Functions with domain restrictions and different pieces on the graph.

Review Practice

#### 167 Final Exams 00:00

The fall final exam includes the following units: Functions, Parent Functions, Modeling, Absolute Value, Systems, Matrices, Factoring, and Quadratics.

The spring final exam includes the following units: Radicals, Polynomials, Rationals, Exponents, Logs, and Non-parent functions.

Course Description:

In this course I guide the students step by step through applying the fundamental skills of mathematics to such topics as functions, equations and inequalities, radicals and rational expressions, logarithmic and exponential relationships, quadratic and polynomial equations, and matrices. The student will be introduced to key concepts and theories that provide a foundation for further study in mathematics (College Algebra, PreCalculus, Calculus, and beyond) and increases students’ mathematic literacy, problem solving, and critical thinking skills. Real world scenarios will be used to introduce and expand upon the topics discussed in each unit. Use of graphing calculators will be incorporated into many of the lessons.

Course Goals:

Upon completion of this course student will know how to recognize, graph, perform operations (add, subtract, multiply, divide), solve, and apply each parent function. Additionally students will be prepared for PreCalculus (or Geometry which is also a prerequisite for PreCal).

Target Audience:

This course is intended for students that have completed Algebra 1 and Math grades 6-8. Geometry is optional, but should be completed before taking Precalculus. Students will be using a TI-84 or TI-85 calculator as part of the lessons.

Course Includes:

52.6 Hours of Video (lessons and working of practice problems)

14 Units

83 Video Lessons

83 Exercise Review Videos (where I go over each exercise problem step by step)

73 Outlined notes, Practice Problems and Paper Quizzes (each lesson)

10 Project Lessons (no quizzes)

82 Short Tests (paper & electronic for each lesson)

82 Test Answer Keys (for parents)

2 Paper Final Exams

Parent resources for each lesson include pdf keys of notes, practice problems, paper quizzes and electronic quiz keys.

Working Sequence:

Step 1) Watch the explanatory video-lesson.

Step 2) Download the practice worksheets (Documents Section) and work on the activities.

Step 3) Watch the Exercise Review Video where I review each problem step-by-step.

Step 4) Take the online test for the lesson. The system will auto-correct. Answer key is provided under the Resources Section (only for parents)

Step 5) Once we finish the unit, we move on to the next unit. Be sure you understood the content and you worked on the activities before moving to another unit.

You can repeat steps 2 and 3 as many times as you like until you gain mastery of the topic. Each topic should take you 2 to 3 days on average to complete.

Course Topics:

Function Properties

Parent Functions

Modeling Fucntions

Absolute Value Functions

Systems of Functions

Matrices

Factoring

Polynomial Functions

Rational Functions

Exponential Functions

Log Functions

Non-Parent Functions

• Teacher: Shirly
• Areas of expertise: Aerospace Engineer: Algebra 1, 2, 3 and PreCalculus
• Education: Bachelor of Science from Texas A&M University
• Interests: Art, crafts, music, sewing, painting, cooking, and scrapbooking
• Skills: teaching, organizing, and innovation
• Associations: LDS
• Issues I care about: Having a high moral character.

My life is a journey. I enjoy the steps I make and see the world around me a little differently each time I learn something new. I spent 10 years in the Aerospace industry and worked on the International Space Station and the Apache helicopter programs. I have learned many things and want to share them with you.

#### Lesson 1: Notations Resources

Keys for Notes, Practice, and Quiz

#### Lesson 50 & 51: Polynomial Division

Long & Synthetic Division

#### Lesson 59 & 60: Graphing Rationals

Parent function & standard form keys

#### Final Exams

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\$249.00 \$117.00