Welcome to my full-year Algebra 1 course…an experience like none other! I provide you with colorful, bright, vibrant energy in each flipchart video lesson and I don’t believe in boring my students with a dull, monotonous tone! I bring high energy and excitement to my lessons and you never know what to expect!
COURSE DESCRIPTION:
This is a full-year Algebra 1 course and it is the critical element in giving students a solid foundation for all future mathematics courses through their post-secondary education. The course can be aligned to most states' Common Core curriculum and is perfect for homeschool groups. The main objectives in this course are to increase the student’s mathematical literacy, analytical, critical thinking and problem-solving skills. Real-world application problems are integrated into the lessons to make the Algebra more meaningful.
COURSE INCLUDES:
- 45+ hours of engaging instructional video/homework explanation video (175+ videos!)
- 93 instructional video lessons
- 82 Homework answer videos where I solve each of the homework exercises
- 77 Note-taking guides; one for each lesson
- 77+ homework practice worksheets with video answer keys
- 77 Lesson Quizzes
- 77 Lesson Quiz Answer Keys
- 12 Lesson Check Lists
- 12 Online Chapter Module Tests scored by the Lernsys system
- 12 Answer keys to all Chapter Module Tests with detailed explanations
- Over 500 Practice Problems
- Vocabulary definitions and illustrations included
COURSE GOALS:
Upon completion of this course, students will be able to:
- understand and apply the fundamental properties of real numbers.
- solve one step, two step and multi-step equations and inequalities (including equations and inequalities with variables on both sides).
- solve compound and absolute-value inequalities.
- determine whether a relation is a function, write functions and graph functions.
- identify linear functions, use intercepts to graph linear equations.
- understand rates of change and slope.
- write and graph equations in slope-intercept form and point-slope form.
- solve systems of linear equations by graphing, elimination, and substitution.
- solve linear inequalities and systems of linear inequalities.
- simplify integer and rational exponents.
- add, subtract, multiply (FOIL method included) and divide polynomials.
- identify, graph and transform linear and quadratic functions.
- solve quadratic equations by graphing, factoring, using square roots, completing the square and by using the quadratic formula.
- determine the number of zeros of a quadratic equation by evaluating the discriminant.
- graph nonlinear systems of equations.
- determine if a sequence is arithmetic or geometric.
- graph exponential functions.
- solve exponential problems involving exponential growth and decay, half-life, and compound interest.
- understand the measures of central tendency.
- organize and display data in a stem-and-leaf plot, box-and-whisker plot, line plot, histogram, bar graph, circle graph and create frequency and cumulative frequency tables.
- understand Cd the probability and odds of independent and dependent events.
- understand the difference between calculating the experimental and theoretical probability.
- factor polynomials using the GCF (greatest common factor), AC Method, grouping, Trash Method and much more!
COURSE REQUIREMENTS
Prospective students for this course should have mastered the following concepts:
- order of operations
- real number properties (commutative, associative, distributive, transitive, reflexive, symmetric)
- like terms
- one step equations
- evaluating expressions
- graphing in the coordinate plane
- determining patterns and sequences
- solving basic inequalities
- operations with exponents and fractions
TARGET AUDIENCE
This Algebra 1 course is primarily intended for students who have successfully completed a Pre-Algebra course. This course is generally offered during grades 8 and 9.
COURSE MODULES AND LESSON TOPICS:
Module 1: Algebra Fundamentals
Lesson 1: Variables and Expressions
Lesson 2: Exponents and Powers
Lesson 3: Order of Operations
Lesson 4: Basic Equations and Inequalities
Module 2: Properties of Real Numbers
Lesson 1: Real Number Properties
Lesson 2: The Real Number Line
Lesson 3: Adding Real Numbers
Lesson 4: Subtracting Real Numbers
Lesson 5: Multiplying Real Numbers
Lesson 6: The Distributive Property
Lesson 6, Part 2: Like Terms
Lesson 7: Dividing Real Numbers
Module 3: Solving Linear Equations
Lesson 1: Solving Linear Equations Using Addition and Subtraction
Lesson 2: Solving Linear Equations Using Multiplication and Division
Lesson 3: Solving Multi-Step Linear Equations
Lesson 4: Solving Linear Equations With a Variable on Both Sides
Lesson 5: Solving for a Variable
Lesson 6: Solving Absolute-Value Equations
Lesson 7: Ratios, Rates and Proportions
Module 4: Inequalities
Lesson 1: Graphing and Writing Inequalities
Lesson 2: Solving Inequalities by Addition or Subtraction
Lesson 3: Solving Inequalities by Multiplication or Division
Lesson 4: Solving Multi-Step Inequalities
Lesson 5: Solving Inequalities With Variables on Both Sides
Lesson 6: Solving Compound Inequalities
Lesson 7: Solving Absolute-Value Inequalities
Module 5: Functions
Lesson 1: Functions and Relations
Lesson 2: Writing Functions
Lesson 3: Graphing Functions
Lesson 4: Trend Lines and Scatter Plots
Lesson 5: Arithmetic Sequences
Module 6: Linear Functions
Lesson 1: Identifying Linear Functions
Lesson 2: Intercepts
Lesson 3: Slope and Rate of Change
Lesson 4: The Slope Formula
Lesson 5: Direct Variation
Lesson 6: Slope-Intercept Form of a Linear Equation
Lesson 7: Point-Slope Form of a Linear Equation
Lesson 8: Slopes of Parallel and Perpendicular Lines
Lesson 9: Transforming Linear Functions
Module 7: Systems of Linear Equations and Linear Inequalities
Lesson 1: Solving Systems of Linear Equations by Graphing
Lesson 2: Solving Systems of Linear Equations by Substitution
Lesson 3: Solving Systems of Linear Equations by Elimination
Lesson 4: Solving Special Systems of Linear Equations
Lesson 5: Solving Linear Inequalities
Lesson 6: Solving Systems of Linear Inequalities
Module 8: Exponents and Polynomials
Lesson 1: Integer Exponents
Lesson 2: Rational (Fractional) Exponents
Lesson 3: Polynomials
Lesson 4: Adding and Subtracting Polynomials
Lesson 5: Multiplying Polynomials
Lesson 6: Special Products of Binomials featuring FOIL, Perfect-Square Trinomials, and Difference of Two Squares
Module 9: Factoring Polynomials
Lesson 1: Factors and Greatest Common Factors (GCF)
Lesson 2: Factoring by the Greatest Common Factor (GCF)
Lesson 3: Factoring Quadratic Trinomials in the form x^{2} + bx + c
Lesson 4: Factoring Quadratic Trinomials in the form ax^{2} + bx + c
Lesson 5: Factoring Special Products featuring Perfect-Square Trinomials and Difference of Two Squares
Lesson 6: Choosing a Factoring Method including Factoring by Grouping
Module 10: Quadratic Equations
Lesson 1: Identifying Quadratic Functions
Lesson 2: Characteristics of Quadratic Functions
Lesson 3: Graphing Quadratic Functions
Lesson 4: Transforming Quadratic Functions
Lesson 5: Solving Quadratic Equations by Graphing
Lesson 6: Solving Quadratic Equations by Factoring
Lesson 7: Solving Quadratic Equations by Using Square Roots
Lesson 8: Completing the Square
Lesson 9: The Quadratic Formula and The Discriminant
Lesson 10: Nonlinear Systems
Module 11: Exponential Functions
Lesson 1: Geometric Sequences
Lesson 2: Exponential Functions
Lesson 3: Exponential Growth and Decay
Module 12: Data Analysis and Probability
Lesson 1: Organizing and Displaying Data
Lesson 2: Frequency Tables and Histograms (including Stem-and-Leaf Plots)
Lesson 3: Data Distributions (including Box-and-Whisker Plots)
Lesson 4: Experimental Probability
Lesson 5: Theoretical Probability
Lesson 6: Independent and Dependent Events
COURSE ACADEMIC GOALS:
To enable students to:
- give maximum effort and develop a positive attitude toward the continued learning of mathematics.
- appreciate the beauty of how mathematics is used in other professions and in everyday life.
- gain knowledge and develop understanding of mathematical concepts.
- develop mathematical skills and apply them to develop patience and persistence when solving problems.
- keep work and notes organized.
- successfully complete the course with confidence and be fully equipped for future math courses.
STEPS TO SUCCESS IN THIS ALGEBRA 1 COURSE:
1) Purchase a 2-inch, 3-ringed binder (or thicker), a 3-hole punch and a minimum of 12 dividers (to separate Modules).
2) Print out the module checklists and note-taking guides and insert them into the binder. The best way to stay organized is to have 12 main dividers for the module numbers and keep everything within the module in chronological order.
3) View the video-lesson, making sure to pause and take notes as you watch.
4) Download the homework practice worksheets and do the homework.
5) Check your homework by clicking on the link to the homework video answers. I review each worksheet answer step by step so you can easily follow along and understand when and why an error was made in case you get an answer wrong.
6) Take the lesson quiz linked to the HW answer video in the “Test” tab. The Lernsys system will automatically grade the quiz. For a detailed explanation for the problems missed (if any), have parent/guardian go the “Resources” tab for the worked out solutions.
7) Once you finish the Module, go to the “Resources” tab and print out a hard copy of the Chapter Test. Input your answers into the Lernsys system under the “Test” tab for it to be scored. For a detailed explanation for the problems missed (if any), have parent/guardian go the “Resources” tab for the worked out solutions.
8) Be sure you understood all of the content and you completed all activities before moving to the next Module.
9) Repeat steps 1-8 for each Module until you complete all 12 modules.
NOTE: Re-watch the videos as many times as needed to master the topics.