This is our catalog of courses. We will occasionally adjust the course listing to reflect the addition of new courses and the retirement of others.
Algebra 1 is a key course which sets the foundation for all future mathematics. In this course, you will learn to think more abstractly and analytically. You will write, solve, and graph linear and quadratic equations. You will learn to solve quadratic equations through factoring, completing the square, graphing, or applying the quadratic formula. This course will also study monomial and polynomial expressions, inequalities, exponents, functions, rational expressions, ratios, and proportions. Algebraic skills will be applied in a wide variety of problem-solving situations.
Total classes: 14 live classes + 5-7 recorded video lessons
Prerequisite: Pre-Algebra
Suggested grade level: 9th
Suggested credit: One full semester Math or Algebra I
Description
Algebra 1 is a key course which sets the foundation for all future mathematics. In this course, you will learn to think more abstractly and analytically. You will write, solve, and graph linear and quadratic equations. You will learn to solve quadratic equations through factoring, completing the square, graphing, or applying the quadratic formula. This course will also study monomial and polynomial expressions, inequalities, exponents, functions, rational expressions, ratios, and proportions. Algebraic skills will be applied in a wide variety of problem-solving situations.
Outline
Class One:
Variables and Expression
Order of Operations
Open Sentences
Identity and Equality Properties
The Distributive Property
Class Two:
Commutative and Associative Property
Logical Reasoning and Counterexamples
Number Systems
Functions and Graphs
Class Three:
Rational Numbers on the Number Line
Adding and Subtracting Rational Numbers
Multiplying Rational Numbers
Dividing Rational Numbers
Square Roots and Real Numbers
Class Four:
Writing Equations
Solving Equations by Using Addition/Subtraction
Solving Equations by Using Multiplication/Division
Solving Multi-Step Equations
Class Five:
Solving Equations with the Variable on Each Side
Ratios and Proportions
Percent of Change
Solving Equations and Formulas
Class Six:
The Coordinate Plane
Transformations on the Coordinate Plane
Relations
Equations as Relations
Class Seven:
Graphing Linear Equations
Functions
Arithmetic Sequences
Class Eight:
Slope
Slope and Direct Variation
Slope-Intercept Form
Class Nine:
Writing Equations in Slope-Intercept Form
Writing Equations in Point-Slope Form
Geometry: Parallel and Perpendicular Lines
Statistics: Scatter Plots and Lines of Fit
Class Ten:
Solving Inequalities by Addition and Subtraction
Solving Inequalities by Multiplication and Division
Solving Multi-Step Inequalities
Class Eleven:
Solving Compound Inequalities
Solving Open Sentences Involving Absolute Value
Graphing Inequalities in Two Variables
Class Twelve:
Graphing Systems of Equations
Substitution
Class Thirteen:
Elimination Using Addition and Subtraction
Elimination Using Multiplication
Class Fourteen:
Graphing Systems of Inequalities
Review
Materials and Homework
Course Materials: Glencoe Algebra 1 (ISBN-13: 978-0078651137 / ISBN-10: 0078651131)
Homework: There will be 2-4 lessons per class with 10-20 homework problems per lesson, 1 short quiz per class, and approximately one chapter test every other class. Expect about an hour each week outside of the classroom. Each lesson’s homework assignment should take about 20 minutes. Homework assignments should not all be done at the same time but should be spread out over several days.
