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Algebra 1 (Glencoe), Part One

Learn how to master the skills of Algebra I and polish your logic, critical thinking, and mathematical reasoning – and start high school math with confidence.

Total classes: 14

Prerequisite: Pre-Algebra

Suggested grade level: 9th grade

Suggested credit: One full semester of Math or Algebra I


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.


Week One: Variables and Expression, Order of Operations. Open Sentences, Identity and Equality Properties, The Distributive Property

Week Two: Commutative and Associative Property, Logical Reasoning and Counterexamples, Number Systems, Functions and Graphs

Week Three: Writing Equations, Solving Equations by Using Addition/Subtraction/Multiplication/Division

Week Four: Solving Multi-Step Equations, Solving Equations with the Variable on Each Side

Week Five: Ratios and Proportions, Percent of Change, Solving for a Specific Variable

Week Six: Representing Relations, Representing Functions, Linear Functions

Week Seven: Arithmetic Sequences, Proportional and Nonproportional Relationships

Week Eight: Rate of Change and Slope, Slope and Direct Variation

Week Nine: Graphing Equations in Slope-Intercept Form, Writing Equations in Point-Slope Form, Parallel and Perpendicular Lines

Week Ten: Graphing Systems of Equations, Substitution

Week Eleven: Elimination Using Addition and Subtraction, Elimination Using Multiplication, Applying Systems of Linear Equations

Week Twelve: Solving Inequalities by Addition/Subtraction/Multiplication and Division, Solving Multistep Inequalities

Week Thirteen: Solving Compound Inequalities, Solving Open Sentences Involving Absolute Value

Week Fourteen: Graphing Inequalities in Two Variables, Graphing Systems of Inequalities

Materials and Homework

Course Materials: Glencoe Algebra 1, ISBN-13: 978-0078651137 / ISBN-10: 0078651131 (https://amzn.to/3qd1qau)

Homework: There will be 2-4 lessons per week with 10-20 homework problems per lesson, 1 short quiz per week, and approximately one chapter test every other week. 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.

Important Dates

Class Dates: Mondays, September 9 to December 16, 2024 (No class Oct. 28)

Starting Time: 2:30 PM Eastern (1:30 Central; 12:30 Mountain; 11:30 Pacific)

Duration: 55 minutes

Choose from courses in all subject areas for your upper grade school, middle school, and high school student—taught by worldwide experts in Catholic education.
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