This course is available in both the Fall and Spring semesters.
Grades: 9, 10, 11, 12
Successful completion of Math 7 and/or Pre-Algebra
This course is the first of two that comprise Algebra 1. In this course, the student will gain a foundational understanding of the real number system, expressions, equations, and inequalities. The student will be taught to solve simple and multi-step equations and inequalities and represent those solutions graphically. In addition, students will explore linear or nonlinear functions and represent those functions on the coordinate plane. Finally, the student will solve systems of equations and inequalities and represent those solutions graphically.
Throughout the course, problem solving, critical thinking, and real-world application of mathematical concepts will be required.
Foundations for Algebra
In this unit, you will be provided with a general introduction to Algebra 1 by reviewing many concepts from previous math courses including variables, expressions, and real-number operations. This unit provides you with a solid foundation for the remainder of Algebra 1. You will complete a unit portfolio project in which you will apply your knowledge of using variables to represent unknown and variable quantities, and writing expressions and equations.
In this unit, you will learn how to solve problems using a variety of problem-solving strategies including tables, graphs, and equations. This unit also includes instruction on solving one, two, or multi-step equations, a skill that is essential to your learning of higher-level mathematics. You will complete a variety of assessments in this unit, including Quick Checks, quizzes, and a unit test.
In this unit, you will learn how to solve inequalities that require one or more steps. You will also learn how to graph the solutions to inequalities on the number line. Set notation will be introduced as a tool for expressing the solutions to inequalities. Finally, you will explore absolute value equations and inequalities and the union and intersection of sets.
Introduction to Functions
In this unit, you will explore functions and their applications. You will be introduced to the characteristics of a function and learn to compare linear and nonlinear functions. You will also graph functions on the coordinate plane and write functions given their graph. Functions are an important part of algebra because they lay a foundation for understanding higher-level mathematics problems that depend on your understanding of the characteristics of functions.
In this unit, you will learn how to use several types of linear equations, including slope-intercept, point-slope, and standard forms. You will use slope to compare parallel and perpendicular lines and explore relationships between these types of lines. You will also graph and translate absolute value functions on the coordinate plane.
Systems of Equations and Inequalities
In this unit, you will apply what you know about linear equations and inequalities to systems of linear equations or inequalities. You will solve systems of linear equations by graphing, substitution, or elimination. You will also be introduced to the topic of matrices and use them to solve systems of equations. You will graph linear inequalities and solve systems of two linear equalities. Finally, you will apply these topics to solve real-world scenarios.
Algebra 1 A Semester Exam
In this unit, you will have the opportunity to prepare for and take the semester exam. Since this is a comprehensive exam, it may be helpful to organize your notes in the order of the course outline before you begin to review. Using the test-taking strategies that you have previously learned can help you be successful with both objective and essay questions.
- iText Algebra 1: On Level