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Honors Algebra 2: Linear and Quadratic Functions

Honors Algebra 2: Linear and Quadratic Functions

This course is part of Honors Algebra 2 Specialization

Instructor: Joseph W. Cutrone, PhD

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3 modules

Gain insight into a topic and learn the fundamentals.

Beginner level

No prior experience required

1 week to complete

at 10 hours a week

Flexible schedule

Learn at your own pace

3 modules

Gain insight into a topic and learn the fundamentals.

Beginner level

No prior experience required

1 week to complete

at 10 hours a week

Flexible schedule

Learn at your own pace

Skills you'll gain

Details to know

Shareable certificate

Add to your LinkedIn profile

Assessments

11 assignments

Taught in English

91% of learners achieved a positive career outcome

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This course is part of the Honors Algebra 2 Specialization

When you enroll in this course, you'll also be enrolled in this Specialization.

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Gain a foundational understanding of a subject or tool
Develop job-relevant skills with hands-on projects
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There are 3 modules in this course

Honors Algebra 2: Linear and Quadratic Equations is the first course of a high-level algebra course designed to deepen your mathematical thinking and prepare you for advanced study in math, science, and engineering. Whether you're a high school student looking to accelerate your progress or an adult learner brushing up on foundational skills, this course offers a rich, engaging experience aligned with the Common Core State Standards.

You'll explore the essential building blocks of algebra: linear functions, quadratic functions, and systems of equations. Through interactive lessons and real-world applications, you'll develop a deep understanding of how equations model the world around us—from predicting trends to describing physical phenomena. Along the way, you'll strengthen your skills in graphing, solving equations, and interpreting mathematical relationships, with an emphasis on conceptual understanding and mathematical reasoning. Designed with a university-level rigor but paced for online learners, this course invites you to go beyond memorization and truly engage with the power and elegance of algebra.

Module details

Throughout this specialization, we will use functions to help visualize, analyze, and interpret the relationships between variables. In this module, we will start by exploring linear functions. A linear relationship between two variables occurs when changes in one variable correspond to proportional changes in the other. Many physical situations can be modeled using linear functions. We will see examples of how to create and interpret linear functions in the sections that follow.

What's included

5 videos6 readings4 assignments

5 videosTotal 119 minutes

Functions28 minutes
Analyzing Graphs of Functions26 minutes
Linear Functions20 minutes
Linear Modeling22 minutes
Systems of Linear Equations23 minutes

6 readingsTotal 50 minutes

Function Basics5 minutes
Transforming Graphs10 minutes
Forms of Linear Functions5 minutes
Modeling with Linear Functions10 minutes
Graphing Systems of Linear Equations10 minutes
Solving Systems of Equations Algebraically10 minutes

4 assignmentsTotal 180 minutes

Linear Functions and Equations60 minutes
Working with Functions30 minutes
Modeling with Linear Functions45 minutes
Systems of Linear Equations45 minutes

We will now add to our library of functions by exploring quadratic functions. Adding an extra term with x-squared to a linear function creates a quadratic function. The graphs of these functions are parabolas, which can be used to model things like the path of a projectile or the curved surface of a satellite dish. In this module, we will examine the key parts of the graphs of quadratic functions, and explore strategies to fit quadratic functions to real-world data.

What's included

2 videos4 readings4 assignments

2 videosTotal 41 minutes

Quadratic Functions20 minutes
Quadratic Modeling21 minutes

4 readingsTotal 30 minutes

Graphing Quadratics5 minutes
Forms of Quadratic Functions5 minutes
Focus and Directrix of a Parabola10 minutes
Quadratic Modeling10 minutes

4 assignmentsTotal 150 minutes

Quadratic Functions60 minutes
Vertex and Intercepts30 minutes
Focus and Directrix30 minutes
Modeling with Quadratic Functions30 minutes

We will wrap up our first course by combining our previous knowledge of systems of equations and inequalities with quadratic functions. Adding squared terms to systems of equations and inequalities, we can describe more elaborate regions in the plane. This allows us to model a wider range of scenarios.