Honors Algebra 2: Linear and Quadratic Functions

Honors Algebra 2: Linear and Quadratic Functions

本课程是 Honors Algebra 2 专项课程的一部分

位教师：Joseph W. Cutrone, PhD

顶尖授课教师

访问权限由 Coursera Learning Team 提供

3个模块

深入了解一个主题并学习基础知识。

初级等级

无需具备相关经验

1 周完成

在 10 小时一周

灵活的计划

自行安排学习进度

3个模块

深入了解一个主题并学习基础知识。

初级等级

无需具备相关经验

1 周完成

在 10 小时一周

灵活的计划

自行安排学习进度

您将获得的技能

要了解的详细信息

可分享的证书

添加到您的领英档案

作业

11 项作业

授课语言：英语（English）

了解顶级公司的员工如何掌握热门技能

了解关于 Coursera for Business 的更多信息

Petrobras, TATA, Danone, Capgemini, P&G 和 L'Oreal 的徽标

积累特定领域的专业知识

本课程是 Honors Algebra 2 专项课程专项课程的一部分

在注册此课程时，您还会同时注册此专项课程。

向行业专家学习新概念
获得对主题或工具的基础理解
通过实践项目培养工作相关技能
获得可共享的职业证书

该课程共有3个模块

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.

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.

涵盖的内容

5个视频6篇阅读材料4个作业

5个视频总计119分钟

Functions 28分钟
Analyzing Graphs of Functions 26分钟
Linear Functions 20分钟
Linear Modeling 22分钟
Systems of Linear Equations 23分钟

6篇阅读材料总计50分钟

Function Basics 5分钟
Transforming Graphs 10分钟
Forms of Linear Functions 5分钟
Modeling with Linear Functions 10分钟
Graphing Systems of Linear Equations 10分钟
Solving Systems of Equations Algebraically 10分钟

4个作业总计180分钟

Linear Functions and Equations 60分钟
Working with Functions 30分钟
Modeling with Linear Functions 45分钟
Systems of Linear Equations 45分钟

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.

涵盖的内容

2个视频4篇阅读材料4个作业

2个视频总计41分钟

Quadratic Functions 20分钟
Quadratic Modeling 21分钟

4篇阅读材料总计30分钟

Graphing Quadratics 5分钟
Forms of Quadratic Functions 5分钟
Focus and Directrix of a Parabola 10分钟
Quadratic Modeling 10分钟

4个作业总计150分钟

Quadratic Functions 60分钟
Vertex and Intercepts 30分钟
Focus and Directrix 30分钟
Modeling with Quadratic Functions 30分钟

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.