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Honors Algebra 2: Algebraic, Exponential & Log Functions

Honors Algebra 2: Algebraic, Exponential & Log 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

包含在中

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4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

2 周完成

在 10 小时一周

灵活的计划

自行安排学习进度

4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

2 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

16 项作业

授课语言：英语（English）

91% of learners achieved a positive career outcome

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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。

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该课程共有4个模块

This is the third course in the Honors Algebra 2 sequence. By the end of this course, students will be able to analyze, interpret, and apply advanced families of functions, including exponential, logarithmic, radical, and inverse functions. Learners will develop fluency in evaluating and graphing these functions, solving equations that involve them, and applying their properties to real-world models and predictions. Along the way, students will deepen their understanding of how different function types connect, building a stronger algebraic foundation for future courses in precalculus, calculus, and beyond.

This course is designed not only to strengthen core problem-solving skills but also to highlight the power of mathematics as a tool for describing patterns and solving practical problems. What makes this course unique is its balance between theory and application: students gain a clear understanding of the underlying algebraic rules while also engaging with meaningful contexts such as growth and decay, investment modeling, and data analysis. By completing this course, learners will be prepared to tackle higher-level mathematics with confidence and insight.

单元详情

In earlier courses, you studied polynomials—functions built from whole-number powers of variables. In this module, we expand that perspective to functions with fractional powers, which represent nth roots and can also be written as radical expressions. Our focus will be on building a strong foundation in evaluating radical functions, graphing their behavior, and solving equations that involve them.

涵盖的内容

1个视频4篇阅读材料4个作业

1个视频总计18分钟

Square Roots and Other Roots18分钟

4篇阅读材料总计35分钟

The nth Root of a Number5分钟
Operations with Roots10分钟
Radical Functions and Graphs10分钟
Radical Equations and Inequalities10分钟

4个作业总计120分钟

The nth Root of a Number30分钟
Graphing Radical Functions30分钟
Radical Equations and Inequalities30分钟
Radical Functions30分钟

We’ve already practiced creating new functions by translating and stretching the graphs of parent functions. In this module, we’ll explore even more ways to build new functions from existing ones. We'll begin by looking at how two functions can be combined to create a new one. Then, we’ll move on to explore inverse functions. Throughout the rest of the course, we’ll keep using these ideas to understand and work with different types of functions.

涵盖的内容

2个视频2篇阅读材料3个作业

In this module, we explore two new types of functions that arise when modeling natural phenomena: exponential and logarithmic functions. For example, exponential functions are used to represent the growth of a population, the value of an investment, and the elimination of a drug from the body. Logarithmic functions are the inverses of exponential functions. We will start by examining the key features of these functions and their graphs, then look at algebraic rules to transform and solve equations with them. Finally, we will apply exponential and logarithmic functions to build models and make predictions.

涵盖的内容

5个视频4篇阅读材料5个作业

5个视频总计97分钟

Exponential Functions22分钟
Logarithmic Functions15分钟
Properties of Logarithms21分钟
Examples of Exponential Modeling23分钟
Modeling with Data: Population Growth17分钟

4篇阅读材料总计40分钟

Exponential Functions5分钟
Logarithmic Functions10分钟
Exponential and Logarithmic Equations15分钟
Modeling with Exponents and Logarithms10分钟

5个作业总计220分钟

Exponential Functions40分钟
Logarithmic Functions50分钟
Exponential and Logarithmic Equations30分钟
Modeling with Exponents and Logarithms40分钟
Exponential and Logarithmic Functions60分钟

For the last module of this course, we will explore rational functions, which arise naturally when modeling inverse variation. These functions are defined as quotients of polynomials. We will learn about the domain, range, and graphs of rational functions, and practice manipulating them with algebra. Finally, we will see how to solve rational equations.