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Ch 31: Limits in Precalculus: Homeschool Curriculum

About This Chapter

The Limits in Precalculus unit of this High School Precalculus Homeschool course is designed to help homeschooled students learn about defining and identifying limits in precalculus. Parents can use the short videos to introduce topics, break up lessons and keep students engaged.

Who's it for?

This unit of our High School Precalculus Homeschool course will benefit any student who is trying to learn about limits in precalculus. There is no faster or easier way to learn about mathematics. Among those who would benefit are:

  • Students who require an efficient, self-paced course of study to learn to find the limits of functions.
  • Homeschool parents looking to spend less time preparing lessons and more time teaching.
  • Homeschool parents who need a mathematics curriculum that appeals to multiple learning types (visual or auditory).
  • Gifted students and students with learning differences.

How it works:

  • Students watch a short, fun video lesson that covers a specific unit topic.
  • Students and parents can refer to the video transcripts to reinforce learning.
  • Short quizzes and a Limits in Precalculus unit exam confirm understanding or identify any topics that require review.

Limits in Precalculus Unit Objectives:

  • Provide an example of a squeeze theorem.
  • Define limits by using a graph.
  • Discover how to determine the limits of a function.
  • Calculate the limits for infinity and asymptotes.
  • Learn to numerically identify limits.

7 Lessons in Chapter 31: Limits in Precalculus: Homeschool Curriculum
Test your knowledge with a 30-question chapter practice test
Using a Graph to Define Limits

1. Using a Graph to Define Limits

My mom always said I tested the limits of her patience. Use graphs to learn about limits in math. You won't get grounded as we approach limits in this lesson.

Understanding Limits: Using Notation

2. Understanding Limits: Using Notation

Join me on a road trip as we define the mathematical notation of limits. As time goes by and I traverse hills and highways, the limit of my speed changes. Learn how to write these limits in this lesson.

One-Sided Limits and Continuity

3. One-Sided Limits and Continuity

Over the river and through the woods is only fun on a continuous path. What happens when the path has a discontinuity? In this lesson, learn about the relationship between continuity and limits as we walk up and down this wildlife path.

How to Determine the Limits of Functions

4. How to Determine the Limits of Functions

You know the definition of a limit. You know the properties of limits. You can connect limits and continuity. Now use this knowledge to calculate the limits of complex functions in this lesson.

Understanding the Properties of Limits

5. Understanding the Properties of Limits

Graphically we can see limits, but how do we actually calculate them? Three words: Divide and Conquer. In this lesson, explore some of the properties that we can use to find limits.

Squeeze Theorem: Definition and Examples

6. Squeeze Theorem: Definition and Examples

In the Kingdom of Rimonn there are three rivers. In this lesson, learn how these waterways demonstrate the power of the squeeze theorem for finding the limits of functions.

Graphs and Limits: Defining Asymptotes and Infinity

7. Graphs and Limits: Defining Asymptotes and Infinity

Infinity is a hard concept to understand and the word asymptote is pretty intimidating. But this fun lesson will make both seem like a walk in the park as it defines both and shows their relationship using a graph.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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Other Chapters

Other chapters within the High School Precalculus: Homeschool Curriculum course

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