Ch 13: Introduction to Trigonometry: Homeschool Curriculum

About This Chapter

The Introduction to Trigonometry unit of this High School Geometry Homeschool course is designed to help homeschooled students learn about the basic concepts of trigonometry. 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 Geometry Homeschool course will benefit any student who is trying to learn about basic trigonometry concepts. There is no faster or easier way to learn about introductory trigonometry. Among those who would benefit are:

  • Students who require an efficient, self-paced course of study to learn about sines, cosines, tangents, trigonometric ratios and trig identities.
  • Homeschool parents looking to spend less time preparing lessons and more time teaching.
  • Homeschool parents who need a trigonometry 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 an introductory trigonometry unit exam confirm understanding or identify any topics that require review.

Introduction to Trigonometry Unit Objectives:

  • Explain the connection between the sine and cosine of complementary angles.
  • Learn to calculate the volume of spheres.
  • Use the Pythagorean Theorem to find distance.
  • Learn hands-on approaches to visualizing geometry problems.
  • Describe how to graph sines and cosines.
  • Prove the Laws of Sines and Cosines.

10 Lessons in Chapter 13: Introduction to Trigonometry: Homeschool Curriculum
Test your knowledge with a 30-question chapter practice test
How to Solve Visualizing Geometry Problems

1. How to Solve Visualizing Geometry Problems

A picture is worth a thousand words, but sometimes drawing that picture can be like doing origami with your eyes closed. Practice translating complex problems into simple, meaningful images in this lesson.

How to Calculate the Volumes of Basic Shapes

2. How to Calculate the Volumes of Basic Shapes

Squares pegs = square holes. Triangular pegs = triangular holes. But where does a sphere go? In this lesson, review volumes of common shapes while contrasting a sphere and a cylinder - after all, they both go into the circular hole... right?

Finding Distance with the Pythagorean Theorem

3. Finding Distance with the Pythagorean Theorem

How much faster is it to cut the corners in a race around the block? In this lesson, review the Pythagorean Theorem, and figure out how to solve without a right triangle.

Trigonometry: Sine and Cosine

4. Trigonometry: Sine and Cosine

Learn an easy trick to help you solve trigonometry problems, including problems with sine, cosine and inverse trig functions. At the end of this lesson, you'll know what SohCahToa means and how to use it.

List of the Basic Trig Identities

5. List of the Basic Trig Identities

There are specific trig functions that have very special and very simple relationships with each other. Learn the main one and how you can use it to understand the others.

Trigonometry and the Pythagorean Theorem

6. Trigonometry and the Pythagorean Theorem

Explore how the Pythagorean Theorem can be used in conjunction with trigonometric functions. In this lesson, take an inverse trigonometric function, and define all three sides of a right triangle.

Trigonometric Ratios and Similarity

7. Trigonometric Ratios and Similarity

Where do terms like sine, cosine and tangent come from? In this lesson, we'll learn about how similarity with right triangles leads to trigonometric ratios.

Practice Finding the Trigonometric Ratios

8. Practice Finding the Trigonometric Ratios

So you know what sine, cosine and tangent are. Great! But how do you use them? Find out how in this lesson as we find missing sides and angles using trigonometric ratios.

Law of Sines: Definition and Application

9. Law of Sines: Definition and Application

Don't get stuck trying to find missing sides or angles in a triangle. Use the Law of Sines to rescue you from any perilous triangle in which you have just a few pieces of information.

Law of Cosines: Definition and Application

10. Law of Cosines: Definition and Application

In this lesson, we'll learn how to solve problems involving three sides and one angle in a triangle. The Law of Cosines, a modification of the Pythagorean Theorem, will save the day.

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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