About This Chapter
Below is a sample breakdown of the Introduction to Trigonometry chapter into a 5-day school week. Based on the pace of your course, you may need to adapt the lesson plan to fit your needs.
|Day||Topics||Key Terms and Concepts Covered|
|Monday||Overview and terminology||Hands-on and graphical approaches to geometry problems, basic trig identities, cosine, sine, and volume equations for basic shapes|
|Tuesday||Sines, cosines, tangents, and ratios||Definition of sines, cosines and tangents; trigonometric similarity; trigonometric ratios; formulas for finding ratios; complementary angles; and calculating the cosine and sine of angles|
|Wednesday||The Pythagorean Theorem||a^2 + b^2 = c^2, hypotenuse, applying the theorem to determine the distance from one point to another, and SohCahToa|
|Thursday||Triangles||Practice problems with right triangles, plugging in the Pythagorean theorem for triangle equations, and finding a triangle's area through using sine|
|Friday||Laws||Law of Sines, a/sin A = b/sin B = c/sin C, Law of Cosines, a^2 = b^2 + c^2 - 2bc(cosA), c^2 = a^2 + b^2 - 2ab(cosC), and b^2 = a^2 + c^2 - 2ac(cosB)|
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.
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?
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.
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.
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.
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.
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.
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.
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.
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.
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Other chapters within the Geometry Curriculum Resource & Lesson Plans course
- Foundations of Geometry Lesson Plans
- Logic in Mathematics Lesson Plans
- Introduction to Geometric Figures Lesson Plans
- Properties of Triangles Lesson Plans
- Triangles, Theorems & Proofs Lesson Plans
- Parallel Lines & Polygons Lesson Plans
- Similar Polygons Lesson Plans
- Quadrilaterals Lesson Plans
- Circular Arcs & Circles Lesson Plans
- Conic Sections Lesson Plans
- Geometric Solids Lesson Plans
- Analytical Geometry Lesson Plans