About This Chapter
Below is a sample breakdown of the Geometry & 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||Geometry problem-solving techniques||Suggestions for drawing images in order to visualize and solve geometry problems|
|Tuesday||Dimensions of 2D and 3D shapes||Formulas for calculating the area of squares, rectangles, triangles and circles; formulas for calculating the volume of cubes, cylinders, prisms, spheres, pyramids and cones|
|Wednesday||The Pythagorean theorem||Applications of the Pythagorean theorem to find the missing sides of right and non-right triangles|
|Thursday||Sine, cosine and tangent||Methods for using the Pythagorean theorem to derive the basic trigonometric functions|
|Friday||Applications of trig functions||Steps involved in using an inverse trigonometric function and the Pythagorean theorem to find the sides of right triangles|
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. 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.
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Other chapters within the College Precalculus Syllabus Resource & Lesson Plans course
- Functions: College Precalculus Lesson Plans
- Exponential & Logarithmic Functions: College Precalculus Lesson Plans
- Inequalities: College Precalculus Lesson Plans
- Foundations & Linear Equations: College Precalculus Lesson Plans
- Graphing & Rational Equations: College Precalculus Lesson Plans
- Quadratic Equations: College Precalculus Lesson Plans
- Exponents & Polynomials: College Precalculus Lesson Plans
- Piecewise & Composite Functions: College Precalculus Lesson Plans
- Using Scientific Calculators: College Precalculus Lesson Plans
- Trigonometry: College Precalculus Lesson Plans