Ch 9: Geometry Basics for Precalculus Lesson Plans

About This Chapter

The Geometry Basics for Precalculus chapter of this course is designed to help you plan and teach the basic geometry formulas used in precalculus in your classroom. The video lessons, quizzes and transcripts can easily be adapted to provide your lesson plans with engaging and dynamic educational content. Make planning your course easier by using our syllabus as a guide.

Weekly Syllabus

Below is a sample breakdown of the Geometry Basics for Precalculus 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.

DayTopic Key Terms and Concepts Covered
Monday Circles Determining area and circumference; graphing circles; finding the center and radius
Tuesday Completing the square Rewriting equations using the completing the square process
Wednesday Distance and midpoint formulas How to use the distance formula and the midpoint formula
Thursday Visualization problems and calculating volume Solving visualizing geometry problems and calculating volume of shapes
Friday The Pythagorean Theorem Finding distance using the Pythagorean Theorem; using the Pythagorean Theorem in trigonometric functions.

9 Lessons in Chapter 9: Geometry Basics for Precalculus Lesson Plans
Test your knowledge with a 30-question chapter practice test
Circles: Area and Circumference

1. Circles: Area and Circumference

Understanding how to calculate the area and circumference of circles plays a vital role in some of our everyday functions. They serve as the foundation for operating with three-dimensional figures. Learn more about the area and circumference of circles in this lesson.

Graphing Circles: Identifying the Formula, Center and Radius

2. Graphing Circles: Identifying the Formula, Center and Radius

Discover how to graph circles by finding key information like the center and radius. Identify circles by simply looking at the formula, and vice versa.

Write the Standard Form of an Equation by Completing the Square

3. Write the Standard Form of an Equation by Completing the Square

In math, we have a process called completing the square where you take your quadratic equation and rewrite it to make it easier to solve. Watch this video lesson to learn how you can do this process easily yourself.

How to Use The Distance Formula

4. How to Use The Distance Formula

You can't always rely on your smartphone to tell you how far you need to travel to get from point A to point B. The distance formula will tell you the distance between any two points on a graph. In this lesson, you'll learn where it comes from and how to use it!

How to Use The Midpoint Formula

5. How to Use The Midpoint Formula

The formula for the midpoint of a line segment will tell you how to find the middle of any line segment on the x, y plane. Learn about this formula and see how it is used to find the midpoint of a line segment.

How to Solve Visualizing Geometry Problems

6. 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

7. 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

8. 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 and the Pythagorean Theorem

9. 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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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Other Chapters

Other chapters within the High School Precalculus Syllabus Resource & Lesson Plans course

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