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Ch 12: Analytical Geometry: Homeschool Curriculum

About This Chapter

The Analytical Geometry unit of this High School Geometry Homeschool course is designed to help homeschooled students learn about the foundations of analytical geometry. 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 the basics of analytical geometry. There is no faster or easier way to learn about analytical geometry. Among those who would benefit are:

  • Students who require an efficient, self-paced course of study to learn to plot points, graph lines, determine the slope of a line and use geometric formulas.
  • Homeschool parents looking to spend less time preparing lessons and more time teaching.
  • Homeschool parents who need a math 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 analytical geometry unit exam confirm understanding or identify any topics that require review.

Analytical Geometry Unit Objectives:

  • Identify the parts of a graph.
  • Explain the Cartesian coordinate system.
  • Describe how to use the midpoint and distance formulas.
  • Explain how to calculate the slope of a line.
  • Describe geometric proofs for polygons.

6 Lessons in Chapter 12: Analytical Geometry: Homeschool Curriculum
Test your knowledge with a 30-question chapter practice test
What Are the Different Parts of a Graph?

1. What Are the Different Parts of a Graph?

Being able to read a graph isn't just vital for an algebra class. Graphs and charts are used everywhere! We'll take a crash course on the basic x/y plane used in algebra and the fundamental vocab you need.

The Cartesian Coordinate System: Plotting Points & Graphing Lines

2. The Cartesian Coordinate System: Plotting Points & Graphing Lines

Watch this video lesson to see how useful the Cartesian coordinate system is. Learn how points are labeled and how you can plot points and graph lines using the system.

How to Use The Midpoint Formula

3. 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 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!

Calculating the Slope of a Line: Point-Slope Form, Slope-Intercept Form & More

5. Calculating the Slope of a Line: Point-Slope Form, Slope-Intercept Form & More

Being able to calculate the slope of a line is a very useful skill to have. Why? Watch this video lesson to find out and learn how to find the slope when working with various equations and various lines.

Geometric Proofs for Polygons

6. Geometric Proofs for Polygons

Watch this video lesson to learn why it is important for you to learn how to do formal proofs in geometry. Also learn how to set up a proof and how to successfully execute one.

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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