Ch 1: Foundations of Geometry: Homeschool Curriculum

About This Chapter

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

  • Students who require an efficient, self-paced course of study to learn inductive and deductive reasoning, postulates and theorems, algebraic laws and geometric postulates.
  • Homeschool parents looking to spend less time preparing lessons and more time teaching.
  • Homeschool parents who need a geometry 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 basic geometry unit exam confirm understanding or identify any topics that require review.

Foundations of Geometry Unit Objectives:

  • Describe the field of geometry.
  • Describe how to use inductive and deductive reasoning for geometry.
  • State Thales' and Pythagoras' contributions to geometry.
  • List the properties of an axiomatic system.
  • Discuss how Euclid of Alexandria contributed to geometry.
  • Define postulates and theorems and what they're used for.
  • Apply postulates to points, lines, planes and real numbers.
  • List algebraic laws and how they're used in conjunction with postulates.

8 Lessons in Chapter 1: Foundations of Geometry: Homeschool Curriculum
Test your knowledge with a 30-question chapter practice test
What is Geometry?

1. What is Geometry?

Geometry can be traced all the way back to 2000 BC. Watch this video lesson and learn how much geometry has grown over time, and how people from Egypt, Greece, and France have contributed to the geometry we now use today.

Inductive & Deductive Reasoning in Geometry: Definition & Uses

2. Inductive & Deductive Reasoning in Geometry: Definition & Uses

Watch this video lesson, and you will learn how important inductive and deductive reasoning is in the field of mathematics, especially when dealing with proofs in geometry. Learn how these two fundamental forms of reasoning give rise to formal theorems.

Thales & Pythagoras: Early Contributions to Geometry

3. Thales & Pythagoras: Early Contributions to Geometry

In this video lesson, you will learn about the contributions Thales and Pythagoras made to the study of geometry. Also learn which of their major contributions is still in use today.

The Axiomatic System: Definition & Properties

4. The Axiomatic System: Definition & Properties

Learn what kinds of things are included in an axiomatic system in this video lesson. Also learn why consistency, independence, and completeness are important in axiomatic systems.

Euclid's Axiomatic Geometry: Developments & Postulates

5. Euclid's Axiomatic Geometry: Developments & Postulates

Learn how the way we do proofs in geometry had its start with Euclid in this video lesson. Learn about his contributions to the geometry we know today. Also learn about the five basic truths that he used as a basis for all other teachings.

Undefined Terms of Geometry: Concepts & Significance

6. Undefined Terms of Geometry: Concepts & Significance

What do points, lines, planes, and sets have in common? Watch this video lesson to find out what they are, what they look like, and why they are called undefined terms.

Properties and Postulates of Geometric Figures

7. Properties and Postulates of Geometric Figures

In geometry, there are some basic postulates that are relied upon as the basis for other theorems. Watch this video to learn about the postulates that deal with points, lines, and planes.

Algebraic Laws and Geometric Postulates

8. Algebraic Laws and Geometric Postulates

Watch this video to learn about the basic algebraic laws that are also part of the basic geometric postulates that form the basis for the geometry that we know and study today.

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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