About This Chapter
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.
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.
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.
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.
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!
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.
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.
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Other chapters within the High School Geometry: Homeschool Curriculum course
- Foundations of Geometry: Homeschool Curriculum
- Logic in Mathematics: Homeschool Curriculum
- Geometric Figures: Homeschool Curriculum
- Properties of Triangles: Homeschool Curriculum
- Triangles, Theorems & Proofs: Homeschool Curriculum
- Parallel Lines & Polygons: Homeschool Curriculum
- Similar Polygons: Homeschool Curriculum
- Quadrilaterals: Homeschool Curriculum
- Circular Arcs and Circles: Homeschool Curriculum
- Focus & Directrix: Homeschool Curriculum
- Geometric Solids: Homeschool Curriculum
- Introduction to Trigonometry: Homeschool Curriculum