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This course covers the first semester of a high school Geometry course. It is designed to help students preview and/or review topic learned in class. It is organized to review Geometry classroom topics on a weekly basis.
How to use this course:
This course will get you thinking about topics you encounter in class. It is your proactive approach to learning math. It can also be used as way to catch up or re-learn things missed in class.
This course will work well when used as a supplement to class work. This course is not designed with enough practice assignments to help build skills. You can use your assigned classwork as practice to help you build the skills needed to succeed in class.
If you need more practice assignments or more extensive tutoring you may contact me at www.SCMathTutor.com and I will be more than happy to help you.
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|Section 1: Geometry Week 1|
An introduction to the coordinate plane.
Points Lines and Planes (1.2)
|Section 2: Geometry Week 2|
You should be familiar with the distance formula from Algebra. It is a very important concept that will be used over and over again in geometry. It is a good idea to learn the distant formula and it;s application early on in your geometry career.
The distance formula is derived from the pythagorean theorem.
The above video presents a basic overview of the midpoint formula. The midpoint formula should be another familiar concept from Algebra. Just like the distance formula, it has many geometry applications. It is a good formula to learn and understand.
Section Key Vocabulary
|Section 3: Geometry Week 3|
Inductive and Deductive Reasoning (2.1,2.3)
Proofs are very important in math! It is critical that you pay attention to proofs and learn it early on in you math career. Geometry proofs will test your knowledge of most of the previous math concepts you have learned so far.
Geometry proofs are like puzzles. Approach them like you are a detective.
Here are some general guidelines on how to approach proofs:
Always start with a plan. Figure out your move before you make it! Do lawyers come to court unprepared? I hope not! Make it a point to fully grasps geometry terms, theorems and properties, it will translate to better proofs.
|Section 4: Geometry Week 4|
|The purpose of this lesson and the next few lessons are really to give you a lot of practice in developing your proofing skills. It is important that you see a lot proofs and get a lot of proving practice. Like any new skill, practice will lead to proficiency and translate to a good grade!|
|This lesson is another great opportunity to see a lot of proves and to practice a lot of proves. Take advantage of it. It will help you a lot!|
|Section 5: Geometry Week 5|
Parallel Lines and Transversals (3.1)
Angles and Parallel Lines (3.2)
Slopes of Lines (3.3)
|Section 6: Geometry Week 6|
To be successful this week you need to...
· Watch as many proofs as possible.
· Study as many proofs as possible.
· Try as many proofs as possible.
By now you should know ALL previous definition, postulates, theorems that you've encountered this year.
· Look through the first few proof examples in you book.
· Cover over the reasons for some of the two column proofs and try to see if you can come up with these reasons yourself.
· Go through the odd questions in your book without looking and check your answers when you are done.
· Ask questions about things you don't understand! Don't wait till the last minute.
Practice Practice Practice!
Always plan out your proofs before you attempt them. :-)
More Proof Videos involving parallel lines
Classifying Triangles (4.1)
This is another lesson where practice makes perfect! Practice, Practice Practice! Below are more videos with examples on how to apply these relationships.
|Section 7: Geometry Week 7|
Proving triangles are important. You will be proving triangles for a long time so it is worth while to learn to to prove them from the beginning. I have included links to some examples you can follow. Practice makes perfect! Remember, accuracy is key so practice problems you can check or go in and ask your teachers to help you verify your proofs. Enjoy!
Exploring Congruent Triangles (4.5, 4.6)
|Section 8: Geometry Week 8|
Inequalities Involving Two Triangles (Hinge Theorem) (5.6)
|Section 9: Geometry Week 9|
Bisectors of Triangles
Medians and Altitudes of Triangles
Triangle Midsegment Theorem
|Section 10: Geometry Week 10|
Test for Parallelograms (6.2)
|Section 11: Geometry Constructions|
6.3 Rectangles, Rhombus, Squares (6.3, 6.4)
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