Investigating Geometry Part One (Part One of Five)

In this first part of high school geometry, we will investigate the relationships and congruence of shapes and space.
This class meets two days a week live and has a pre-recorded investigation students will do during there free time. They will be required to bring what they discovered to class where we will discuss their discoveries. 

I find that students each work at a different pace on these investigation, this is why I have chosen to make the investigation pre-recorded so students can work at their own pace without the time limit of the class.

This Geometry curriculum is divided into 5 parts. In each part your learner will be taught with a mix of lecture, guided practice, and hands-on investigations. Skill learning will be circular within each part. Meaning a skill that you learned in Part 1 will be retaught with further learning in another part. Below is a breakdown of what you will see in this class.

In this class we will be building our foundation of geometry and discovering the importance of parallel lines.
The core learning skills of this part are as follows:
-Perform geometry investigations and make many discoveries by observing common features or patterns.
-Use your discoveries to solve problems through a process called inductive reasoning.
-Use inductive reasoning to discover patterns.
-Learn to use deductive reasoning.
-Learn about points, lines, and plane.
-Learn the relationships with angles and angle pairs.
- Understand the reasoning and logical of angle positioning.
-Understand what makes parallel lines, parallel.
-Apply knowledge of parallel lines in order to solve other geometric situations

Review skills
-Graphing on a coordinate plane
-using geometry tools
-graphing a linear line

Weekly Breakdown of topics (subject to change)
Week 1-3 Topic one: Introduction to Geometry (Lines and angles)
Lesson 1 Review of basic vocabulary
Lesson 2: Review midpoint and slope
Investigation one: The night sky
Lesson 3: Lines and planes
Lesson 4: Postulate and theorems/ Segments
Investigation two: Defining angles-review using geometry tools
Lesson 5: Angle pairs and relationships
Lesson 6: Angle bisectors and perpendicular bisectors
Investigation three: Why proofs?
Week 4-6 Topic 2: Reasoning and Logic
Lesson 7: Postulates and theorems (Review properties of equality and congruence)
Lesson 8: Inductive reasoning and patterns
Investigation four: Conjectures
Lesson 9: Conditional  and bi conditional statements
Lesson 10 Deductive reasoning
Investigation five: Patterns in Fractals
Project one: Prove it!
Week 7-8 Topic 3: Parallel lines
Lesson 11: Parallel lines and transversal
Lesson  12: Transversal angle pairs
Lesson 13: Proving lines parallel
Investigation six: The Sierpinski Triangle (optional presentation)



Before this class, your learner should have taken Pre-algebra and Algebra one curriculum. 

A geometry set is required for this class. Any set that has the following items will do:
A ruler (12 inches and 30 cm)
A protractor
A compass
Set squares (90-45-45 and 30-60-90)
Here is an example on amazon: https://www.amazon.com/gp/product/B0745Z3RTZ/ref=ox_sc_act_title_1?smid=A1YMG5SVGVCW58&psc=1
Your learner will also need a notebook to write in. Geometry has its own set of vocabulary and learning it can be like learning a new language. Students will have a set of vocab they must put in their geometry dictionary (notebook) each week.

I like to show the students the way math rules work so that it is easier to remember them. This way the curiosity of knowing how something works will move the gears of critical thinking. After I have shown them a pattern and why it works. I will ask them to apply it to a hard problem. If they can use these skills in different ways, I know they have mastered the concepts. I believe to memorize math is not understanding, but to apply math is not only understanding but fluency! To obtain this level of understanding, I will lead the students on a journey to discovering math through discussion, observation, and application of the math being used. If this is the kind of math class, you want then I am the teacher for you. 

I am a homeschooler, and I enjoy the freedom of figuring out how my child is assessed. I will give suggested practice problems each class and provide homework videos. Whether or not the practice problems are mandatory and graded is up to the parent. I will give in-class assignments such as discovery labs and discussion word problems. If you want an assignment done on your learner at the end of class, it will be the job of the parent to contact me within the first week of class so that I can send them my due dates for assessment work.