Geometry: Learning Circles

This class will cover: 
Day 1: 
Circles Vocabulary: 
-definitions of line, ray, segment, circle, chord, diameter, radius, tangent, point of tangency, secant, semicircle, central angle, arcs (major and minor arcs)
-how these terms relate to each other
-how to identify them
Day 2:
Tangent Theorems: 
-definitions of a tangent segment, externally tangent circles, internally tangent circles, and common tangent
-Perpendicular Tangent Theorem and its converse
-tangent segments from a common external point are congruent
-how to use these theorems to solve 
Day 3:
Chord Theorems: 
-if a radius is perpendicular to a chord then it bisects that chord (converse is also true)
-the perpendicular bisector of a chord passes through the center of the circle (converse is also true)
-if two chords are equidistant to the center of a circle, then those two chords are congruent (converse is also true)
-if two chords are congruent, then their corresponding arcs are also congruent (this also applies to central angles) 
-how to use these theorems to solve
Day 4: 
Assessment of material, check on students progress to see if they not only understand the concepts but can connect the concepts to solve multi-layered problems
Day 5:
Relationships of Angles (formed inside, outside and on the circle):
-relationship from 2 intersecting chords that form an interior angle to the circle 
-definition of an inscribed angle and its relationship to its corresponding chords
-relationship from a chord and a tangent line that form an angle on the circle
-relationship from a tangent and tangent, tangent and secant, and secant and secant that all form an exterior angle to the circle
-how to use these theorems to solve
Day 6:
Segment theorems:
-Chord-Chord Power Theorem
-Tangent-Secant Segment Power Theorem
-Secant-Secant Segment Power Theorem
-how to use these theorems to solve
Day 7:
Circumference, Area, Area of a Sector, and Arc Length:
-definition of circumference, area, pi (and why we use pi for circles)
-how to determine the length of an arc on a circle
-how to determine the area of a sector of a circle
Day 8:
Review, Connection to real world concepts:
-how we use circles and these topics in real world applications
Day 9:
Final assessment of material retention 

In each class, we will start the class by answering questions from the homework from the previous lesson, then we will go over notes on the new topic, answering any questions as we work on practice problems associated with the new material. Guided notes will be provided for the lessons (outside of assessment days). Any extra time in class will be to work on the homework of that day or to answer any other questions the students may have. 
For class discussions, step by step solving of problems from notes and worksheets, and answering any questions, I will be using my personal white boards. Via Zoom, each lesson will also be using screen share to go over power-points, to show moving diagrams on my Geometer's sketchpad, and to go over answers to previous homework or quizzes.
An example of the class structure for each 60 minute meeting:
10 minutes: Welcome, Answering any questions from last lesson, going over any homework questions, encourage discussion on last covered material
40 minutes: Guided notes (with accompanying power-point) and practice problems (Students may ask questions during this time as well)
10 minutes: Answering questions from lesson, allow students to work on worksheet/homework, and discussion on topics and how they relate to every day life 
With every lesson, I allow some flexibility in the hour so that questions can be answered or topics and be revisited if needed. 

My teaching style is to connect the material to each other so that students will see how each topic relates. I encourage discussion/questions and am willing to explain the topic in different ways so the students can understand the material. I use multiple forms of media to help students who learn differently: auditory- will relate to my guided notes which allow students to listen more to my explanations of the material, visual- will relate to the many diagrams and pictures I will include in my lessons for students to understand the material, kinesthetic- will relate to me encouraging students to use whatever medium they would like to take notes and work on the material. 

Students should have pre-algebra and algebra skills for this class.