Geometry
Session Date
Lesson Topic
Special Triangles
Lesson Outline
Today we will review the concept of congruent triangles. this will be followed by applying this concept to isosceles and equilateral triangles' We will prove several new theorems and apply them to problems.
Assignment
A problem sheet was sent by email.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
This was a very productive day. Kaitlyn understands the proofs and is able to do the related problems.
Session Date
Lesson Topic
Congruent Triangles
Lesson Outline
We will start with a review of congruent triangles. We will prove the Third Angle Theorem and use it to prove the AAS Congruence Theorem. We will review the concept of perpendicular lines and use this concept to prove the Hypotenuse Leg Theorem. We will introduce and apply the concept of corresponding parts of congruent triangles are congruent (CPCTC).
Assignment
The assignment was sent by email as an attachment. It is due Thursday.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
Everything on the session outline was completed. Kaitlyn is so great to work with on learning geometry.
Session Date
Lesson Topic
Triangles
Lesson Outline
We will go over the assignment given yesterday and review the theorems and postulates on triangles. The new material for today will involve more theorems and postulates related to triangles. We will use the statements to do some proofs, and we will apply them to geometric figures.
Assignment
No assignment today.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
Kaitlyn is doing a great job. This session had some difficult concepts, and she is applying them to situations very nicely. She is engaged and cooperative in the sessions.
Session Date
Lesson Topic
Angles and Triangles
Lesson Outline
A review of angles will be completed before we begin studying triangles. We will focus on congruent triangles the triangle sum theorem. A homework assignment involving was sent by email.
Assignment
Solve a problem involving angles and a triangle.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We studied some very important geometric concepts today. We will use these to do important applications.
Session Date
Lesson Topic
Angles and Triangles
Lesson Outline
We will complete our study of angles by identifying angle pairs formed by two parallel lines cut by a transversal. We will also state the theorems related to this situation. Some applications of angles to real situations will also be presented. We will end class by introducing triangles and defining appropriate terms. The assignment is to look at the 11-page handout to review each new term.
Assignment
Be able to identify angle pairs and parts of a triangle by name.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
The session was completed successfully. Kaitlyn understands this material.
Session Date
Lesson Topic
Angle Pairs
Lesson Outline
We will study the congruent supplements theorem, the congruent complements theorem, and the angle bisector theorem and its converse. We will write a definition for parallel lines.
Assignment
Know what a transversal is in relationship to parallel lines.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We are making great progress through the beginning part of geometry. All the theorems, definitions, and postulates will lead to many practical applications, so a good foundation is being laid to move in that direction.
Session Date
Lesson Topic
Angles
Lesson Outline
Review the definition of angle and identify the vertex and measure of an angle. Several theorems will be presented related to angles, and we will use them to solve problems. The vertical angle theorem and the linear pair theorem are very important for applications. Homework will involve problem solving using the theorems.
Assignment
Sent by email. (Due Wednesday)
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
Several new definitions and theorems were presented. Kaitlyn showed quick understanding of these concepts. She is a pleasure to work with as she is attentive and involved in the lesson.
Session Date
Lesson Topic
Angles
Lesson Outline
We will start with definitions of complementary, supplementary, and vertical angles. We will define the term angle bisector and prove the angle bisector theorem. We will study the linear pair theorem, the congruent complements theorem and several other theorems as time permits. We will also define the concept of the converse of a theorem.
Assignment
Draw visuals for each term defined.
Session Minutes
45
Minutes Student Attended
0
Lesson Comments
For some reason we did not connect for class.
Session Date
Lesson Topic
Written review assignment to prepare for FLVS Geometry Final Exam.
Lesson Outline
Written review assignment to prepare for FLVS Geometry Final Exam. Solving 18 practice problems covering various essential geometry topics and methods.
Assignment
Study for the Geometry Final Exam. Best wishes!
Session Minutes
110
Minutes Student Attended
110
Lesson Comments
During tonight's remote review session for James' FLVS Geometry Final Exam, he worked diligently and productively in completely various difficult problems covering a wide range of key course topics.
Session Date
Lesson Topic
Review the homework involving theorems and postulates related to lines. Begin the study of angles. Define the term angle, define the term vertex, and draw an example.
Lesson Outline
After the homework quiz we will prove our first theorem. The steps in a formal proof will be shown as we prove the common segments theorem with a formal statements - reasons proof. The process is the important emphasis of the proof. This will be followed by introducing the concept of an angle.
Assignment
Know the types of angles by their numerical measure and be able to identify an angle by its name.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We completed the lesson outline. The proof process went very well, Kaitlyn followed the process very nicely. We began our study of angles.