Download GEOMETRY Final Exam and Course Management

TabletClass Math
Geometry Course Guidebook
Includes Final Exam/Key, Course Grade Calculation Worksheet and
Course Certificate
Student Name_______________________________________
Parent Name________________________________________
School Name________________________________________
Date Started Course______________
Date Completed Course_______________________ Final Grade_________________
Copyright © 2014 TabletClass.com, LLC
Table of Contents

Introduction and Special Message From Teacher ........................................................... 3

Chapter Tests Summary Worksheet .................................................................................. 4

Course Guidebook ................................................................................................................ 5

Final Exam Directions ........................................................................................................ 44

Final Exam ........................................................................................................................... 45

Final Exam Key ................................................................................................................... 66

Course Grade Calculation Worksheet ............................................................................. 67

Course Pacing Guidelines ................................................................................................. 69

Course Certificate ............................................................................................................... 70
Copyright © 2014 TabletClass.com, LLC
2
Introduction
Special Message from the Teacher:
Welcome to the TabletClass Math Geometry course. First I want to say that I’m very excited to have you
as a student. My goal is to give you an enjoyable and high quality learning experience. Moreover I want
you to know that you can master this material if you work hard and never give up. This guidebook and
final exam is an important part of the course so I strongly recommend that you use the included material.
The secret to being successful in mathematics is your approach to studying the topic- i.e. your study
habits. From years of teaching math I can say that those students with the best study habits almost
always earn the top grades. As such parents and teachers must focus on holding students accountable
for the quality of their work.
Below are critical guidelines for students as they take the course:
1. Never give up- especially when a topic is not understood easily or immediately
2. Strive to be as neat and organized as possible
3. Excellent note taking is a must to succeed in math
4. Show all steps when working problems
5. Double check your work as you write your solution steps
6. Always go back and review incorrect problems and discover where the error was made
7. Master the fundamentals and don’t move forward unless you understand previous material
Suggested use of the follow along guidebook and final exam:
1. Maintain the guidebook as a written record of the online TabletClass Math student’s account
2. The guidebook and final are designed to be a part of the student’s overall course portfolio
3. Carefully read the final exam directions before giving the final to student
4. Use the course grade worksheet as input for the final grade assigned
Remember the course material builds on itself so you want to ensure that you don’t skip chapters and
sections. Furthermore you want to correct your weak areas before moving onto the next topic. The
guidebook and online self-assessment / my pulse software features will help you manage your progress.
Lastly, I want to stress that you can be great in math if you work hard. Even if you have struggled in math
before I want you to look at this course as a fresh start in your mathematics journey- I know in my heart
you can ace this course!
Best of luck!
John Zimmerman
TabletClass Math Teacher
Copyright © 2014 TabletClass.com, LLC
3
Geometry Chapter Tests Summary
Chapter 1: Foundations for Geometry
Chapter Test Score______________ Date Taken_______________
Chapter 2: Reasoning and Proof
Chapter Test Score______________ Date Taken_______________
Chapter 3: Perpendicular and Parallel Lines, Polygons
Chapter Test Score______________ Date Taken_______________
Chapter 4: Congruent Triangles
Chapter Test Score______________ Date Taken_______________
Chapter 5: Properties of Triangles
Chapter Test Score______________ Date Taken_______________
Chapter 6: Quadrilaterals
Chapter Test Score______________ Date Taken_______________
Chapter 7: Similarity
Chapter Test Score______________ Date Taken_______________
Chapter 8: Transformations
Chapter Test Score______________ Date Taken_______________
Chapter 9: Right Triangles and Trigonometry
Chapter Test Score______________ Date Taken_______________
Chapter 10: Circles
Chapter Test Score______________ Date Taken_______________
Chapter 11: Area and Volume
Chapter Test Score______________ Date Taken_______________
Copyright © 2014 TabletClass.com, LLC
4
TabletClass Math Geometry Course
Follow Along Guidebook Chapter 1
Chapter 1: Foundations for Geometry
(Date started_________ | Date completed ___________)
This chapter will introduce students to the key terms and concepts in geometry. Students will learn how
to write the notation for various geometric expressions like angles, lines, rays, planes, points and
segments. Lastly, the concept of theorems and postulates are introduced and their importance
explained.
Section Summary (circle / complete after chapter is finished):
1. Welcome to Geometry
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2. Points, Lines and Planes
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3. Line Segments, Rays
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4. Angles
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5. Theorems and Postulates
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Post Chapter Checklist
___ Extra Practice Problem Worksheet Completed
___ Studied For Exam
Chapter Test Score______________ Date Taken_______________
Chapter Test (Retake) Score______________ Date Taken___________________
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5
Ch. 1 Section 1 Welcome to Geometry
(Date started_________ | Date completed ___________)
This section is a quick introduction to the topic of geometry. The video will discuss some of the topics
students will see through the course. No specific lesson is taught.
Check when finished; also circle your level of understand for each video
___ Lesson Video
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Ch. 1 Section 2 Points, Lines and Planes
(Date started_________ | Date completed ___________)
In this section I will introduce you to the building blocks of geometry- points, lines and planes. Hence, it’s
important that you understand how we define and think of these concepts. Geometry is very different
than algebra so you will be learning an entirely new mathematical language. As such you need to take
excellent and organized notes because I will be teaching you a lot of new symbols, notations and
theorems. In this lesson my goal is to get you to understand how points, lines and planes relate. Now
this may sound strange but points, lines and planes cannot be defined in geometry- I will explain why in
the video. I’m sure you have a good sense of what a “point” is or a “line” is but as you will see in the
lesson these terms cannot be strictly defined. However we still can learn a lot about the properties of
points, lines and planes and apply this knowledge to the wonderful world of geometry. Welcome to
course I know you will learn a lot!
Check when finished; also circle your level of understand for each video
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___ Example Set A
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___ Example Set B
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___ Example Set C
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6
Ch. 1 Section 3 Line Segments, Rays
(Date started_________ | Date completed ___________)
In this section I will teach you about line segments and rays. A line segment is basically what the name
implies- it’s just a “piece” of a line with end points. Along with the definition of a line segment you need to
understand the proper notation to describe a line segment. The next shape we will look at is the
ray. You can think of a ray like an arrow in the sense it has one starting point and travels out in specific
direction. The key difference between a line segment and ray is that the line segment has two end points
where as the ray only has one. The notation for a line segment and ray are similar so be careful not to
confuse the two. Like I said in the previous lesson, geometry has lots of symbols and notations so you
need to watch the details of these symbols as many will look similar.
Check when finished; also circle your level of understand for each video
___ Lesson Video
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___ Example Set A
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___ Example Set B
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Ch. 1 Section 4 Angles
(Date started_________ | Date completed ___________)
In this section I will teach you about angles. As you can imagine angles have a huge role to play in
geometry so we need to know them well. First, let’s start with a basic definition of an angle; an angle is
simply two rays that start from the same point called a vertex. Like all new shapes we learn in geometry
we will need to master the symbols and notation associated with angles. Now that you have a good
sense of what an angle is we can explore the various types of angles. In the lesson I will classify different
angles to include right, acute and obtuse angles. Also we will explore a few key properties that angles
contain. As our knowledge of geometry builds you will learn much more about angles especially when
they are formed in triangles or intersecting lines. Stay excited as you will see how geometry will relate to
real life shapes and situations. One last thing- make sure to review your notes frequently to ensure you
are retaining the material.
Check when finished; also circle your level of understand for each video
___ Lesson Video
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___ Example Set A
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___ Example Set B
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___ Example Set C
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7
Ch. 1 Section 5 Theorems and Postulates
(Date started_________ | Date completed ___________)
In this section I will introduce you to theorems and postulates. By the time you finish geometry you will
have learned and studied many, many, many theorems and postulates. So let me give you a quick
definition on them- let’s start with postulates first. A postulate is a mathematical law that we can’t prove
but we accept on faith. For example the idea that two parallel lines never cross is a postulate- we accept
this as fact but in mathematics we actually can’t prove this. You may be thinking that you can prove two
parallel lines never intersect but if you put your arguments into a mathematical proof you would not be
able to prove it. Many famous mathematicians have tried and failed to come up with a parallel line proof
for hundreds and hundreds of years- so if you can prove it great! However just because we can’t
absolutely prove that parallel lines will never intersect we can believe it anyway and turn our belief into a
mathematical law. Now that you have a sense of what a postulate is we can now define a theorem. A
theorem is simply a mathematical property or law that we can prove using postulates and logic. Let’s
take a look at the lesson so you can start learning your first postulates and theorems in geometry.
Check when finished; also circle your level of understand for each video
___ Lesson Video
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___ Example Set A
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___ Example Set B
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8
TabletClass Math Geometry Course
Follow Along Guidebook Chapter 2
Chapter 2: Reasoning and Proof
(Date started_________ | Date completed ___________)
In this chapter students will study the role of logic and proof in geometry. Students will learn how to
identify the hypothesis and conclusion in conditional statements and write the converse. In addition,
students will learn more about the properties of lines and angles. Lastly, students will learn the structure
of a geometric proof and study the steps to write an entire proof on their own.
Section Summary (circle / complete after chapter is finished):
1. Conditional Statements and Converses
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2. Algebra Properties
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3. Deductive and Inductive Reasoning
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4. More on Angles and Lines
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5. How to Plan and Write a Proof
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Post Chapter Checklist
___ Extra Practice Problem Worksheet Completed
___ Studied For Exam
Chapter Test Score______________ Date Taken_______________
Chapter Test (Retake) Score______________ Date Taken___________________
Copyright © 2014 TabletClass.com, LLC
9
Ch. 2 Section 1 Conditional Statements and Converses
(Date started_________ | Date completed ___________)
In this section I will teach you about conditional and converse statements. We need to study this
because part of what we do in geometry is write proofs. A proof is a way of “proving” something using
logic, properties, theorems and postulates. Confused? Don’t worry I will explain proofs in details in this
and future lessons. If you ask anyone that has taken high school level geometry they may not have great
memories of doing proofs because they can be challenging and confusing. Hence you really want to
focus on this lesson and take excellent notes. So let’s do a quick introduction to conditional and
converse statements. A conditional statement is nothing more than an “if-then” statement. For example
the statement “if it rains I will then need my umbrella” is a conditional statement. The converse is a
statement where we “flip” a conditional statement around- let’s use the above statement to find the
converse-”if I need my umbrella then it’s raining”. Do you see the connection between the two
statements? No worries my lesson will make these concepts clear- good luck!
Check when finished; also circle your level of understand for each video
___ Lesson Video
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___ Example Set A
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___ Example Set B
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___ Example Set C
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Ch. 2 Section 2 Algebra Properties
(Date started_________ | Date completed ___________)
In this section I will teach you about the properties of algebra. Now you might be wondering why we are
studying algebra in geometry but as the course goes on you will see how much we use algebra to solve
geometry problems. So let me take this time to encourage you to review your algebra skills frequently so
they remain sharp not only for geometry but for future math courses like algebra 2. Ok so what are
algebra properties and why do we need them in geometry? First let’s start with examples of an algebra
property. Do you remember the distributive property? If you do, then you remember a very important
algebra property. The property helps us simplify problems like 3(x + 2) and write it in an equivalent form
of 3x + 6. We were able to do this because the property states we can “distribute” or multiply the 3 to the
x and 2. Algebra properties are laws that we need to follow in algebra. However these same algebraic
properties have a geometric equivalent and we will need to know these properties to write proofsFUN! Like always take good notes and practice as much as you can.
Check when finished; also circle your level of understand for each video
___ Lesson Video
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10
Ch. 2 Section 3 Deductive and Inductive Reasoning
(Date started_________ | Date completed ___________)
In this section I will be teaching you about deductive and inductive reasoning. As you know we do a
good amount of proofs in geometry. A proof is a structured, organized way to “argue” our belief. For
example if I said prove a pencil is not a pen. Well you might start this proof by saying “ok can we agree
that a pencil uses lead and a pen uses ink?” Then you might say “because the definition of a pencil is
only those writing instruments that use lead I conclude a pen is not a pencil.” Now this might seem like a
silly example but the point I’m trying to make is how I organized and walked a person through my
argument. This organized way of arguing is called logic and that’s what we will be studying. As you will
see in the lesson there are two types of logic- deductive logic and inductive logic. You need to know
them both but we will be using deductive logic the most in geometry. Enjoy the lesson and take good
notes.
Check when finished; also circle your level of understand for each video
___ Lesson Video
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___ Example Set A
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___ Example Set B
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Ch. 2 Section 4 More on Angles and Lines
(Date started_________ | Date completed ___________)
In this section I will be teaching you more about angles and lines. I can’t stress how important it is for
you to master and understand all the various properties about angles and lines as we will be using them
a lot in geometry. Some of the things we will be studying in the lesson are complementary and
supplementary angles as well as vertical angles. Complementary and supplementary angles are those
angles that are formed with respect to 90 and 180 degree lines- you will see this clearly in the
lesson. Vertical angles are those angles formed when two lines intersect. Like I was saying the building
blocks of geometry are angles and lines- so as you can imagine there is a lot of properties, theorems and
postulates to learn. Please take excellent notes and practice is a must if you really want to master the
concepts.
Check when finished; also circle your level of understand for each video
___ Lesson Video
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___ Example Set A
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___ Example Set B
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___ Example Set C
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11
Ch. 2 Section 5 How to Plan and Write a Proof
(Date started_________ | Date completed ___________)
In this section I will teach you how to plan and write a proof. This will be an extremely important lesson
as most students struggle doing proofs at first. The key to becoming proficient at doing proofs is
practice- it’s as simple as that. However I made this lesson to give you a head start and structure your
approach to geometric proofs. One of the biggest things you want to take away from this lesson is the
allowable reasons you can use in a proof. What I mean is any statement you write in your proof needs to
be justified- this is the essence of deductive logic. You will see in the lesson there are 5 types of reasons
you can use to justify your statements. Some of these reasons include postulates, theorems and
properties. Hence you need to have excellent organized notes on all the theorems, postulates and
properties we have learned (and will learn) as you will need them for your proofs. Lastly you will learn
how to properly write a two column proof- one column will be statements and the other column will be
reasons.
Check when finished; also circle your level of understand for each video
___ Lesson Video
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___ Example Set A
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___ Example Set B
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___ Example Set C
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TabletClass Math Geometry Course
Copyright © 2014 TabletClass.com, LLC
12
Follow Along Guidebook Chapter 3
Chapter 3: Perpendicular and Parallel Lines, Polygons
(Date started_________ | Date completed ___________)
In this chapter students will study the relationships of perpendicular and parallel lines. Several important
properties will be covered that are essential to solve common problems in geometry. A critical section in
this chapter is dedicated to theorems that state when two or more lines are parallel. Students are also
introduced to polygons and their types.
Section Summary (circle / complete after chapter is finished):
1. Parallel Lines and Transversals
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2. Properties of Parallel and Perpendicular Lines
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3. Proving Lines Parallel
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4. Introduction to Polygons
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Post Chapter Checklist
___ Extra Practice Problem Worksheet Completed
___ Studied For Exam
Chapter Test Score______________ Date Taken_______________
Chapter Test (Retake) Score______________ Date Taken___________________
Copyright © 2014 TabletClass.com, LLC
13
Ch. 3 Section 1 Parallel Lines and Transversals
(Date started_________ | Date completed ___________)
In this section I will teach you about parallel lines and transversals. Everything we learn in geometry is
important but this lesson is “extra” important because we will be using so many of the concepts in this
lesson to learn future material. I’m pretty sure you have a good idea what parallel lines are so let’s talk
about what happens when we “chop” two parallel lines with another line. A line that “chops” or intersects
two or more parallel lines is called a transversal. The angles formed (which there are many) by the
parallel lines and a transversal is what we will be focusing on in this lesson. As such be prepared to write
down many important theorems and postulates that describe what happens with all these angle
relationships. Lastly are you reviewing your notes on previous material? You should be consistently
reviewing your geometry notes because the course builds on itself. One suggestion to help you study is
high lighting all the theorems and postulates in your notes so you can quickly identify them.
Check when finished; also circle your level of understand for each video
___ Lesson Video
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___ Example Set A
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___ Example Set B
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___ Example Set C
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Ch. 3 Section 2 Properties of Parallel and Perpendicular Lines
(Date started_________ | Date completed ___________)
In this section I will be teaching you about the properties of parallel and perpendicular lines. A word of
warning: there will be lots of theorems and postulates in the lesson so be ready to take good notes. In
the lesson I will continue to build your knowledge of parallel lines and introduce you to perpendicular
lines. You may know that perpendicular lines are those lines that are formed when two lines meet at
right angles- i.e. the angle formed is 90 degrees. As I will show you in the lesson there are some pretty
cool features about perpendicular lines that you need to know. I want to continue to stress that in
geometry we do proofs and you will be expected to recall all previous theorems, postulates and
properties. Now I don’t expect you to know them by memory but you should be able to quickly reference
them in your notes. As such if your notes are not well organized, complete and neat I would recommend
you take the time to rewrite them properly. Once you complete geometry you’re notes can become a
wonderful reference for you to review for tests like the SAT/ACT – so be smart and invest in developing
your note taking skills.
Check when finished; also circle your level of understand for each video
___ Lesson Video
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___ Example Set A
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___ Example Set B
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___ Example Set C
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14
Ch. 3 Section 3 Proving Lines Parallel
(Date started_________ | Date completed ___________)
In this section I will teach you how to prove if two or more lines are parallel. Now I want to be very clear
that we will focus on proving lines parallel- not if two parallel lines intersect. If you recall in my lesson on
theorems and postulates I used the fact the mathematicians have not been able to prove two parallel
lines intersect- however we assume that they don’t and we express this concept as a postulate. All we
are doing in this lesson is looking at the relationship between two lines and seeing if conditions exist such
that we can prove the lines are parallel. Make sure you watched all the previous lessons in this chapter
as we will use the properties and theorems in those lessons in our proofs. Now if you’re feeling
overwhelmed by all this take a step back and review and of course watch the videos as much as you
like. Remember we are studying pretty abstract concepts and so give yourself time to fully comprehend
new skills and knowledge.
Check when finished; also circle your level of understand for each video
___ Lesson Video
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___ Example Set A
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___ Example Set B
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___ Example Set C
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Ch. 3 Section 4 Introduction to Polygons
(Date started_________ | Date completed ___________)
In this section I will introduce you to polygons. You may already have a good idea what a polygon is so
let’s build upon what you already may know. A polygon is a closed figure that has multiple sides that are
line segments. The first polygon you know is the triangle- it has 3 sides and the figure is closed. Can
you think what we call a 4 sided polygon? Yes you are correct it’s called a quadrilateral. However we
have all different types of quadrilaterals to include squares, rectangles and rhombuses. As you can
imagine our study of polygons will be vast and central to the topic of geometry. Please take great notes
as you will be learning a lot of theorems, postulates and properties about various polygons. In later
chapters we will investigate the details of two specific polygons- triangles and quadrilaterals. Enjoy the
lesson and keep working hard!
Check when finished; also circle your level of understand for each video
___ Lesson Video
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___ Example Set A
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___ Example Set B
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___ Example Set C
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___ Example Set D
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15
TabletClass Math Geometry Course
Follow Along Guidebook Chapter 4
Chapter 4: Congruent Triangles
(Date started_________ | Date completed ___________)
Congruency is a core concept in geometry. Students will learn the concept of congruency by studying the
properties of congruent triangles. After an introduction to congruent figures students will focus on
learning to prove triangles are congruent using the SSS, SAS, ASA, AAS and HL Theorems.
Section Summary (circle / complete after chapter is finished):
1. Congruent Figures
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2. Proving Congruent Triangles: Side-Side-Side and Side-Angle-Side Theorem
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3. Proving Congruent Triangles: Angle-Side-Angle and Angle-Angle-Side Theorem
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4. Proving Congruent Triangles: Hypotenuse-Leg Theorem
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Post Chapter Checklist
___ Extra Practice Problem Worksheet Completed
___ Studied For Exam
Chapter Test Score______________ Date Taken_______________
Chapter Test (Retake) Score______________ Date Taken___________________
Copyright © 2014 TabletClass.com, LLC
16
Ch. 4 Section 1 Congruent Figures
(Date started_________ | Date completed ___________)
In this section I will teach you about congruent figures. The concept of congruence is extremely
important in geometry and we will focus our attention on it in this chapter. When two figures have the
exact same shape and size we describe them as being congruent. For example exact copies of a toy car
would be congruent because they have the same shape and size. There is a concept in geometry for
figures that have the same shape but a different size- we call this concept similarity and we will be
studying it as well. One of the most important concepts you will learn in the lesson is corresponding
parts of congruent figures are congruent- much more about this in the video. Lastly this lesson will be
the foundation of many important triangle theorems that you must master so take excellent notes!
Check when finished; also circle your level of understand for each video
___ Lesson Video
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___ Example Set A
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___ Example Set B
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Ch. 4 Section 2 Proving Congruent Triangles: Side-Side-Side and Side-Angle-Side Theorem
(Date started_________ | Date completed ___________)
In this section I will teach how to prove two triangles congruent by the SSS and SAS theorems. The SSS
theorem stands for Side-Side-Side and the SAS theorem stands for Side-Angle-Side. Now the sides and
angles we are talking about are those of two triangles we are trying to prove congruent. Hence if two
triangles have the exact side lengths (all sides) then we can use the SSS theorem to conclude they are
congruent. Likewise if two triangles have two sides and an angle that are the same measure we can use
the SAS to prove them congruent. In this lesson we are focusing on “proving” so we will be doing
proofs. As such you may want to review your notes on how to plan and write a proof or watch the video
lesson on this topic over again.
Check when finished; also circle your level of understand for each video
___ Lesson Video
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___ Example Set A
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___ Example Set B
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17
Ch. 4 Section 3 Proving Congruent Triangles: Angle-Side-Angle and Angle-Angle-Side Theorem
(Date started_________ | Date completed ___________)
In this section I will teach you the ASA (Angle-Side-Angle) and AAS (Angle-Angle-Side) theorems for
proving triangles congruent. The ASA theorem states that two triangles are congruent if there is a
corresponding angle, side and angle measures that are equal. Likewise the AAS theorem states two
triangles are congruent if they have an equal corresponding angle, angle and side measure. Of course
the video will demonstrate the theorems more clearly so you need to watch the lesson to fully master the
concepts. Keep in mind that most of theorems in this chapter have to do with “proving” two triangles
congruent. As such the key skill you need to master about these theorems is writing proofs. As I stated
in previous lessons you need to really work hard on proof writing- it’s not easy. Math is about problem
solving and critical thinking and writing proofs is an excellent way to develop these important aptitudes.
Check when finished; also circle your level of understand for each video
___ Lesson Video
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___ Example Set A
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___ Example Set B
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Ch. 4 Section 4 Proving Congruent Triangles: Hypotenuse-Leg Theorem
(Date started_________ | Date completed ___________)
In this section I will teach you the Hypotenuse-Leg theorem for proving triangles congruent. This is a
nice special case theorem for congruent triangles. As the name implies we can prove two triangles
congruent if they have hypotenuses (longest leg of a triangle) and another corresponding side
congruent. Now what makes the HL theorem a special case theorem is it only applies to triangles that
are RIGHT- i.e. one of the angles is 90 degrees. Assuming you have watched all the other lessons in
this chapter you know we have many theorems to prove triangles congruent. Just a quick review these
theorems are the SSS, SAS, ASA, AAS and now finally the HL theorem. Don’t think anyone method or
theorem is better than another. You need to master all the congruent triangle theorems as it will give you
more problem solving “tools” in geometry. Please continue to focus on taking well organized notes and
practice is a must. Quick question: could you easily identify all the postulates and theorems you have
learned in the course so far? If not be smart and get your notes organized the effort will pay off.
Check when finished; also circle your level of understand for each video
___ Lesson Video
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___ Example Set A
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___ Example Set B
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TabletClass Math Geometry Course
Copyright © 2014 TabletClass.com, LLC
18
Follow Along Guidebook Chapter 5
Chapter 5: Properties of Triangles
(Date started_________ | Date completed ___________)
In this chapter students will learn the various properties of triangles. Several definitions and theorems will
be introduced about the medians, altitudes and bisectors of triangles. In addition the chapter has an
important section on the inequalities found in triangles between sides and angles.
Section Summary (circle / complete after chapter is finished):
1. Medians, Altitudes and Bisectors
totally understand | kind of understand | not understanding
2. Bisector Theorems
totally understand | kind of understand | not understanding
3. Triangle Inequalities
totally understand | kind of understand | not understanding
Post Chapter Checklist
___ Extra Practice Problem Worksheet Completed
___ Studied For Exam
Chapter Test Score______________ Date Taken_______________
Chapter Test (Retake) Score______________ Date Taken___________________
Copyright © 2014 TabletClass.com, LLC
19
Ch. 5 Section 1 Medians, Altitudes and Bisectors
(Date started_________ | Date completed ___________)
In this section I will teach you about medians, altitudes and bisectors. All of these topics are a detailed
look into triangles. As I will show you in the lesson triangles have some very interesting properties of
which you need to master. One of the skills that you want to focus on in this lesson is the construction of
a figure. What I mean by the word “construction” is your ability to draw an accurate sketch that shows
medians, altitudes and bisectors. I would suggest that you have a compass, protractor and ruler to help
you with your drawings. Measuring and drawing triangle properties on paper will make you understand
the theorems much better- it’s also a great learning experience. However before you can construct these
figures you need to have a clear definition what medians, altitudes and bisectors are. Make sure you
taking excellent notes as these terms have exact definitions that you need to fully comprehend.
Check when finished; also circle your level of understand for each video
___ Lesson Video
totally understand | kind of understand | not understanding
___ Example Set A
totally understand | kind of understand | not understanding
___ Example Set B
totally understand | kind of understand | not understanding
Ch. 5 Section 2 Bisector Theorems
(Date started_________ | Date completed ___________)
In this section I will be teaching you about bisector theorems. As I suggested in the previous lesson you
really want to make constructions of these triangle theorems as it’s a great way to experience the
concepts in real life. My lesson will explore angle and perpendicular bisectors theorems. Just as the
name implies an angle bisector is a ray that “bisects” or cuts an angle measure in half. For example, the
angle bisectors of a 60 degree angle would cut and form two 30 degree angles- you will see this clearly
demonstrated in the lesson. Now a perpendicular bisector “cuts” a line segment in half. The key concept
about a perpendicular bisector is that it bisects another line “perpendicularly” meaning at a right angle (90
degrees). If you’re a little confused don’t worry the video will show this much more clearly. As I was
saying, don’t forget to create constructions on the theorems and properties we cover- it’s a great way to
understand and retain the concepts. Lastly keep reviewing your notes as geometry builds on
itself. Have you done any algebra problems lately? You should- remember there is algebra and
geometry and you should be reviewing algebra as well.
Check when finished; also circle your level of understand for each video
___ Lesson Video
totally understand | kind of understand | not understanding
___ Example Set A
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___ Example Set B
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Copyright © 2014 TabletClass.com, LLC
20
Ch. 5 Section 3 Triangle Inequalities
(Date started_________ | Date completed ___________)
In this section I will teach you about triangle inequalities. I find the triangle inequality theorems to be very
interesting and of course I hope you do as well. Basically, triangle inequalities look at the relationship
between angles and sides of triangles. There is a triangle inequality theorem that relates the measure of
all the angles in a triangle and another theorem that relates the sides of a triangle. Now I won’t give too
much away about the theorems before the video however I will say that you definitely want to practice
this topic. I have seen more than a few SAT/ACT problems that relate to the triangle inequalities so
make sure you learn them well. The good news is the theorems are pretty straight forward and easy to
understand. Nevertheless the only way you will be able to master the concepts is by
practicing. Question: are you using pen or pencil when doing math? Please use pencil it’s just a much
easier way of keeping your work neat. Good luck and enjoy the video.
Check when finished; also circle your level of understand for each video
___ Lesson Video
totally understand | kind of understand | not understanding
___ Example Set A
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___ Example Set B
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___ Example Set C
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Copyright © 2014 TabletClass.com, LLC
21
TabletClass Math Geometry Course
Follow Along Guidebook Chapter 6
Chapter 6: Quadrilaterals
(Date started_________ | Date completed ___________)
In this chapter students will learn the various properties and type of quadrilaterals. The first two sections
focus on the properties of parallelograms to include proving a quadrilateral is a parallelogram. Next
additional sections look in-depth at trapezoids, special quadrilaterals to include the rhombus and
theorems involving midpoints in quadrilaterals and triangles.
Section Summary (circle / complete after chapter is finished):
1. Parallelograms
totally understand | kind of understand | not understanding
2. Proving Quadrilaterals are Parallelograms
totally understand | kind of understand | not understanding
3. Trapezoids
totally understand | kind of understand | not understanding
4. Special Quadrilaterals
totally understand | kind of understand | not understanding
5. Quadrilaterals, Triangles and Midpoints
totally understand | kind of understand | not understanding
Post Chapter Checklist
___ Extra Practice Problem Worksheet Completed
___ Studied For Exam
Chapter Test Score______________ Date Taken_______________
Chapter Test (Retake) Score______________ Date Taken___________________
Copyright © 2014 TabletClass.com, LLC
22
Ch. 6 Section 1 Parallelograms
(Date started_________ | Date completed ___________)
In this section I will teach you about parallelograms. As we study this chapter we will focus on various
types of quadrilaterals and one of the most common types of quadrilaterals is the parallelogram. Most
students have a good idea on what a parallelogram looks like. However, I would imagine that many
students would struggle to give an exact definition of what a parallelogram is- could you define a
parallelogram exactly? Of course if you don’t really remember what a parallelogram is don’t worry I will
cover lots of details about parallelograms in the lesson. Also make sure you are ready to take notes as I
will be giving you many theorems on the sides, angles and diagonals of a parallelogram. Like I was
saying we will be studying many different types of quadrilaterals in this chapter and the material builds on
itself so be prepared.
Check when finished; also circle your level of understand for each video
___ Lesson Video
totally understand | kind of understand | not understanding
___ Example Set A
totally understand | kind of understand | not understanding
___ Example Set B
totally understand | kind of understand | not understanding
Ch. 6 Section 2 Proving Quadrilaterals are Parallelograms
(Date started_________ | Date completed ___________)
In this section I will teach you how to prove a quadrilateral is a parallelogram. Not every quadrilateral is a
parallelogram so it’s important to for you to know how to identify and prove when a quadrilateral is in fact
a parallelogram. Now why would you care if a quadrilateral is or is not a parallelogram? Well one good
reason is that once we know a figure is a parallelogram we know a lot about it’s properties and this
information can really help us solve problems. Hence you want to know methods of proving a
quadrilateral is a parallelogram and that’s our focus in this lesson. As you will see in the video we will be
using lots of theorems to prove a quadrilateral is a parallelogram. The basic idea is you will look at a
quadrilateral and see if it matches the properties of a parallelogram- if it does than you can prove the
quadrilateral to be a parallelogram. Don’t forget the lessons on how to plan and write a proof as it will
help you a lot with this topic.
Check when finished; also circle your level of understand for each video
___ Lesson Video
totally understand | kind of understand | not understanding
___ Example Set A
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___ Example Set B
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___ Example Set C
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Copyright © 2014 TabletClass.com, LLC
23
Ch. 6 Section 3 Trapezoids
(Date started_________ | Date completed ___________)
In this section I will teach you about trapezoids. A trapezoid is a special type of quadrilateral. Just like a
parallelogram is a special quadrilateral so is the trapezoid. This lesson will focus entirely what makes a
trapezoid unique. As you will see in the video the trapezoid is a little more complex than a
parallelogram. Hence you want to take your time with the lesson so you understand the parts and terms
related to a trapezoid. It’s easy for a student to get all the various quadrilateral theorems and properties
confused so make sure your notes are well organized and clear. Quick pop quiz: do you know the
difference between a parallelogram and a trapezoid? Well if you said a trapezoid only has one pair of
parallel sides where a parallelogram has both pairs of opposite sides parallel you would be correct. Also,
the area formulas for a parallelogram and trapezoid are much different. Like I was saying trapezoids
have more aspects than parallelograms so pay attention to the details. Don’t forget to keep reviewing
algebra- you will see algebra used in many geometry problems so keep your skills sharp.
Check when finished; also circle your level of understand for each video
___ Lesson Video
totally understand | kind of understand | not understanding
___ Example Set A
totally understand | kind of understand | not understanding
___ Example Set B
totally understand | kind of understand | not understanding
Ch. 6 Section 4 Special Quadrilaterals
(Date started_________ | Date completed ___________)
In this section I will teach you about special quadrilaterals. If you have been watching the lessons in this
chapter in order you know that we have explored parallelograms and trapezoids- both very common
types of quadrilaterals. In this lesson we will look at other special quadrilaterals to include the rectangle,
square and something called a rhombus. All the figures I just mentioned are a part of the quadrilateral
family and quadrilaterals are a type of polygon- confused? Well it can be confusing if you’re not taking
great notes and reviewing previous lessons. In geometry there are so many theorems, postulates,
definitions and properties that seem similar but in fact they are not- it’s easy for anyone to mix concepts
up so be careful. The way to successfully master all the material is by taking neat and organized notes
and then practice, practice, practice. Remember, you will see geometry again especially if you plan on
going to college as the SAT/ACT tests are filled with geometry questions. Keep working hard and never
give up!
Check when finished; also circle your level of understand for each video
___ Lesson Video
totally understand | kind of understand | not understanding
___ Example Set A
totally understand | kind of understand | not understanding
___ Example Set B
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___ Example Set C
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Copyright © 2014 TabletClass.com, LLC
24
Ch. 6 Section 5 Quadrilaterals, Triangles and Midpoints
(Date started_________ | Date completed ___________)
In this section I will teach you more about quadrilaterals, triangles and there midpoints. As you can tell
there is a lot of information you need to learn about quadrilaterals and triangles and each theorem and
property is important. Hence you need to remain focused on all the details I explain in the video and
ensure you are taking great notes. One of the things I will talk about in the lesson is what happens when
a transversal (a line) intersects parallel lines- especially if the transversal is cut into congruent
segments. Also, I will get into what a midpoint of a triangle is and the relationship it forms with the sides
of a triangle. If you have been going through the lessons in this course in order you already have
increased your knowledge of triangles significantly. Additionally you know a lot of powerful theorems
about parallel lines and various quadrilaterals. But as you will see in future lessons we have a lot more
to learn about these and other topics so stay excited and practice as much as you can.
Check when finished; also circle your level of understand for each video
___ Lesson Video
totally understand | kind of understand | not understanding
___ Example Set A
totally understand | kind of understand | not understanding
___ Example Set B
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___ Example Set C
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Copyright © 2014 TabletClass.com, LLC
25
TabletClass Math Geometry Course
Follow Along Guidebook Chapter 7
Chapter 7: Similarity
(Date started_________ | Date completed ___________)
Similarity is a core geometric relationship. To solve most similar polygon problems students need to have
the algebra skills to solve ratios and proportions, hence this is the first section in the chapter. The
remaining sections focus on similar polygon problem solving and the properties and theorems of similar
triangles.
Section Summary (circle / complete after chapter is finished):
1. Ratios and Proportions
totally understand | kind of understand | not understanding
2. Similar Polygons
totally understand | kind of understand | not understanding
3. Similar Triangles
totally understand | kind of understand | not understanding
Post Chapter Checklist
___ Extra Practice Problem Worksheet Completed
___ Studied For Exam
Chapter Test Score______________ Date Taken_______________
Chapter Test (Retake) Score______________ Date Taken___________________
Copyright © 2014 TabletClass.com, LLC
26
Ch. 7 Section 1 Ratios and Proportions
(Date started_________ | Date completed ___________)
In this section I will teach you about ratios and proportions. Because you did great in algebra you should
already be a master at ratios and proportions- but if you’re a little unsure don’t worry I will review the topic
completely. Let’s remember that ratios and rates are just fractions. What makes them unique is that
ratios and rates are fractions that use numbers with units of measure. Example 1/3 is a fraction however
1 teacher / 3 students is a ratio. Now a proportion is an equation of two equal ratios or rates- i.e. an
equation of two equal fractions. The primary way we solve a proportion is by using something called the
“cross-product”. As you might already know you need to have great algebra skills to do well with ratios
and proportions. I will be reviewing a good amount of the algebra skills you need in the lesson but if you
need more help please go back and review ratios and proportions in your algebra notes. One thing that
will be new to most students in this lesson is the property of ratios- this is usually not taught in Algebra 1
but you need to know it. I can’t stress how important it is for you to be able to solve ratio and proportion
problems as this will be the primary skill you will need for many more lessons. Good luck!
Check when finished; also circle your level of understand for each video
___ Lesson Video
totally understand | kind of understand | not understanding
___ Example Set A
totally understand | kind of understand | not understanding
___ Example Set B
totally understand | kind of understand | not understanding
___ Example Set C
totally understand | kind of understand | not understanding
Ch. 7 Section 2 Similar Polygons
(Date started_________ | Date completed ___________)
In this section I will be teaching you about similar polygons. Similarity is a big topic in geometry so let’s
go ahead and give you a basic definition- two figures are similar if they have the same exact shape but
not the same size. Think of a figure and a copy of a figure that has been “zoomed out or zoomed
in”. The two figures would have exactly the same shape but different size/ lengths. One of the main
concepts about similar figures is that there corresponding sides are in proportion. As such ratios and
proportions are a core skill you must master to do well in this chapter. Many students confuse congruent
figures and similar figures. Just a quick review- two congruent figures have the exact shape and size
where two similar figures only have the exact shape but a different size. Please ensure that you have
watched the lesson on ratios and proportions and have mastered how to set up ratios and solve
proportion problems. Lastly make sure your notes are well organized and you practice everything we go
over in the lesson.
Check when finished; also circle your level of understand for each video
___ Lesson Video
totally understand | kind of understand | not understanding
___ Example Set A
totally understand | kind of understand | not understanding
___ Example Set B
totally understand | kind of understand | not understanding
___ Example Set C
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Copyright © 2014 TabletClass.com, LLC
27
Ch. 7 Section 3 Similar Triangles
(Date started_________ | Date completed ___________)
In this section I will teach you many important theorems and postulates about similar triangles. The
concepts I’m going to teach you require focus and concentration and are confusing to many
students. Hence I suggest watching the video more than once just to ensure you understand all the
theorems and postulates I cover. Some of these will be the AA Similarity Postulate, the SAS and SSS
Similarity Theorems along with the Triangle Proportionality and Angle Bisector Theorems. Wow! I know
it’s a lot of material so take your time and work hard to master each concept. Please keep in mind that
each one of these postulates and theorems are important and you can’t “skip” learning a topic by just
“glancing” at it to get a general idea. You need to practice, practice, and practice because this stuff is not
that easy to fully comprehend. Also ensure you have watched the other lessons in this chapter before
this one- especially the lesson on ratios and proportions. If you have a great attitude and really apply
yourself you can ace this lesson.
Check when finished; also circle your level of understand for each video
___ Lesson Video
totally understand | kind of understand | not understanding
___ Example Set A
totally understand | kind of understand | not understanding
___ Example Set B
totally understand | kind of understand | not understanding
___ Example Set C
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___ Example Set D
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Copyright © 2014 TabletClass.com, LLC
28
TabletClass Math Geometry Course
Follow Along Guidebook Chapter 8
Chapter 8: Transformations
(Date started_________ | Date completed ___________)
In this chapter students will learn to apply transformations to images. Sections in the chapter focus on the
transformations of reflections, rotations, dilations, translations and glide reflections. An emphasis is
placed on developing the skills to construct the graphs of transformations found in common geometry
problems.
Section Summary (circle / complete after chapter is finished):
1. Reflections
totally understand | kind of understand | not understanding
2. Rotations and Dilations
totally understand | kind of understand | not understanding
3. Translations and Glide Reflections
totally understand | kind of understand | not understanding
Post Chapter Checklist
___ Extra Practice Problem Worksheet Completed
___ Studied For Exam
Chapter Test Score______________ Date Taken_______________
Chapter Test (Retake) Score______________ Date Taken___________________
Copyright © 2014 TabletClass.com, LLC
29
Ch. 8 Section 1 Reflections
(Date started_________ | Date completed ___________)
In this section I will teach you about transformations and reflections. You can think of a transformation as
taking the shape of a figure and moving it somewhere else on the x/y plane. The term we use for moving
a figure is called “mapping” so a transformation is a where we map a figure to a different place on the x/y
plane. What I just told you is a basic explanation of a transformation and there is a lot more to
understand. One type of transformation is a reflection. Of course when we use the word reflection we
think of a mirror. Now if you think about it a mirror image is an image that has been moved to another
location- from the actual spot to a projected spot. The function of projecting an image to another place is
the essence of what transformations are about. So after we learn about reflections we will look at other
transformations in the next few lessons. Lastly you want to use graph paper and a ruler for this section
as it involves lots of drawing. Pop quiz: can you solve a quadratic equation? Don’t forget to keep doing
a little algebra review as you study geometry.
Check when finished; also circle your level of understand for each video
___ Lesson Video
totally understand | kind of understand | not understanding
___ Example Set A
totally understand | kind of understand | not understanding
___ Example Set B
totally understand | kind of understand | not understanding
___ Example Set C
totally understand | kind of understand | not understanding
Ch. 8 Section 2 Rotations and Dilations
(Date started_________ | Date completed ___________)
In this section I will teach you about rotations and dilations. Before you watch this video please ensure
that you have watched the previous lesson on reflections. Rotations and dilations are types of
transformations. As you know the first type of transformation we studied was the reflection. In this
lesson we will continue our focus on transformations with rotations and dilations. A rotation is basically
taking a figure and moving it clockwise or counterclockwise around a point. We use degrees to indicate
a rotation so you may want to have a protractor for this lesson. A dilation is another type of
transformation and it’s a little more involved. What a dilation does is project a figure- like casting a
shadow. For example think of a small figure being projected into a larger similar figure- this is a
dilaltion. Of course the video will demonstrate these concepts much better. As always keep your notes
nice and organized and practice as much as you can.
Check when finished; also circle your level of understand for each video
___ Lesson Video
totally understand | kind of understand | not understanding
___ Example Set A
totally understand | kind of understand | not understanding
___ Example Set B
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___ Example Set C
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Copyright © 2014 TabletClass.com, LLC
30
Ch. 8 Section 3 Translations and Glide Reflections
(Date started_________ | Date completed ___________)
In this section I will teach you about translations and glide reflections. Assuming you have watched the
previous lessons in this chapter you know we are studying transformations. Recall a transformation is a
mapping of a figure to another location. In the previous lessons we have looked at the transformations of
reflections, rotations and dilations. Now we will explore another type of transformation called a
translation. Wow I know the words “transformation” and “translation” are very similar so make sure to not
to confuse the two. Ok what is a translation? Well a translation is a simple transformation such that we
move a figure up or down or side to side. A glide reflection is a transformation where we first do a
translation- then a reflection. Confused? Don’t stress, the video will show this very clearly and I’m sure
you will understand. As in the other lessons you want to have graph paper and a ruler to practice the
concepts. How do you like geometry so far? If you have watched and understood all the lessons to this
point in the course you have a lot to be proud of- great work!
Check when finished; also circle your level of understand for each video
___ Lesson Video
totally understand | kind of understand | not understanding
___ Example Set A
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___ Example Set B
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___ Example Set C
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Copyright © 2014 TabletClass.com, LLC
31
TabletClass Math Geometry Course
Follow Along Guidebook Chapter 9
Chapter 9: Right Triangles and Trigonometry
(Date started_________ | Date completed ___________)
In this chapter students will learn a wide array of concepts about right triangles. Sections in the chapter
look at similar right triangles, the Pythagorean Theorem and special right triangles. For most students the
section on trigonometry will be their first introduction to the topic. The chapter ends on a section that
applies right triangle trigonometry to solving word problems.
Section Summary (circle / complete after chapter is finished):
1. Similar Right Triangles
totally understand | kind of understand | not understanding
2. The Pythagorean Theorem
totally understand | kind of understand | not understanding
3. Special Right Triangles
totally understand | kind of understand | not understanding
4. Trigonometric Ratios
totally understand | kind of understand | not understanding
5. Right Triangle Word Problems
totally understand | kind of understand | not understanding
Post Chapter Checklist
___ Extra Practice Problem Worksheet Completed
___ Studied For Exam
Chapter Test Score______________ Date Taken_______________
Chapter Test (Retake) Score______________ Date Taken___________________
Copyright © 2014 TabletClass.com, LLC
32
Ch. 9 Section 1 Similar Right Triangles
(Date started_________ | Date completed ___________)
In this section I will teach you about similar right triangles. To master this topic you need to have a
complete understanding of ratios and proportions- so please review if you need to before starting this
video. The main concept in this lesson is that in every right triangle you can form 3 similar
triangles. First let me stress that this theorem only applies to right triangles- those triangles that have a
90 degree angle. Next let’s make sure you understand the term “similar” – remember similar figures are
those that have the exact same shape but a different size. The key point I want to stress is
corresponding sides of similar figures are in proportion and we will be setting up a lot of ratios and
proportions all through this lesson. You need to take your time with lesson and review the video at least
once. In my experience many students struggle with this topic so you need to work hard at mastering
it. As always take neat and organized notes and practice is a must for this lesson. Good luck!
Check when finished; also circle your level of understand for each video
___ Lesson Video
totally understand | kind of understand | not understanding
___ Example Set A
totally understand | kind of understand | not understanding
___ Example Set B
totally understand | kind of understand | not understanding
___ Example Set C
totally understand | kind of understand | not understanding
Ch. 9 Section 2 The Pythagorean Theorem
(Date started_________ | Date completed ___________)
In this section I will teach you the Pythagorean Theorem. I can’t overstate how important the
Pythagorean Theorem is to all mathematics. The theorem provides much of the foundation of the study
of geometry and trigonometry. Basically the Pythagorean Theorem gives us a way to find the lengths of
right triangles. So many other theorems and formulas are based on the Pythagorean Theorem so you
need to master it completely. As you will see in the lesson the theorem uses powers and square roots so
having a calculator to work problems is suggested. Once you’re done with the lesson you want to
practice as many different type of problems you can- the earlier you master the formula the better.
Check when finished; also circle your level of understand for each video
___ Lesson Video
totally understand | kind of understand | not understanding
___ Example Set A
totally understand | kind of understand | not understanding
___ Example Set B
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___ Example Set C
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Copyright © 2014 TabletClass.com, LLC
33
Ch. 9 Section 3 Special Right Triangles
(Date started_________ | Date completed ___________)
In this section I will teach you about special right triangles. We will focus on two special right trianglesthe 45-45-90 degree special right triangle and the 30-60-90 degree special right triangle. I will be
teaching you formulas that we can use to find the lengths of the sides of these special right
triangles. These formulas are extremely important for you to learn. If you plan on going to college you
will have to take the SAT or ACT test. I mention this because special right triangle problems are very
common on these and other tests- trust me you need to master the skills in this lesson. Basically the
formulas for special right triangles are ratios of the lengths of the sides of the triangle. Once you
understand how the formulas work it’s very easy to find the measure of all the sides of a special right
triangle. Also because we are talking about right triangles you can use the Pythagorean Theorem as well
to solve problems.
Check when finished; also circle your level of understand for each video
___ Lesson Video
totally understand | kind of understand | not understanding
___ Example Set A
totally understand | kind of understand | not understanding
___ Example Set B
totally understand | kind of understand | not understanding
___ Example Set C
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Ch. 9 Section 4 Trigonometric Ratios
(Date started_________ | Date completed ___________)
In this section I will teach you about trigonometric ratios. However for the most part you can think of this
lesson as an introduction to trigonometry. I love trigonometry because it has so many practical
applications and it combines algebra and geometry. Of course you may already know that trigonometry
is its own subject and you we will be studying it in lots more detail if you continue your math
education. One of the primary things I will be teaching you in the lesson is trigonometric ratios. Before I
can teach you about these ratios I need to stress that trigonometry is based on right triangles. A
trigonometric ratio is when we compare two sides of a right triangle forming a ratio. These ratios have
names such as “sine, cosine and tangent” and they have dedicated functions on a scientific/graphing
calculator. I hope you’re excited about this lesson as you will learn some pretty powerful math. Also
please ensure you have a scientific calculator you we need it for practice. Good luck and enjoy the
video!
Check when finished; also circle your level of understand for each video
___ Lesson Video
totally understand | kind of understand | not understanding
___ Example Set A
totally understand | kind of understand | not understanding
___ Example Set B
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___ Example Set C
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___ Example Set D
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Copyright © 2014 TabletClass.com, LLC
34
Ch. 9 Section 5 Right Triangle Word Problems
(Date started_________ | Date completed ___________)
In this section I will teach you how to solve right triangle word problems. Now just to be clear there is no
one exact procedure you can take to solve every word problem- there is however some general steps we
want to follow to ensure success. Right triangle word problems will involve the use of trigonometric ratios
and the Pythagorean theorem. As such you want to review these topics and make sure you know them
well before watching this lesson. One of the smartest things you can do in solving any word problem is
draw a sketch that models the problem. You don’t have to draw a perfect picture for your sketch to have
value. As long as you model the information in the problem in a neat and organized visual way then you
will be one big step closer to solving the problem. As I said you will using trigonometric ratios to solve
right triangle word problems so make sure you have a good scientific calculator. Lastly I can’t stress how
important it is to practice as many problems as you can- it’s the only way you can guarantee you have
mastered the skills and concepts
Check when finished; also circle your level of understand for each video
___ Lesson Video
totally understand | kind of understand | not understanding
___ Example Set A
totally understand | kind of understand | not understanding
___ Example Set B
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___ Example Set C
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Copyright © 2014 TabletClass.com, LLC
35
TabletClass Math Geometry Course
Follow Along Guidebook Chapter 10
Chapter 10: Circles
(Date started_________ | Date completed ___________)
In this chapter students will learn the important properties and relationships found in circles. First,
students will learn the parts of a circle and understand the properties of a tangent line. Additional
sections will explore key theorems about arcs, chords and inscribed circles. Lastly, the chapter looks at
other angle and segment relationships found in circles.
Section Summary (circle / complete after chapter is finished):
1. Introduction to Circles and Tangents
totally understand | kind of understand | not understanding
2. Arcs and Chords
totally understand | kind of understand | not understanding
3. Inscribed Circles
totally understand | kind of understand | not understanding
4. Other Angle Relationships in Circles
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5. Segment Lengths and Circles
totally understand | kind of understand | not understanding
Post Chapter Checklist
___ Extra Practice Problem Worksheet Completed
___ Studied For Exam
Chapter Test Score______________ Date Taken_______________
Chapter Test (Retake) Score______________ Date Taken___________________
Copyright © 2014 TabletClass.com, LLC
36
Ch. 10 Section 1 Introduction to Circles and Tangents
(Date started_________ | Date completed ___________)
In this section I will introduce you to circles and tangents. As you know this entire chapter is dedicated to
circles so before we explore all the wonderful properties about circles we first need to gain a strong
foundation about them. With this in mind we will first focus on the parts of a circle to include the radius,
diameter, circumference, chords and tangents. I’m sure you have studied circles at some level so
hopefully some of these topics will be a review. Circles are a big part of geometry so you really need to
take excellent notes in this chapter. I would also suggest you get a compass to help you draw neat
circles for your notes or practice. Circle problems are common on tests like the SAT/ACT so don’t ignore
any of the topics in the chapter.
Check when finished; also circle your level of understand for each video
___ Lesson Video
totally understand | kind of understand | not understanding
___ Example Set A
totally understand | kind of understand | not understanding
___ Example Set B
totally understand | kind of understand | not understanding
___ Example Set C
totally understand | kind of understand | not understanding
Ch. 10 Section 2 Arcs and Chords
(Date started_________ | Date completed ___________)
In this section I will be teaching you about arcs and chords. There is a good amount of information I will
be giving you in the lesson so be ready to take detailed notes. An arc is a part of the outer edge of a
circle and we measure it in terms of degrees. Recall that a circle has 360 degrees and a semi-circle is
180 degrees. Some of the terms we will associate with arcs are “major” and “minor” arcs- make sure
you understand the difference. Now a chord is a line segment that connects two points on the edge of
the circle. The largest chord of a circle is called the diameter however we will be studying all types of
chords. As with most other lessons I will be giving you a number of theorems about arcs and chords all
of which are important. Also make sure to check your calculator and ensure it’s angle function is in
degree mode not radians. There is another way we can measure angles that is called “radians” and if
your calculator is not set on degrees you could generate wrong answers.
Check when finished; also circle your level of understand for each video
___ Lesson Video
totally understand | kind of understand | not understanding
___ Example Set A
totally understand | kind of understand | not understanding
___ Example Set B
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___ Example Set C
totally understand | kind of understand | not understanding
Copyright © 2014 TabletClass.com, LLC
37
Ch. 10 Section 3 Inscribed Circles
(Date started_________ | Date completed ___________)
In this section I will teach you about inscribed angles in a circle. An inscribed angle is an angle that is
formed inside a circle and ends at an arc. As such we will be taking about angle and arc measures in
terms of degrees. I will be giving you some very important theorems so make sure you’re up to excellent
note taking. You may notice that algebra is “creeping” more and more into our lessons- as you will see in
the formulas I will be giving you for inscribed angles. Please go back and review your algebra as you will
need core algebra skills in geometry like solving equations. Also I will continue to stress that circle
problems like inscribed angles are all over exams like the SAT/ ACT- so you must practice everything I
teach you. At this point in the course you have learned a lot and maybe you feel a little
overwhelmed. The key to staying positive is constant review and practice- math takes time to learn so be
patient, work hard and good things will happen. Enjoy the lesson!
Check when finished; also circle your level of understand for each video
___ Lesson Video
totally understand | kind of understand | not understanding
___ Example Set A
totally understand | kind of understand | not understanding
___ Example Set B
totally understand | kind of understand | not understanding
___ Example Set C
totally understand | kind of understand | not understanding
Ch. 10 Section 4 Other Angle Relationships in Circles
(Date started_________ | Date completed ___________)
In this section I will be teaching you about other angle relationships in circles. These “other angle
relationships” I’m talking about are those angles formed that are not inscribed angles. Of course I
assume you watched the lesson on inscribed angles if not please watch it before this lesson. Ok these
other angles are formed by two chords or sometime tangents and chords that cut through a circle. As
you will see in the video there are quite a few different ways we can form these angles. As with
inscribed angles we will be looking at these other angles in terms of angles and arc measure. Many
students find the formulas a little confusing so you need to really focus and make sure you are using the
correct formula for the problem you trying to solve. It should come as no surprise that we will be using
algebra to help us solve these problems so review algebra as much as you can especially equation
solving. How are your notes? Complete, neat and organized? I can tell you from many years of
teaching that top students almost always have great notes- keep developing excellent study habits the
investment will pay off big.
Check when finished; also circle your level of understand for each video
___ Lesson Video
totally understand | kind of understand | not understanding
___ Example Set A
totally understand | kind of understand | not understanding
___ Example Set B
totally understand | kind of understand | not understanding
___ Example Set C
totally understand | kind of understand | not understanding
___ Example Set D
totally understand | kind of understand | not understanding
Copyright © 2014 TabletClass.com, LLC
38
Ch. 10 Section 5 Segment Lengths and Circles
(Date started_________ | Date completed ___________)
In this section I will be teaching you about segment lengths in circles. The previous lessons in this
chapter were focused on angle and arc measure but in this section we will be focusing on lengths. Now
the lengths we will be studying will be those of chords, secants and tangents. Like the previous lesson
on other angles in circles there will be many formulas you will need to know. Also the formulas are easy
to confuse so you must be really careful on your selection of a formula for a problem. Additionally we will
be using algebra equations to solve problems- so never feel bad if you need to review your algebra skills
before a lesson.
Check when finished; also circle your level of understand for each video
___ Lesson Video
totally understand | kind of understand | not understanding
___ Example Set A
totally understand | kind of understand | not understanding
___ Example Set B
totally understand | kind of understand | not understanding
___ Example Set C
totally understand | kind of understand | not understanding
Copyright © 2014 TabletClass.com, LLC
39
TabletClass Math Geometry Course
Follow Along Guidebook Chapter 11
Chapter 11: Area and Volume
(Date started_________ | Date completed ___________)
In this chapter students will learn how to find the area, surface area and volume of various geometric
figures. Sections will explain the formulas to find area, surface area and volume of figures to include
cubes, circles, cylinders, prisms, pyramids and others shapes. An entire section explains how to find the
area of regular polygons. Lastly, students will learn how to find the area of sectors and arc lengths found
in circles.
Section Summary (circle / complete after chapter is finished):
1. Area of Basic Figures
totally understand | kind of understand | not understanding
2. Surface Area of Basic Figures
totally understand | kind of understand | not understanding
3. Volume of Basic Figures
totally understand | kind of understand | not understanding
4. Area of Regular Polygons
totally understand | kind of understand | not understanding
5. Area of Circles/Sectors and Arc Length
totally understand | kind of understand | not understanding
Post Chapter Checklist
___ Extra Practice Problem Worksheet Completed
___ Studied For Exam
Chapter Test Score______________ Date Taken_______________
Chapter Test (Retake) Score______________ Date Taken___________________
Copyright © 2014 TabletClass.com, LLC
40
Ch. 11 Section 1 Area of Basic Figures
(Date started_________ | Date completed ___________)
In this section I will go over the area formulas for basic figures. The key thing to keep in mind when
you’re doing area and volume problems is to use the proper units of measure. Also feel free to use a
calculator to keep your solutions accurate. When using a formula you will need to understand how to
identify the correct values to plug into the variables. Moreover once you’re values are all plugged-in you
need to know how to simplify the remaining numeric expression by using the order of operations. Finding
the area of a basic figure is not hard if you use the right formula and units of measure. Lastly take good
notes as we will be going over lots of formulas.
Check when finished; also circle your level of understand for each video
___ Lesson Video
totally understand | kind of understand | not understanding
___ Example Set A
totally understand | kind of understand | not understanding
___ Example Set B
totally understand | kind of understand | not understanding
___ Example Set C
totally understand | kind of understand | not understanding
Ch. 11 Section 2 Surface Area of Basic Figures
(Date started_________ | Date completed ___________)
In this section I will teach you how to find the surface area of basic figures. Surface area has the same
units of measure as area however the concept is a little different. One way to think of surface area is the
amount of wrapping paper it would take to cover a box. Unlike basic area, surface area “covers” a basic
figure in a 3 dimensional manner. As in other area topics we will be using formulas so take good notes
and feel free to use a calculator. Also you should try to sketch the shapes of these figures when you
practice as a drawing is always useful when modeling and solving a problem. Of course it’s not enough
to just watch the lesson- you need to practice as much as you can as these basic geometry problems
are everywhere in math and on common exams like the SAT and GED.
Check when finished; also circle your level of understand for each video
___ Lesson Video
totally understand | kind of understand | not understanding
___ Example Set A
totally understand | kind of understand | not understanding
___ Example Set B
totally understand | kind of understand | not understanding
___ Example Set C
totally understand | kind of understand | not understanding
Copyright © 2014 TabletClass.com, LLC
41
Ch. 11 Section 3 Volume of Basic Figures
(Date started_________ | Date completed ___________)
In this section I will teach you how to find the volume of basic figures. Just to be clear volume is much
different than area and surface area. Let’s look at a shoe box to help us make the differences clear. If
you wanted to put a card board insert into the bottom of the box – that would be an example of
area. Now if you wanted to wrap up the box as a gift, the amount of wrapping paper to accomplish this
would be surface area. Finally if you wanted to know how much water you could put inside the box – this
would be volume. As in other lessons on area we will be using lots of formulas. Hence make sure you
understand what all the variables of the formulas stand for and keep a close eye on units of
measure. One last thing, make sure to use a calculator as there will be lots of number crunching in
volume problems.
Check when finished; also circle your level of understand for each video
___ Lesson Video
totally understand | kind of understand | not understanding
___ Example Set A
totally understand | kind of understand | not understanding
___ Example Set B
totally understand | kind of understand | not understanding
___ Example Set C
totally understand | kind of understand | not understanding
Ch. 11 Section 4 Area of Regular Polygons
(Date started_________ | Date completed ___________)
In this section I will teach you how to find the area of a regular polygon. Basically there is a simple
formula we follow to find the area of a regular polygon and it’s not that difficult. However the key in all
formulas is to know what the variables of the formula represent. So to properly use the area formula we
need to understand the parts of a regular polygon- I’ll wait until the video to get into this. Do you
remember what a regular polygon is? No problem- a regular polygon is simply a polygon that has equal
sides and angles. As such we classify these types of polygons as special polygons and have the ability
to apply a simple formula to find there area. I find that when students make mistakes with formulas it’s
because they did not plug in the values correctly, did the wrong order of operations or simply made an
arithmetic mistake when simplifying the expression. My point is setting up the formula for the area of a
regular polygon is step 1- the second equally important next step is to use your algebra skills to calculate
the correct answer. Good luck and enjoy the video. Are you still taking great notes?
Check when finished; also circle your level of understand for each video
___ Lesson Video
totally understand | kind of understand | not understanding
___ Example Set A
totally understand | kind of understand | not understanding
___ Example Set B
totally understand | kind of understand | not understanding
___ Example Set C
totally understand | kind of understand | not understanding
Copyright © 2014 TabletClass.com, LLC
42
Ch. 11 Section 5 Area of Circles/Sectors and Arc Length
(Date started_________ | Date completed ___________)
In this section I will teach you about the area of a circle, sectors and arc length. Of course it should go
without saying that you want to take excellent notes as there is lots of formulas we will explore. Did you
ever learn how to find the area of a circle? I assume most of you have used the formula
to find the
area of a circle- if not no problem I will cover this in the lesson. Ok let’s give you a quick definition of a
few key terms in this lesson. Circumference is the distance around a circle- think of it as the “perimeter”
of the circle. Sometimes we only want to find a partial distance around a circle- for example a semicircle. These “partial circumferences” are called arc lengths. Now let’s apply the same concept to the
area of a circle. The partial area of a circle (think of a slice of pizza) is called a sector. Make sure you
have a good calculator for this lesson as we will be doing a lot of “number crunching”. Lastly I can’t stress
how important it is to practice these formulas if you really want to master the skills- and trust me you
do. Wow! You have learned so much geometry in this chapter and the entire course. This is the final
lesson of the course and I want to congratulate you if you finished the entire course- you are an amazing
student! I wish you all the best and thank you for being my student!
Check when finished; also circle your level of understand for each video
___ Lesson Video
totally understand | kind of understand | not understanding
___ Example Set A
totally understand | kind of understand | not understanding
___ Example Set B
totally understand | kind of understand | not understanding
___ Example Set C
totally understand | kind of understand | not understanding
___ Example Set D
totally understand | kind of understand | not understanding
Copyright © 2014 TabletClass.com, LLC
43
TabletClass Math Geometry Course Final Exam Directions
Important: Read Over Instructions Before Administering Final Exam
(Date of exam_________ | Raw Score _______ | Percent Score_________)
Extremely Important / Must Read:
The purpose of this final exam is to measure a student’s comprehension in the core material covered in
the course. The final exam is designed for only those students that have fully taken and completed the
TabletClass Math Geometry course. As such students should have watched all or most of the videos and
completed the section exercises. Moreover students should have studied and taken each chapter test
and corrected any errors as the final exam will not be easy. The final exam results can be used to help
parents or teachers construct a final grade. There is a suggested grade worksheet (included) to help you
calculate a final course grade. Please note that TabletClass Math does not issue certified or accredited
grades/ transcripts however we do provide parents and teachers with the course materials to issue a
grade certified by them.
Pre-Final Checklist:
____ Student has fully completed the videos and exercises in each chapter.
____ Student has taken each chapter test, reviewed their test results and video-self assessments
to improve weak areas.
____ Inform student that the final exam questions will cover each chapter so they need to manage their
time so they can review all course topics.
____ Student has reviewed all notes and materials for at least 1 week before taking final exam.
____ Parent/ teacher has established a testing location that will be quiet and controlled for at least
2 hours; also the exam time should be at an optimal part of the day for most students this
would be mid-morning or early afternoon.
____ Students have made their exam note card on a 3 x 5 inch index card- they can write
anything they want on each side; however they only get to use 1 index card on the exam;
examples of things that should be on the card would include procedures and formulas.
Final Exam Proctor Instructions:
1.
Exam time will be 2 hours (allow an extra 30min for students that require instructional modification
due to a special need); 50 questions / all questions will be multiple choice.
2. Issue student scrap paper- no work should be written on the exam.
3. Students may use a calculator, including a graphing calculator; no cell phones, pencil not pen.
4. Students should use their 3 x 5 inch index card notes for the exam- although it’s not required it is
highly recommended.
5. Students should use the bathroom before the exam. The proctor (parent/ teacher) should discourage
bathroom breaks and ensure test integrity is being maintained at all times.
6. Keep students informed of the time remaining; every half hour, then every 5 min in the last 15min of
exam.
7. Do not accept an exam early- ensure student uses all their time to review their answers.
8. Stress the importance of managing time and completing all questions.
9. There is no penalty for incorrect answers; hence guessing should be encouraged as a last option as
students don’t want to leave any questions blank.
10. The proctor will read the exam directions (on the exam) before giving the exam to student.
Copyright © 2014 TabletClass.com, LLC
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.
TabletClass Math Geometry Course Final Exam
50 Questions / 2 Hours to Complete
Directions (to be read aloud by proctor):
You are about the take the final exam for TabletClass Geometry. There are 50 multiple choice questions
to be completed in 2 hours. You should answer the questions to the best of your ability by thinking about
a selection before you make it. You may use your calculator, scrap paper and note index card for all
questions. Do not rush the exam. Make sure you manage your time to complete all questions- incorrect
answers will not be penalized. Remember that each question is designed to test your understanding of
the material so don’t select a solution unless you have worked out the problem or considered all of the
multiple choice options. Some questions may appear “easy” by design so don’t be tricked into answering
the wrong aspect of the question- focus on what is being asked. Lastly you will be required to sit the
entire 2 hours, so if you finish early go back and review your work. Good luck! You may start when the
proctor gives you the exam.
Circle The Answer – all work is to be done on scrap paper
Chapter 1: Foundations for Geometry
1. A “point” in geometry is best defined as
a. A (x, y) coordinate on the x/y plane
b. A location on a 3D plane
c.
A mathematical “spot” we use in geometry
d. Points cannot be defined in geometry
2. Non-collinear points can best defined as
a. Points not on the same line
b. Points that are on the same plane
c.
Those points that are not in the first quadrant
d. None of the above
Copyright © 2014 TabletClass.com, LLC
45
3. The difference between a ray and a line segment is
a. A line segment only has collinear points where a ray does not
b. A ray does not have end points where a line segment does
c.
A ray only has one end point where a line segment has two
d. No technical difference between a ray and line segment
4. Angle ABC has a measure of 117 degrees- how is it best classified?
a. Obtuse
b. Right
c.
Acute
d. Straight
5. The difference between a postulate and theorem is
a. Postulates can be used in proofs more than theorems
b. Postulates are statements accepted without proof and theorems can be proved
c.
Postulates are statements that we can prove where theorems are accepted on faith
d. Basically a postulate and theorem are equal
Chapter 2: Reasoning and Proof
6. Which is the converse of the statement, “if it’s late at night then the kids are sleeping“
a. If it’s not late then the kids are not sleeping
b. If it’s day then the kids are awake
c.
If the kids are awake then it’s day
d. If the kids are sleeping then it’s late at night
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7. The expression below is an example of what algebra property?
a. Distributive Property
b. Symmetric Property
c.
Substitution Property
d. Transitive Property
8. What is NOT a reason you can use in a geometric deductive proof?
a. Postulates
b. Given Information
c.
Theorems
d. Estimations
9. Angles A and B are complementary- find the values of A and B.
a.
b.
c.
d. None of the above
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Chapter 3: Perpendicular and Parallel Lines, Polygons
10. In the figure below which type of angles are 3 and 6?
a. Vertical angles
b. Same side interior angles
c.
Alternate interior angles
d. Corresponding angles
11. Given the two parallel lines and transversal find the value of x and y
a.
b.
c.
d.
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12. Lines can be proven parallel by showing
a. There are alternate interior angles
b. That there are two pairs of vertical angles
c.
Corresponding angles are congruent
d. Same side interior angles are equal to 90 degrees
13. A regular polygon has an interior angle sum of 1080 degrees. How many sides does it have?
a. 12
b. 14
c.
9
d. 8
Chapter 4: Congruent Triangles
14. Determine the corresponding part of AB in triangle EFG- the two triangles are congruent.
a.
EF
b.
FG
c.
EG
d. There is no corresponding part
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15. Corresponding parts of congruent figures are___________
a.
Similar
b.
Congruent
c.
Non-collinear
d.
Parallel
16. Find the value of x
a.
b.
c.
d.
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17. Determine if the two triangles can be proved congruent.
a. No
b. Yes
c.
Not enough information
d. Can never be proved congruent
Chapter 5: Properties of Triangles
18. What is the median of the triangle below?
a. BD
b. AC
c.
DA
d. CB
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19. The bisector of an angle is the ray that divides the angle into _____________
a. Two equal lengths
b. Perpendicular angles
c. Two congruent adjacent angles
d. None of the above
20. Which set of values below could NOT be the sides of a triangle?
a. 3, 4, 5
b. 4, 6, 9
c.
13, 12, 11
d. 14, 8, 5
21. Which side of the triangle has the smallest length?
a. AC
b. AB
c.
BC
d. AB = BC
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Chapter 6: Quadrilaterals
22. The figure below is a parallelogram – find the values of x and y
a.
b.
c.
d.
23. Determine if the quadrilateral is a parallelogram? Select the answer with the best justification.
a. Yes, the diagonals bisect each other
b. No, there is no proof that the sides are parallel to each other
c.
Yes, alternate interior angles are congruent
d. Not enough information to determine if the shape is a parallelogram
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24. The figure below is a trapezoid and it’s median- find the value of x.
a.
b.
c.
d.
25. The diagonals of a rhombus________________
a. Perpendicular
b. Similar
c.
Congruent
d. Parallel
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26. Given M is the midpoint of BC, find the values of x and y (hint: you will need to set up and solve a
system of equations)
a.
b.
c.
d.
Chapter 7: Similarity
27. Similarity is different than congruence in what way?
a. Similar figures can only be polygons where congruent figures can by any shape
b. Congruent figures have the same size and shape where similar figures only have the same shape
c.
In geometry, similar and congruent figures are essentially the same
d. None of the above
28. Two polygons are similar if they have:
a. Respective sides and angles that are congruent
b. Corresponding angles that are congruent and corresponding sides that are in proportion
c.
Respective hypotenuse and legs that are congruent
d. Corresponding sides and angles are collinear
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29. Find the value of x in the proportion
a.
b.
c.
d.
30. The polygons are similar- find the value of x
a.
b.
c.
d. Not enough given information to solve
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31. Are the triangles below similar? If so justify your response by a postulate or theorem
a. Not enough information to determine
b. No, the triangles are not similar
c.
Yes, SSS Theorem
d. Yes, AA Similarity Postulate
Chapter 8: Transformations
32. A transformation is best described as
a. Type of graphing method
b. When numbers are plugged into variables
c.
A one-to-one mapping
d. An inverse function
33. Which point represents the reflection of (1, 7) over the x-axis?
a.
b.
c.
d.
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34. What is the coordinate of the point (2, 8) rotated 180 degrees clockwise?
a.
b.
c.
d.
35. For a dilation to be an expansion the scale factor has to be_________
a. Zero
b. Equal to 1
c.
Less than 1
d. Greater than 1
Chapter 9: Right Triangles and Trigonometry
36. Find the value of x similar right triangle
a.
b.
c.
d.
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37. Given the right triangle find the value of x
a.
b.
c.
d.
38. Find the values of x and y
a.
b.
c.
d.
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39. The sin trigonometric ratio is defined as the ____________
a. The adjacent over hypotenuse
b. The hypotenuse over the adjacent
c.
The opposite over the hypotenuse
d. The opposite over the adjacent
40. The measure from the ground to the top of a telephone pole has an angle of elevation
. If you
are 100 feet away from the base of the pole when you took this observation how tall is the pole?
a.
b.
c.
d.
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Chapter 10: Circles
41. The diameter of a circle is best defined as ______________
a. The secant of the circle
b. The longest chord in the circle
c.
d. None of the above
42. Find the value of x given that lines are tangent to the circle from point P.
a.
b.
c.
d.
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43. What is the measure of arc XY?
a.
b.
c.
d.
44. The chords are inscribed in the circle- find the value of x
a.
b.
c.
d.
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45. The segment lengths are inscribed in the circle-find the value of x
a.
b.
c.
d.
Chapter 11: Area and Volume
46. Find the area of the circle (assume pi = 3.14)
Radius = 3 inches
a.
b.
c.
d.
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47. Find the surface area of the cube
4 ft.
ft.cm
4 ft.
a.
4 ft.
b.
c.
d.
48. Find the volume of the cylinder (assume pi = 3.14)
Diameter =8
cm
a.
Height =12 cm
b.
c.
d.
49. Find the area of a regular polygon given the following.
Side = 5 in
Number of sides= 10
Apothem =
a.
b.
c.
d.
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50. Find the arc length of the 60 degree arc below
a.
b.
c.
d.
End of Exam
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TabletClass Math Geometry Course Final Exam Key
Raw score:_________ (how many questions answered correctly)
Percentage score:___________% ( (Raw score / 50) X 100 )
Answer Key
1. d
14. a
26. c
38. a
2. a
15. b
27. b
39. c
3. c
16. c
28. b
40. d
4. a
17. b
29. a
41. b
5. b
18. a
30. c
42. c
6. d
19. c
31. d
43. a
7. b
20. d
32. c
44. c
8. d
21. c
33. b
45. b
9. a
22. b
34. a
46. b
10. c
23. a
35. d
47. c
11. b
24. d
36. b
48. a
12. c
25. a
37. c
49. d
13. d
50. a
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TabletClass Math Geometry Course Calculation Grade Sheet
Grade Worksheet (example next page):
Take the final exam test percent test score and multiply it by .20
enter the result it in the box to the right
Part A
Final Exam
Score
Average all chapter tests ( add up all test chapter test percentage
scores / 11 ) take the average chapter test score and multiply it by
.60 and enter it in the box to the right
Part B
Chapter
Tests
Part C
Example
Sets /
Course
Exercises
Part D
Notebook
Student completion of Example Set exercise. If student has
completed all examples set problems in the course give maximum
score of 15%; if student has not completed all course work issue a
percent grade between 0% - 15% that reflects their performance.
Enter the percent grade in the box to the right
Quality of student notes. If the student maintained neat, organized
high quality notes through the course give them a maximum score
of 5%. If notes are deficient issue a percent grade between 0% 5% that reflects their performance. Enter the percent grade in the
box to the right
Final Course Grade= Part A + Part B + Part C + Part D = ____________________
Parent / Teacher: when completing the course certificate you can issue a
percentage grade or “pass / fail” – below is our recommended grade scale
A+
(97%-100%)
B
(83%-86%)
C-
(70%-72%)
A
(92%-96%)
B-
(80%-82%)
D
(60%-69%)
A-
(90%-91%)
C+
(77%-79%)
B+
(87%-89%)
C
(73%-76%)
Copyright © 2014 TabletClass.com, LLC
59% or less fails
67
** Grade Worksheet Example **
Part A
Take the final exam test percent test score and multiply it by .20
enter the results in the box to the right
Final Exam
Score
student gets 86% of final exam; 86 x .20 = 17.2
Part B
Average all chapter tests ( add up all test chapter test percentage
scores / 11 ) take the average chapter test score and multiply it by
.60 and enter it in the box to the right
Chapter
Tests
student’s chapter test average is 90%; 90 x .60= 54
Part C
Example
Sets /
Course
Exercises
Part D
Notebook
17.2
Student completion of Example Set exercise. If student has
completed all examples set problems in the course give maximum
score of 15%; if student has not completed all course work issue a
percent grade between 0% - 15% that reflects their performance.
Enter the percent grade in the box to the right
54
Student
completed
most of the
Exercises
12%
Quality of student notes. If the student maintained neat, organized
high quality notes through the course give them a maximum score
of 5%. If notes are deficient issue a percent grade between 0% 5% that reflects their performance. Enter the percent grade in the
box to the right
(17.2) + (54) + (12)
Student’s
course notes
are excellent
5%
+ (5) = 88.2% as final grade
Final Course Grade= Part A + Part B + Part C + Part D = 88.2% /Pass/ B+
Parent / Teacher: when completing the course certificate you can issue a
percentage grade or “pass / fail” – below is our recommended grade scale
A+
(97%-100%)
B
(83%-86%)
C-
(70%-72%)
A
(92%-96%)
B-
(80%-82%)
D
(60%-69%)
A-
(90%-91%)
C+
(77%-79%)
B+
(87%-89%)
C
(73%-76%)
Copyright © 2014 TabletClass.com, LLC
59% or less fails
68
Geometry Course Pacing Guidelines
Below are the recommend pacing guidelines for the course. Based on your goals/ needs you can select
a certain pace. Unless you have a specific reason to have a slow or accelerated pace the average
course track is recommend. Nevertheless you should be flexible in your approach to complete the
course so changing from one pace to another is acceptable if it benefits the student. Parents/teachers
should carefully consider the below criteria before starting or changing a learning track.
Slower Pace (11 – 14 months): This pace is suggested for a child that is younger than normal for this
course (under 14 years old). Also this pace is excellent for those students that have special
needs/reasons that suggest they will need longer to complete the course.
Average Pace (8 – 10 months): This is the pace that is recommended for most students that are grade
th
th
and age appropriate for the course (9 – 11 grade/ 14 – 17 years old). On average the majority of
students can finish the course within this time line.
Accelerated Pace (5 – 7 months): This pace is for the student that wants to aggressively complete the
course. As such accelerated or gifted students may use this track. Also students that have taken the
course before and are reviewing the material would be good candidates for this pace. Caution: only
students with a very strong track record in math should use this pace.
How Much To Do Each Day: Use the course workbook and the guidelines below to plan for your
month/week. The weekly goals will translate into your daily lesson objectives. All students should work
on the course (lessons/exercises) 5 days/week for about 45min – 1.5hr (longer per day for the
accelerated pace).
MUST READ: The student should complete the following chapters in the respective months. Parents
and teachers should not feel they must strictly follow the exact pace as the tracks are general guidelines.
Hence feel free to make minor adjustments with the goal of finishing the course within the suggested
time frame. Lastly, parents/teachers should plan for about 4 weeks of breaks during the course timeline
as well.
** algebra skills are needed to successfully complete geometry; some algebra review is done at the end
of each chapter however parents/teachers may need to extend algebra review if the student needs it. **
Month
Slower Pace
Average Pace
Accelerated Pace
does not
include
breaks
11-14 months
8 – 10 months
5 – 7 months
Month 1
Month 2
Month 3
Month 4
Month 5
Month 6
Month 7
Month 8
Month 9
Month 10
Month 11
Month 12
Month 13
Ch.1
Ch.2
Ch.3
Ch.4
Ch.5
Review Ch. 1-5
Ch.6
Ch.7
Ch.8
Ch.9
Ch.10
Ch.11
Review/Final
Ch.1, Ch. 2
Ch.3, Ch. 4
Ch.4 cont., Ch. 5
Ch.5 cont., Review Ch. 1-5
Ch.6
Ch.7, Ch. 8
Ch.9
Ch.10
Ch.11, Review/Final
Copyright © 2014 TabletClass.com, LLC
Ch.1, Ch. 2
Ch.3, Ch. 4
Ch.5, Ch. 6
Ch.7, Ch. 8
Ch.9, Ch. 10
Ch. 11, Review/ Final
69
TabletClass Math Course Completion Certificate
___________________________________
(print name of student)
Has Successfully Completed The Following Course:
Geometry
Final Grade:______________
Certified By (print/sign):_________________________________________________ Date:__________________
Title of Person Certified:____________________________________
School / Homeschool:______________________________________
Teacher / Parent:__________________________________________
Note: This course completion document and grade is not certified or issued from TabletClass.com, LLC