Geometry  The Basics & Beyond
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The demand for my basics course was so high, I decided to expand it and charge a small fee for the extra time and effort for pulling these lectures and external resources together. The first expansion includes explanation and practice for about a quarter of the Common Core standards. Specifically it includes all the “Congruence” standards which encompasses the new focus on transformations as well as a lot of traditional two column proofs. Eventually I hope to make it to make it through all of the Common Core standards  either here or in other courses.
THE BASICS  The original Course:
Having taught Geometry for almost a decade, I've learned that one of the biggest challenges is simply the vocabulary. This first (and original) section is a very broad overview of Geometry and the language that it uses. If you've never heard this vocabulary, this will introduce it. If you have, this will reinforce it and put it into context.
Said another way there are a few different kinds of students who would benefit from this section:
Some of the vocabulary and concepts discussed are used in every day conversations, whereas others are specialized and not usually found in everyday conversation (I'm looking at you, hypotenuse!). Some of these terms SHOULD be familiar while others will not be. The course also includes a lot outside resources to practice as well as Udemystyle quizzes.
There's an old joke about what you remember from a college course five years after you've taken it. For Economics, it's supply and demand. For Chemistry, it's the periodic table is the organization of the elements. For English Composition, it's always start with an outline. This limited course is along those same lines: it will give you the general feeling for topics in Geometry without many of the details.
The first section could be watched in one sitting if you don't do any of the exercises. A better way to take it would be to target one day for a week to watch one video (less than 10 minutes) and then spending 20 minutes after each lecture to explore the additional material that's included.
SECTION 2  Common Core Congruence Standards
First, a word about Common Core. IF you live in a state that has rigorous Mathematical Standards, Common Core is simply a nationalized version of a variation of what has been taught over the last 20 years. It stresses some new topics and ignores some traditional stuff, but it’s simply a road map for a GIANT TOPIC. In 180 school days, only so much can be learned about any given field  these standards attempt to point out what’s important and what’s not: Both in general and related to what will be on State/National assessment tests.
There are 13 standards related to “Congruence” in the New Common Core and this section explains (at varying levels of depth in it’s first iteration) all of them. I attacked this first because it had transformations in it and it was the one topic I knew I would have to do a fair amount of research on before I could teach it.
This section is primarily for students:
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Section 1: Geometry  The Basics  

Lecture 1  01:04  
A goofy welcome video filmed long after most of the content. 

Lecture 2  05:49  
What you'll learn: What is and isn't a polygon? How to draw a 13gon. Name the shapes for these clues: The Military Building in Washington DC The shape of most nuts (of nuts and bolts, not nuts and squirrels) The 1980 movie where Chuck Norris kicks butt (of course, he always kicks butt) Rambling Teacher Thoughts: Having taught Geometry for almost a decade, I've learned that one of the biggest challenges is simply the vocabulary. Some of the vocabulary is used daily, whereas others are specialized and not usually found in everyday conversation (I'm looking at you, hypotenuse!). This lectur introduces one of common intro lessons found in most Geometry books. Some of these terms SHOULD be familiar while others will not be. I'm including some outside resources to practice. If a term is confusing... Well, you're on the internet, look it up  someone else probably has a slightly different explanation that will probably fit into your existing knowledge base! 

Quiz 1  3 questions  
Just making sure you were paying attention to the first lecture. 

Lecture 3  09:13  
What you'll learn: What is perimeter? How is perimeter different from area? What's the perimeter and area of a 4 cm by 10 cm rectangle? What's the perimeter of a shape that has sides that are length of 3, 6, 4, 7, and 2? What's the area of a triangle that has a height of 3 and a base of 8? Rambling Teacher Thoughts:Measuring length, calculating perimeter, and calculating area are practical skills that everyone should have. There's no substitute for practice here and I'll include a bunch of practice links for the problems above and much harder ones (like kites and trapezoids). 

Quiz 2 
Area and Perimeter: Are you spreading over or walking around?

3 questions  
Lecture 4  06:36  
What you'll learn: How are radius and diameter related? What is pi? What's the formula for area of a circle? Rambling Teacher Thoughts: The circle is a magical figure. Every point along the circle is exactly the same distance from the center. All circles are similar  that is, they are all resized variations of every other circle. If you take any segment and draw an identical size circle using each endpoint as a center, the resulting intersections are endpoints for a second segment which bisects the original segment. I know that sounds likely gobbledygook, but it's true! There's an external link the practices some circle vocabulary coming up later but you need to learn how to name angles first. 

Quiz 3 
Circles!

4 questions  
Lecture 5  06:06  
This link offers some practice calculating the area and perimeter of squares, rectangles, triangles, kites, trapezoids, and parallelograms. The video explains the feedback interface as well as talks about a couple of the shapes that have not yet been discussed such as kites, trapezoids, and parallelograms. If you want even FURTHER explanation about perimeter and area as well as some unusual quizzes. See the link to some other videos I did for my classes. 

Lecture 6  07:08  
What you'll learn: Defining the undefinable: Points, lines, and planes. The inhabitants of Flatland: Segments and three classes of triangles
Hard to spell words like Scalene, Isosceles, and Equilateral
Symbols for naming segments, lines, and rays.
Rambling Teacher Thoughts: Points, Lines, and Planes are the undefined terms that are the building blocks of geometry. Flatland by Edwin Abbott is a fun little novella that explores this in detail as well as sets up a really interesting analogy for talking about the fourth dimension. 

Quiz 4 
Trying to drive home a Point...

3 questions  
Lecture 7  03:09  
A short motivational speech about how to raise your game to the next level. The top 5 RESEARCH PROVEN EFFECTIVE** strategies for teaching (and thus learning) are as follows. Which ones work best for you? Which ones might you want to try more? 1) Identifying similarities and differences 2) Summarizing and Note Taking 3) Reinforcing Effort and Providing Recognition* 4) Homework and Practice 5) Nonlinguistic Representations (PICTURES!) As a selfmotivated lifelong learner, you need to have some "goto" strategies as well as might want to mix things up from time to time. *Does this seem odd to do for yourself? Positive selftalk is one of the best things you can do  why wait for someone else to tell you that you worked hard and got better at something? **Kudos to R. Marzano et al for their awesome book "Classroom Instruction that Works" 

Lecture 8  07:53  
What you'll learn: Cubic measure is how much space something takes up Analogy  Perimeter:area :: Surface Area : volume
Analogy  Right Prisms:Rectangles :: Pyramids:Triangles
Metaphor: A cone is when a circle and a pyramid have a baby.
Hard Cold Fact: Circles and Spheres have formulas  memorize circle, find out if sphere is on the test Rambling Teacher Thoughts: This briefly talks about 3D and Volume and then encourages you to look at these external links which have more tutorials and videos that I created. Visual Volume and Surface Area Surface Area and Volume Practice 

Lecture 9  08:27  
What you'll learn: What makes an angle? What are degrees? How many degrees are in a straight line and a right angle? What are the classifications of angles?How does one use a protractor? Rambling Teacher Thoughts:Angles and degrees are used a lot in every day life. 45 and 90 degree angles come up all the time. They are the 1/4 and 1/2 of the angle world. Protractors are useful tools for certain situations but, not being an architect, rarely use one. For more fun interactive practice see this protractor practice link. After watching the intro, try the "Up to 180 degrees in 10s". With this exercise, I'd suggest using the protractor a few times and then just estimating. You should be able to get most angles with only two guesses. 

Lecture 10  08:22  
What you'll learn: Exactly how to line up a protractor on the paper.The classifications of angles. How to figure out an angle in a linear pair or a complementary pair. Rambling Teacher Thoughts: Blah blah blah blah. I actual rambled enough in the last description. The promised circle vocabulary quiz. Hints for link. A Tangent is a line that crosses a circle at exactly one point. (Get two close, touch two points, Your a secant!) A Major Arc is more than 180 degrees (more than half a circle) A hypotenuse is the long side of a RIGHT triangle Congruent means same size and shape WOW  that's literally about a days lecture in 4 lines!! 

Lecture 11  Article  
Just a link for practice. A lot of this was vocabulary. There's a few words we haven't covered. You can look them up or make an intelligent guess based on context (it is matching!). 

Section 2: Common Core Congruence: Transformations and Proofs  
Lecture 12  10:11  
What does it mean to be congruent? What is a transformation? What is the symbol for congruence? What are different ways that two figures might be marked congruent? 

Quiz 5  3 questions  
Most of my quizzes are fill in the blank. Since spelling and word choice matter, you may often need to decide if you got it right or wrong. Did you understand the concept but just pick the wrong word? Not sure? email me! 

Lecture 13  10:20  
CCSS.Math.Content.HSG.CO.D.12 CCSS.Math.Content.HSG.CO.D.13 ADDITIONAL RESOURCES HERE: EACH OF THE WORKSHEETS, list the pages in the book where instruction can be found. In addition you can check out these video examples: creating an equilateral triangle making congruent angles (safety compass) making congruent angles(old style) bisecting angles (safety compass) bisecting angles (old style) creating a perpendicular from a point ON the line 

Quiz 6  3 questions  
Most of my quizzes are fill in the blank. Since spelling and word choice matter, you may often need to decide if you got it right or wrong. Did you understand the concept but just pick the wrong word? Not sure? email me! 

Lecture 14  10:51  
CCSS.Math.Content.HSG.CO.A.1 CCSS.Math.Practice.MP3 Construct viable arguments and critique the reasoning of others. (Counter examples) 

Quiz 7 
Definitions Quiz

7 questions  
Lecture 15  08:27  
CCSS.Math.Content.HSG.CO.A.2 

Quiz 8 
Transformations Quiz 1

3 questions  
Lecture 16  05:01  
CCSS.Math.Content.HSG.CO.A.2 

Quiz 9 
Transformations Quiz 2

2 questions  
Lecture 17  10:16  
CCSS.Math.Content.HSG.CO.A.3 

Quiz 10 
Mapping Quiz

4 questions  
Lecture 18  09:33  
CCSS.Math.Content.HSG.CO.A.4 CCSS.Math.Content.HSG.CO.A.5 

Quiz 11 
Transformations Quiz 3

2 questions  
Lecture 19  10:27  
"Tragedy is when I cut my finger. Comedy is when you walk into an open sewer and die."  Mel Brookes CCSS.Math.Content.HSG.CO.A.5 

Quiz 12 
Transformations Quiz 4

3 questions  
Lecture 20  03:42  
CCSS.Math.Content.HSG.CO.B.6 

Lecture 21  14:51  
Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent. Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions. 

Quiz 13 
Congruence Quiz 2

7 questions  
Lecture 22  05:36  
CCSS.Math.Content.HSG.CO.C.9 

Lecture 23  03:39  
CCSS.Math.Content.HSG.CO.C.9 

Lecture 24  08:33  
CCSS.Math.Content.HSG.CO.C.9 

Quiz 14  2 questions  
Just a quick checkin. 

Lecture 25  12:43  
CCSS.Math.Content.HSG.CO.C.9 

Lecture 26  07:27  
CCSS.Math.Content.HSG.CO.C.9 

Quiz 15 
Angle Values and youknowwho!

2 questions  
Lecture 27  07:01  
Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point. 

Lecture 28  05:26  
Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point. 

Lecture 29  10:20  
Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals. ADDITIONAL RESOURCES: A Great Site if it's up and running: http://feromax.com/cgibin/ProveIt.pl?task=getproofslist Proof shown: http://www.teach4ever.net/Geometry/MedProof81.htm Four Simple Proofs: http://www.teach4ever.net/Geometry/MedProof61.htm Intro to proofs using Algebra: http://www.teach4ever.net/Geometry/MedProof0Notes.html 

Quiz 16 
Last two proofs

2 questions  
Lecture 30  07:48  
Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals. 

Section 3: Same BatShape, Different BatSize  
Lecture 31  08:11  
Standard: G.SRT.1a  Verify experimentally the properties of dilations given by a center and a scale factor: a dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged. 

Quiz 17  3 questions  
Most of my quizzes are fill in the blank. Since spelling and word choice matter, you may often need to decide if you got it right or wrong. Did you understand the concept but just pick the wrong word? Not sure? email me! 

Lecture 32  06:26  
G.SRT.A.1b Verify experimentally the properties of dilations given by a center and a scale factor: the dilation of a line segment is longer or shorter in the ratio given by the scale factor. 

Quiz 18  4 questions  
Most of my quizzes are fill in the blank. Since spelling and word choice matter, you may often need to decide if you got it right or wrong. Did you understand the concept but just pick the wrong word? Not sure? email me! 

Lecture 33  07:14  
G.SRT.2  Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides. 

Lecture 34  09:30  
G.SRT.3  Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar. The external resource attached to this lesson has some proportion practice. Only some of the questions are specifically about similar objects but all of the questions are helpful in thinking about setting up a proportion and then solving using the crossmultiplication method. Ignore the request to submit your name and student number: that's only useful for my formal classes. 

Quiz 19 
Similarity Quiz 3  Angle Angle

5 questions  
Lecture 35  10:40  
G.SRT.4  Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity. (unbolded part covered briefly in previous lesson) 

Quiz 20 
Pythagorean Proof Quiz

2 questions  
Lecture 36  07:31  
G.SRT.5  Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. 

Quiz 21 
Similar Problems Quiz

5 questions  
Lecture 37  07:43  
G.SRT.6  Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles. 

Quiz 22 
454590 and 306090 Triangle Quiz

4 questions 
Teaching is something I came to a little later in life. My first love was technology and that's what my Duke degree is in. I've kept one foot in the programming world most of my life. But several years after graduating, I realized something else was calling me and strangely discovered it was the desire to teach. I went back to school and got a Masters in Education and a Teacher Certificate  and that's what I've been doing for most of my adult life.
I've worked in the public and private sector. I've worked with students of all races and socioeconomic backgrounds. My primary subjects have been Math and Computer Science although I like to think I teach a lot about how to be a good student [We're all lifelong learners!!]. I did a year stint in Hungary as English as a Second Language teacher and an even shorter volunteer job teaching fractions to 3rd graders using my limited Bahasa in Jakarta.
I recently returned to the programming world for a change of pace but there's that tug to teach again (and all this Math knowledge slipping away!). The courses I'm providing are an attempt to feed my teaching desire, share the knowledge I've gained, and let me explore the snowballing phenomenon of MOOCs.