## Geometry Course

This is our newly revised High School Geometry Course that is aligned to the Common Core. All of the released PARCC Sample Questions are also embedded directly into the presentations. The 2014-2015 course is archived. You can get to that course by clicking this link.

Thank you to those who contribute to our ongoing cycle of improvement. Top contributors:
Suzanne Nichols-Salazar - Perth Amboy, NJ
Ruth Tocco - Haddon Heights, NJ
Angela Slaterpryce - Schroon Lake, NY

## Units (select a unit)

• ###### Points, Lines, and Planes
Intro to Geometry
Points & Lines
Planes
Congruence, Distance & Length
Constructions & Loci
• ###### Angles
Angles
Congruent Angles
Angles & Angle Addition Postulate
Protractors
Special Angle Pairs
Introduction to Proofs
Proofs Special Angles
Angle Bisectors
Locus & Angle Constructions
Angle Bisectors & Constructions
• ###### Parallel Lines
Lines: Intersecting, Parallel & Skew
Lines & Transversals
Parallel Lines & Proofs
Properties of Parallel Lines
Constructing Parallel Lines
• ###### Triangles
Triangles
Triangle Sum Theorem
Exterior Angle Theorem
Inequalities in Triangles
Similar Triangles
- AA~
- SSS~
- SAS~
• ###### Similar Triangles & Trigonometry
Problem Solving w/ Similar Triangles
Similar Triangles & Trigonometry
Trigonometric Ratios
Inverse Trigonometric Ratios
Review of the Pythagorean Theorem
Converse of the Pythagorean Theorem
Special Right Triangles
• ###### Congruent Triangles
Congruent Triangles
Proving Congruence: SSS
Proving Congruence: SAS
Proving Congruence ASA
Proving Congruence AAS
Proving Congruence HL
Triangle Congruence Proofs
CPCTC
Isosceles Triangle Theorem
• ###### Circles
Parts of a Circle
Central Angles & Arcs
Arc Length & Radians
Chords, Inscribed Angles & Triangles
Tangents & Secants
Segments and Circles
• ###### Analytic Geometry
Origin of Analytic Geometry
Distance Formula
Midpoint Formula
Partitions of a Line Segment
Slopes of Parallel & Perpendicular Lines
Eq of Parallel & Perpendicular Lines
Triangle Coordinate Proofs
Equation of a Circle & Completing the Square
• ###### Transformations
Transformations
Translations
Reflections
Rotations
Identifying Symmetry w/ Transformations
Composition of Transformations
Congruence Transformations
Dilations
Similarity Transformations
Polygons
Properties of Parallelograms
Proving Quads are Parallelograms
Rhombi, Rectangles & Squares
Trapezoids
Kites
Proofs
Coordinate Proofs
• ###### Area of Figures
Area of Rectangles
Area of Triangles
Law of Sines
Area of Parallelograms
Area of Regular Polygons
Area of Circles & Sectors
Area of Other Quadrilaterals
Area and Perimeter of Figures in the Coordinate Plane
• ###### 3D Geometry
Intro to 3-D solids
Views & Drawings of 3-D Solids
Surface Area of Prisms, Cylinders, Pyramids & Cones
Volume of Prisms Prisms, Cylinders, Pyramids & Cones
Surface Area & Volume of Spheres
Cavalieri’s Principle
Similar Solids
• ###### Probability
Probability of Simple Events
Probability & Length
Probability & Area

## Resources

Samuel Cerritos • 3 years, 6 months agologin to reply
`I truly like the new navigation map and its tabs.-Outstanding-`
Audra Crist • 3 years, 6 months agologin to reply
```Dear Mr. Cerritos,
Thank you for your kind words.  Please do not hesitate to leave additional feedback in any of our courses.
Kind regards,
Audra```
Deb Yoast • 2 years, 10 months agologin to reply
```I like the set up of the homework problem sets! :)
I was wondering, will you be doing Unit Plans for this course like the others have?
Thanks!```
Audra Crist • 2 years, 10 months agologin to reply
```Dear Ms. Yoast,

Yes, we have unit plans made in each unit.  They can be found in the "Teacher Resource" category (found w/in each unit).  Here is a link to the Unit Plan for the Parallel Lines Unit: https://njctl.org/courses/math/geometry/parallel-lines/attachments/parallel-lines-unit-plan/

Kind regards,

Audra```
Linda Gerdes • 2 years, 8 months agologin to reply
```My class has found what we believe are errors in the homework answers.  For Rotation homework, the anawer to #3c should be CD and the answer to to #CD.  Also #4a and 4c are using the wrong rule.  Correct answers for #4a we believe is (D(3,-2); E(-2,-4); F(-2,-7), G(2,-5);  Correct answer for #4c is  D(-3,2); E(2,4); F(2,7); G(-2,5).  We also believe the answer to #5 is P'(-5,-1); Q'(-4,3); R'(4,2); S'(2,-3).
Also #8 for the identifying symmetry with transformations.  If you trace the figure and try to rotate it, it does  not map onto itself.```
Audra Crist • 2 years, 8 months agologin to reply
```Dear Ms. Gerdes,

Thank you for your comment.  We will be making changes to the problems &/or answers that you mentioned within the next few business days.  I'll reply again once the updated files have been posted.

Kind regards,

Audra```
Audra Crist • 2 years, 8 months agologin to reply
```Dear Ms. Gerdes,

Thank you again for the comment that you left prior to the Thanksgiving holiday.  The CW-HW file has been changed to reflect the corrections that you mentioned, including the re-drawing of the figures in the HW section of Identifying Symmetry with Transformations to make the answers correct.

Kind regards,

Audra```
Lisa Shields • 2 years, 2 months agologin to reply
`So what app do you recommend to open the notebook in.  I want to get the correct app. `
Audra Crist • 2 years, 2 months agologin to reply
```Dear Ms. Shields,

Thank you for your comment.  Please answer the two questions below & I can provide you with more assistance:
1) What type of computer do you have?
2) What operating system does it run on?
For example, a PC can run on Windows 10 & a Mac can run on OS X El Capitan.

Kind regards,

Audra```
Alexandra Kennedy • 1 year, 12 months agologin to reply
`I have the same question about running notebook, I have a Mac and can run OS X El Capitan.`
Audra Crist • 1 year, 12 months agologin to reply
```Dear Ms. Kennedy,

Thank you for the information that you provided.  SMART Notebook for Macs that run on operating systems OS X Yosemite or later does cost money, \$129.00 per year (subscription), to be exact.  If you are still interested, please email me directly (audra@njctl.org), and I will be happy to provide you with the download & installation information.

Kind regards,

Audra```
Jill Jones • 1 year, 12 months agologin to reply
`Do you have any resources for Proofs involving parallel lines and transversals?`
Audra Crist • 1 year, 12 months agologin to reply
```Dear Ms. Jones,

Yes, Proofs for Parallel Lines & Transversals can be found in our Parallel Lines unit.  Proofs start on slide 66 in the presentation & in the corresponding topic title in the CW-HW Word document.

Kind regards,

Audra```
Deb Yoast • 1 year, 6 months agologin to reply
`On the Circles unit on the classwork/homework, #71 seems to need some more information...or am I missing something? Thanks!`
Audra Crist • 1 year, 6 months agologin to reply
```Dear Deb Yoast,

Thank you for your comments.  When you posted your original comment last week on the Circles CW-HW file page, I was training educators in Lesotho, Africa.  I found that part of the diagram for #71 was covered by the diagram in the problem directly below it.  After moving the diagrams a little, I saw the missing information, redrew the diagram, for more clarity, and uploaded the CW-HW file (date stamp of 2018-01-17). Immediately after uploading the file, I wrote a reply comment to your first message on the Circles CW-HW file page, but for some reason, it didn’t show up.  I’m guessing that the internet connection at the training site was not stable &/or strong enough which caused the comment to not be posted.  It does happen sometimes when we’re training abroad.  I apologize for not catching this issue when I tried to post my comment last week.

Kind regards,

Audra```
Deb Yoast • 1 year, 6 months agologin to reply
`No worries--thanks for getting back to me! Have a good one!`
Robyn Danza • 10 months, 2 weeks agologin to reply
`Good morning.  My school district has updated to Smart Notebook 16.2.  Now when I open the Smart Notebook presentations that you have, the response pages have changed.  The images that you use in the questions are lost (missing) so a lot of the questions cannot be answered.  Do you have a fix to this?`
Melissa Axelsson • 10 months, 1 week agologin to reply
```Robyn - Notebook version 16.0 is the last one that has the SMART response questions in the file the way you are used to seeing them. I would suggest you uninstall version 16.2 and then reinstall version 16.0. You can find the download for 16.0 at this link:
https://support.smarttech.com/en/discontinued-products#table-15
It should jump to the section for "Senteo interactive response system". This is version 16.0 for you to download.
-Melissa```