Hello everyone!   OFFICE HOURS: 7:00-2:00 M-F  Please Email me with any questions!!   whitneka@pwcs.edu

Please use this extended time off to continue reviewing our Quarter 3 material.

Please look over your materials that you were given and please try and complete any assignments that you have not completed.

Khan Academy (please see link below) is a great tool to continue practicing these types of problems that we have covered.  

Additionally, our textbook and workbooks are great resources for additional practice.  Our textbooks have great examples/solutions to guide you when you maybe unclear on a particular topic.

If there are any assignments that you have not completed.....this is a great time to work on completing those assignments.  Together......we can turn those NHI's into good scores!

Students can also find additional remediation as well as enrichment through Khan Academy: This link will take students to their Clever accounts where they can sign in with their Office 365 account to access these resources.

Students can also practice taking multiple choice quizzes to see their level of comprehension: https://education.jlab.org/solquiz/

More excellent resources here: https://www.pwcs.edu/cms/One.aspx?
portalId=340225&pageId=41506907


NEW (3/24/20)......Hey gang!.....I have added 5 Geometry reviews / worksheets with keys for additional practice.  GO TO: files and documents, you will see the PDF documents on pages 3 and 4 in the folder.  Enjoy!

NEW (3/24/20).......SOH-CAH-TOA......Right Triangle Trigonometry word problems.  Practice drawing triangle pictures. Very good instructional video: ttps://www.youtube.com/watch?v=qAl6_NL4ONo

NEW  (4/1/20)...More excellent resources right here: https://our.pwcs.edu/cms/One.aspx?portalId=1504420&pageId=3336047

NEW (4/13/20):  Please watch this excellent vido on Right Triangle Trigonometry (SOH-CAH-TOA):  https://www.youtube.com/watch?v=HAole1-hadc


And please try doing these worksheets: 

  
https://cdn.kutasoftware.com/Worksheets/Alg2/Right%20Triangle%20Trig%20Missing%20Sides%20and%20Angles.pdf


NEW (4/19/20): Please go to "Files and Documents"

Go to page 4 of the files and documents!

I have posted 5 review worksheets.......please continue practicing your Geometry skills.

Review #1: Geometry Basics, Angles and Lines
Review #2: Logic
Review #3: Relationships in Triangles, Congruent Triangles
Review #4: Similar Triangles, Trigonometry
Review #5: Transformations, Symmetry

Additionally.......I have included Solution Keys so you can check your work.

Here's a great video on Midsegments of a Triangle!: https://www.ck12.org/geometry/midsegment-theorem/lecture/Determining-Unknown-Values-Using-Properties-of-the-Midsegments-of-a-Triangle/

AND.....here's a great WS to check your comprehension:  https://cdn.kutasoftware.com/Worksheets/Geo/5-Midsegment%20of%20a%20Triangle.pdf


Here's a great video on SOH-CAH-TOA.......solving for the angle! :
https://www.youtube.com/watch?v=1c3IcsPoexw

AND....here's a little quiz to check your comprehension: https://create.kahoot.it/details/inverse-trig/db7eb7b6-ed29-4d6e-bbf4-ba7ad807867c 


Here is a great remediation video on Similarity for those doing UNIT 7 re-takes: https://www.youtube.com/watch?v=YiFwvAFk-xs





New (4/27/20): Two NEW videos on Segment Addition Postulate (Unit 1 Review)
                       AND......Angle Addition Postulate (Unit 1 Review)

Take a Look here:
 

Video #1 : https://www.youtube.com/watch?v=FMVIGRqDHbw

Video #2:  https://www.youtube.com/watch?v=iNnoQ4lOXK8


Please go to "Files and Documents".....Open the Geometry Folder......and at the top you will find 2 worksheets to check your comprehension.  They are titled: "Review of UNIT 1" and "Review of Geometry Basics".




 New (5/4/20): Great video on logic from Unit 2:   https://www.youtube.com/watch?v=TCBu8PD4Lls

Another great video: https://www.youtube.com/watch?v=4yfDM5zV6H4&feature=youtu.be


Here is a great worksheet to check your understanding:
 http://www.doe.virginia.gov/testing/solsearch/sol/math/G/m_ess_g-1.pdf


  
Here is a worksheet to practice your Algebra skills to prepare you for next year: 
https://www.lavc.edu/math/library/math112/Worksheets/lineqnvarbothsides.pdf


IMPORTANT: Please Email me with your answers and /or questions so I can provide feedback !! whitneka@pwcs.edu 





New (5/11/20): Excellent video here on Parallel and Perpendicular lines: 
https://www.youtube.com/watch?v=LTb2-LE7StE

Here is a worksheet to check your understanding: https://www.methacton.org/cms/lib/PA01000176/Centricity/Domain/1020/1.4%20ws%20-%20equ%20of%20perpendicular%20and%20parallel%20lines.pdf

I have included the solution key.......for immediate feedback!



New (5/18/20): Here are two excellent videos on Transformations and Triangle Congruence.
Video #1:
 https://www.khanacademy.org/math/basic-geo/basic-geo-transformations-congruence/transformations-intro-basic-geo/v/introduction-to-transformations
Video #2https://www.khanacademy.org/math/geometry/hs-geo-congruence/hs-geo-triangle-congruence/v/other-triangle-congruence-postulates

Here is a WS on Transformations: http://ct.avondale.k12.az.us/UserFiles/Servers/Server_147930/File/CT/Renard/Dilations%20and%20Transformations.pdf

Here is a WS on Triangle Congruence: https://www.nthurston.k12.wa.us/cms/lib/WA01001371/Centricity/Domain/2540/GeoInClass12-08-14TriangleCongruencePacket.pdf

As always.......Feel free to email me anytime with questions!!  



New (5/25/20):


Here are two great videos on Triangle Inequalities:
Video #1:
  https://www.khanacademy.org/math/geometry/hs-geo-foundations/hs-geo-polygons/v/triangle-inqequality-theorem
Video #2:  https://www.youtube.com/watch?v=I5eTOBsvUK8

Here is a great WS to check your understanding: https://www.oxfordasd.org/cms/lib/PA02218845/Centricity/Domain/748/Easy%20Triangle%20Inequalities.pdf   




New (6/1/20)
Here is a great video on Similar Triangles:
 https://www.khanacademy.org/math/geometry/hs-geo-similarity/hs-geo-triangle-similarity-intro/v/similarity-postulates

Here is a worksheet to check your understanding: http://cherylvowell.com/WORKSHEETS/SIMILARITY/worksheetsimilartriangles.pdf




Lastly.......and most importantly........DO NOT hesitate to email me (whitneka@pwcs.edu)
with any questions , comments or concerns.  I will always be available to answer your questions.  My computer is always in my pocket.

And.....one more thing......"HARD WORK.......BRINGS GOOD LUCK"!!



Geometry Map 2019-2020
Textbook: Big Ideas Math – Geometry [Virginia Edition]

**WE HAVE COVERED UP THROUGH UNIT 8**

Unit 1 – Basics of Geometry.

SOL
Textbook Section(s)
Description
**
1.1
Naming Basic Geometric Figures (Vocabulary)
** G.4a
1.2
Segment Basics: Midpoint, Segment Addition Postulate, Segment Bisectors
G.3a
1.3, 1.4
Distance and Midpoint Formulas
** G.4ef
1.5
Angle Basics: Congruent Angles, Angle Bisector, Angle Addition Postulate
**
1.6
Angle Pairs: Vertical, Complementary, Supplementary

Unit 2 - Logic

SOL
Textbook Section(s)
Description
G.1a
2.1
Conditionals (Converse, Inverse, Contrapositive, Biconditional)
G.1b
2.1
Translate verbal arguments into Symbols and Symbols into Verbal Arguments
G.1c
2.2
Inductive and Deductive Reasoning (Validity)
**
2.3, 2.4, 2.5, 2.6
Methods of Proof (Using definitions, postulates, theorems or properties)
Unit 1 Review

Unit 3 – Parallel and Perpendicular Lines

SOL
Textbook Section(s)
Description
G.2b
3.1, 3.2
Solving problems involving angles forms when parallel lines are cut by a transversal
G.2a G.4g
3.3
Proving Lines are Parallel
G.4bcd
3.4
Proving Lines are Perpendicular
G.3ab
3.5
Determine slope of a line and write the equation of parallel and perpendicular lines
Unit 1-2 Review

Unit 4 - Transformations

SOL
Textbook Section(s)
Description
G.3d
4.1 &4.2
Determining whether a figure has been translated, reflected, rotated
G.3d
4.3 & 4.5
Determining whether a figure has been translated, dilated, using coordinate methods.
G.3c
4.6
Investigating symmetry and determining whether a figure is symmetric with respect to a line or a point
Unit 1-2 Review

Unit 5 – Congruent Triangles

SOL
Textbook
Description
** Required background knowledge for later SOL Objective
Section(s)
**
5.1, 5.4
Triangle Angle/Segment Relationships
G.6
5.2, 5.3, 5.5, 5.6
Proving Triangles Congruent with Given Information marked
G.6
5.2, 5.3, 5.5, 5.6
Proving Triangles Congruent without Given Information marked
G.6
5.2, 5.3, 5.5, 5.6, 5.7, 5.8
Congruent Triangle Proofs
G.3d
4.1, 4.2, 4.3, 4.4
Congruent Transformations (Translations, Reflections, Rotations)
G.3c
4.2, 4.3
Symmetry (Line, Point, Rotational)
Unit 1-3 Review

Unit 6 – Relationships Within Triangles

SOL
Textbook Section(s)
Description
Pre-AP
6.1, 6.2
Perpendicular and Angle Bisectors in Triangles
Pre-AP
6.3, 6.4
Medians and Altitudes in Triangles (Midsegment Thm)
G.5abcd
6.5, 6.6
Finding Possible Lengths of a triangle, Order sides or angles of triangle. Hinge Them

Unit 7 – Similar Triangles

SOL
Textbook Section(s)
Description
G.14a
8.1
Similar Polygons (Working with Proportions)
G.7
8.2, 8.3
Using AA~, SAS~, SSS~
Pre-AP
8.4
Proportionality Theorems
G.3d
4.5, 4.6
Similar Transformations (Dilations)
Units 1-4 Review

Unit 8 – Right Triangles

SOL
Textbook Section(s)
Description
G.8a
9.1
Pythagorean Theorem
G.8a
9.1
Converse of the Pythagorean Theorem
G.8b
9.2
Special Right Triangles
Pre-AP
9.3
Similar Right Triangles
G.8c
9.4, 9.5
Right Triangle Trig – Solving for Sides
G.8c
9.6
Right Triangle Trig – Solving for Angles
Units 1-6 Review

Unit 9 - Polygons

SOL
Textbook Section(s)
Description
G.10abc
7.1
Angles of Polygons
G.9
7.2
Properties of Parallelograms
G.9
7.3
Proving a Quadrilateral is a Parallelogram
G.9
7.4
Properties of Special Parallelograms
G.9
7.5
Properties of Trapezoids and Kites
G.10b
7.6
Tessellations
** Required background knowledge for later SOL Objective
Units 1-7 Review

Unit 10 - Circles

SOL
Textbook Section(s)
Description
G.11a
G.4h
10.2, 10.3, 10.4, 10.5
Circle Angle Relationships
G.11b
10.1, 10.6
Circle Segment Lengths
G.12
10.7
Standard Form of Circles
G.11c
11.1, 11.2
Area and Circumference of Circles
G.11d
11.1, 11.2
Arc Length and Area of Sectors
Units 1-8 Review

Unit 11 – Surface Area and Volume

SOL
Textbook Section(s)
Description
G.13
11.5, 12.1
Surface Area and Volume of Prisms and Cylinders
G.13
11.6, 12.2, 12.3
Surface Area and Volume of Pyramids and Cones
G.13
11.7, 12.4
Surface Area and Volume of Spheres
G.14bc
11.5, 11.6, 11.7, 12.1, 12.2, 12.3, 12.4
Changing Dimensions in Solids
G.14ad
11.5, 11.6, 11.7, 12.1, 12.2, 12.3, 12.4
Similar Solids
Units 1-9 Review

** Required background knowledge for later SOL Objective

Geometry Big Ideas Chapter Titles:

1.1 ..... Points, Lines and Planes
1.2 ..... Measuring and Constructing Segments
1.3 ..... Using Midpoint and Distance Formulas
1.4 ..... Perimeter and Area in the Coordinate Plane
1.5 ..... Measuring and Constructing Angles
1.6 ..... Describing Pairs of Angles
2.1 ..... Conditional Statements
2.2 ..... Inductive and Deductive Reasoning
2.3 ..... Postulates and Diagrams
2.4 ..... Algebraic Reasoning
2.5 ..... Proving Statements about Segments and Angles
2.6 ..... Proving Geometric Relationships
3.1 ..... Pairs of Lines and Angles
3.2 ..... Parallel Lines and Transversals
3.3 ..... Proofs with Parallel Lines
3.4 ..... Proofs with Perpendicular Lines
3.5 ..... Equations of Parallel and Perpendicular Lines
4.1 ..... Translations
4.2 ..... Reflections
4.3 ..... Rotations
4.4 ..... Congruence and Transformations
4.5 ..... Dilations
4.6 ..... Similarity and Transformations
5.1 ..... Angles of Triangles
5.2 ..... Congruent Polygons
5.3 ..... Proving Triangles Congruence by SAS
5.4 ..... Equilateral and Isosceles Triangles
5.5 ..... Proving Triangles Congruence by SSS
5.6 ..... Proving Triangle Congruence by ASA and AAS
5.7 ..... Using Congruent Triangles
5.8 ..... Coordinate Proofs
6.1 ..... Perpendicular and Angle Bisectors
6.2 ..... Bisectors of Triangles
6.3 ..... Medians and Altitudes of Triangles
6.4 ..... The Triangle Midsegment Theorem
6.5 ..... Indirect Proof and Inequalities in One Triangle
6.6 ..... Inequalities in Two Triangles
7.1 ..... Angles of Polygons
7.2 ..... Properties of Parallelograms
7.3 ..... Proving that a Quadrilateral is a Parallelogram
7.4 ..... Properties of Special Parallelograms
7.5 ..... Properties of Trapezoids and Kites
7.6 ..... Tessellations
8.1 ..... Similar Polygons
8.2 ..... Proving Triangles Similar by AA
8.3 ..... Proving Triangles Similar by SSS and SAS
8.4 ..... Proportionality Theorems
9.1 ..... The Pythagorean Theorem
9.2 ..... Special Right Triangles
9.3 ..... Similarity Right Triangles
9.4 ..... The Tangent Ratio
9.5 ..... The Sine and Cosine Ratio
9.6 ..... Solving Right Triangles
10.1 ... Line and Segments that Intersect Circles
10.2 ... Finding Arc Measures
10.3 ... Using Chords
10.4 ... Inscribed Angles and Polygons
10.5 ... Angle Relationships in Circles
10.6 ... Segment Relationships in Circles
10.7 ... Circles in the Coordinate Plane
11.1 ... Circumference and Arc Length
11.2 ... Areas of Circles and Sectors
11.3 ... Areas of Polygons
11.4 ... Three-Dimensional Figures
11.5 ... Surface Area of Prisms and Cylinders
11.6 ... Surface Area of Pyramids and Cones
11.7 ... Surface Area of Spheres
12.1 ... Volume of Prisms and Cylinders
12.1 ... Volume of Pyramids
12.1 ... Volume of Cones
12.1 ... Volume of Spheres