Grade 12 Essential: Unit G – Geometry and Trigonometry
Unit G – Geometry Notes (annotated). The Unit G notes for the Unit.
Unit G YouTube Play List – A selection of supporting videos. Select ‘Play All’, sit back, interact.
Selected Assignments/Worksheets: (Due dates as per blog!)
Geometry – Review of Angles. Puzzles. Review of Angles (Assgt G- )
Extra Practice – Euclidian Geometry and Angles (Assgt G-)
Euclidian Geometry Angles – Grade 11 Review. (Assgt G- Due )
Pythagoras Rule Review . Puzzle (Grade 10 Review) (Assgt G- Due: )
Pythagoras Review (Grade 11) (Assgt G- )
Worksheet: Similar Triangles (Grade 10). Assgt G-
Grade 12 Review of Similar Triangles.
Solve Right Triangles. [Assgt G- ] Grade 10 Review. Using SOH CAH TOA to solve a right triangle. Of course these only work for Right Triangles. Page 3 Question D, the missing side is length 34.
Solve More Right Triangles. Grade 11 Review still. Not assigned, but certainly beneficial if it were done regardless!
Solve Multi-Step Triangle (Grade 11) . Solve any triangle by breaking it into two Right Triangles
Explore the Cos and Sin Laws. Use a ruler and a protractor to demonstrate the Cosine and Sine Laws
Cosine Law Worksheet. [Assgt G- ]
Cosine Law Worksheet #2
Sine Law Worksheet. [Assgt G- ]
Trigonometry Practice Questions. Answers to Trig Practice
Geometry Review. If you have not completed Grades 10 or 11 recently you will certainly want to review some of the basic Geometry Ideas from those Grades
Geometry Worksheet. A substantial practice Geometry worksheet with answers.
Polygon Practice (Assgt G- Due: )
Polygon Angle Sum. (Assgt G-Due ) The sum of the interior angles of a polygon = 180°
Polygon Central Angles. (Assgt G- Due )
Unit G-Geometry and Trigonometry Workbook. Selected questions from past exams with answers. Mini-Version of Workbook of Workbook to save paper.
Centimeter Grid Paper. Of course, all these angles and lengths and shapes could just be drawn to scale and then just measured. Drawing a problem almost always works! So if you have a sharp pencil, and a protractor, and grid paper, and a ruler, and a flat surface, you could just draw and measure most of the geometry and trigonometry problems!
Related Links
DESMOS Geometry! OMG You really need to play in DESMOS Geometry!
Prior Studies on Trigonometry. Since much of this Grade 12 Trig Unit (especially the latter half) is a complete repeat of prior Grades you might want to consult those resources.
Grade 8 Geometry; Grade 9 Geometry; Grade 9 Similar Triangles; Grade 10 Essential Trigonometry; Grade 11 Essential Trigonometry.
G-1. Sine Calculator Template. Estimate (pretty accurately!) your own Sine values graphically using this simple template. Can you figure out to make this calculate the Cosine also? Can you picture Sine and Cosine in your head now?
G-2 Triangle Congruence. Some great manipulatives to demonstrate triangle congruence
Congruent Triangles. Side-Side-Side (SSS) Congruence. Side – Angle -Side (SAS) Congruence.
Angle-Side-Angle (ASA) Congruence. Angle – Angle – Side (AAS) Congruence.
G-3 Triangle Calculators. Solve any Triangle on-Line!
Triangle Calculator. Insert any three known angles or sides, it calculates all the remaining information.
Videos: Review of Cosine and Sine Law
YouTube Movie: The Cosine Law. (also in the Unit YouTube Playlist)
YouTube Movie: The Sine Law Part 1. (also in the Unit YouTube Playlist)
YouTube Movie: The Sine Law Part 2. (also in the Unit YouTube Playlist)
G-5 Trig Practice from Prior Studies. Ok! You really do have to use this Trig Review, all the way from Grade 9, up to Grade 11. Omit pages 6 and 7 if you are doing Applied Math..
G-6 Videos. Lots of videos to explain the unit.
Basic Trig (Grade 9). Basic Trig 2 (Grade 9). Basic Trig 3 (Grade 9).
Basic Trig 5 (Grade 10). Basic Trig 6 (Grade 10).
TRIG AND GEOEMTRY GLOSSARY
| Glossary (Word of the Day) [many with manipulatives] | ||
| Angles; Angle | Corresponding Angles | |
| Central Angle ; Central Angle (2) |
Cosine Law SAS two sides, included angle |
Cosine Law SSS all 3 sides given |
| Diagonals (polygons) | Elevation Angle (and Depression) | Obtuse Triangle; or Obtuse Triangle |
| Parallel Lines | Parallelogram | |
| Polygon | Protractor | |
| Reflex Angle | ||
| Similar Triangles | Sine Law | Trig Ratios (SOH CAH TOA) |
G-9 Supplemental Worksheets
Angle Pair Relationships; Information in Geometric Diagrams;
Parallel Lines and Transversals; Triangle Inequality Theorem;
Triangles and Congruence; SSS and SAS Congruence;
ASA and AAS Congruence; SSS, SAS, ASA, AAS Congruence
Similar Triangles; Similar Right Triangles; Right Triangle Conguence;
Trig Ratios; Inverse Trig Ratios; Solving Right Triangles;
Pythagorean Theorem and Its Converse.
Right Triangle Trig (finding missing sides or angles);
The Sine Law; The Cosine Law.