2018 Grade 11 Enriched Outline (MCR3U6)

Unit 3: Trigonometry

Pink topics are pure enrichment topics

Yellow topics are 11U topics, with more difficulty or rigor

Blue topics are 12U material required for MHF4U

Date	Topics & Learning Goals	Homework
18	Intro for Unit 3 – Trigonometry Solving Triangles Proving Sine Law Proving Cosine Law Triangle Inequality 3D Trigonometry Optional Quiz – Logarithms (no calculators)	Proving Sine Law and Cosine Law You can use the blank handout above, or use your own paper You can check here for HINTS You can check here for a full proof. Handout, 3D Trig Problems #4, 6, 7, 13 Triangle Inequality (Check here for solutions.) 1.9 P81 Achievement Check (Check here for solutions.) 4.1 P275 #19 4.3 P291 #8—11 4.3 P294 Achievement Check
19	Test 2 – Functions
22	PA Day
23 Ont College Fair	Sine Law, The Ambiguous Case	4.4 P308 #1—9 (odd letters) The Ambiguous Case – Summary (notes)
24 Ont College Fair	Sine Law, The Ambiguous Case II	4.4 P310 #10—19 4.4 P311 Achievement Check Applications of Sine and Cosine Law
25 Parent’s Night	5.1 Radians and Angle Measure	Optional Lessons (using the CEMC site for MHF4U): 6.1 Lessons 1 & 2 only – Radians explained; converting between radians and degrees 6.2 The Unit Circle – watch all lessons 1 to 4 Notes: Radians Special Angles Trig Ratios in Cartesian Form Evaluating Trig Exactly Homework: 5.1 P334 #1—9 (odd), 11, 17, 18, 19, 20, 22, 24, 28 (r/min means “revolutions per min”)
26	The Ambiguous Case III – Cosine Law vs. Sine Law 5.2 Trig Ratios of Any Angles Evaluating Trig Exactly Memorizing special angles Co-terminal Angles The Terminal Angle where Special angles 30˚, 45˚, 60˚. CAST memory aid (it’s not a rule)	Handout, Evaluating Trig Exactly 5.2 P348 #5—11, 18 Optional Lessons (using the CEMC site for MHF4U): 6.3 Trigonometric Ratios and Special Triangles Optional: Investigate Cosine Law and The Ambiguous Case, P312 #1—4
29	Unwrapping the Unit Circle (protractors, no calculators!) 5.5 Stretches of Periodic Functions	Handout, Unwrapping the Unit Circle Handout, Graphing Trig Functions Modelling Periodic Functions (notes) 5.5 P374 #1—12 (odd) Check out the Transformations of Sine using Desmos
30	5.3 Modelling Periodic Behaviour 5.6 Transformations of Trigonometric Functions Quiz – trigonometry (no calculator)	5.3 P359 #1, 2, 4 5.6 P387 #1—10 (odd) Get the handout, Applications of Periodic Functions from Mr. Shim, but it is for tomorrow’s homework.
31	Graphs of Reciprocal Trigonometric Functions Applications of Sinusoidal Functions Test 2 Corrections due	In class: · Handout, The Reciprocal Functions (check here for answers, or use graphing software.) · Handout, Sinusoidal Regression Homework: Handout, Applications of Periodic Functions (check here for page 5, the answers) 5.5 P377 #17—19 5.6 P388 #12—18, 21
Nov 1^st	Introduction to Trig Identities Quiz – Graphing Trig Functions	Trigonometric Identities P1—3 examples only (check answers here) Optional 5.7 P398 #2, 3 5.7 P398 #4odd , 7odd, 8, 11, 18, 20 (view an example of #20)
2	Trig Identities II	Trigonometric Identities P4 #1—14
5 staff mtg	Trig Identities III Hand in Learning Skills sheet	Trigonometric Identities (the rest) P4 #15—28
6 Diwali	Solving Trig Equations	Solving Trig Equations (notes) 5.8 P408#1—6(odd), 10—12
7	Solving Trig Equations II	5.8 P409 #7—9, 13—15 (14 & 15 in radians and exact)
8	Solving Trig Equations III	Solving Trig Equations (just 2 questions.)
9 Remembrance Day	Review for Test 3 Assembly Timetable: Period 1 8:50—10:50 Period 2 10:55—12:00 Period 3 12:05—1:10 Period 4 1:15—2:20 Period 5 2:25—3:30	P313 Ch. 4 Review Trigonometry P412 Ch. 5 Review Trigonometric Functions Optional: Watch the lessons on the CEMC Advanced Functions website for Compound Angle Formulas.
12	Trig Identities IV – 7.3 Compound Angle Formulas	Do the exercises on the CEMC Advanced Functions website for Compound Angle Formulas. Watch the lessons on the CEMC Advanced Functions website for Double Angle Formulas.
13	Trig Identities V – 7.4 Double Angle Formulas	Do the exercises on the CEMC Advanced Functions website for Double Angle Formulas. Watch the lessons on the CEMC Advanced Functions website for Solving Trigonometric Equations.
14 Take your kids to work day; Gr 8 orientation	7.5 Solving Trigonometric Equations	Do the exercises on the CEMC Advanced Functions website for Solving Trigonometric Equations.
15	Polar Coordinates Plotting polar coordinates Converting between Cartesian and polar coordinates Polar Curves Graphing polar functions with a table of values (manually) Graphing polar functions using software (Graph; Geometer Sketchpad; Desmos)	Handout, Polar Coordinates (Check completed notes here.) Handout, Polar Curves (Check completed notes here.)
16	Test 3
19	Polar Curves II Complete previous homework graphing manually; check with others Using software to graph	Handout, Polar Curves II Use Desmos to graph polar functions.
20 Report cards	Complex Numbers in Polar Form DeMoivre’s Theorem – powers of complex numbers DeMoivre’s Theorem II – roots of complex numbers	Handout, Complex Numbers in Polar Form (check your completed notes here.) Do #1, 2, 5—7 Review proofs for #3 and #4 here. DeMoivre’s Theorem (Check your completed notes here.) DeMoivre’s Theorem II (Check your completed notes here.) Optional: (for computer programmers) Khan Academy has a nice lesson using Polar Coordinates when programming the shape of a circular path on the screen. “Not so easy,” in Cartesian, but simple in Polar form. Enjoy.