2018 Grade
11 Enriched Outline (MCR3U6)
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
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 
25 Parent’s Night 
5.1 Radians and Angle Measure 
Optional Lessons (using the CEMC site for MHF4U):
Notes: 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 Coterminal 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):
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
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:
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 
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. 