Outline:
U5D0 MCR-3UI-Trig-Unit-Outline
| Day | Topics | Practice Questions |
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1
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Trigonometry of Right Angles – define reciprocal trig ratios U5D1_S Trig of Right Triangles U5D1_T Trig of Right Triangles If you need further explanation:
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pgs. 272-273 #1ac, 4ac, 6, 9-11 #1-4 (ac of each), 6, 8-11, 6, 19, 20 U5D1&2_W Worksheet Applications of Trig Questions #1, 2(use ITT), 7
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2
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Sine and Cosine Law U5D2 Example 2 only – Video Lesson Link If you need further explanation: |
Warm up: MCR3UI_U5_Skill_Reflection_1 Skill Reflection 1 Solutions Pg. 290 #1bc, 2ac, 4bc, 5a p. 290 #1bc,2ac,3ac, 4bc, 5a, 16 p. 293 #9,10 (course is measured clockwise from north), U5D1&2_W Worksheet Applications of Trig Questions #3, 5, 6, 8, 9 |
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3
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Sine Law: The Ambiguous Case |
Warm up: Skill_Reflection_2 Skill Reflection 2 Solutions p. 308 #2de, 3ce, 7a, 11 ( answer 12 km or 3 km), 12, U5D3 HW Textbook Solutions Ambiguous Case Note: my solution to number 12 is not the most efficient solution as I was demonstrating the typical “ambiguous case” solution. It is more efficient to use ITT (Isosceles Triangle Theorem) once you find the first acute unknown angle. |
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4
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Trig Ratios of Any Angle – CAST rule |
Warm up: Skill_Reflection_3 Skill Reflection 3 Solutions p. 281 #1, 4 p. 348 #1bef + determine the principal angle #2abef + determine the principal angle, #6 (Where it says the angle is between 0 and 2 pi, treat it as the angle is between 0º and 360º) Pi = 180 degrees p. 348 #1a) (book error) |
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5
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Trig Ratios of Any Angle – CAST rule – Special Triangles U5D5_S Trig Ratios of Special Angles and CAST Rule U5D5_T Trig Ratios of Special Angles and CAST Rule
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p. 348 #3, 7bcf, 8, 11
NOTE: Some answers may be in a different form — with the denominator a rational number.
Example: 1 divide by root 2 can be written as root 2 over 2. If you multiply the numerator and the denominator both by root 2 it makes the denominator a rational number.
You can leave it in either form.
If you change root 2 over 2 to a decimal and 1 over root 2 to a decimal, you will see they are both about 0.7071
I prefer the form: 1 over root 2 for this work.
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| 6 |
Work Period for Mixed Applications
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Warm up: Skill_Reflection_4 Skill Reflection 4 Solutions Optional Practice:OLD Quiz Solutions: 2017 – U5 – D9 – QUIZ – Day2 – FEBRUARY 2017 solutions U5D6_W Worksheet Extra Practice Trig Angles U5D6_WS Worksheet SOLUTIONS Extra Practice Trig Angles |
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7
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Introduction to Proving Simple Trigonometric Identities – Pythagorean Identity – Quotient Identity U5D7_S Proving Trig Identities |
Skill Reflection 5 Solutions p. 398 #1, 2bcgl, 4abei |
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8
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QUIZ on CAST Rule, Special Triangles (NO CALCULATORS) Proving Trigonometric Identities – Reciprocal Identities U5D8_S Proving Trig Identities Cont’d (Reciprocal) |
Worksheet included in the note |
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WORK PERIOD
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Skill Reflection 6 Solutions U5D9_W Worksheet Angles In Standard Position EXTENSION U5D9_WS Worksheet Solutions Angles In Standard Position EXTENSION |
| 10 |
Review of Chapter 4
+
Review of Chapter 5 |
p. 316 #1-11 For more practice on specific topics, see pg. 313-315 p. 413 #10, 11, 13 (0º £ q £360º), 14, 32, 34 + review last days questions involving reciprocal identities (pick and choose) |
| 11 | TEST (WITH CALCULATORS) | OPTIONAL: Old Test for Practice 2019_MCR3UI_Unit 5_Test & SOLUTIONS |
