MHF4UI: 2016-2017 Unit 5: Trig Functions 1

Essential Skills

ð Represent radian measure in terms of π and as a rational number.

ð Determine the primary trig ratios and the reciprocal trig ratios of angles in radian measure.

ð Sketch the graphs of and in radians.

ð Determine and describe the key properties of the above functions in terms of radians (e.g. period, amplitude, phase shift and vertical translation.

ð Understand the difference between reciprocal trig ratios and inverse trig ratios.

ð Represent a sinusoidal function with an equation, given it graph.

ð Solve application problems involving sinusoidal functions (e.g. tides, hours of daylight etc.).

Date / Topic / Practice Questions
Day 3: Mon. Feb. 6
Day 4: Tue. Feb. 7 / Concepts Review / ð Worksheet: Angles in Standard Position - Degrees #1–3
Day 1: Wed. Feb. 8
Day 2: Thu. Feb 9 / Radian Measure / ð Worksheet: Angles in Standard Position - Radians #1–4
ð Worksheet: Radian Measure (omit #1)
Day 3: Fri. Feb. 10
Day 4: Mon. Feb. 13 / Graphing Trig Functions Part 1 / ð Worksheet: Angles in Standard Position - Radians #5
ð Worksheet: Graphing Sinusoidal Functions #2
Day 1: Tue. Feb. 14
Day 2: Wed. Feb. 15 / Graphing Trig Functions Part II
Phase Shifts / ð Worksheet: Graphing Sinusoidal Functions #3
Day 3: Thu. Feb. 16
Day 4: Fri. Feb. 17 / Graphing Trig Functions Part III
Period Changes / ð Worksheet: Graphing Sinusoidal Functions # 4
FAMILY DAY: Mon. Feb 20
Day 1: Tue. Feb. 21
Day 2: Wed. Feb. 22 / QUIZ
Equations of Sinusoidal Functions / ð Worksheet: Equations of Sinusoidal Functions
ð Worksheet: Graphing Sinusoidal Functions # 1
Day 3: Thu. Feb. 23
Day 4: Fri. Feb. 24 /

Change of Variable

/ ð Worksheet: Change of Variable
Day 1: Mon. Feb. 27
Day 2: Tue. Feb. 28 /

Applications of Sinusoidal Functions

/ ð Worksheet: Applications of Sinusoidal Functions # 1, 2, 4, 6, 8, 10, 12
Day 3: Wed. Mar. 1
Day 4: Thu. Mar. 2 /

MHF4UI: 2016-2017 Unit 5: Trig Functions 1