Download Ch13 and 14 Periodic Functions Cross

Ch13 and 14 Periodic Functions
Cross-Curricular Ties:
I Can…
F.IF.7e
F.TF.1
F.TF.2
F.TF.3*
F.TF.5
F.BF.3
F.IF.8
Project ties:
Derive the formula for the sum of a
finite geometric series, and arithmetic
series (when the common ratio is not
1), and use the formula to solve
problems.
Understand radian measure of an
angle as the length of the arc on the
unit circle subtended by the angle.
Explain how the unit circle in the
coordinate plane enables the
extension of trigonometric functions to
all real numbers, interpreted as radian
measures of angles traversed
counterclockwise around the unit
circle.
Use special triangles to determine
geometrically the values of sine,
cosine, tangent for π/3, π/4 and π/6,
and use the unit circle to express the
values of sine, cosines, and tangent
for x, π + x, and 2π – x in terms of
their values for x, where x is any real
number.
Choose trigonometric functions to
model periodic phenomena with
specified amplitude, frequency, and
midline
Add and subtract trigonometric
functions and relate them to their
graph.
Explain different properties of the
trigonmetric function
Keywords:
Amplitude
Cotangent
Period
Cycle
Radian
Phase shift
Unit circle
Secant
Sine and Cosine
Function
Topic(s)
Step
1
2
3
4
5
6
7
8
Suggested
Text
PH2011
Common
Core
Exploring Periodic Data
13.1
F.IF.7e
Angles and the Unit Circle
13.2
F.TF.1, F.TF.2,
F.TF.3
Radian Measure
13.3
F.TF.1, F.TF.2,
F.TF.3
The Sine Function
13.4
F.IF.7e F.TF.5
The Cosine Function
13.5
F.IF.7e F.TF.5
The Tangent Function
13.6
F.IF.7e
Translating Sine and Cosine
Functions
13.7
F.BF.3
Trigonometric Identities
14.1
F.IF.8
Trigonometric Identities
14.1
F.IF.8
Periodic motion graphs
Activity
3x5 index cards
Pg 711 example 1-4
Science, Technology,
Engineering, & Math
(STEM) Activities
Assessment
Periodic motion
kahn
Pg 713 1-25 odd
Measuring reference angles notes Pg 718 examples 1,2, and 3
Pg 722 1-19 odd
The unit circle notes
Pg 721 example 4 and 5
Pg 722 21-49 odd
Converting between
Kahn radians and degrees
Pg 726 example
radians and degrees
1-4
9
10
11
12
13
14
15
16
17
18
19
20
Pg 729 1-27 odd (yes do number 13!)
Reference triangles for the unit
Tick to remembering the unit
circle
circle values
FILL IN THE UNIT CIRCLE BELOW THIS UNIT GUIDE
Where the trigonometric functions come from
-Using the unit circle 0kahn intro to
Pg 734 example 1-6
to generate graphs
graphing trig functions Pg 734 example 1-4
-Graphing Sine
1Kahn drawing a sine
Functions
function
-Sine and Cosine
2 kahn drawing out a
Functions here
cosine function
(notes)
3 Amplitude and
period of cosine and
sine functions
Pg 738 1-33 odd, pg746 1-21 odd
Graphing tangent,
What the tangent
Pg 749 ex 1-3
cotangent, secant, and
function looks like
cosecant
Pg 751 1-27 odd
Step by Step of
Pg 756 examples 1-5
Trigonometric
Translating and
functions shift
graphing trigonometric
functions
Pg 760 1-35 odd
http://www.youtube.com/watch?v=D3BykIrM6fk periodic love
poem.
Unit Circle Song
All Students Take Calculus trick
Pg 771 1-5, 7-35 odd
Test
http://www.youtube.com/watch?v=D3BykIrM6fk periodic love poem.
: Prentice Hall Videos and Text Book
http://phschool.com/webcodes10/index.cfm?area=view&wcprefix=auk&wcsuffix=0099
Chapter PowerPoints
http://www.taosschools.org/ths/Departments/MathDept/quintana/GeometryPPTs/index.htm