Pre-Calculus A
Montgomery/Ewing February 2009
Unit 3: Chapter 8 Trig Identities and Equations
Analyze and explain the general properties and behavior of functions of one variable, using appropriate graphing technologies. 4.3.12.B.2
1. Slope of a line or curve
2. Domain and range
3. Intercepts
4. Continuity
5. Maximum/minimum
6. Estimating roots of equations
7. Intersecting points as solutions of systems of equations
8. Rates of change
Use functions to model real-world phenomena and solve problems that involve varying quantities. 4.3.12.C.1

periodic (sine and cosine),

Expressions, equations and inequalities

Same function can model variety of phenomena

Growth/decay and change in the natural world

Applications in mathematics, biology, and economics (including compound interest)
Date/
time
Text
Reference
8-4
1block
1block
8-4
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8-5
1block
10-1
1block
10-2
1block
10-3
1block
10-4
1block
Review
1block
Test
Proficiencies: 18, 25
Objective
Activities
Assignment
To simplify trigonometric
expressions and to prove
trigonometric identities
To simplify trigonometric
expressions and to prove
trigonometric identities
To use trig identities or
technology to solve more
difficult trigonometric
equations
To derive and apply formulas
for sum and difference for sine
and cosine
To derive and apply formulas
for sum and difference for
tangent
To derive and apply doubleangle and half-angle formulas
To solve equations using
identities
Examples, group work, graphing calculators,
worksheet page 358 Investigating trig
identities #2
Examples, group work, graphing calculators,
worksheets and game
Page 321 #1-35 odd, Finish
worksheet page 358
Examples, lecture, group work, graphing
calculators
Examples, lecture, group work, graphing
calculators
Page 326 #1-15 odd, 17, 19, 24,
25, 26 solve algebraically (no
calculator), Use calculators to
solve: 20, 21, 19, 31, 33
Page 373 #1-25odd, 27-30 all/
33-37 odd
Examples, lecture, group work, graphing
calculators
Page 377 #1-13 odd, 17, 19, 23,
25
Examples, lecture, group work, graphing
calculators
Examples, lecture, group work, graphing
calculators. Examples from page 333
Page 383 #1-19 odd, 23, 25,
31-41 odd
Page 389 class exercises #1-6
all solve all algebraically.
Written exercises 9a, b, 17-31
odd.
Page 329 Chapter test 8-10,
Page 393 #1,2,3, 6-11 all
Identity worksheets