Pre-Calculus AU nit 3: Chapter 8 Trig Identities and Equations by UC16FL9k

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									Pre-Calculus A                                                    Unit 3: Chapter 8 Trig Identities and Equations
Montgomery/Ewing February 2009



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/    Text          Objective                         Activities                                    Assignment
 time     Reference
          8-4           To simplify trigonometric         Examples, group work, graphing calculators,   Page 321 #1-35 odd, Finish
 1block                 expressions and to prove          worksheet page 358 Investigating trig         worksheet page 358
                        trigonometric identities          identities #2
 1block   8-4           To simplify trigonometric         Examples, group work, graphing calculators,   Identity worksheets
                        expressions and to prove          worksheets and game
                        trigonometric identities
 1block   8-5           To use trig identities or         Examples, lecture, group work, graphing       Page 326 #1-15 odd, 17, 19, 24,
                        technology to solve more          calculators                                   25, 26 solve algebraically (no
                        difficult trigonometric                                                         calculator), Use calculators to
                        equations                                                                       solve: 20, 21, 19, 31, 33
 1block   10-1          To derive and apply formulas      Examples, lecture, group work, graphing       Page 373 #1-25odd, 27-30 all/
                        for sum and difference for sine   calculators                                   33-37 odd
                        and cosine
 1block   10-2          To derive and apply formulas      Examples, lecture, group work, graphing       Page 377 #1-13 odd, 17, 19, 23,
                        for sum and difference for        calculators                                   25
                        tangent
 1block   10-3          To derive and apply double-       Examples, lecture, group work, graphing       Page 383 #1-19 odd, 23, 25,
                        angle and half-angle formulas     calculators                                   31-41 odd
 1block   10-4          To solve equations using          Examples, lecture, group work, graphing       Page 389 class exercises #1-6
                        identities                        calculators. Examples from page 333           all solve all algebraically.
                                                                                                        Written exercises 9a, b, 17-31
                                                                                                        odd.
 1block   Review                                                                                        Page 329 Chapter test 8-10,
                                                                                                        Page 393 #1,2,3, 6-11 all
 1block   Test
Proficiencies: 18, 25

								
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