ACADEMIC KNOWLEDGE AND SKILLS FOR PRECALCULUS. (If submission is not a book, cite appropriate location(s)) A Trigonometry


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1 A Trigonometry Apply circle and angle relationships SE/TE: , 240Area of Sector, , 325, 328The SAS Area Formula, 331Problem 2, 792. TR: Lesson Master and Answer Master 41, Teaching Aids 32, 35. TECH: 235above Example 3. Apply special right triangle relationships SE/TE: , , 356. TR: Lesson Masters and Answer Masters 44, 51, 52, 53, 54, Teaching Aids 33, 39, 46, 48, 49, Assessment Sourcebook: Quiz for Lessons 51 through 53. TECH: 312middle of page, 313Example 3, 321top of page, 330Examples 12, Explorations 44, 53,
2 Develop, graph and apply the six trigonometric functions SE/TE: , , , , , , TR: Lesson Masters and Answer Masters 43, 46, 47, 48, 49, 410, 51, 53, 55, 56, 131, Teaching Aids 32, 33, 34, 37, 38, 41, 42, 43, 44, 46, 47, 48, 50, 51, 112, 115, 116, Assessment Sourcebook: Quiz for Lessons 41 through 43, Quiz for Lessons 44 through 47, Quiz for Lessons 51 through 53, Quiz for Lessons 54 through 56. TECH: 264, 268Checks 1, 2, 273Technology, 274Check, 278Check, 289 Solution 1, 312above Example 2, 313example 3, 321first paragraph, 324Activity 3 Technology, 334middle of page, 336 Example 2, 337Check, 338Problem 22, 343Problems 1012, 344 problem 29, 806Example 1, 807Example 2, 810Problems 18 & 30, Exploration 43, 410, 53, Technology Sourcebook: Computer Masters 5, 6, Calculator Masters 4, 5. Apply laws of sines and cosines SE/TE: , TR: Lesson Masters and Answer Masters 52, 54, Teaching Aids 46, 49. TECH: Exploration 54. Explore and apply properties of circular functions SE/TE: TR: Lesson Masters and Answer Masters 46, 47, 48, 49, 410, Teaching Aids 33, 34, 42, 43, 44, Assessment Sourcebook, Quiz for Lessons 44 through 47. TECH: , 268Check, 273 Technology, 274Check, 278Check, 280Activity, 283problem 15a, 289 Solution 1, Explorations 47, 48, 410, Technology Sourcebook, Computer Masters 5, 6. Represent complex numbers in trigonometric form SE/TE: TR: Lesson Masters 137, 138, Teaching Aids 114, 124,
3 Solve trigonometric equations and verify trigonometric identities SE/TE: , , TR: Lesson Masters and Answer Masters 44, 57, 132, Teaching Aids 33, 39, 47, 112, 117. TECH: 345, 348Check 2, 350Check 2, 815problems 1013, Explorations 44, Technology Sourcebook : Calculator Master 10. Graph and model circular functions SE/TE: TR: Lesson Master and Answer Master 46, Teaching Aids 33, 34, 41, 42, 43. TECH: 268Check 2, Technology Sourcebook: Computer Masters 5, 6. Apply transformations to graphs of circular functions SE/TE: TR: Lesson Masters and Answer Masters 47, 48, 49, Teaching Aids 33, 34, 44, Assessment Sourcebook: Quiz for Lessons 44 through 47. TECH: 272Example 1c, 273Technology, 274Check, 278Check, 280 Activity, Explorations 47,
4 Graph and evaluate trigonometric inverses SE/TE: , TR: Lesson Masters and Answer Masters 53, 55, 56, Teaching Aids 46, 47, 48, 50, 51, Assessment Sourcebook: Quiz for Lessons 54 through 56. TECH: 321first paragraph, 334second paragraph, 336Check, 337Check, 338Problems 1214, Exploration 53, Technology Sourcebook: Calculator Masters 4, 5. Represent coordinates in trigonometric and polar form SE/TE: TR: Lesson Master and Answer Master 135, Teaching Aids 113, 120, 121, 122. TECH: 829Rose Curves, 832problem 21, Exploration B Statistics Fit and model linear and nonlinear curves to data SE/TE: 42Projected U.S. Population, , , , , , , , TR: Lesson Masters and Answer Masters 22, 23, 25, 26, 28, 29, 33, 36, 410, 67, Teaching Aids 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 26, 27, 34, 56, Assessment Sourcebook: Quiz for Lessons 21 through 23, Quiz for Lessons 34 through 36. TECH: Explorations 22, 25, 26, 33, Technology Sourcebook: Computer Masters 2, 3, 7, Calculator Master 2. 4
5 C Functions and Relations Translate among tabular, symbolic and graphical representation of functions Develop algorithms and analyze functions using the Fundamental Theorem of Algebra SE/TE: , , , , , , TR: Lesson Masters and Answer Masters 21, 22, 23, 24, 25, 26, 27, 28, 29, 32, 37, 38, 61, 62, 92, 95, 97, 122, 123, 124, Teaching Aids 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 30, 53, 57, 79, 80, 81, 82, 84, 103, 104, 107, 108, 109, Assessment Sourcebook: Quiz for Lessons 21 through 23, Quiz for Lessons 24 through 26, Quiz for Lessons 94 through 97, Quiz for Lessons 121 through TECH: 122Check, 373Example 2, 377Solution 3, 130Activity 1, 131 Activity 2, 377Activity 1, 379, 565Activity 1, 761Explorations 22, 25, 26, 122, 123, 124, Technology Sourcebook: Computer Masters 2, 13, Calculator Masters 1, 2, 3, 8. SE/TE: TR: Lesson Master and Answer Master 97, Teaching Aids 81, 84, Assessment Sourcebook: Quiz for Lessons 94 through 97. Find and graph compositions of functions SE/TE: TR: Lesson Master and Answer Master 37, Teaching Aid 27. TECH: Exploration 37, Technology Sourcebook: Computer Master 4. 5
6 Find and graph inverses of functions SE/TE: , , , 379Example 3, 386top of page. TR: Lesson Masters and Answer Masters 38, 53, 55, 56, Teaching Aids 28, 46, 47, 48, 50, 51, Assessment Sourcebook: Quiz for Lessons 54 through 56. TECH: 321, 323Check, Exploration 53, 334, 336Check, 337problem 4, 338problems & 22, Technology Sourcebook: Calculator Masters 4, 5. Graph and model exponential and logarithmic functions SE/TE: , TR: Lesson Masters and Answer Masters 63, 64, 66, Teaching Aids 54, 58, 59, Assessment Sourcebook: Quiz for Lessons 61 through 63, Quiz for Lessons 64 through 66. TECH: Explorations 63, 64, 66. Graph and model piecewise functions Identify domain and range for algebraic and transcendental functions SE/TE: 8287, 204example 4, TR: Lesson Masters and Answer Masters 21, 46, 47, 48,49, Teaching Aids 14, 17, 33, 34, 41, 42, 43, 44, Assessment Sourcebook: Quiz for Lessons 44 through 47. TECH: , 268Check 1, 273Technology, 274Check, 278Check, 289Solution 1, Explorations 47, 48, Technology Sourcebook: Computer Masters 5, 6. Graph and analyze both linear and nonlinear systems SE/TE: 702problem 26, 735top of page, 736problems 15 &
7 Perform operations with complex numbers SE/TE: , 599Conjugate Zeroes Theorem, TR: Lesson Masters and Answer Masters 96, 136, 137, 138, Teaching Aids 80, 83, 113, 114, 123, 124, 125. TECH: Exploration D Discrete Mathematics Develop and investigate axiomatic systems Use mathematical induction E Underpinnings of Calculus Analyze curves with respect to intervals of increase/decrease, end behavior and horizontal, vertical and oblique asymptotes SE/TE: , , , TR: Lesson Masters and Answer Masters 26, 27, 82, 85, 92, Teaching Aids 15, 16, 21, 22, 71, 72, 74, 75, 79, 82, Assessment Sourcebook: Quiz for Lessons 24 through 26. TECH: 497Technology, 519top of page, 568problem 16, Explorations 82, 85, Technology Sourcebook: Calculator Master 8. 7
8 F Geometry from an Algebraic Perspective Identify and compare conic sections and sketch their graphs SE/TE: , , 766Problem 14, 766problems 1719, , , 786after Activity 2. TR: Lesson Masters and Answer Masters 26, 121, 122, 123, 124, 125, 126, Teaching Aids 15, 21, 22, 103, 104, 105, 106, 107, 109, 110, 111, Assessment Sourcebook: Quiz for Lessons 24 through 26. TECH: 122Check, 764Using Technology, 766Problem 16, Explorations 121, 122, Perform vector operations algebraically and geometrically Graph and perform two and threedimensional vector computations G Patterns and Functions 8
9 Apply sums, products and determinants of matrices SE/TE: , 720Problem 26, 735top of page, 736Problem 15 & TR: Lesson Master and Answer Master 111, Teaching Aid 95. Apply special right triangle relationships SE/TE: , , 356. TR: Lesson Masters and Answer Masters 44, 51, 52, 53, 54, Teaching Aids 33, 39, 46, 48, 49, Assessment Sourcebook: Quiz for Lessons 51 through 53. TECH: 312middle of page, 313Example 3, 321top of page, 330Examples 12, Explorations 44, 53, 54. Explore sine, cosine and tangent functions in right triangles SE/TE: TR: Lesson Master and Answer Master 51, Teaching Aid 46. TECH: 313middle of page. 9
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