Unit 8 1. identify the domain of a function that is given as a set of ordered pairs 2. identify the domain of a function that is given as a formula 3. identify the domain of a function that is given as a graph 4. identify the range of a function that is given as a set of ordered pairs 5. identify the range of a function that is given as a formula 6. identify the range of a function that is given as a graph 7. find the inverse of a function that is given as a set of ordered pairs 8. find the inverse of a function that is given as a formula 9. find the inverse of a function that is given as a graph 10. graph an exponential function 11. identify the horizontal asymptote of the graph of an exponential function 12. recognize exponential growth 13. recognize exponential decay 14. write an exponential function that has graph that passes through two given points 15. write an exponential function that models a given situation 16. evaluate an exponential function at a given xvalue 17. solve an exponential equation 18. write an exponential function for a "half-life" problem 19. interest compounded quarterly, daily, etc. 20. interest compounded continuously 21. convert logarithmic form exponential form 22. evaluate a logarithmic expression 23. pH problems 24. graph a logarithmic function 25. domain/range of logarithmic functions 26. use properties of logs: product, quotient, power, change-of-base 27. expand a logarithmic expression 28. "write as a single log" 29. solve a logarithmic equation 30. work with natural logs Unit 9 31. factor an expression 32. factor a cubic polynomial expression using RRT and synthetic division 33. perform partial fraction decomposition 34. identify direct & inverse variation 35. model direct, inverse, and joint variation 36. graph direct variation 37. graph inverse variation 38. simplify a rational expression 39. add/subtract/multiply/divide rational expressions 40. solve rational equations 41. state restrictions on variables 42. identify extraneous solutions 43. "how long would it take each person working alone" problems Unit 10 44. write the standard form equation of an ellipse 45. write the standard form equation of a circle 46. write the standard form equation of a hyperbola 47. write the standard form equation of a parabola 48. graph an ellipse 49. graph a hyperbola 50. graph a circle 51. graph a parabola 52. complete the square to write a conic section's equation in standard form 53. identify a conic section given an equation 54. find key features of an ellipse given other key features 55. find key features of an hyperbola given other key features 56. find key features of a circle given other key features 57. find key features of a parabola given other key features 58. "find the equation of a circle that passes through…" 59. solve a quadratic system of equations Unit 11 60. write an nth term expression for a. arithmetic b. geometric c. quadratic d. other 61. find the next term in a given sequence 62. use a recursive formula 63. write a recursive formula 64. identify an arithmetic sequence 65. identify a geometric sequence 66. find a missing term in an arithmetic sequence 67. find a missing term in a geometric sequence 68. write a sigma expression 69. evaluate a sigma expression Unit 11 (continued) 70. find a partial sum of an arithmetic series 71. find a partial sum of a geometric series 72. determine if an infinite geometric series converges 73. evaluate a convergent infinite geometric series Unit 12 74. use the Pythagorean theorem formula 75. find lengths of sides in special right triangles 76. sketch an angle in standard position 77. find an angle that is coterminal with a given standard position angle 78. find the coordinates where the terminal side of a "special" standard-position angle intersects the unit circle 79. find the period of a periodic function 80. find the amplitude of a periodic function 81. find sine, cosine, and tangent of "special" angles 82. find sine, cosine, and tangent of angles using the calculator 83. find sine, cosine, and tangent of an angle given the coordinates where the angle's terminal side intersects the unit circle 84. convert degrees radians 85. find the length of an arc given a central angle measure in radians 86. find sine, cosine, tangent for "special" angle measures given in radians 87. graph a sine function 88. graph a cosine function 89. graph a tangent function 90. graph secant and cosecant functions 91. write an equation matching a given trig function's graph Unit 13 92. verify a trig identity 93. simplify a trig expression 94. solve a trig equation over a given interval--like 0, 2 95. find the complete solution of a trig equation 96. find the measures of the acute angles of a right triangle 97. set up and solve a problem using right triangle trig a. angle of depression b. angle of elevation c. etc. 98. set up and solve a bearing problem Unit 14 99. find the mean of a set of data 100. find the median of a set of data 101. find the mode of a set of data 102. find the standard deviation of a set of data 103. discuss outliers in a set of data 104. find Q1 and Q3 for a set of data 105. analyze a box-and-whisker plot 106. find a z-score 107. solve a problem involving normallydistributed data 108. calculate the theoretical probability of an event