Pre-Calculus Honors Semester 2 Midterm Review Mrs. Iverson Name ___________________________ Date ______________ Period _______ Some things to remember when studying for the midterm: This midterm is designed to be taken during one class period and is considered a normal test grade as a percentage out of 100 points. 1. This midterm will be both multiple choice and short answer. In addition there will be a calculator section and a non-calculator section. 2. In addition to these example problems, you should also review all previous tests, quizzes, and winks. 3. This midterm will cover the topics in Unit 3 Part C: Analytic Trig and Unit 4: Sequences, Series, and Probability Learning Targets covered through March 6, 2013 These are all of the LTs that have appeared in Unit 3 Part C and Unit 4. They are all fair game, though it would be impossible for all LTs to appear on the midterm. I would recommend using this as a checklist of skills to help you identify the topics you need help on, and the topics in which you are confident. Unit 3 Part C: Analytic Trigonometry 5.1/5.2 3C.5.1: 3C.5.2: 5.3 3C.5.3: 5.4 3C.5.4: 3C.5.5: 3C.5.6: 5.5 3C.5.7: 3C.5.8: Simplify using trig identities. Verify trig identities. Solve trigonometric equations. Use sum and difference formulas to evaluate trigonometric functions. Use sum and difference formulas to verify identities. Use sum and difference formulas to solve trigonometric equations. Use multiple-angle formulas to rewrite and evaluate trigonometric functions. Use half angle formulas to rewrite and evaluate trigonometric functions. Unit 4: Sequences, Series, and Probability 8.1 4.8.1: Use sequence notation to write the terms of sequence. 4.8.2: Use factorial notation. 4.8.3: Use summation notation to write sums. 4.8.4: Find sums of infinite series. 4.8.5: Use sequences and series to model and solve real-life problems. 8.2 4.8.6: Recognize, write, and find the nth terms of arithmetic sequences. 4.8.7: Find nth partial sums of arithmetic sequences. 4.8.8: Use arithmetic sequences to model and solve real-life problems. 8.3 4.8.9: Recognize, write, and find the nth terms of geometric sequences. 4.8.10: Find nth partial sums of geometric sequences. 4.8.11: 4.8.12: 8.4 4.8.13: 8.5 4.8.14: 4.8.15: 4.8.16: 8.6 4.8.17: 4.8.18: 8.7 4.8.19: 4.8.20: 4.8.21: 4.8.22: Find sums of infinite geometric sequences. Use geometric sequences to model and solve real-life problems. Find the quadratic model for sequences. Calculate binomial coefficients. Write binomial expansions. Apply binomial expansions to real-life problems. Use permutations to solve counting problems. Use combinations to solve counting problems. Find probabilities of events. Find probabilities of mutually exclusive events. Find probabilities of independent events. Find probabilities of complements of events. Book Problems for Review – please note: only the odd numbered questions will have answers in the back of your textbook. p. 387 – 389: # 1-22, 25-29, 35, 36-54, 59-66, 71-76, 83-88, 99-106 p. 390: # 1-4, 7-21 p. 626-629: # 1-4, 9-24, 25-28 (sum of infinite series only), 29-81, 87-98, 103-122, 124-125 p. 630: # 1-9, 11-22 Our midterm exam will take place on TUESDAY, MARCH 11, 2014