- Text
- Mathematics,
- Readiness,
- Equations,
- Literacy,
- Interpret,
- Operations,
- Selected,
- Panelists,
- Texts,
- Linear,
- Ccrstandardsadulted

APPENDIX E. PREPARING STUDENTS FOR SCIENCE, TECHNOLOGY, ENGINEERING, AND MATHEMATICS 122 F.BF.4b (+) Verify by composition that one function is the inverse of another. F.BF.4c (+) Read values of an inverse function from a graph or a table, given that the function has an inverse. F.BF.4d (+) Produce an invertible function from a non-invertible function by restricting the domain. F.BF.5 (+) Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents. Trigonometric Functions F.TF.3 (+) Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosine, and tangent for π–x, π+x, and 2π–x in terms of their values for x, where x is any real number. F.TF.4 (+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions. F.TF.6 (+) Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed. F.TF.7 (+) Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and interpret them in terms of the context. F.TF.9 (+) Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems. Geometry Similarity, Right Triangles, and Trigonometry G.SRT.9 (+) Derive the formula A = 1/2 ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side. G.SRT.10 (+) Prove the Laws of Sines and Cosines and use them to solve problems. G.SRT.11 (+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces). Circles G.C.4 (+) Construct a tangent line from a point outside a given circle to the circle. Expressing Geometric Properties with Equations G.GPE.3 (+) Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant. Geometric Measurement and Dimension G.GMD.2 (+) Give an informal argument using Cavalieri’s principle for the formulas for the volume of a sphere and other solid figures. Statistics and Probability Conditional Probability and the Rules of Probability S.CP.8 (+) Apply the general Multiplication Rule in a uniform probability model, P(A and B) = P(A)P(B|A) = P(B)P(A|B), and interpret the answer in terms of the model.

APPENDIX E. PREPARING STUDENTS FOR SCIENCE, TECHNOLOGY, ENGINEERING, AND MATHEMATICS 123 S.CP.9 (+) Use permutations and combinations to compute probabilities of compound events and solve problems. Using Probability to Make Decisions S.MD.1 (+) Define a random variable for a quantity of interest by assigning a numerical value to each event in a sample space; graph the corresponding probability distribution using the same graphical displays as for data distributions. S.MD.2 (+) Calculate the expected value of a random variable; interpret it as the mean of the probability distribution. S.MD.3 (+) Develop a probability distribution for a random variable defined for a sample space in which theoretical probabilities can be calculated; find the expected value. For example, find the theoretical probability distribution for the number of correct answers obtained by guessing on all five questions of a multiple-choice test where each question has four choices, and find the expected grade under various grading schemes. S.MD.4 (+) Develop a probability distribution for a random variable defined for a sample space in which probabilities are assigned empirically; find the expected value. For example, find a current data distribution on the number of TV sets per household in the United States, and calculate the expected number of sets per household. How many TV sets would you expect to find in 100 randomly selected households? S.MD.5 (+) Weigh the possible outcomes of a decision by assigning probabilities to payoff values and finding expected values. S.MD.5a (+) Find the expected payoff for a game of chance. For example, find the expected winnings from a state lottery ticket or a game at a fast-food restaurant. S.MD.6 (+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). S.MD.7 (+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game).

- Page 1 and 2:
College and Career Readiness Standa

- Page 3 and 4:
College and Career Readiness Standa

- Page 5 and 6:
iii CONTENTS Acknowledgments.......

- Page 7 and 8:
v ACKNOWLEDGMENTS The success of th

- Page 9 and 10:
1 1 INTRODUCTION Overview of Projec

- Page 11 and 12:
1. INTRODUCTION 3 that some educato

- Page 13 and 14:
5 2 APPLICABILITY OF THE COMMON COR

- Page 15 and 16:
7 3 PROCESS OF SELECTING COLLEGE AN

- Page 17 and 18:
9 4 THE RESULTS: COLLEGE AND CAREER

- Page 19 and 20:
4. THE RESULTS: COLLEGE AND CAREER

- Page 21 and 22:
4. THE RESULTS: COLLEGE AND CAREER

- Page 23 and 24:
4. THE RESULTS: COLLEGE AND CAREER

- Page 25 and 26:
4. THE RESULTS: COLLEGE AND CAREER

- Page 27 and 28:
4. THE RESULTS: COLLEGE AND CAREER

- Page 29 and 30:
4. THE RESULTS: COLLEGE AND CAREER

- Page 31 and 32:
4. THE RESULTS: COLLEGE AND CAREER

- Page 33 and 34:
4. THE RESULTS: COLLEGE AND CAREER

- Page 35 and 36:
4. THE RESULTS: COLLEGE AND CAREER

- Page 37 and 38:
4. THE RESULTS: COLLEGE AND CAREER

- Page 39 and 40:
4. THE RESULTS: COLLEGE AND CAREER

- Page 41 and 42:
4. THE RESULTS: COLLEGE AND CAREER

- Page 43 and 44:
4. THE RESULTS: COLLEGE AND CAREER

- Page 45 and 46:
4. THE RESULTS: COLLEGE AND CAREER

- Page 47 and 48:
4. THE RESULTS: COLLEGE AND CAREER

- Page 49 and 50:
4. THE RESULTS: COLLEGE AND CAREER

- Page 51 and 52:
4. THE RESULTS: COLLEGE AND CAREER

- Page 53 and 54:
5. THE RESULTS: COLLEGE AND CAREER

- Page 55 and 56:
5. THE RESULTS: COLLEGE AND CAREER

- Page 57 and 58:
5. THE RESULTS: COLLEGE AND CAREER

- Page 59 and 60:
5. THE RESULTS: COLLEGE AND CAREER

- Page 61 and 62:
5. THE RESULTS: COLLEGE AND CAREER

- Page 63 and 64:
5. THE RESULTS: COLLEGE AND CAREER

- Page 65 and 66:
5. THE RESULTS: COLLEGE AND CAREER

- Page 67 and 68:
5. THE RESULTS: COLLEGE AND CAREER

- Page 69 and 70:
5. THE RESULTS: COLLEGE AND CAREER

- Page 71 and 72:
5. THE RESULTS: COLLEGE AND CAREER

- Page 73 and 74:
5. THE RESULTS: COLLEGE AND CAREER

- Page 75 and 76:
5. THE RESULTS: COLLEGE AND CAREER

- Page 77 and 78:
5. THE RESULTS: COLLEGE AND CAREER

- Page 79 and 80: 5. THE RESULTS: COLLEGE AND CAREER
- Page 81 and 82: 5. THE RESULTS: COLLEGE AND CAREER
- Page 83 and 84: 5. THE RESULTS: COLLEGE AND CAREER
- Page 85 and 86: 5. THE RESULTS: COLLEGE AND CAREER
- Page 87 and 88: 5. THE RESULTS: COLLEGE AND CAREER
- Page 89 and 90: 5. THE RESULTS: COLLEGE AND CAREER
- Page 91 and 92: 5. THE RESULTS: COLLEGE AND CAREER
- Page 93 and 94: 85 REFERENCES ACT, Inc. 2006. Readi
- Page 95 and 96: REFERENCES 87 National Governors As
- Page 97 and 98: 89 APPENDIX A IN-DEPTH DESCRIPTION
- Page 99 and 100: APPENDIX A. IN-DEPTH DESCRIPTION OF
- Page 101 and 102: APPENDIX A. IN-DEPTH DESCRIPTION OF
- Page 103 and 104: 95 APPENDIX B CONNECTIONS BETWEEN S
- Page 105 and 106: APPENDIX B. CONNECTIONS BETWEEN STA
- Page 107 and 108: APPENDIX B. CONNECTIONS BETWEEN STA
- Page 109 and 110: APPENDIX B. CONNECTIONS BETWEEN STA
- Page 111 and 112: APPENDIX B. CONNECTIONS BETWEEN STA
- Page 113 and 114: 105 APPENDIX C RATIONALES FOR THE S
- Page 115 and 116: APPENDIX C. RATIONALES FOR THE SELE
- Page 117 and 118: APPENDIX C. RATIONALES FOR THE SELE
- Page 119 and 120: APPENDIX C. RATIONALES FOR THE SELE
- Page 121 and 122: APPENDIX C. RATIONALES FOR THE SELE
- Page 123 and 124: APPENDIX C. RATIONALES FOR THE SELE
- Page 125 and 126: 117 APPENDIX D UNDERSTANDING TEXT C
- Page 127 and 128: 119 APPENDIX E PREPARING STUDENTS F
- Page 129: APPENDIX E. PREPARING STUDENTS FOR
- Page 133 and 134: 125 APPENDIX F BIOGRAPHICAL SUMMARI
- Page 135 and 136: APPENDIX F. BIOGRAPHICAL SUMMARIES
- Page 137 and 138: APPENDIX F. BIOGRAPHICAL SUMMARIES
- Page 139 and 140: APPENDIX F. BIOGRAPHICAL SUMMARIES
- Page 141 and 142: APPENDIX F. BIOGRAPHICAL SUMMARIES
- Page 143 and 144: APPENDIX F. BIOGRAPHICAL SUMMARIES
- Page 145 and 146: APPENDIX F. BIOGRAPHICAL SUMMARIES
- Page 147 and 148: 139 APPENDIX G STAKEHOLDERS AND THE
- Page 149 and 150: APPENDIX G. STAKEHOLDERS AND THE CO