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AP Calculus Learning Goals
Erica Reese, Math Instructor
Emma Willard School
Troy, NY

 AP Calculus Learning Goals: NAME: ____________________ Instantaneous rate of change as the limit of average rate of change Modeling rates of change, including related rates problems Optimization, both absolute (global) and relative (local) extrema Interpretation of derivative as a rate of change in varied applied contexts, including velocity, speed, and acceleration Limits at Infinity / Horizontal Aysmptotes Daily Work (Home/Class) Activities - 50 POINTS Technology - 25 POINTS Projects - 30 POINTS * Listen to lecture / take notes 1. Estimating the Probability of Shared Birthdays (pg. 99 FDWK) (10) 1. pg. 112: 79, pg. 122: 72, and pg. 133: 80 (10) 1. Lab Activity 5 "More Ice Cream Please" (25) (5 pts EACH day) (30 possible) ______ 6 DAYS Rates of Change (20) 2. Cardiac Output (pg. 239 FDWK) (15) 2. pg. 149: 51, pg. 152: 80, 85 (10) 2. Writing Assignment 5 "The Meaning of Mean" (20) 1. pg. 111: 65-84; pg. 132: 75-79 odd; pg. 151: 71-73, 77-79, 86 3. Lab Activity 7 "How Many Licks?" (20) 3. pg. 178: 59 (5) Interpreting the Derivative (20) 3. Section Project "Rainbows" (pg. 178) (20) 2. pg. 123: 87-90; pg. 132: 76, 78; pg. 151: 74-76; pg. 168: 43-46; pg. 185: 54-59 4. Exploration 8-3 "Maximal Cylinder in a Cone Problem" PF (15) 4. pg. 195: 69, 70 (5) 4. Write an original 30 problem test with 15 multiple choice questions 14 open-ended question and 1 essay. Give it to a classmate and grade. Turn in blank copy, key copy, and student copy. (20) 5. Exploration 10-3 "Average Velocity" PF (15) 5. Create a Power Point presentation on one of the 6 Learning Goals. See me for a rubric. (10) Optimization (20) 3. pg. 162: 49, 51, 52; pg. 177: 52, 57; pg. 186: 61, 63-66 6. Exploration 10-5 "Introduction to Minimal Path Problems" PF (15) 5. Create a College Comparison Worksheet of no fewer than 8 items per topic (Admissions, Academic Life, Student Body, Campus Life, Costs/Financial Aid). Choose 3 Universities (Sure Thing, Middle Ground, Long Shot) and complete a College Comparison Worksheet for each one. Hypothesize what makes the Long Shot school so selective compared to the others. (20) 4. pg. 210: 7-10, 13-17, 21, 22, 24-28 6. Internet Activities of your choice pertaining to 2 Learning Goals listed above. Must Include URL, printout of screens and a summary of what was learned. (10) Limits at Infinity (20) 7. Exploration 10-4 "Introduction to Related Rates" PF (15) 5. pg. 193: 1-6, 11-26, 62, 65-67 Related Rates (20) 8. Exercises on Slopes & Speeds CH (10) 6. pg. 146: 11-34, 41-47 1. ____ ____ ____ ____ ____ Your Level of Mastery… Notes 2. ____ ____ ____ ____ ____ ________ Grading Scale: (235 Possible) Homework A 201 - 235 6. Create a poster for one of the 6 learning goals to put on the wall. You must include vocabulary, figures, guidelines for completing problems, and some creativity (5 points each) 3. ____ ____ ____ ____ ____ ________ B 169 - 200 Activities C 121 - 168 4. ____ ____ ____ ____ ____ ________ D 100 - 120 Technology Bonus Points: POINTS 5. ____ ____ ____ ____ ____ ________ TOTAL POINTS Date: _____________ _______ Projects 6. ____ ____ ____ ____ ____ ________ GRADE Teacher Signature: Bonus ________ Daily Work will be Assessed Using NoteCards / Activities & Technology & Projects Must be Submitted by Monday 11/3 @ 8:00 AM