AP Calculus Learning Goals

Erica Reese, Math Instructor

Emma Willard School

Troy, NY

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 |
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* 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 |
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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… |
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Notes |
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2. ____ ____ ____ ____ ____ | ________ | Grading Scale: (235 Possible) |
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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 |
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Activities |
C |
121
- 168 |
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4. ____ ____ ____ ____ ____ | ________ | D |
100
- 120 |
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Technology |
Bonus Points: |
POINTS | |||||||

5. ____ ____ ____ ____ ____ | ________ | TOTAL POINTS |
Date: _____________ | _______ | |||||

Projects |
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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 |