350.1 Calculus, Honors, Grade 12, Full Year, 5.00 credits
This course will focus on the central concepts of calculus. It will emphasize problem solving and present students with realistic applications as well as open-ended problems. Concepts will be presented graphically, numerically, algebraically, and verbally. Topics include limits and continuity, differentiation and integration of functions including polynomial, radical, exponential, logarithmic, rational and transcendental functions. Students will apply calculus approaches to solve real world problems such as calculating areas, volumes, work, related rates, optimization and rates of change. Students are given daily assignments and should expect to spend as much as 45 minutes per night completing them. A graphing calculator is required. Students may elect to take the Advanced Placement Calculus AB exam in May. The curriculum is guided by the CollegeBoard® National Curriculum.
Equity: In this course, everyone has the right to be heard, therefore when someone is speaking listen respectfully. Do not belittle anyone’s comments. If you disagree with a statement, make sure you can defend your position respectfully.
Question often: Mathematics is all about making connections and seeing patterns. It is important that when you walk into the classroom, you are open to investigate, make and test conjectures. Also, it is imperative that you persevere through assigned tasks and ask for help often.
Mistakes are learning opportunities: This is a high level course and as such you will not know all of the answers/concepts immediately. In this course we will conduct inquiries, test them and consequently make many mistakes. Share your mistakes with the class so that we can all explore those mistakes and gain a deeper understanding of the mathematics.
Contribute to the learning: Since we all have different experiences everyone’s contribution is important to the class. Therefore, if you have different ways of seeing a problem or arriving at a solution it is important that you share your approach.
https://www.desmos.com/calculator
http://ocw.mit.edu/resources/res-18-006-calculus-revisited-single-variable-calculus-fall-2010/
http://www.khanacademy.org/#calculus
https://www.onlinemathlearning.com/calculus-help.html
http://archives.math.utk.edu/visual.calculus/
http://tutorial.math.lamar.edu/
https://online.math.uh.edu/HoustonACT/
Full length Calculus explanations on AP Calculus topics:
http://www.centerofmath.org/video_ap.html
https://www.varsitytutors.com/ap_calculus_ab-practice-tests
Calculus Video Explanations:
http://apcalculusnmsi.wikispaces.com/Applications+of+Integration
Demonstration of Volume of Solids of Revolution:
http://demonstrations.wolfram.com/SolidsOfKnownCrossSection/
Calculus Practice Problems:
http://online.math.uh.edu/Math1431/
http://designatedderiver.wikispaces.com/Getting+ready+for+the+AP+Test
http://www.free-test-online.com/ap-calculus-ab
Questions on each topic:
http://www.math.ucdavis.edu/~kouba/ProblemsList.html
Calculus Trivia Quizzes and Games
http://www.sporcle.com/games/tags/calculus