MA12.5 Curriculum Map
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Contents |
August
Content and Essential Skills
- What is a derivative?
Skills
- find the rate of change from a chart or graph.
- find the integral from a chart or graph
Assessment
test
Resources
Optional
September
Content and Essential Skills
- What are the properties of limits?
- What is continuity?
Skills
find a limit numerically, limits involving infinity, intermediate value theorm
Assessment
work sheet and quiz
Resources
Optional
October
Content and Essential Skills
- Is derivative a limit?
- How do you take the derivative of a product or quotient?
Skills
product and quotient rules for derivative, use the power rule, chain rule , derivatives of trig functions, find anti-derivatives and find the derivatives of parametric equations.
Assessment
two tests and worksheet
Resources
Optional
November
Content and Essential Skills
- What is an integral?
Skills
linear approximation and differentials,Riemann sums, the fundamental theorem of integral calculus, mean value theorem
Assessment
test
Resources
Optional
December
Content and Essential Skills
- What is a natural log?
Skills
derivatives and anti-derivatives of logs , limits of rational functions, L'Hospital rule.
Assessment
test
Resources
Optional
January
Content and Essential Skills
- How do things grow exponentially?
Skills
exponential growth and decay, slope fields, Eulers method
Assessment
test
Resources
ap cal book
Optional
February
Content and Essential Skills
- How do you find the length, area volume of curves and shapes?
Skills
area of plane regions, volumes by shells and discs, find the surface area of revolutions.
Assessment
test
Resources
ap cal book and practice ap test questions
Optional
March
Content and Essential Skills
- How do you integrate elementary function?
Skills
Integration by parts, reduction formulas, trig substitution, partial fractions, integration of inverse trig functions
Assessment
test
Resources
ap cal book and ap test questions
Optional
April
Content and Essential Skills
- How are displacement and velocity and acceleration related?
Skills
find distance, displacement, velocity and acceleration for linear motion , solve average value problems, minimal path problems, vector functions for motion.
Assessment
test
Resources
ap cal book and practice ap test questions
Optional
May
Content and Essential Skills
- How do you figure the amount of work done?
Skills
figure work done by a variable force ,mass of a variable density object, moments, centroids, center of mass, forces exerted by a variable pressure.
Assessment
test
Resources
ap cal book and practice ap test questions
Optional
