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12th Grade Math

(10 Units, 104 Lessons)

Unit 9 - Full Course Review via Motion(17 Lessons)

Limits and l'Hospital

12th Grade Math

» Unit:

Full Course Review via Motion

Big Idea:Today it’s back to square one as we revisit limits and add the very useful l’Hospital’s Rule to students’ algebraic repertoires.

21 Resources

2 Favorites

21 Resources

2 Favorites

Know Your Limits

12th Grade Math

» Unit:

Full Course Review via Motion

Big Idea:This lesson continues our review of evaluating indeterminate limits with l’Hospital’s Rule, and then revisits the difference quotient.

14 Resources

0 Favorites

14 Resources

0 Favorites

Local Linearization, 1st and 2nd Derivative Tests, and Computing Derivatives

12th Grade Math

» Unit:

Full Course Review via Motion

Big Idea:We’ve justified interest in derivatives conceptually; we now review computing derivatives algebraically and some mathematical applications.

18 Resources

0 Favorites

18 Resources

0 Favorites

Derivatives Algebraically and Graphically

12th Grade Math

» Unit:

Full Course Review via Motion

Big Idea:Derivatives make much more sense conceptually when investigated through both algebraic and graphical perspectives. Today we do both.

19 Resources

0 Favorites

19 Resources

0 Favorites

The Calculus of Motion

12th Grade Math

» Unit:

Full Course Review via Motion

Big Idea:Derivatives and integrals are fundamentally related to each other. What better way to illuminate those relationships than applied motion?

16 Resources

2 Favorites

16 Resources

2 Favorites

Motion - Velocity on Intervals

12th Grade Math

» Unit:

Full Course Review via Motion

Big Idea:Original function, 1st derivative, 2nd derivative → Position, velocity, acceleration. Let’s investigate some motion applications.

18 Resources

0 Favorites

18 Resources

0 Favorites

Motion - Distance vs Displacement

12th Grade Math

» Unit:

Full Course Review via Motion

Big Idea:How far did you run? Students will distinguish between distance traveled and displacement, then represent each with integrals.

19 Resources

1 Favorites

19 Resources

1 Favorites

Motion - With Multiple Derivatives

12th Grade Math

» Unit:

Full Course Review via Motion

Big Idea:Let’s Move! With two different applets, students use precise math language to describe and answer questions in context about linear motion.

32 Resources

0 Favorites

32 Resources

0 Favorites

Motion and Optimization

12th Grade Math

» Unit:

Full Course Review via Motion

Big Idea:Spring break is here, but Calculus does not need a break. Today we finish optimization and motion, then preview the spring break assignment.

21 Resources

0 Favorites

21 Resources

0 Favorites

Calculus and My Car's Dashboard

12th Grade Math

» Unit:

Full Course Review via Motion

Big Idea:Did you ride in a car today? Then you witnessed calculus! This lesson introduces a mini-project applying the calculus of motion.

24 Resources

3 Favorites

24 Resources

3 Favorites

Rockin' Related Rates

12th Grade Math

» Unit:

Full Course Review via Motion

Big Idea:Related Rates problems come alive for students through modeling and dynamic applets.

26 Resources

0 Favorites

26 Resources

0 Favorites

Meet My Friend Riemann

12th Grade Math

» Unit:

Full Course Review via Motion

Big Idea:Students reconsider the task of approximating areas under curvy functions, then improve their approximations to perfection. Hello integrals!

25 Resources

1 Favorites

25 Resources

1 Favorites

Cookies and Pi

12th Grade Math

» Unit:

Full Course Review via Motion

Big Idea:Everyone loves cookies, even calculus students. Students apply their knowledge of integration to divide a special cookie fairly.

22 Resources

0 Favorites

22 Resources

0 Favorites

Accumulate This!

12th Grade Math

» Unit:

Full Course Review via Motion

Big Idea:Why do integrals with variable upper limits of integration produce functions? Students answer this question with multiple representations.

20 Resources

0 Favorites

20 Resources

0 Favorites

Wait, the Interval Width Varies?

12th Grade Math

» Unit:

Full Course Review via Motion

Big Idea:How can we interpret integrals with function limits of integration? Tables & graphs supplement symbolic representations for understanding.

25 Resources

0 Favorites

25 Resources

0 Favorites

Integrating Areas to Get Volumes

12th Grade Math

» Unit:

Full Course Review via Motion

Big Idea:Integrating area gives volume. But why? Students will answer this question in two different but related ways.

28 Resources

0 Favorites

28 Resources

0 Favorites

More Areas and Volumes

12th Grade Math

» Unit:

Full Course Review via Motion

Big Idea:Students think algebraically and graphically to analyze common errors in setting up integrals for finding volumes of solids of revolution.

25 Resources

0 Favorites

25 Resources

0 Favorites