# Course Project Sample Unit

### Calculus Areas and Volumes of Revolution

## Lesson #1 Target: Use calculus to find area between two curves.

Activity: Introduce a math problem using Bombay TV.

(McCain: Problems first, Teaching Second)

Have students work together to solve the problem.

(Collaboration Fluency)

Afterwards discuss solutions.

(McCain: Resist Temptation to Tell)

Was anyone close? How did they get their answer? Introduce and demonstrate the calculus formula for area between two curves. Ask students to try it on their own.

Use Twitter to send the practice assignment.

(Media Fluency)

Before students leave, have them write a 7-word essay about today's learning.

(Formative Assessment)

(McCain: Problems first, Teaching Second)

Have students work together to solve the problem.

(Collaboration Fluency)

Afterwards discuss solutions.

(McCain: Resist Temptation to Tell)

Was anyone close? How did they get their answer? Introduce and demonstrate the calculus formula for area between two curves. Ask students to try it on their own.

Use Twitter to send the practice assignment.

(Media Fluency)

Before students leave, have them write a 7-word essay about today's learning.

(Formative Assessment)

## Lesson #2 Target: Calculate volumes of revolution by the Disk Method.

Activity: Students watch a u-tube demonstration of volumes of revolution. Emphasis on real-world examples.

(McCain: Stop Decontextualized Content)

Can they discover more examples from the world around them?

(Creativity Fluency)

Demonstrate the Disk Method and have students try it independently.

Formative assess by having students add thoughts to a wall.

(McCain: Reevaluate Evaluation)

(McCain: Stop Decontextualized Content)

Can they discover more examples from the world around them?

(Creativity Fluency)

Demonstrate the Disk Method and have students try it independently.

Formative assess by having students add thoughts to a wall.

(McCain: Reevaluate Evaluation)

Solid of Revolution--Animated

## Lesson #3 Target: Calculate Volume by Washer

Activity: Have students answer a polleverywhere.com question. What is the volume of a specific right circular cylinder with a hole in the center?

(McCain: Withdraw from Helping)

Demonstrate formula and have students try it on their own.

(Solution Fluency)

Twitter the practice ssignment.

For the last 15 minutes of class, have students create a cartoon that relates to the math of today's lesson on toondo.com.

(McCain: Stop Giving Students the Final Product of our Thinking)

(McCain: Withdraw from Helping)

Demonstrate formula and have students try it on their own.

(Solution Fluency)

Twitter the practice ssignment.

For the last 15 minutes of class, have students create a cartoon that relates to the math of today's lesson on toondo.com.

(McCain: Stop Giving Students the Final Product of our Thinking)

## Lesson # 4 Target: Calculate volumes of revolution by the Shell Method.

Activity: Have students watch a storybird about this method.

(Information Fluency)

Demonstrate and practice.

extension: Have students create a movie or music video that teaches this method.

(Creativity Fluency)

(Information Fluency)

Demonstrate and practice.

extension: Have students create a movie or music video that teaches this method.

(Creativity Fluency)

Calculus Rhapsody

## Day 5: Summative Assessment -written Quiz at end of unit

Have students demonstrate the learning targets.

Rubric:

Level 4 * Exceeds Expectations -solutions are correct

-written work validates answers

-writing shows organization and good form

Level 3 * Meets Expectations - solutions are correct

- written work provides some validation

Level 2 * Emerging Expectations -solutions partly correct

-written work attempted

Level 1 * Below Expectations -solutions incorrect

-written work is missing

Rubric:

Level 4 * Exceeds Expectations -solutions are correct

-written work validates answers

-writing shows organization and good form

Level 3 * Meets Expectations - solutions are correct

- written work provides some validation

Level 2 * Emerging Expectations -solutions partly correct

-written work attempted

Level 1 * Below Expectations -solutions incorrect

-written work is missing