Jason
Slowbe
GREAT OAK HIGH,
TEMECULA,
CA

12th Grade Math :
Unit #9 - Full Course Review via Motion :
Lesson #13

Objective:
SWBAT to apply the Fundamental Theorem of Calculus (FTC) to model and solve problems using integration.

1 Video Narrative - Lesson Overview -
0 minutes

Cookies and Pi, Video Narrative, Lesson Overview.mov

https://betterlesson.com/lesson/section/5099/cookies-and-pi
2 Warm-Up + Homework Review -
30 minutes

resources

Lesson Plan - Cookies and Pi, Warm-up and Homework Review.docx

https://betterlesson.com/lesson/resource/2814605/lesson-plan-cookies-and-pi-warm-up-and-homework-review-docx
Video Reflection

Real World Applications

Cookies and Pi - Video Reflection, Warm-up and Homework Review.mov

https://betterlesson.com/lesson/section/2499/cookies-and-pi
3 Setting the Stage -
40 minutes

resources

Trace Area under curve v1.ggb

https://betterlesson.com/lesson/resource/1952705/trace-area-under-curve-v1-ggb
Lesson Plan - Cookies and Pi, Setting the Stage.docx

https://betterlesson.com/lesson/resource/2814603/lesson-plan-cookies-and-pi-setting-the-stage-docx
4 Investigation -
45 minutes

resources

Cookies and Pi basic applet.ggb

https://betterlesson.com/lesson/resource/1952703/cookies-and-pi-basic-applet-ggb
Lesson Plan - Cookies and Pi, Investigation.docx

https://betterlesson.com/lesson/resource/2814601/lesson-plan-cookies-and-pi-investigation-docx
5 Closure + Homework -
5 minutes

**Closure Activity: **Explain to your neighbor how we used the Fundamental Theorem of Calculus today in class. Be specific about each use of the two parts of the FTC.

I want my students to understand the two parts of the FTC informally:

1) Derivatives and integrals “undo” each other

2) Definite integrals can be evaluated by computing the difference between the integrated function evaluated at the upper and lower limits of integration.

Our work with variable limits of integration, including on the warm-up, graphically with the Trace Area Under Curve v1 applet, and with the Cookies and Pi applet, rely heavily on part 2 of the FTC but obviously we cannot exclude the relevance of part #1 either.

**Tonight’s Homework:**

F - 1988 #40, 1993 #34,

I - By Hand, evaluate RRAM_{4} for on the interval .

V - TEXTBOOK – read examples, solve problems evaluating definite integrals with variable upper limits of integration given graphs.

E - Set 6: 1969 #41, 1973 #42, 1985 #42, 1988 #39, 1993 #12,41, 2003 #77

resources

Lesson Plan - Cookies and Pi, Closure + Homework.docx

https://betterlesson.com/lesson/resource/2814599/lesson-plan-cookies-and-pi-closure-homework-docx
Lesson Plan - Cookies and Pi, Closure + Homework.pdf

https://betterlesson.com/lesson/resource/2814600/lesson-plan-cookies-and-pi-closure-homework-pdf