HOW CAN I EVALUATE AND INTERPRET THE MEANING OF A DEFINITE INTEGRAL?

Take out:

Pencil/pen & paper

HW:

Math Biography

Parent signature on letter of expectations.

Do Now:

Without talking, evaluate the following integral at least TWO DIFFERENT WAYS. Show all your work.

If you are stuck, write a paragraph explaining what you remember and where you are stuck.

Objectives: Use three distinct methods to

evaluate the definite integral of a linear function.

Interpret the meaning of a definite integral in a real world situation.

Identify course expectations.

Agenda:

1. (10) Do Now

2. (5) Introductions

3. (20) Review key definite integral concepts and techniques.

4. (10) Course expectations

5. (5) Homework Assignment

4

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WHAT CAN A DEFINITE INTEGRAL TELL US?

Suppose the function

modeled the velocity (in meters/sec) of the redline train t seconds after leaving Porter Square this morning.

Silently write WHAT represents

AND explain how you know.

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4

1

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INTRODUCTIONS

1. Who is Ms. Barmore?1. Why has Ms. Barmore chosen to spend her life

teaching math?2. Where in the world has Ms. Barmore taught?3. What’s Ms. Barmore’s job at PHA?4. Your questions…..

2. Who are you?1. Name.2. Years at PHA.3. One thing you enjoy about math. 4. One thing you are looking forward to senior

year.

COURSE EXPECTATIONS

Popcorn: One person reads and expectation

paragraph. Pause for any questions. Popcorn to a new person to read. Repeat.

MATH BIOGRAPHYWrite a one page math biography. Questions you

may use to prompt your thinking: What aspects of mathematics do you think you are

“good” at? “bad” at? Why? Describe a time when you struggled to understand

something in math class. What helped you overcome your difficulty the most?

What do you enjoy about math? What do you dislike?

Name one goal you have for yourself in this course. Do not name a grade or AP score– if this is where your brain goes, instead think about what you would need to do to earn that grade/score.

What else do I need to know about you to be a good teacher?