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How can I evaluate and interpret the meaning of a definite integral?

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.

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How can I evaluate and interpret the meaning of a definite integral?

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  1. 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: • (10) Do Now • (5) Introductions • (20) Review key definite integral concepts and techniques. • (10) Course expectations • (5) Homework Assignment

  2. 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.

  3. Introductions • Who is Ms. Barmore? • Why has Ms. Barmore chosen to spend her life teaching math? • Where in the world has Ms. Barmore taught? • What’s Ms. Barmore’s job at PHA? • Your questions….. • Who are you? • Name. • Years at PHA. • One thing you enjoy about math. • One thing you are looking forward to senior year.

  4. Course Expectations Popcorn: • One person reads and expectation paragraph. • Pause for any questions. • Popcorn to a new person to read. • Repeat.

  5. Math Biography Write 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?

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