Precalculus Resources: Spring 2017 Midterm II Review

I have gathered quizzes that relate directly to the upcoming midterm, as well as included a sample midterm. Please feel free to use these for practice! If you have trouble with the material, visit this page for additional resources. Don’t forget to grab a free version of wolfram alpha pro to help you if you’re enrolled at San Francisco State University!

Topics Covered:

  • 2.4: Polynomials
    • Vertex of a parabola
    • Determine the behavior of a polynomial near - \infty or \infty
  • 2.5: Rational Functions
    • Determine the behavior of rational functions near - \infty to \infty
    • Determine the vertical and horizontal asymptotes of a rational function
    • Determine the holes of a rational function, if they exist.
  • 3.1: Exponential and Logarithmic Functions
    • Their definitions as inverses
    • Practice using #23 – #32 in Precalculus – Prelude to Calculus, 3rd Ed. 
  • 3.2: Power Rule
    • Change of Base
  • 3.3: Product and Quotient Rule
    • Read p.249-p.252 for applications in scientific settings
  • 3.4: Exponential Growth
    • Compound Interest (n times per year)
  • 3.5: e and the Natural Logarithm
    • Understanding the definition of e will enhance your understanding of proofs later on. For now, we know it’s a real number that is approximately equal to 2.71, and it’s associated with Continuous growth!
  • 3.7: Exponential Growth Revisited
    • Read p.304-p.306 for an application of the approximation methods discussed in 3.6 used in financial estimations.
    • Focus on Continuous Compound Interest
  • 4.1: Unit Circle
  • 4.2: Radians
    • Make sure you can convert between degrees and radians.
  • 4.3: Sine and Cosine
    • Definition using unit Circle
    • Domain and Range of Sine & Cosine
    • If you want a challenge, try answering #45 from this section.

Quiz 5:

Review for 2.4 & 2.5

Khan Academy Videos:

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Precalculus Resources: Spring 2017 Midterm I Review (Section 0.1 – 2.2)

I have gathered quizzes that relate directly to the upcoming midterm, as well as included a sample midterm. Please feel free to use these for practice! If you have trouble with the material, visit this page for additional resources. Don’t forget to grab a free version of wolfram alpha pro to help you if you’re enrolled at San Francisco State University!

Quizzes #1 – #4:

Practice Midterm:

Precalculus Resources: Intro & Review of Functions

In the first couple of chapters, Dr. Axler covers the properties of real numbers, and gives a throughout exploration of functions in his textbook for Math 199 (Precalculus at SFSU).

Flashcards

You can take the file to a print shop to have directly printed and cut for you, or print it double sided on regular paper and cut + paste onto index cards. Get creative!

Helpful Khan Academy Videos:

More resources to come!

Teacher Evaluations & Reflection, Fall 2016

Teacher Evaluations are out at SFSU. 😀

From my students’ responses, I learned that I can improve in the following ways:

  • Plan what I will write on the board in more detail instead of such a rough sketch,
  • “Don’t let nerves cause mistakes” – definitely happened 2-3 times where I did a problem incorrectly because I tried to wing it on the board…
  • More intensive examples that can tie different concepts together before the midterm (where they do see synthesized word problems),
  • On Universal Design:
    • Group work that involve manipulatives, geared for kinesthetic/tactile learners,
    • Audio / Visual learners balance – I tend to write a conclusion and verbally say a paragraph of explanations.
  • On Long Term Planning:
    • More group work for inverse trig functions and beyond,
    • Maybe building a story that can be used for the concept questions during class?
    • Manage expectations earlier – students will need to work and figure out a lot of stuff on their own,
    • Create systems that can help students organize all the information – give suggestions on how to take notes, maybe?
    • Give more time to do Chapters 4-6, Trigonometry chapters of the book.
  • On Class Policy:
    • Attendance and participation should be recorded more in detail,
    • Be better about grading and returning stuff promptly – I definitely procrastinate on handing back quizzes sometimes. (No one complained about this but I still feel bad about it.)

Looking forward to teaching next semester! I will teach one class of precalculus and TA one section of Calc II. I wonder how different TA’ing for Calculus II will feel. 🙂