CTRA Precalculus

Blog about the teaching/learning of my flipped, PBL precalculus classes

Wednesday, May 8, 2013

Day 58-60 - Cumulative Check-in

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Scholars completed a cumulative check-in that is based on all of the material that has been covered so far this year. The review took a lot ...
Monday, April 29, 2013

Day 57 - Review from the Year So Far

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Students worked on the material from the beginning of the year up until now. The problems involved the following: Midpoint, distance form...
Wednesday, April 24, 2013

Day 56 - Logarithms

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Students worked on their assessment for logarithms and exponential functions. This will be the last day that we will be working this materia...
Monday, April 22, 2013

Day 55 - Exponential and Logarithmic Functions

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Students worked on the finishing their understanding of exponential and logarithmic functions. In an effort to save time, I allowed the st...
Wednesday, April 17, 2013

Day 54 - Logarithms

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Teaching logarithms was a bit of a challenge, but once students found out that they were nothing more than the opposite of exponents, it hel...
Monday, April 15, 2013

Day 53 - Exponential Functions

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Students went over the basics of exponential functions in class today and broke down the characteristics of them. This included such thing...
Wednesday, April 10, 2013

Day 51-52 - Rational Functions

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Students worked on reviewing the ideas behind rational functions. The most important parts that we looked at included: Finding the roots ...
Wednesday, March 27, 2013

Day 49-50 - Rational Functions

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Students began work on analyzing the components of rational functions. Being that it is the week before spring break, the students seemed a ...
Monday, March 18, 2013

Day 47 - Rational Roots Theorem (cont'd)

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Students continued their work on Rational Roots Theorem and prepped for the next section on Rational Functions.
Wednesday, March 13, 2013

Day 46 - Rational Roots Theorem (cont'd)

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Students continued their work through the Rational Roots Theorem. Luckily for me, one of my students mentioned to me that they want to becom...
Monday, March 11, 2013

Day 45 - Rational Roots Theorem

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Most of the class started the basics behind Rational Roots Theorem. The issue that many of them were having came with the proof that I used ...
Wednesday, February 27, 2013

Day 43-44 - Rational Roots Theorem

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Some students started their work on framing the ideas behind Rational Roots Theorem in their mind. None of the students were ready to take t...
Friday, February 22, 2013

Day 42 - Remainder Theorem and Factor Theorem

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Things went well in my first class. Mostly due to the fact that the Internet was working. During the second class when I had to get observed...
Wednesday, February 20, 2013

Day 41 - Quadratic Review

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Students completed a quadratic review that was gone over because of the lack of a school day from the blizzard, Nemo. Surprisingly, it took ...
Wednesday, February 13, 2013

Day 40 - Complex Numbers Review

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Students completed a complex numbers review. In order to take a quadratic formula exam involving complex roots of quadratics. This was meant...
Wednesday, February 6, 2013

Day 39 - Synthetic Division/Complex Numbers

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The students finished their pre-assessment on synthetic division. From here, we will be going to finding the roots of polynomials. Before we...
Monday, February 4, 2013

Day 38 - Synthetic Division

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Students seemed to do well with synthetic division. I feel as though they will do well on the exam covering this material. The standard that...
Wednesday, January 30, 2013

Day 37 - Long Division of Polynomials Exam

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Students completed the long division of polynomials exam. The exam covered the following standard: Rewrite simple rational expressions in...
Monday, January 28, 2013

Day 36 - Long Division of Polynomials

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Students continued their work on long division of polynomials and completed a pretest on them. The results were as expected. I am finding...
Sunday, January 27, 2013

Day 35 - Long Division of Polynomials

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Students completed exercises related to long division of polynomials. Using the rules from long division of ordinary numbers, many students ...

Day 34 - Parent Functions and Power Functions

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Students completed a bell ringer in which they found a piecewise function to describe y = |x|. Many of the students got  answers without mu...
Wednesday, January 9, 2013

Day 33 - Standard 7b Assessment

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Students completed the Standard 7b assessment on the following functions: square root cubic absolute value piecewise The next chall...
Monday, January 7, 2013

Day 32 - Square Root, Cubic, Absolute Value, and Piecewise Functions

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Students completed various activities involving the graphing of different types of functions as explained by CCSS. GeoGebra was used to hel...
Wednesday, January 2, 2013

Day 31 - First Day Back!

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Some of the students' grades have been slipping as of late. In an effort to get them back into the swing of things, I treated this two d...
Wednesday, December 19, 2012

Day 30 - Seems a lot like Day 29

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The students seem to be focusing on their upcoming winter break rather than the material that we have been covering in class. Nothing much t...
Monday, December 17, 2012

Day 29 - More Quadratics

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I feel like things are taking a lot longer than they should be. I want to be done with quadratics, but I feel as though the students still d...
Wednesday, December 12, 2012

Day 28 - Last Day of Quadratics

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The students covered the ideas behind -b/(2a) for finding the x coordinate of the vertex. The students struggled with the understanding of w...
Tuesday, December 11, 2012

Day 27 - Key Features of Quadratic Functions

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Students completed exercises involving finding the x and y-intercepts of quadratic functions. They ran into trouble when we were going over ...
Wednesday, December 5, 2012

Day 26 - Linear vs. Quadratic Intercepts

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Today's lesson involved finding the intercepts of both linear and quadratic functions. The students were surprisingly not as comfortable...
Tuesday, December 4, 2012

Day 25 - Standard 7 Pre-Assessment

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Students took the new Standard 7 pre-assessment. They will be taking the same exam over once we cover all of the challenges for the standard...
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Mr. Ozarka
I used to be a musician turned chemist turned teacher. I have been teaching math and science for the last eight years. This includes mostly physics, chemistry, precalculus, and algebra. I have a two bachelors degree from Purdue University - one in chemistry and another in secondary education. I have two masters degrees - one in educational leadership and another in mathematics. I have a lot of opinions and try to hash them out on Twitter and Blogger. I'm always looking to chat about all things math/science/life. Follow me @mrozarka.
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