Function Chapter – Honors Precalculus

I made a few changes to my first honors precalculus chapter this semester. Having gone through a whole course with my INB once, I decided I had a lot more room and didn’t need to cram a lot of information on one page. The unit starts out discussing functions and all that is related, domain, range, notation… I got the vocabulary sheet from Math=Love blog, just retyped it myself to have 2 per page rather than 6.

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The inside of this notesheet is modified a bit from last term…I think students made the transition from inequality notation to interval notation a lot easier by starting with that, then discussing domain and range from the graphs. I’m trying to emphasize the importance of color a lot more this term, and students seem to be taking to that better than last semester as well. Some were even using color on the short answer portion of their test at the end of the chapter.

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This even/odd functions page is new…Students weren’t sure about taking notes without a notesheet in their INBs, but mine were planned out enough that I could tell them to divide up the page into three sections to be sure they had enough room.

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So is the brochure-like page about Analyzing Functions. I wanted it to make more sense to me, hopefully then making sense to the students a little better. The Left Hand Side activities and problems are also causing me to assign less homework problems, because there is time set aside in class to do some practice that most students seem to get done because they know they will get immediate feedback on it.

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My last INB did not have a Difference Quotient/Rate of Change page…I changed that here.

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DQs are still a work-in-progress. I have to remember to keep assigning one of these here and there. Next, graphing topics and operations on functions.

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I think my students appreciated the little graph squares on the piecewise functions pages. It made it easier to budget space as well as to keep the graphs neat. I think as far as the composition of functions go, I need to put more emphasis on determining functions that were composed together (breaking down the composition) because that is how they will be used the most in Calculus. This unit, I did a few group activities too. One is a translations assignment: Translations_and_the_Coordinate_a_b_GW1. The others are saved at school, and I will try to remember to post them later!

180 – Day 10

We made it to double-digits! Honors Precalculus was once again on the graphing kick…working more with piecewise functions, which we started on Friday. I used notes I found on Sam Shah’s site, and they worked great! Today we reviewed a bit of piecewise, and applied the transformations with (a, b). When you put everything in one problem…it really gets the student’s brain churning!

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We then moved onto Operations on Functions, the last topic for this function chapter. I made a foldable to use for their notes. We got part-way through it in my block today. This too is review, but I’m really stressing the domains with students because there is less of an emphasis on that in Honors Advanced Algebra.

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180 – Day 4

In calculus and honors precalculus, we talked about domain and range and interval notation. I used a form of this foldable for both classes. It has implicit domain from equations as well as domain and range from graphs. It is review for both classes, but the interval notation was new to some students for some reason or another.

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If you’d like a copy.