# HS Algebra 2B UNIT 5: Function Operations (5 wrkshts;7 quizzes)

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MY APPROACH TO TEACHING and to the offered UNITS on this website is to pepper the worksheets (and, optionally, the quizzes) with informational guides that serve as text-book-like how-to instructions. How the teacher puts it all together is left to that teacher's unique approach to teaching. In other words, these offerings are PROBLEM-BASED and not lesson-plan based. The difference is profound. I do not pretend to know how you should speak to your students and refuse to offer canned lesson plans--the material will serve as your own guide as well as for the students themselves. I DO INCLUDE a "READ ME FIRST" text file giving what has worked well for me.

The Algebra 2B course that I teach to at-risk secondary students has been significantly honed over several years. This is the 5th unit of the 2nd semester course (or the 4th unit if the Polynomial Functions from the 1st semester need not be covered again) that has proven to be valuable over this time-frame.

This unit concerns a STUDY OF COMPOSITE FUNCTIONS, INVERSE FUNCTIONS and PARAMETER CHANGES on SEVERAL FAMILIES of FUNCTIONS. It is challenging mostly because of the fact that the material is new to most students. It is meant, as all of these units are, to offer more than a good introduction to these concepts. I cannot stress too greatly that you MUST have a love for this subject if you are to turn anyone around.

INCLUDED is a TEACHER's GUIDE of every teaching reference utilized by the enclosed problems as well as every (large) diagram needed by the problems. From this alone the unit can be thought through and designed. Also included is a SPECIAL RUN of level 1 (simplest) problems that basically provides you with a preview of each of the skills.

TEN skill areas are included--all from the Common Core's secondary domains. BUT, as I say, YOU WILL SEE THAT THE MAJORITY OF KIDS SIMPLY HAVE NOT UNDERSTOOD THIS STUFF if they happen to have been exposed to it at some prior point (such as Algebra 1B or having failed Algebra 2).

Admittedly, you need to come up with unique and interesting ways to approach this material. It is CRUCIAL to the students' grasp of mathematics--trust me. I, myself, have experimented with all kinds of approaches.

FIVE worksheets are provided: one with 5 problems per skill; one with 8 problems per skill; one with 10 per skill; one with 15 per skill and one with 20 per skill. You decide which is best for you.

SEVEN quizzes (all with 10 problems each) are provided: TWO at a level 2 (not too hard); TWO at a level 3 (harder); TWO that are a mix of level 2 and 3 problems (I personally use these a lot) and ONE that is a mix of level 3 and 4 (hardest) problems.

Look at the 4 snapshots and the PREVIEW. Together, they encapsulate the approach taken fairly well.

[The problems in All WORKSHEETS and PREVIEWS are printed in difficulty (1 [easy], 2 [not so easy], 3 [proficiency] up to 4 [mastery]) order within a skill. The actual difficulty level appears slightly to the left of the DK box of each problem in a very small font. Also, instructional references appear on worksheets but are optional on quizzes.]

RELATED ITEMS:
The prior unit is UNIT 4: Exponential & Logarithmic Functions and the next is UNIT 6: Rational Expressions & Equations.

The 2 semesters of Algebra 2 that I have had to concoct and hone over the last decade are the HS [Remedial] Algebra 2A Sampler: (textbook-less course) and the HS [Remedial] Algebra 2B Sampler: (textbook-less course).

You might also want to check out the the Grade 9-12 Summary.
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