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 1B course that I teach to at-risk secondary students has been significantly honed over 8 years. This is the 4th unit of the 2nd semester course that has proven to be valuable over this time-frame.
This unit emphasizes a LOT of algebra and a LOT of GRAPHING. I like this very much as it ends up appealing to the artistic sense of a lot of students. Furthermore, multiple inequalities can lead to very, very interesting word problems in their future courses. I say this because, as in my other writeups on this website, this course was geared for at-risk students but so many of them end up pretty good or really good at math!
You will find out that most of your secondary students do not know as much as they think about these topics--even if they were with you during the first semester! 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.
EIGHT skill areas are included--from the Common Core's 6th grade and HS--as well as skills outside of the Common Core. BUT YOU WILL SEE THAT THE MAJORITY OF KIDS SIMPLY HAVE NOT UNDERSTOOD THIS STUFF.
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.
SIX 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 NONE that are 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.]
BUNDLES: The entire 2nd semester course is posted here as: HS [Remedial] Algebra 1B FULL textbook-less course (BUNDLE)
The prior unit is Unit 3: Absolute Value Equations
and the next one is Unit 5: Exponents & Radicals
The 2 semesters of Algebra 1 that I have had to concoct and hone over the last decade are the HS [Remedial] Algebra 1A Sampler: (textbook-less course)
and the HS [Remedial] Algebra 1B Sampler: (textbook-less course)
You might also want to check out the the Grade 9-12 Summary