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. On the other hand, I DO INCLUDE a "READ ME FIRST" text file giving what has worked well for me.
The Pre-Algebra A course that I teach to at-risk secondary students has been significantly honed over 8 years. This is the first unit of a 2-semester course that has proven to be valuable over this timeframe.
This unit concerns the 3 properties of numbers and has several practice problems as well as conceptual problems and practical uses of the 3 properties. I GREATLY ENCOURAGE MENTAL MATH TECHNIQUES STARTING WITH THIS-THE FIRST-UNIT.
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.
NINE skill areas included: 7 3rd grade skills and 2 6th grade skills. The skills themselves are simply subsets of CC Standards. The very last skill is one aimed at understanding the somewhat mythical problem faced by Gauss when he, himself, was in elementary school!
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.
THREE worksheets are provided: one with 10 problems per skill; one with 20 per skill; and one with 30 per skill. You decide which is best for you.
SIX quizzes (all with 20 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).
[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 1st semester course is posted here as: HS [Remedial] Pre-Algebra A FULL textbook-less course (BUNDLE)
The next unit in the actual pre-Algebra course is
UNIT 2: PLACE VALUE
The 2 semesters of Pre-Algebra that I have had to concoct and hone over the last decade are the HS [Remedial] Pre-Algebra A Sampler: (textbook-less course)
and the HS [Remedial] Pre-Algebra B Sampler: (textbook-less course)
You might also want to check out the the Grade 9-12 Summary