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 Pre-Algebra B course that I teach to at-risk secondary students has been significantly honed over 8 years. This is the 1st unit of the 2nd semester course that has proven to be valuable over this time-frame.
This unit concerns an INTRODUCTION to FRACTIONS and, as such, it includes a lot of shading and visuallizing. You will find out that most of your secondary students do not know (and never have known) the utter simplicity of the concept of FRACTION--contrary to many who say this is difficult to learn. It is, indeed, an extremely useful unit for properly dealing with fractions--and future algebra courses. 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--from 3rd to 4th grade. BUT YOU WILL SEE THAT THE MAJORITY OF KIDS SIMPLY HAVE NOT UNDERSTOOD THIS STUFF. The skills themselves are simply subsets of CC Standards.
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.
FOUR worksheets are provided: one with 5 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 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) 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.]
BUNDLES: The entire 2nd semester course is posted here as: HS [Remedial] Pre-Algebra B FULL textbook-less course (BUNDLE)
The next unit is UNIT 2: Uncommon Denominators
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