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.
This unit is meant to inspire students (at-risk or otherwise) to see that they can actually grasp concepts that heretofore they may have felt were too "advanced" or too hard. A justification for addressing the Pythagorean Theorem itself is an experience I had decades ago: I was purchasing some carpet for a rectangular room and a carpet installer was "measuring" one of the room's sides by going from corner to OPPOSITE corner with his tape measure!! It dawned on me then (well before I was a teacher) that certain fundamentals are obviously missing in some tradesmen's lives.
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.
In wide use here are references and diagrams to help facilitate understanding.
FOUR possible sets of worksheets are included (5, 10, 15 or 20 problems in each of the 10 main skill areas for a total of 50, 100, 150 or 200 problems).
SEVEN possible quizzes (each with 10 problems) are also included--2 at a level 2 (easiest), 2 at a 2 and 3 level (a mix of easiest and more average), 2 at a level 3 (average) and 1 at combined levels of 3 and 4 (most difficult).
Look at the PREVIEW to see what order the 10 skills are in and the possible approach taken. Also, the 4 snapshots can help determine if this is or is not for you. Furthermore, send me an email if you have a question.
[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.]
One more thing: all of these materials were created using my usual database because I was given the task in 2011 of teaching Applied Math to at-risk kids. The problem was that they, as a group, have a very hard time with on-line math courses and my school wanted to offer an alternative. This unit, then, is the result of several years' worth of tweaking.
BUNDLES: The entire 1st semester course is posted here as: HS [Remedial] Applied Math I FULL textbook-less course (BUNDLE)
The prior unit of this course is Unit 6: MEASUREMENT and UNIT CONVERSIONS
You might also want to check out the the Grade 9-12 Summary
, the HS [Remedial] Applied Math I Sampler: (textbook-less course)
HS [Remedial] Applied Math II Sampler: (textbook-less course)