HS [Remedial] Algebra 1B UNIT 7: Pythagorean Theorem+ (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 1B course that I teach to at-risk secondary students has been significantly honed over 8 years. This is the 7th unit of the 2nd semester course that has proven to be valuable over this time-frame.

This unit emphasizes the Pythagorean Theorem, Distance Formula and the Mid-Point formula--from the 8th and 9th grade Common Core Standards--and it assumes very little prior knowledge. Consistent with my overall approach, a LOT of facility with manual exercises and unusual problems is also emphasized as I feel that this is one of the greatest gifts I can give to these students--skill and confidence in new areas of their lives.

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.

SEVEN skill areas are included. BUT, AGAIN, 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.

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.

RELATED ITEMS:
BUNDLES: The entire 2nd semester course is posted here as: HS [Remedial] Algebra 1B FULL textbook-less course (BUNDLE).

The prior unit is Unit 6: More Radicals and the next one is Unit 8: Polynomials+.

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.
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1 Week

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HS [Remedial] Algebra 1B UNIT 7: Pythagorean Theorem+ (5 w
HS [Remedial] Algebra 1B UNIT 7: Pythagorean Theorem+ (5 w
HS [Remedial] Algebra 1B UNIT 7: Pythagorean Theorem+ (5 w
HS [Remedial] Algebra 1B UNIT 7: Pythagorean Theorem+ (5 w