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Grade 8 UNIT: Pythagorean Theorem (4 worksheets & 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.

SIX different approaches are taken in this unit to the Pythagorean Theorem: Discussion of 4 historical proofs; construction of examples of PROOF #5; construction of right triangles; construction of Pythagorean Triples using 3 historical approaches; using the theorem in existing diagrams; using the theorem in real-world situations.

FOUR possible sets of worksheets are included (10, 15, 20 or 25 problems in each of the 5 main skill areas for a total of 60, 90, 120 or 150 problems).

SEVEN possible quizzes (each with 10 problems) are also included--2 at a level 2 (easiest), 2 at a combined 2 and 3 level (a mix of easiest and more average), 2 at a level 3 (average) and 1 at a combined level of 3 and 4 (most difficult).

Look at the PREVIEW to see what order the 6 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 Geometry materials were created using my usual database because I was given the task in 2014 of teaching geometry to at-risk kids. The problem was that they, as a group, have a very hard time with on-line geometry and my school wanted to offer an alternative.

You might also want to check out the Grade 8 Summary which has links to many related offerings here.

In addition, the following is another unit that might interest you: the UNIT on Number Bases .

Total Pages
Answer Key
Teaching Duration
1 Week
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