For the mathematically curious there are many fascinating and unusual approaches--mostly historical--to approximating the SQUARE ROOTS of numbers that are seldom included in text-books. Your very best students would appreciate access to problems pertaining to these: the PERFECT SQUARE method, the BAKHSHALI method, the BHASKARA-BROUNKER method, the historical algorithm to calculate roots to any desired degree of accuracy, etc.
FOUR worksheets are included: with 10, 15, 20 and 25 problems in each of 5 skills. Choose the one that seems right for you. Answer keys are also included.
Check out the PREVIEW as it is very similar to the final product.
[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.]
Also, creating this has been just plain fun and I don't expect it to be a fantastic seller or even to necessarily have a single sale. But if you have unusual students who love the depth and breadth of various mathematical techniques to solve thorny problems throughout history, this might be for you and those students.
You might also want to check out the Grade 8 Summary
which has links to many related offerings here.
In addition, the following are 2 other unusual units and question sets for more advanced classes: the Grade 8 (and up) Theorems, formulas and problems for the Gifted/Curious
and Grade 8 Historical problems