THIS (DIVISION w/mixed numbers) UNIT involving the various combinations of mixed numbers and proper fractions in the division process CAN BE UNIT #3 of fractions in GRADE 6 as it builds upon the various previous units on fractions in grade 5. In fact, the Common Core focuses on fractions in grades 3 to 6 ONLY with the bulk of the emphasis in grades 4 and 5. These few units in grade 6 are the last ones that deal solely with this subject matter in the whole Common Core.
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.
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.
In later grades it is very apparent who understands fractions and who does not (most seemingly do not). The concepts herein are crucial to students' overall understanding of them.
These problems are the same ones I use in much later grades for those (most) who never grasped the concepts earlier.
I recognize that there is an extreme emphasis (nationwide, perhaps) on "fun" lessons and there is really nothing wrong with that BUT I have seen more than 1,000 older students who were never expected to learn certain fundamental concepts when they were younger--and it is a major roadblock between them and achieving anything remotely resembling academic success in later years. These problems (and the rest of them that I place on this website) have been thought through and through for years now so that my students can finally learn what they never did (something must be working at this end since I have more than one section that is standing-room-only). I hope you find them useful.
Four worksheets are included: they have 8, 12, 16 and 20 questions per skill (of which there are 7) depending on your needs.
Further, there are 7 assessments (each with 20 questions) of varying difficulty (level 1 is the easiest and level 4 is the most difficult).
THE IDEA BEHIND THE ASSESSMENTS IS THAT IF YOUR STUDENTS CANNOT PASS ANY OF THEM THEN, MAYBE, THEY COULD BENEFIT FROM THIS ENTIRE UNIT.
Take a look at the PREVIEW--it is very similar to the rest of the PDF's.
[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: as of this writing I have the Grade 6 FRACTIONS BUNDLE
You might also want to check out other 6th grade offerings here. The 6th Grade Summary
will link to several units and special categories of questions.
The Grade 6 UNIT 2: Division with Fractions
is the most appropriate (and logical) precursor unit.
I can’t stress too strongly that all of these units have been designed and tinkered with from extensive experience with older students who had absolutely no understanding of these various concepts at all.