This VERY VISUAL unit (an introduction to decimals) is actually UNIT #7 of fractions in GRADE 4 as it assumes a knowledge of fractions, particularly EQUIVALENT fractions . IT INCLUDES an additional REVIEW SKILL (more or less from the 3rd grade) THAT CONCERNS these very equivalent fractions but with the characteristic that one fraction in each problem has either 10 or 100 as a denominator.
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.
I have to say here that, speaking from my vantage point of teaching at-risk kids several years older than 4th graders, NONE of them knew the concepts integral to this unit. In my view, this is the best I can do in the way of introducing decimals and I hope you feel the same way.
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 decimals and who does not (most do not). The concept of DECIMALS BEING a CERTAIN FORM OF FRACTIONS is crucial to students' overall understanding of them and that is the focus of this unit.
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 10, 15, 20 and 25 questions per skill (of which there are 5) 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.
Look at the PREVIEW as that is very typical of this entire unit.
[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 FRACTIONS BUNDLE
You might also want to check out other 4th grade offerings here. The 4th Grade Summary
will link to a variety of other offerings and the UNIT 6: MULTIPLYING FRACTIONS BY WHOLE NUMBERS
, is a possible prior unit to this one as is the UNIT: the AMERICAN RULER
DECIMALS UNIT 2: Basic ADDING/SUBTRACTING
is the next logical unit (out of 8 or 9 in total) concerning fractions and decimals for the 4th grade.
As a reminder, these units have been very successfully cobbled together after a decade of teaching older students what they never learned in the earlier grades.