This is a complete 14 day conceptually grounded unit. It covers the basics of fraction addition and subtraction. Students will learn the “Why” behind the algorithms as they create visual models, resulting in a much deeper understanding.
Unit contains 185 + pages. In addition to this, there is an extra day of review of improper fractions/mixed numbers in case students need extra practice at the end of the unit.
I presently find this fitting best in 5th grade, though it could be used as a review in 6th grade.
In this unit students will do the following:
--Will build upon mixed #s, improper fractions, and equivalent fractions as they learn to add/subtract fractions.
--Will learn the “Why” behind the need for common denominators and borrowing through the use of visual models so that the algorithms makes sense
--Be fully immersed in real life story problems that require them to show both a phrase and units
Included are the following:
--Notes and answer keys to notes containing suggested problems to use as introduction or review for the particular day
--Worksheets for homework, answer keys to the hw, + answer keys with suggested point values (Also, the keys show how the answers were derived)
--A study guide (practice test) that has an answer key (Students can get extra credit by getting a parent signature.)
--2 tests (with answer keys included) so that retakes are available
--An additional refresher day to use before the unit if students need extra review on conversions between improper fractions and mixed #s
-In order to be successful on this unit students should have a solid grasp of the following:
-Basic conceptual understanding of how the numerator and denominator functions in a fraction.
-An understanding of benchmark fractions--fractions close to zero, close to one, just below 1/2, just above 1/2.
(This will help with determining reasonableness of answers and catching errors when finding equivalent fractions, borrowing, etc.)
-Basic understanding of converting from improper fractions to mixed #s (both through the division algorithm and conceptually)
-Visual models showing equivalent fractions
-A decent grasp of perimeter
If your students are lacking in any of these, please DO NOT do this unit until they have gained the proper foundation or you make sure to thoroughly supplement the unit. If interested in this kind of resource, much of this can be found in my Fraction Introduction Unit.