Unit 3: Fractions and Decimals

Section 8: Representing, Comparing and Equivalence for fractions



Fraction models and representations

Different models for fractions (ways to approach the idea of fraction)
Representations of fractions (how to draw part-whole and repeated unit fractions)
The main types of fraction representations and what they do best (follow all of the "next"s at the bottom of the pages.
Assignment 32:
Fraction representations July 16

Comparing fractions:
Fill out this exploration guide, using either fraction circle physical manipulatives you have cut out, or either the fraction circle or fraction bars applet (or some mixture of the two--experiment with the different representations to see what gives you the most useful insights). You may need wait a couple of minutes for the applets to start and/or reload the page.
Watch: My talking about the answers I "expect" you to get, and what good ways are of explaining them.  Also hints
Assignment 33: Write up your exploration guide stuff more carefully, and submit it. July 17

Equivalent fractions:
Fraction Circles and Paper Folding
Array and non-array representations
The Array Strategy
Child-Invented Strategies: Equal Sharing and the Roots of Fraction Equivalence (D2L->Content->Readings)
Watch: Simplification strategies revisited
Assignment 34: Explaining equivalent fractions  July 17

Prime numbers: what they are; how to find prime factorizations
Watch: What to do with the web page
Do: See how well you can do with each of the applets on this page
Assignment 35: July 18  Prime numbers and factorizations

Prime factorizations and equivalent fractions

Watch: prime factorizations
prime factorizations and equivalent fractions
more about equivalent fractions
more about prime factorizations and equivalent fractions
Read: Divisibility rules (useful but optional) Bassarear section 4.1
Prime and composite numbers: Bassarear section 4.2
Assignment 36: July 18  prime factorizations and equivalent fractions

Factors and multiples: what is a factor, what is a multiple? How to find LCM and GCF two ways.
Watch: LCM, GCF
Read: Bassarear section 4.3
Assignment 37: Bassarear pg 252 # 6 b,c.  Do each problem two ways: by writing lists, and by using a prime factorization. Do also  pg 252 # 5, 7, 8, 9  (3rd Edition, pg 250) July 19