- represent fractions using area, length, number line and discrete models
- understand and compare sizes of fractions by relating them to unit fractions and benchmark numbers
- write word problems for fraction addition
- add fractions with like and unlike denominators using manipulatives and diagrams
- know what a prime number is, and why 1 is not prime

- understand factors and multiples, and find least common multiples
and greatest common factors using lists and prime factorizations.

Instructions for explanation videos about
fractions

Fraction models and representations

Videos:

Comparing fractions:Different models for fractions (ways to
approach the idea of fraction)

Representations of fractions (how to draw part-whole and repeated unit fractions)

Readings: 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 46:Draw
representations for 3/4 July 20

Exploration:

Early fraction work:Do:

Assignment 47: Write up your exploration guide stuff more carefully, and submit it. July 20

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 interesting insights)

Watch: My talking about
the answers I "expect" you to get, and what good ways are of
explaining them. Also hintsAssignment 47: Write up your exploration guide stuff more carefully, and submit it. July 20

Watch: Fraction naming and
(first experiences in) adding in
Montessori

Read: From Students' Problem Solving Strategies to Connections in Fractions (D2L->Content->Readings)

Assignment 48:

Read: From Students' Problem Solving Strategies to Connections in Fractions (D2L->Content->Readings)

Assignment 48:

Making up
problems, and showing solutions for early fraction work July
20

Watch:

Read:

Read:

The Array
Strategy

Child-Invented Strategies: Equal Sharing and the Roots of Fraction Equivalence (D2L->Content->Readings)

Assignment 49: Explaining equivalent
fractions July 23
Child-Invented Strategies: Equal Sharing and the Roots of Fraction Equivalence (D2L->Content->Readings)

Exploration:

Prime factorizations and equivalent fractionsWatch: What to do with the web page

Do: See how well you can do with each of the applets on this page

Do: See how well you can do with each of the applets on this page

Watch: prime factorizations

Read: Divisibility rules (useful but
optional) Bassarear section 4.1

Prime and composite numbers: Bassarear
section 4.2

Assignment 51: July 23
prime factorizations
and equivalent fractionsFactors 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 52: Bassarear pg 252 # 6 a, b, c. Do each problem two ways: by writing lists, and by using a prime factorization. pg 252 # 5, 7, 8, 9 (3rd Edition, pg 250) July 23

Read: Bassarear section 4.3

Assignment 52: Bassarear pg 252 # 6 a, b, c. Do each problem two ways: by writing lists, and by using a prime factorization. pg 252 # 5, 7, 8, 9 (3rd Edition, pg 250) July 23