- Recognize and write word problems for multiplication and division

- Multiply fractions with materials and array diagrams

- Divide fractions with materials and array diagrams
- Multiply mixed numbers two ways

- Alternate algorithms for division.

Resources: All of my fraction applets

A SMART Notebook with fraction
circles in it

A SMART Notebook with grids for fraction squares in it, and a video showing how it works.

Instructions for explanation videos about fractions

A SMART Notebook with grids for fraction squares in it, and a video showing how it works.

Instructions for explanation videos about fractions

Recognizing word problems

You may want to print: the problems
that are discussed in the videos

Watch:

Watch:

Grouping
multiplication
and
division
with
proper fractions

Grouping multiplication and division with mixed numbers

Multiplicative comparison multiplication and division with fractions

Rate multiplication and division with fractions

Assignment: July 30
Grouping multiplication and division with mixed numbers

Multiplicative comparison multiplication and division with fractions

Rate multiplication and division with fractions

Writing your own word problems:

Watch:

Multiplying fractions with materialsWriting
multiplication
word
problems

Writing measurement division problems

Writing partitive division problems

Assignment: July 30Writing measurement division problems

Writing partitive division problems

Watch:

Multiplying fractions with arrays and the standard
algorithmWatch:

A subset array diagram for
multiplying fractions

An area of a rectangle array diagram for multiplying fractions

Assignment Aug 1
An area of a rectangle array diagram for multiplying fractions

Assn. 61: Explain in a video

a. how to draw an array diagram for a product of two fractions (make sure your explanations of why your diagram is a sensible matches the diagram you draw. This means if you are using an "of" interpretation, that you have a subset-type-diagram, and if you are using an "area of a rectangle" interpretation, you should use a symmetric diagram).

b. Explain how to get from your diagram to the standard algorithm for multiplication of fractions.

Instructions for explanation videos about fractions

a. how to draw an array diagram for a product of two fractions (make sure your explanations of why your diagram is a sensible matches the diagram you draw. This means if you are using an "of" interpretation, that you have a subset-type-diagram, and if you are using an "area of a rectangle" interpretation, you should use a symmetric diagram).

b. Explain how to get from your diagram to the standard algorithm for multiplication of fractions.

Instructions for explanation videos about fractions

Multiplying fractions with mixed numbers two ways:

Dividing fractions with materials

Watch:

Assignment: Aug 3

Assignment: Aug 3

Watch:

Read: an example of how to make a measurement division diagram

Web site: NLVM Fraction Bars

Assignment: Aug 3

Modeling and interpreting example 1, example 2

Measurement division and the common denominator algorithm example 1, example 2

Measurement division and the common denominator algorithm example 1, example 2

Read: an example of how to make a measurement division diagram

Web site: NLVM Fraction Bars

Dividing fractions with diagrams, partitive division:

Watch:

Assignment Aug 3

Understanding the standard algorithm;Assignment Aug 3

Your assignment will be to explain out
loud in a video 2 of the 4 presented ways of getting at the standard
algorithm.

Watch:

Prerequisite ideas, and partitive
division

Prerequisite ideas and measurement division part 1, part 2

Prerequisite ideas and an algebraic explanation

Fact families and getting there from the divide numerators and denominators algorithm part 1, part 2.

Assignment:Prerequisite ideas and measurement division part 1, part 2

Prerequisite ideas and an algebraic explanation

Fact families and getting there from the divide numerators and denominators algorithm part 1, part 2.

Assn 66: Watch the videos, practice,
and ask
questions until you understand 2 of the 4 above ways of making sense of
the standard
algorithm for dividing fractions. Then make a video,
or write a detailed explanation for each (of your chosen 2 ways of
explaining the standard algorithm). You should be thinking
about how you could explain the division of fractions algorithm to a
class of students in a way that would make sense (grade level here is
5-8). Your goal here is to make the connections between one of
the informal ways of finding the solution to a division of fractions
problem to the standard algorithm for dividing.

Instructions for explanation videos about fractions Aug 6

Instructions for explanation videos about fractions Aug 6

[study the practice problems, and arrange to take the exam on or before Aug 8]