Day 03
Visual Models of
Number Systems
2
Todays Travel Plans
What did we talk about yesterday?
A Visual Model for the Whole Numbers and
Operations
A Visual Model for the Integers and
Operations
1
3
What did we talk about yesterday?
We saw a really a

Day 04
Integers, Fractions, and in
your face action
2
Todays Travel Plans
What did we talk about yesterday?
Integers Via M&Ms
Additive Operations and Properties
A little Algebra?
Integer Multiplication
Order and the Integers
Lets Break Stuff
The m

Day 05
Frac tions
2
Todays Travel Plans
Integer Division
Lets Break Stuff
The many Faces of Fractions
Order Properties
Rational Numbers
Addition
Multiplication
What Fractions can do that Integers Cant
Some Algebra
1
3
What did we talk about yeste

Day 06
Reciprocals,
Di vis ion,
&
Powers
2
Todays Travel Plans
What Fractions can do that Integers Cant
Some Algebra
Formal Division
Even, Odd, & Prime
Whole Powers
Integer Powers
Thought Provoking
Rational Powers
Unlike Bases
1
3
Last Time we st

Day 07 (on July 07)
MorePower
Having an Imagination
& Place-ing Our Selves
2
Todays Travel Plans
Thought Provoking
Rational Powers
Unlike Bases
The root of -1
Base 10
Base 5
Base 20
Base 2
Base 16
Pen & Paper Addition
1
3
Last Time we stopped ab

Day 08
Base-B Systems
Pencil & Paper Algorithms
(& their alternatives)
2
Todays Travel Plans
Generalities of Place Value Systems
Other Bases
The same number?
Comparing
Classic Pencil & Paper Algorithms
Alternative Pencil & Paper Algorithms
1
3
Last

Day 16
Lecture 14
Cartesian Graphs
0
2
STUFF I WANT YOU TO KNOW
You can _ to any point in the plane with two
_ directions.
Its a lot nicer if those directions are _ since
traveling in one of the two directions only affects the
orthogonal _ onto that dir