Intro Question: what do all of your object have in common?
Concepts Covered:
Probability
Sample Space
Expected Value.
Class 19: Intro to Three Dimensional Space
Intro: Nets of Squares
Concepts Covered:
Basic Types of Three Dimensional Shapes -- what are our formulas?
Volume of a Sphere
SA of a Sphere
Class 18: Intro to Regular Polygons
Intro: Area of a polygon with side 20
Concepts covered:
How to find area of a regular Polygon
How to take this "to the limit"
How this creates some exciting information
What other 2D formulas do we know?
Outro Question: Linked in class 18. (three pentagons)
Class 16 and 17: Trigonometry of a different Variety
Intro: Counting to 1000
Concepts Covered:
How do we model things that go up and down and up and down
What does a trig function look like?
Where is this useful?
Intro: Irrational Numbers?
Concepts Covered:
Trigonometry -- where did it come from, and why?
what is it, and how can we use it?
Class 13: Some questions for us to answer.
Intro: the turkey problems.
Concepts Covered:
we've got a lot of different types of functions to use -- which do we use, where, why, and how?
Class 12: Exponential Functions, Exponents in General
Intro: Domineering (a game)
Concepts Covered:
What are exponents (what do they mean/say/do)?
negative exponents
rational exponents
domain and range of x^nth power
what does an exponential function help us model
compound interest
population
growth and decay
Class 11: Our Hypotheses:
* if there are an even amount of vertices and one is centered in the middle, it will not work.
* each vertex needs to be connected to more than one [other one]
* starting point will determine if it works or not
some will only work at preselected points.
* the shape you make matters
* if a vertex has an odd number of edges coming out of it, it won't work unless you start at that point
* comparing number of vertices to number of edges
* if you start at one point, you'll end at the same point
not always true ... we have some examples where we start at one point, but ends at the 'opposite'
'opposite' is defined at starting at one star and ending star.
can a diagram have exactly three different places to start and complete the whole thing
yes as a triangle, but we don't think so if there are more than three nodes.
* if a vertex is attached to only one edge, you must start or end there.
* if you can start and stop at the same point, it will work
* if it has an even amount of edges, it will work
* # vertices > = edges
Intro Question: A matter of functions.
Concepts Covered:
forms of a quadratic
when to use them
how to solve them
Class Nine: More Function Notation
Intro Question: Eight Queens
Concepts Covered:
Composition of Functions
Inverse Functions
Quadratic Functions
Class Eight: Function Notation
Intro Question: Bowling Balls
Concepts Covered:
Domain and Range
Inputs and Outputs (what's my rule)
Inverses
Intro Question: 1, 2, 3, 4
Concepts Covered
Greater than, less than, or equal to
Linear Programming
Intro Question: Nim
Concepts Covered:
Describing the movement of an object
What is the Right type of Line -- when?
Class Four and Five: Line Dancing
Intro Question: Eight Coins
Concepts Covered:
What is a Line?
What is a Solution (when considering multiple lines)
How Can We Find Solutions
Class Three: Literally the Best Class
Intro Question: Lockers
Concepts Covered:
Dividing Fractions
Literal Equations
What's a Line?
Class Two: Learning to Function
Intro Question: Alpacas Part Two
Concepts Covered:
Order of Operations
What Makes a Fraction a Fraction
Class One: That's What It's All About
Intro Question: The Dance of Distance.
Concepts Covered:
Pythagorean Theorem
What Math Is
What Numbers Are
Homework: Linked Here.