Course Overview: The Goal of this course is to make your life better through mathematics. To understand mathematics a little bit better, and to be comfortable with mathematics. We will tackle all types of mathematics. It will be a fascinating journey.
05.26.2014. Class 26: A Proof, a Video, and Final Thoughts
Intro Question: So how much Nitrogen was there?
Concepts: SA and V of a Sphere, Platonic Solids
Homework: finish your final.
05.22.2014. Class 25: Cruising through Geometry
Intro Question: regular polygons.
Concepts: finding Area, Surface Area, and Volume of 2D and 3D objects.
Homework: here.
05.19.2014 Class 24: in class problems
Concepts: use the skills you've learned to finish these problems as a class. You should have one set of answers as a class, which need to find their way to me.
05.15.2014. Class 23: logarithms.
Intro Question: review of the homework questions.
Concepts: how can we use a new tool to find more specific answers to questions.
Homework: start your final. which will be up as of 05.16.2014.
05.12.2014. Class 22: exponential functions and thoughts on problem solving.
Intro Question: here.
Concepts: how do people solve problems? finding e through exponential information. solving systems with exponents in them.
Homework: here.
05.08.2014. Class 21: p-values for reals. bivariate data.
Concepts: ways to describe our data (confidence interval or p-value). Plotting bivariate data. correlation vs. causation.
Homework: here.
05.01.2014. Class 20: p-values of amazing proportions.
Concepts: back to boxes. sampling methods and bias. confidence intervals. p-values and why they matter in your work.
Assignment: here.
04.28.2014. Class 19: Working with Sampling, T-tests, and overall efficiency of statistics
Intro Question:
Concepts: how to we gain a proper sample? What is a p-score, and why does it matter?
Homework: here.
04.24.2014. Class 18: Probability and the Binomial Distribution
Intro Question: Four Color Theorem
Concepts: Binomial Distribution, Sample Space, Binomial Distribution
Homework: here.
04.21.2014. Class 17: Trigonometric Identities and Konigsburg.
Intro Question: Ferris Wheel Issues
Concepts: Playing with Identities
What makes a graph traversable?
Homework: here.
04.17.2014. Class 16: The functions sine and cosine
Intro Question:
Concepts: Using Sine, Cosine and Tangent to the best of our abilities.
Trigonometric Identities (minimal real world application here)
Homework: "Foundations of Advanced Mathematics"
04.14.2014. Class 15: Potato Cannon Experiment
Intro Question: part three of the midterm
Concepts: real world vs. idealized data
04.07.2014. Class 14: Law of Sines and Cosines
Intro Question: How tall is the Bennington Monument
Concepts: correct use of the Law of Sines, Law of Cosines.
Ambiguous Case as well.
04.03.2014: Class 13: Right Triangle Trigonometry
Intro Question: The Shooting of Rubber Bands
Concepts: Right Triangles as useful. Simplifying Radicals. Finding values for Triangles. Creating the Unit Circle.
midterm assignment: due 04.14
03.31.2014: Class 12: Parent Functions
Intro Question: Delve into our previous questions.
Concepts: Function notation as a movement device
HW: two pages were emailed to you.
03.27.2014. Class Eleven: More Modeling.
Into Question: Lots of Dice
Concepts: What model is going to work best for us for each problem?
HW: click here.
03.24.2014. Class Ten: Exponents and Patterns
Intro Question: Building up 'Bennington Disease' from our homework.
Concepts: Using exponent rules appropriately. Geometric and Arithmetic Sequences.
HW: click here.
03.20.2014: Class Nine: Quadratic Functions and modeling.
Intro Question: Dropping the ball and measuring
Concepts: How do we create a general question to answer?
HW: finish sheet that was emailed to you (green sheet, four questions)
03.17.2014. Class Eight: Domain and Range and Graphing Functions.
Intro Question:
Concepts: what do mathematical function do for us? What do we approximate? How do we find an inverse function?
HW: click here.
03.13.2014. Class Seven: Pi, Function Notation, and Zendo
Outro Question: A game of Zendo
Concepts: A recursive formula to get to pi (use of desmos to get there). What is function notation, what does it tell us and how can we use it?
HW: click here. Due 03.17.
Class One: Number systems of Old, how we count and why.
Intro Question: The Plight of Farmer John
Concepts: About the Class and Expectations. Old number Systems and why we use what we use.
HW: click here.
Class Two: Types of numbers, ordering numbers
Intro Question: Infinite Lockers
Concepts: Grouping Numbers (refining complex numbers). Working with different bases. Ordering on a number line.
HW: click here.
Class Three: Describing things with Equations
Intro Question: Eight Coins
Concepts: Oops. Fractions. One and Two step Equations (and getting rid of fractions). Solving Literal Equations.
HW: click here.
ASSIGNMENT ONE: Assignment One has been delayed one class. We will talk about this on Monday.
Class Four: Solving Equations and Plotting Lines!
Intro Question: nim
Concepts: Solving an Equation. Dealing with Distribution. Dealing with Fractions.
Assignment one: for reals this time. This is due Monday, March 10 by midnight.
HW: click here.
Class Five: Working With Lines, Function Notation, Domain and Range
Intro Question: How many degrees in a 100-gon?
Concepts: 3 forms of a line. Creation of a useful equation (multi-variable). function notation. domain and range.
HW: e-mail me about how you are feeling regarding the class. are there things you want more work on? are there places you are confused? let me know how it's been going thus far and what I can do to help support you.
Class Six: Linear Programming and Solving Equations
Intro Question:
Concepts: elimination and substitution. Creating Equations for made up scenarios. domain and range again.
HW: click here.