F2016 Entry to Mathematics

Class Twenty-One: Geometry Part One

Intro Question: -- Farmer John

Concept Covered:

• Regular Polygons

• Classifications of Objects (shapes)

• How we can think about area

Class Twenty: Logarithms

Intro Question -- Skeleton Tower

Concepts Covered:

• Solving Exponential Equations

• Finding the Exponential Between Two Points

Class Eighteen and Nineteen: Probability and You

Concepts Covered:

• Probability Model and Sample Space

• Pascal's Triangle

• Iterated Probability

• Sampling Methods -- back to Pascal's Triangle

Class Seventeen: A New Trigonometry

Intro Question: Counting to a Thousand, 25 Soldiers

Concepts Covered:

• Refocus trig functions

• What does a trigonometric FUNCTION look like?

Class Sixteen: Deeper into Trig

Intro Question: Four Color Theorem

Concepts Covered:

• Practice Using Sine, Cosine, and Tangent

• Use on Problems

• Introduce the Law of Sines and Cosines

Class Fifteen: Right Triangles

Intro Question: Eight Queens

Concepts Covered:

• Irrational Numbers Exist (proof)

• Simplifying Radicals

• Where Does Trig Work, and What Does it Mean?

Class Fourteen: Where are we?

Intro Question: homework

Concepts Covered:

• What's the best way to tackle the problem in front of us?

• How does technology help us?

Class Thirteen: Exponentials

Intro Question: Dice

Concepts Covered:

• How does Exponential Differ

• What Good is Exponential?

• What can we model well?

Class Twelve: Deepening Problems One Last Time

Into Question: Konigsburg

Concepts Covered:

• How to Questions Connect to Each Other?

• Justification and Having Some Fun.

Class Eleven: Defining an 'Answer'

Intro Question:

Concepts Covered:

• Building an Argument

• Abstraction to Exact

Class Ten: More Optimization

Intro Question: The box is the best.

Concepts Covered:

• What does it mean to think through a question completely?

• Let's try some math problems

Class Eight: Quadratics

Intro Question: Let's go outside (briefly)

Concepts covered:

• What makes a quadratic

• What it models well

Class Seven: Function Notation

Intro Question: 3D Printing

Concepts Covered:

• why we need function notation

• the definition of a function, why it matters

• combinations of functions

Class Five and Six: More Linear Equations and Inequalities

Intro Question: Nim again

Intro Question 2: 1, 2, 3, 4

Concepts Covered:

• Why Systems of Equations Exist

• The Types of Problems We Force Upon Ourselves

Class Four: Linear Equations, and Building Systems

Outro Question: Nim

Concepts Covered:

• Lines in three forms

• Lines of Best fit

Class Three: Literally the Best Class Ever

Intro Question: Eight Coins

Concepts Covered:

• Fermi Estimation

• Order of Operations

• Literal Equations

Class Two: What Types of Numbers Exist -- and why?

Intro Question: A Whole Lot of Mailboxes.

Concepts Covered:

• What numbers are out there, and what are they used for?

• When do we need fancy numbers, why do we round, and what's the point of fractions?

• What is a complex number, and why do we care?

Class One: What Are Numbers? What Is this course?

Intro Question: The Plight of Farmer John.

Concepts Covered:

• Intro to the Course, (What It's All About)

• Old ways of Counting

• Sets Of Numbers we Currently Use

Homework: Link Here. Discussed in Class Two.