# Interdepartmental 301

Here is the full syllabus

Here's my single favourite history of mathematics web site

Here you may find a place to leave anonymous comments about the course.

Here is a virtual slide rule

Eventually there may be samples of final projects that aren't on sections that you'll be doing on the final project page

Here is a short proof of the rational root theorem.

A nice discussion of the history of trigonometry names

Here are some materials for calculus that are designed for middle school teachers.  It's an interesting point of view.

And, similarly, materials on probability and statistics for middle school teachers.  And some more statistics (mostly concerning regression in one form or another)

The New York State regents exams you will be required to complete may be found here, from which you may select a wide variety of historical mathematics exams.  One of your classmates found this one particularly interesting (from 1866).
This is the old preparation guide for the New York State Mathematics Content Speciality Test.  It provides a good summary of the mathematics that you will need to know.  Pay particular attention to pages 7 - 14 - ***This is where your topic list for extra topics is***.   The new version is here.  Of course you should be aware of the new, but it is worth noticing that they aren't that different.  For our purposes the topic division of the old is easier to work with.

New York State materials for common coresome particulars, more and more.

Here are some materials for calculus, from Calculus Connection by Asma Harcharras and Dorina Mitrea, 2007.

Here is a good website about the median-median line.

Even more fun than Anscombe's quartet is the Datasaurus Dozen

Here is an extremely short summary of NCTM Content Standards for INTD 301 Grades 6 - 12.

Numeration and Operations
Rational Numbers
Problem Solving
Order
Ratio & Proportions
Number Theory
Factors, Multiples, Primes, Relatively Prime
Integers
Complexes
Vectors / Matrices
Properties of Operations

Algebra
Relations
Functions (various representations)
rates of change
intercepts
zeros
asymptotes
local / global
arithmetic
composition
inversion
exponential, polynomial, rational, logarithmic, periodic
equivalent representations
modeling

Geometry and Measurement
properties/attributes of 2-3d
problem solving - congruence & similarity, coordinates
coordinates (cartesian, polar, spherical)
transformations
constructions
area / volume formulae

Data Analysis / Probability
make good graphics
understand data and 'studies'
display and calculate distributions
run simulations
use data and statistics to make predictions
complementary, mutually exclusive, sample space
expected value of random variables
conditional probability and independent events
compound events

Problem Solving
Strategies, reflection and doing

Reasoning and Proof
Conjecture and prove in various ways

Communication
Discuss precisely

Connections
Connect within and outside mathematics

Representation
Represent in several ways