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 core:  some 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


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