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Diamond Slopes and Speedy Whales via… One Identity
 
A trigonometric identity is used to develop a formula for the slope of a rhombus diagonal. This expression is then used to find the velocity of a whale.
Direct and Partial Variations (HTML or PDF)
 
A unit on direct and partial variation that can be taught after the introduction of linear functions.
Divisibility of 2n choose n by a prime. (HTML or PDF)
 
Question in Quandaries and Queries about the divisibility of 2n choose n by the product of three primes. This note addresses the simpler problem of the divisibility of n! and 2n choose n by individual primes.
Donuts and Do Loops
 
In this note Penny shows a connection between the number of ways you can buy a dozen donuts from an unlimited supply of 5 types of donuts, and the number of operations a computer performs as it goes through a do loop.
Euclid's proof of the Theorem of Pythagoras
 
This note is a response to a question sent to Quandaries and Queries by Sean Smith asking which of the many proofs of the Theorem of Pythagoras is due to Euclid.
Frieze Designs in Indigenous Art
 
In this article Judi and Harley illustrate the seven frieze patterns using art of the indigenous peoples of North America. They then develope some of the mathematics of frieze patterns at a level that is accessible to many students. The teacher notes contain activities with frieze patterns for students at all levels.
Friezing at Washington State University
 
This article is part of the Mathematics Notes series at Washington State University. In the article, Judi and Harley start by determining the functions that map the plane back onto itself, while at the same time, mapping a specified line back onto itself and preserving the size and shape of any objects represented in the plane. These are the functions that preserve frieze patterns. The authors then look at the algebraic structure of this collection of functions under the operation of composition, show that there are only seven frieze groups, and illustrate how they are generated. Each frieze group is represented algebraically and geometrically. The article concludes with a tour of the Washington State University campus, looking at the ways in which frieze groups are exhibited and used in our immediate surroundings.
Further Properties Assigned to arcsine and arccosine
 
Gregory and Oleksandr find more compact and efficient ways to express some identities involving arcsine and arccosine that appear in the Handbook of Mathematics. The expression Gregory and Oleksandr found was used to derive their arc midpoint computation.
Games from the Aboriginal People of North America
 
This is a collection of Aboriginal games that teachers can use to integrate culture into Mathematics lessons. The mathematical content includes patterns and relations, probability, data management, numbers and operations, problem solving, critical thinking, and geometry. Students will have fun with the games while they apply their mathematical knowledge.
Get Into Line (HTML or PDF)
 
This Stewart Resource unit covers many topics some of which are basics of graphing, linear equations, characteristics of a line, arithmetic sequences and series and more. Seven sub-units with lessons are presented with objectives, evaluation ideas and procedures for each.
Greatest Common Divisor and Least Common Multiple
 
This development of the greatest common factor and least common multiple is taken from Math 101 Online an online course at the University of Regina. This resource contains a description of the gcd and lcm as well as the Euclidean Algotithm.
Hands-On Geometry (HTML or PDF)
 
This Stewart Resource unit describes the use of manipulatives in to study lines, line segments, angles and polygons.
Helen's Ride
 
In this note Gregory uses his Arc Midpoint Computation formula to devise a problem regarding riding a bicycle around the University of Victoria campus.
I've Got a Secret: Math Anxiety
 
This is the lead article in the eighth edition of Ideas and Resources for Teachers of Mathematics, a newsletter published by the Saskatchewan Mathematics Teachers' Society. The topic of the eighth edition of the newsletter is "Real World Problem Solving" and in this note Rick writes about discussions with three women and their "math anxiety".
In Preparing for Football Games, Nothing is Left to Chance
 
This one of the articles in the twelth edition of Ideas and Resources for Teachers of Mathematics, a newsletter published by the Saskatchewan Mathematics Teachers' Society. In this article Rick and Nick, faculty members at the University of Regina, present a coach's preparation for a football game as an exercise in data management.
 
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