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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.
Get Into Line (HTML ou 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.
Hands-On Geometry (HTML ou PDF)
 
This Stewart Resource unit describes the use of manipulatives in to study lines, line segments, angles and polygons.
Math on the Farm
 
This article discusses some of the many ways in which math is used in agriculture. It considers specific agriculture processes, as well as a variety of math concepts.
Pattern
 
This is the lead article in the seventh edition of Ideas and Resources for Teachers of Mathematics, a newsletter published by the Saskatchewan Mathematics Teachers' Society. The topic of the sixth edition of the newsletter is petterning and algebra. In this article Vi and Rick introduce the concept of pattern through some ideas from literature and through a recent 'pattern' experience.
Pi Day Pie with Two..Foci
 
Gregory gives a challenge problem with an elliptic pie.
Puzzle Brings... Olympic Rings
 
Gregory poses a challenge problem involving the Olympic Rings.
Pythagorean theorem research project
 
A student wrote to Quandaries and Queries looking for tips for a research project he had to write on the Pythagorean theorem. The reply from Jack and Walter has some good ideas that some teachers may find useful.
Sciences Shine at LIT
 
In this note Gregory creates a problem inspired by the Luther Invitational Tournament (LIT), a longstanding basketball tournament at Luther College High School in Regina.
Size small school
 
In this grades 7 to 9 activity students make measurements of their school and then construct a scale drawing.
Surface Area to Volume Ratio
 
Help student discovery the relationship between surface area and volume through various activities. Once concept is attained, follow up with activities on where the surface area to volume ratio is found in the real world.
Tantalizing Tessellations!! (HTML ou PDF)
 
This unit was written by three students as a project in a mathematics education class, EdMath 215, at the University of Regina.
The Arc Midpoint Find
 
Continuing his discussion of circular arc midpoint computation Oleksandr develops an expression for the midpoint of a circular arc in n dimensions.
 
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