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Emmy Noether Circles

Named in honour of the mathematician Emmy Noether, this free online project aims to encourage the participation of both teachers and students at the Junior level in solving problems for enjoyment and satisfaction. The 'circle' symbolizes an inclusive and collaborative setting, open to a variety of ability levels, wherein mutual support enhances individual investigations.

Emmy Noether Circles are offered three times annually, one in each of mid-September, mid-December, and mid-March. Each Circle is a set of six problems, plus hints, suggestions, and solutions. The problems can be used individually, or as a set, as time permits. While group work is a major focus, most problems are also accessible to students who prefer to work on their own.

Information for Teachers
Certificate of Merit
Certificate of Participation

Circles are available in the charts below both as complete sets and divided into problems identified by curriculum strand.

Complete Circles

Circle 1 Problems 2009-2010   2008-2009   2007-2008   2006-2007  
2005-2006   2004-2005
Circle 1 Hints and Solutions 2009-2010   2008-2009   2007-2008   2006-2007  
2005-2006   2004-2005
Circle 2 Problems 2008-2009   2007-2008   2006-2007   2005-2006  
2004-2005
Circle 2 Hints and Solutions 2008-2009   2007-2008   2006-2007   2005-2006  
2004-2005
Circle 3 Problems 2008-2009   2007-2008   2006-2007   2005-2006  
2004-2005
Circle 3 Hints and Solutions 2008-2009   2007-2008   2006-2007   2005-2006  
2004-2005

Circles Problems Identified by Curriculum Strand

2009 - 2010

Curriculum Strand Problem, Hint and Solution
Number Sense (NS) Circle 1: P1 P4
Circle 2:
Circle 3:
Measurement (ME) Circle 1: P3 
Circle 2:
Circle 3:
Geometry/Spatial (GE) Circle 1: P6 
Circle 2:
Circle 3:
Patterning & Algebra (PA) Circle 1: P5 
Circle 2:
Circle 3:
Data Management (DM) Circle 1: P2 
Circle 2:
Circle 3:
Probability (PR) Circle 1:
Circle 2:
Circle 3:
Logic (LG) Circle 1: P5 
Circle 2:
Circle 3:

2008 - 2009

Curriculum Strand Problem, Hint and Solution
Number Sense (NS) Circle 1: P1  P2  P5  P6
Circle 2: P1  P2  P3  P5
Circle 3: P1
Measurement (ME) Circle 1: P1  P5
Circle 2: P4
Circle 3: P2  P6
Geometry/Spatial (GE) Circle 1: P4
Circle 2: P4  P6
Circle 3: P5
Patterning & Algebra (PA) Circle 1: P3
Circle 2:
Circle 3: P3
Data Management (DM) Circle 1:
Circle 2: P2 
Circle 3: P6
Probability (PR) Circle 1:
Circle 2:
Circle 3: P4
Logic (LG) Circle 1:
Circle 2:
Circle 3:

2007 - 2008

Curriculum Strand Problem, Hint and Solution
Number Sense (NS) Circle 1: P1  P3
Circle 2: P1  P3
Circle 3: P1  P4  P6
Measurement (ME) Circle 1: P6
Circle 2: P2
Circle 3: P3
Geometry/Spatial (GE) Circle 1: P2  P4
Circle 2: P3  P4 P6
Circle 3: P3  P5
Patterning & Algebra (PA) Circle 1:
Circle 2:
Circle 3: P2
Data Management (DM) Circle 1: P5  P6
Circle 2:
Circle 3:
Probability (PR) Circle 1: P5
Circle 2: P5
Circle 3:
Logic (LG) Circle 1: P2
Circle 2:
Circle 3: P4  P6

2006 - 2007

Curriculum Strand Problem, Hint and Solution
Number Sense (NS) Circle 1: P1  P2  P3  P6
Circle 2: P1  P2
Circle 3: P2  P5  P6
Measurement (ME) Circle 1: P1  P2  P3
Circle 2: P3
Circle 3: P1
Geometry/Spatial (GE) Circle 1: P2  P5
Circle 2: P3  P4
Circle 3: P3
Patterning & Algebra (PA) Circle 1: P4
Circle 2: P2
Circle 3: P6
Data Management (DM) Circle 1: P4
Circle 2: P6
Circle 3: P4
Probability (PR) Circle 1: P5
Circle 2: P5
Circle 3:
Logic (LG) Circle 1:
Circle 2:
Circle 3: