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Emmy Noether Circles

Emmy Noether Banner

Named in honour of the mathematician Emmy Noether, this free online project aims to encourage the participation of both teachers and students at the Grade 5 and 6 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.

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.

Circles Available in SmartBoard Format


2010/11 Circle 1 Q1 (NS)   2010/11 Circle 1 Q4 (PR)   2010/11 Circle 1 Q6 (GE)   

Complete Circles


Circle 1 Problems 2011-2012   2010-2011   2009-2010   2008-2009   2007-2008   2006-2007
2005-2006   2004-2005
Circle 1 Hints and Solutions 2011-2012   2010-2011   2009-2010   2008-2009   2007-2008   2006-2007
2005-2006   2004-2005
Circle 2 Problems 2011-2012   2010-2011   2009-2010   2008-2009   2007-2008   2006-2007   2005-2006   2004-2005
Circle 2 Hints and Solutions 2011-2012   2010-2011   2009-2010   2008-2009   2007-2008   2006-2007   2005-2006   2004-2005
Circle 3 Problems 2011-2012   2010-2011   2009-2010   2008-2009   2007-2008   2006-2007   2005-2006   2004-2005
Circle 3 Hints and Solutions 2011-2012   2010-2011   2009-2010   2008-2009   2007-2008   2006-2007   2005-2006   2004-2005

Circles Problems Identified by Curriculum Strand

2011 - 2012


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

2010 - 2011


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

2009 - 2010


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

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: