RIDGE

Nova Scotia Euclidean Geometry Curriculum Outcomes

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Grade 6

Sum of the angles of a triangle and a quadrilateral (empirical investigations)
Classifying quadrilaterals, properties of diagonals (empirical investigations)

Grade 7

Complete classification of triangles (empirical investigations)
Triangle inequality and relative locations of largest angle and longest side (empirical investigations)
Construction of angle bisectors, perpendicular bisectors,
Vertically opposite angles, complementary angles, supplementary angles
Angles formed by transversals of parallel lines
Informal proofs involving angle measures
Empirical and deductive arguments for the angle sum of the triangle being 180 degrees

Grade 8

Sum of the angles of a polygon, number of diagonals of a polygon (empirical investigations)

Grade 9

Angles and sides needed to determine a unique triangle (SSS, SAS, etc.)
Informal deductions using angles and sides of triangles
Conditions for similarity of triangles

Grade 10

Special lines in triangles
Proof of the Pythagorean theorem
Deductive reasoning and proof

Grade 11

None

Grade 12

Theorems in circle geometry, inscribed and central angles, tangents,
Deductive reasoning and proof

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Supported by a research grant from the Social Sciences and Humanities Research Council of Canada

Page last updated May 2005 by David Reid