Mathematics

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Geometry

Spatial sense and analyzing situations involving geometric figures

Analyzing situations involving measurements

Spatial sense and analyzing situations involving geometric figures

Student constructs knowledge with teacher guidance.

Student applies knowledge by the end of the school year.

 

Student reinvests knowledge.

Elementary

Secondary
Cycle
One
Cycle
Two
  1. Plane figures
6 1 2 3 4 5
  1. Describes convex and nonconvex polygons
             
  1. Describes and classifies quadrilaterals
             
  1. Describes and classifies triangles
           
  1. Describes circles: radius, diameter, circumference, central angle
           
  1. Recognizes and names regular convex polygons
           
  1. Decomposes plane figures into circles (sectors), triangles or quadrilaterals
         
  1. Describes circles and sectors
         
  1. Recognizes and draws main segments and lines
 
    1. diagonal, altitude, median, perpendicular bisector, bisector, apothem, radius, diameter, chord
         
    1. leg, hypotenuse
           
  1. Identifies the properties of plane figures using geometric transformations and constructions
    Note : See the Secondary Cycle One Mathematics program, p. 219.
         
  1. Justifies statements using definitions or properties1 of plane figures
         
  1. Solids
6 1 2 3 4 5  
  1. Matches the net of a convex polyhedron to the corresponding convex polyhedron
           
  1. Determines the possible nets of a solid
         
  1. Names the solid corresponding to a net
         
  1. Describes solids :
 
    1. vertex, edge, base, face
           
    1. altitude, apothem, lateral face
         
  1. Tests Euler’s relation on convex polyhedrons
    Note : In CST in Secondary V, this relation can be put to use (planar graph). See Avenues of Exploration, Secondary Cycle Two Mathematics program, p. 124.
          CST
    TS
    S
  1. Recognizes solids that can be split into
 
    1. right prisms, right cylinders, right pyramids
         
    1. right cones and spheres
           
  1. Represents three-dimensional figures in the plane, using different procedures :
    • net
    • projection and perspective
      (e.g. orthogonal projections [different views], parallel projections [cavalier and axonometric perspectives] or central projections [with one or two vanishing points])
           
  1. Geometric constructions and transformations in the Euclidian plane2
6 1 2 3 4 5  
  1. Observes and produces frieze patterns and tessellations using reflections and translations
           
  1. Identifies properties and invariants resulting from geometric constructions and transformations
         
  1. Identifies congruence (translation, rotation and reflection) between two figures
         
  1. Constructs the image of a figure under a translation, rotation and reflection
         
  1. Recognizes dilatation with a positive scale factor
         
  1. Constructs the image of a figure under a dilatation with a positive scale factor
         
  1. Congruent, similar or equivalent figures
6 1 2 3 4 5  
  1. Identifies congruent figures in frieze patterns and tessellations
           
  1. Recognizes congruent or similar figures
         
  1. Recognizes the geometric transformation(s) linking a figure and its image
         
  1. Determines the properties and invariants of congruent or similar figures
         
  1. Determines the minimum conditions required to conclude that triangles are congruent or similar
    Note : See Avenues of Exploration in Appendix E of the Secondary Cycle Two Mathematics program.
           
  1. Demonstrates the congruence or similarity between triangles or finds unknown measurements using minimum conditions
           
  1. Recognizes equivalent figures (plane figures or solids)
          CST
  TS
  S
  1. Justifies statements using definitions or properties of congruent, similar or equivalent figures, depending on the cycle and year
         
1.  In all statements involving justification, the properties used were identified through exploration or have been proven.
2.  Geometric transformations in the Cartesian plane are not covered in Secondary Cycle One.

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