Planning GuideGrade 8
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Congruence of Polygons

Strand: Shape and Space (Transformations)
Outcome: 6

Step 1: Identify Outcomes to Address

Guiding Questions

  • What do I want my students to learn?
  • What can my students currently understand and do?
  • What do I want my students to understand and be able to do, based on the Big Ideas and specific outcomes in the program of studies?

See Sequence of Outcomes from the Program of Studies

Strand: Shape and Space (Transformations)

Grade 7

Grade 8

Grade 9

Specific Outcomes

There are no directly related specific outcomes in Grade 7.

 

Specific Outcomes

6.

Demonstrate an understanding of the congruence of polygons.

 

Specific Outcomes

3.

Demonstrate an understanding of similarity of polygons.

Big Ideas

  • Shapes are alike and different by determining an array of geometric properties. These properties could include: shapes have sides that are parallel, perpendicular or neither; they have line symmetry, rotational symmetry or neither; they are similar, congruent or neither.
  • Shapes can be moved in a plane. These movements can be described in terms of translations (slides), reflections (flips) and rotations (turns).
  • Coordinate systems can be used to describe the precise location of a shape in a plane. The coordinate view of shape is also useful in understanding the property of transformation (changes in position) of shapes.
  • Transformation includes a study of translations, reflections, rotations (slides, flips and turns) and the study of symmetries.
  • Congruent objects have the same size and same shape. The corresponding angles and corresponding sides of two congruent objects are equal. Congruency is denoted by the symbol ; i.e., "quadrilateral ABCD is congruent to quadrilateral DEFG" is shown by ABCDDEFG.

Adapted from John A. Van de Walle, LouAnn H. Lovin, Teaching Student-Centered Mathematics: Grades
5–8
, 1e (pp. 179, 180). Published by Allyn and Bacon, Boston, MA. Copyright © 2006 by Pearson Education. Reprinted by permission of the publisher.