Position and Transformation · JHS2 Mathematics

Lesson notes

Indicator: B8.3.3.1.3 - Investigate the concept of congruent shapes.

By the end of the lesson, learners can:

Define congruent shapes as figures that have exactly the same size and shape, regardless of their position or orientation.
Identify corresponding sides and corresponding angles of two shapes and check whether they are equal.
Verify that a shape and its rotation image are congruent by comparing side lengths, angle sizes, and orientation.
Use graph paper (or digital tools) to confirm congruence of rotated shapes by measuring and comparing their properties.
Justify, in writing or orally, why a rotated shape is congruent to its original shape using mathematical reasoning.

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Strand: Geometry and Measurement (Strand 3)
Sub-strand: Position and Transformation (3.3)
Content standard: B8.3.3.1 - Perform a single transformation (i.e. rotation) on a 2D shape using graph paper (including technology) and describe the properties of the image under the transformation (i.e. congruence)
Indicator: B8.3.3.1.3 - Investigate the concept of congruent shapes.
Suggested placement: Term 3, Week 8 (Week 32 of the year)
Our suggestion, laid out in curriculum order across three terms of twelve weeks. NaCCA does not fix the week, so follow your school's scheme of learning.
Curriculum reference: Mathematics, Common Core Programme (JHS1-JHS3), 2023, p. 152
Transcribed from the official NaCCA publication. Check this page against the source.

E.g. 1. Use multiple and varied examples of rotation on coordinate planes to verify congruent shapes based on their properties.