Position and Transformation · JHS3 Mathematics

Lesson notes

Indicator: B9.3.3.1.3 - Investigate the concept of congruent and similar shapes

By the end of the lesson, learners can:

Define congruent shapes and similar shapes in their own words, giving at least one distinguishing property for each.
Identify pairs of shapes as congruent, similar, or neither, using measurements of sides and angles.
Verify congruence and similarity by comparing corresponding sides and corresponding angles of shapes drawn on a coordinate plane.
Determine the scale factor between two similar shapes and use it to state the relationship between their corresponding sides.
Justify whether an enlargement produces a congruent or a similar image, explaining why.

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Strand: Geometry and Measurement (Strand 3)
Sub-strand: Position and Transformation (3.3)
Content standard: B9.3.3.1 - Demonstrate understanding of how to perform an enlargement on a geometrical shape given a scale factor and describe the properties of the image under the transformation (i.e. congruence, similarity, etc.)
Indicator: B9.3.3.1.3 - Investigate the concept of congruent and similar shapes
Suggested placement: Term 3, Week 6 (Week 30 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. 210
Transcribed from the official NaCCA publication. Check this page against the source.

E.g. 1. Using multiple and varied examples of enlargement on a coordinate plane, verify congruent and similar shapes using their properties.