Geometric Reasoning · B6 Mathematics

Lesson notes

Learning Objectives

Indicator: B6.3.3.5.2 - Identify images of a single transformation (i.e. reflection and translation) of a 2D shapes in a plane

By the end of the lesson, learners can:

Identify the image of a given 2D shape after a reflection and state the mirror line used.
Identify the image of a given 2D shape after a translation and state the translation vector used.
Match each original shape with its correct reflected or translated image in a plane containing multiple shapes.
Describe a translation using a vector in the form (x/y), explaining what the top and bottom numbers mean.
Justify their choice of an image by explaining how they checked the transformation (e.g. equal perpendicular distance from the mirror line, or same size and orientation after sliding).

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Curriculum details

Strand: Geometry and Measurement (Strand 3)
Sub-strand: Geometric Reasoning (3.3)
Content standard: B6.3.3.5 - Perform a single transformation (i.e. reflection translation) on a 2D shape
Indicator: B6.3.3.5.2 - Identify images of a single transformation (i.e. reflection and translation) of a 2D shapes in a plane
Suggested placement: Term 3, Week 5 (Week 29 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 Curriculum for Primary Schools (Basic 4-6), 2019, p. 150
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g. 1. Ask learners to identify images of reflections of 2D shapes in the figure. Ask learners to study the shapes, identify their images. E.g. shape D is a reflection of shape E in the line y = 0 or x-axis; shape A is a reflection of shape B in the line y = -1; and Shape X is a reflection of shape W in the line y = 0
E.g. 2. Ask learners to identify images of translations of given 2D shapes in a given plane. Ask learners to study the shapes, identify their images and the translation vectors. E.g. shape F is a translation of shape A by the translation vector ( 2 ) (or 2 right, 3 three down); and Shape X is a translation

Wide colour mathematical teaching visual is organised as a table with horizontal divisions, vertical divisions,... — A wide colour mathematical teaching visual is organised as a table with horizontal divisions, vertical divisions, coloured regions. The wide colour table is arranged with horizontal divisions, vertical divisions, coloured regions.

-3 of shape W by the translation vector ( 0 ) (or 0 right, 6 up) 6