Position and Transformation · JHS1 Mathematics

Lesson notes

Learning Objectives

Indicator: B7.3.3.1.3 - Plot points and shapes (i.e. plane figures) on a coordinate plane and draw their images under translation by a given vector.

By the end of the lesson, learners can:

Plot points and plane figures accurately on a coordinate plane using ordered pairs.
Translate a given point on a coordinate plane using a column vector written as (x/y), and state the coordinates of the image.
Translate a plane figure (triangle, rectangle, square) by a given vector and draw the image on graph paper.
Describe the changes in the vertices (coordinates) of a shape after a translation, and state the direction and magnitude of the movement.
Describe a single translation that maps an object shape to its image (e.g., shape PART to P’A’R’T’) using a column vector.

This lesson builds on the reflection work from Term 3, Week 7 (B7.3.3.1.2), where learners plotted shapes and reflected them in given lines. It does not extend to congruence and similarity verification, which is scheduled for B7.3.3.1.4.

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Curriculum details

Strand: Geometry and Measurement (Strand 3)
Sub-strand: Position and Transformation (3.3)
Content standard: B7.3.3.1 - Perform a single transformation (i.e. reflection and translation) on a 2D shape using graph paper (including technology) and describe the properties of the image under the transformation (i.e. congruence, similarity, etc.)
Indicator: B7.3.3.1.3 - Plot points and shapes (i.e. plane figures) on a coordinate plane and draw their images under translation by a given vector.
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. 75
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

Wide black-and-white mathematical teaching visual is organised as a table with horizontal divisions, vertical... — A wide black-and-white mathematical teaching visual is organised as a table with horizontal divisions, vertical divisions. Visible labels, values, and notation include: E.g. 1: As people go down a slide, they; undergo a translation.; E.g. 2: Plot point(s) and shapes (i.e. plane; figures) in a coordinate plane using a; translating vector and describe the.

E.g. 1: As people go down a slide, they undergo a translation.
E.g. 2: Plot point(s) and shapes (i.e. plane figures) in a coordinate plane using a translating vector and describe the changes in the vertices as well as the direction of the movement.

ii. Draw a shape and its image under a translation by a given vector.
iii. Describe a single movement or transformation that takes the shape PART to the image P'A'R'T