Translating points III

Translating points III

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about using vectors to translate points.
a) i) Translate point A by the vector vector six zero and label it P 
    ii) Translate point B by the vector vector six four  and label it Q
    iii) Translate point C by the vector vector zero six  and label it R
 
 
b) i) Translate point D by the vector vector negative four two and label it X 
    ii) Translate point E by the vector vector negative six negative two  and label it Y
Task administration: 
This task is completed with pencil and paper only.
Copyright: 
Graphics: copyright NZCER.
Level:
5
Curriculum info: 
Maths, Geometry and Measurement, Transformation
Keywords: 
vectors, transformations, rotation, translation, points
Description of task: 
Using shapes on grids, students translate points by different vectors.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Geometric thinking, set 6
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

Y10 (10/1998)
a)

NOTE: Accept if points are unlabelled.

 3 correct – moderate

1-2 correct – easy
b)

NOTE: Accept if points are unlabelled.

 moderate
Next steps: 
Extension:
Join OPQ & R and OX & Y
What transformation moves OABC to OPQR?
What transformation moves ODE to OXY?
Find the centre of rotation.
 

(Rotation about point O)
(Rotation about point O)
Explore how vectors relate to rotation about a vertex of a shape by 90°, 180°, or 270°.
Explore how vectors relate to rotation about different points of rotation.
Explore vectors and rotation with angles other than 90°, 180°, or 270°.