Translating points

Translating points

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 four zero and label A' 
    ii) Translate point B by the vector vector six one  and label B'
    iii) Translate point C by the vector vector seven negative one  and label C'
    iv) Translate point D by the vector vector five negative 2  and label D'
 
 
 
a) i) Translate point E by the vector vector three one and label E' 
    ii) Translate point F by the vector vector negative two three  and label F'
    iii) Translate point G by the vector negative one negative three  and label G'
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, enlargement, 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.

 4 correct – moderate

2-3 correct – easy
b)

NOTE: Accept if points are unlabelled.

 3 correct – moderate

1-2 correct – easy
 
Next steps: 
Extension:
Join A'B'C'&D' and E'F'&G'
What transformation moves ABCD to A' B' C' D'? (enlargement by a scale factor of 2)
What transformation moves EFG to E'F'G'? (enlargement by a scale factor of 2)
Find the centre of enlargement for each set of shapes.
Explore how vectors relate to enlargement and centres of enlargement.