Translating points II

Translating points II

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.
points on a grid
 
a) i) Translate point A by the vector vector three zero and label it R 
    ii) Translate point B by the vector vector seven zero  and label it S
    iii) Translate point C by the vector vector seven zero  and label it T
    iv) Translate point D by the vector vector three zero  and label U
 
 
points on a grid
a) i) Translate point E by the vector zero negative two and label it X.
    ii) Translate point F by the vector vector zero negative six  and label it Y.
    iii) Translate point G by the vector vector zero negative four  and label it Z.
Task administration: 
This task is completed with pencil and paper only.
Level:
5
Curriculum info: 
Maths, Geometry and Measurement, Transformation
Keywords: 
vectors, transformations, reflection, 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 RST & U and XY & Z.
What transformation moves ABCD to RSTU?
What transformation moves EFG to XYZ?
Find the line of symmetry for each shape.

(Reflection in a vertical line)
(Reflection in a horizontal line)
Explore how vectors relate to reflection in a horizontal or vertical line.
Explore how vectors relate to reflection in diagonal lines of different angles.