Predicting resizing

Predicting resizing

Auto-markingPencil and paperOnline interactive
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about resizing and scale factors.
 

Question

   
 
a)  If Shape P was transformed with an enlargement scale factor of 1 1/2, it would become ...

    • shape A

    • shape B

    • shape C

    • shape D

    • shape E

Question

 
b)  If shape Q was transformed with an enlargement scale factor of 1/2, it would become ...

    • shape A

    • shape B

    • shape C

    • shape D

    • shape E

Question

 
c)  If Shape R was transformed with an enlargement scale factor of 1⁄3, it would become ...

    • shape A

    • shape B

    • shape C

    • shape D

    • shape E

Task administration: 
This task can be completed with pencil and paper or online (with auto marking displayed to students).
Level:
5
Curriculum info: 
Maths, Geometry and Measurement, Transformation
Keywords: 
enlargement, resizing, scale factor
Description of task: 
Students identify which square, from a selection of five, is the original square resized by a given scale factor.
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: 

 

Y11 (10/2001)

a)

C

easy

b)

B

easy

c)

A

easy
Diagnostic and formative information: 
  

Common errors

Likely miscalculations

Likely reasons


a)

b)

c)


E (13%)

E (13%)

D (24%)

Side length = 5 = 2 + 1 1/2 × 2
Side length = 6 = 4 + 1 1/2 × 4
Side length = 4 = 3 + 1/3 × 3

Increases each side length by scale factor × the original side length.

b)

D (19%)