Squares and rectangles

Squares and rectangles

Auto-markingPencil and paperOnline interactive
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
This task is about working out how many smaller square and rectangular units are needed to make up larger shapes.

The shape above is made up of squares and rectangles.
 

Question 2Change answer

a)  How many of the smallest squares, , are used to make the smallest rectangle, ?

Question 2Change answer

b)  How many of the smallest squares, , are used to make the biggest square (ACDF)?

Question 2Change answer

c)  How many of the smallest rectangles, , are used to make the biggest rectangle (ABEF)?
Task administration: 
This task can be completed with pencil and paper or online (with auto marking displayed to students).
Level:
5
Keywords: 
Description of task: 
Students identify how many smaller square and rectangular units make up larger square and rectangular shapes.
Learning Progression Frameworks
This resource can provide evidence of learning associated with within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
   

Y10 (12/97)

a) 2 very easy
b) 256 [Accept 16 × 16.] moderate
c) 64 moderate
Diagnostic and formative information: 
  Student response Likely reason
b) 128, 64 Calculates area of square other than the biggest (i.e., ACDF).
c) 128 Uses the number of smallest squares instead of smallest rectangles.