What's the same as ...

What's the same as ...

Auto-markingPencil and paperOnline interactive
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Further Resources
This task is about number sentences that look different but are equal.

Question

a)  What is 8 × 5 the same as? (Select one)

    • 58

    • 8 + 5

    • 5 × 8

    • 7 × 6

    • 85

Question

b)  What is 67 × 3 the same as? (Select one)

    • 67 + 3

    • 63 × 7

    • 6 × 73

    • 3 × 67

    • 673

Question

c)  What is 48 × 23 the same as? (Select one)

    • 48 + 23

    • 23 × 48

    • 42 × 83

    • 43 × 82

    • 4 382

Task administration: 
This task can be completed with pencil and paper or online (with auto-marking displayed to students).
Level:
2
Curriculum info: 
Maths, Number and Algebra, Equations and expressions
Keywords: 
multiplication, commutativity, equality
Description of task: 
Students select the equations that show the commutative law.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Using symbols and expressions to think mathematically, set 3
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
  Y4 (06/1999)
a) 5 × 8 (C) easy
b) 3 × 67 (D) moderate
c) 23 × 48 (B) easy

NOTE: Calculators should not be used for this resource as the emphasis is on understanding not calculation.

Adapting resources with multiple-choice (selected response) questions

Resources with multiple-choice (selected response) questions have a range of "distractor" answers which may reveal information about student's misunderstanding of the concept.  These distractors themselves can lead to further group discussion about "why" they are incorrect, or students can be asked why they gave this answer.  Subsequently, the resource can be adapted from a pen and paper resource to one that may support group or class discussion around the concept.  The selected response questions can also be adapted for predict, observe and explain POE or Concept Cartoon inquiry.  Click on any of the links for further information about adapting multiple-choice (selected response) questions.

 

For more information about commutativity and algebraic thinking see the Algebraic Thinking Concept Map: Commutativity.