Patterns and rules III

Patterns and rules III

Pencil and paperOnline interactive
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Further Resources
This task is about patterns and rules.

Question 1Change answer

illustration: collection of numbers
a) i)
Write down the next two numbers in this pattern. 1, 4, 2, 5, 3, 6, 4, , .
 
   ii)
Write down the rule you used to work out the pattern.

Question 1Change answer

b)
i)
 
Write down the next two numbers in this pattern. 1, 3, 9, 27, 81, , .
 
   ii)
Write down the rule you used to work out the pattern.
Task administration: 
This task can be completed with pencil and paper or online (with some auto-marking).
Level:
3
Curriculum info: 
Maths, Number and Algebra, Patterns and relationships
Keywords: 
number patterns, recursive rules
Description of task: 
Students complete two number patterns and write down a rule for each.
Curriculum Links: 
 
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Patterns and relationships, sets 4-5
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

Y6 (12/1997)
a) i)

ii)

 7, 5 [Accept if they are obtained from a consistent rule].
Add on 3 then subtract 2,
or Add 1 to the second to last number,
or Any other rule which consistently works.
NOTE: students describe this rule in a variety of ways, e.g., "Every second number is the normal number pattern".		 easy

moderate
b) i)

ii)

 243, 729 [Accept if they are obtained from a consistent rule].
Multiply the last number by 3.
or Any other rule which consistently works.		 difficult

difficult