Patterns and rules II

Patterns and rules II

Pencil and paper
Overview
Connecting to the Curriculum
Marking Student Responses
Further Resources
This task is about completing and describing a rule for how some number patterns change.
a) i) Complete this number pattern by filling in the boxes.
 
    1, 3, 5, , , ,
    
ii)
  
How did you complete the pattern?
 
 
 

b)

i)

Complete this number pattern by filling in the boxes.
 
    1, 6, 11, , , ,
    
ii)
  
How did you complete the pattern?
 
 
 

c)

i)

Complete this number pattern by filling in the boxes.
 
    27, 24, , 18, , ,
   
ii)
 
How did you complete the pattern?
 
 
 

d)

i)

Complete this number pattern by filling in the boxes.
 
    2, 4, , 16, , , 128
   
ii)
 
How did you complete the pattern?
 
 
Level:
3
Curriculum info: 
Maths, Number and Algebra, Patterns and relationships
Keywords: 
number patterns, recursive rules
Description of task: 
Students complete number patterns and express the rules in words.
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 (08/1998)
a) i)
ii)		 7, 9, 11, 13
Any 1 of:
•   add on 2
•   all odd numbers
•   miss out a number.		 very easy
easy
b) i)
ii)		 16, 21, 26, 31
Add on 5		 easy
easy
c) i)
ii)		 21, 15, 12, 9
Subtract 3		 easy
easy
d) i)
ii)		 8, 32, 64
Any 1 of:
•   multiply by 2
•   add two of the same number.		 difficult
difficult

NOTE: For a) to d) give full marks if an alternative rule is stated that works and the student completes each pattern.