Calculator patterns

Calculator patterns

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources


 

Talia was using a calculator to make number patterns. If you keep pressing the button
on Talia's calculator it keeps making the same change to the number.

Fill in the boxes with a number. Fill in the circles with an operation sign (+, ×, ÷, or –). An example has been done for you.
 

 
                         Pattern: 2, 9, 16, 23, 30 …

Talia pressed                                  

 

a)

 
Pattern: 4, 20, 100, 500, 2500 …

Talia pressed                                   
 

b)

Pattern: 70, 62, 54, 46, 38 …

Taila pressed                                             
 

c)

Pattern: 45, 36, 27, 18, 9 …

Taila pressed                                              
 

d)

Pattern: 80, 40, 20, 10, 5 …

Taila pressed                                             

Task administration: 
This task is completed with pencil and paper only.
Level:
3
Description of task: 
Students complete rules for number patterns generated using a calculator.
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: 

   

Y8 (03/00)

a)

× 5

easy

b)

– 8

easy

c)

– 9

easy

d)

¸ 2

moderate

Diagnostic and formative information: 
 

Student response

Likely miscalculation

Likely reason

a)
d)

+ 16
– 40

4 + 16 = 20
80 – 40 = 40

Creates only the second term of the sequence.

a)
b)
c)
d)

+ 20
– 62
– 36
– 40

 

Enters the second number of the sequence with a + if the sequence increases and a - if it decreases.

b)

– 12 (or + 12)

70 – 62 = 12
because
7 – 6 = 1
2 – 0 = 2

Subtraction error (trying to get a rule for the second term of the sequence).