Stacking wood

Stacking wood

Pencil and paperOnline interactive
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about working out how many logs were stacked and how much people got paid.
logs in a stack.png
When the wood had to be stacked for winter Mr Wary gave his children 10c for every 20 logs they stacked. There were 485 logs.

 

Question 2Change answer

a)  Finish the table to show how many logs each child stacked.
Name Earnings Logs stacked
Ian 40c i)   
Donna 60c ii)  
Jack 50c iii) 
Roy 50c iv)  
Jess 40c v)   

Question 4Change answer

b)  How many logs were not stacked? logs
Task administration: 
This task can be completed with pen and paper or online (with NO auto marking).
Level:
3
Curriculum info: 
Maths, Number and Algebra, Number Strategies
Keywords: 
rates, money, division
Description of task: 
Students calculate the number of logs stacked by a group of children using information about the amount paid per log.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Multiplicative thinking, sets 4-5
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

Y6 (11/1996)

Y7 (11/1996)
a) i)
ii)
iii)
vi)
v)		 80
120
100
100
80		 easy
(for all correct)		 easy
(for all correct)
b)   5  
[Accept if answer = 485 minus the sum of answers to a).]		 easy easy
Diagnostic and formative information: 
 

Student response

Likely calculation

Likely misconception

a) i)
    ii)
    iii)
    iv)
    v)

4
6
5
5
4

= 4, etc.

Magnitude incorrect. Assumes 10c per log not per 20 logs.

a) i)
    ii)
    iii)
    iv)
    v)

40
60
50
50
40

  

Confuses logs and cents (c).