How far?

How far?

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about working out how many kilometres were travelled given how long it takes to travel one kilometre.

A car travels 1 kilometre in 1 minute 12 seconds.
At this rate, how many kilometres will the car travel in 1 hour? __________ km

 

You may use the space below to show your working

 

 

Task administration: 
This task is completed with pencil and paper only.
Level:
5
Curriculum info: 
Maths, Number and Algebra, Number Strategies
Keywords: 
rates, speed, distances, time
Description of task: 
Students answer a question about working out many kilometres were travelled in one hour from a given time to travel one kilometre.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Multiplicative thinking, sets 8-9
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
   

Y9 (10/96)
50 km = ( × 60) difficult
Diagnostic and formative information: 
Student response Likely calculation Likely misconception
72 km  × 60 Inverts ratio.
53.57 km
(or 53 – 54)		 × 60 Confuses seconds with decimal part of a minute (i.e., 12 sec = 0.2 min not 0.12).
67.2 km × 60 Confuses seconds with decimal part of a minute.
Inverts ratio.
89.2 km × 100 Confuses seconds with decimal part of a minute.
Uses 'correct' ratio but multiplies by wrong amount.