Island of Zazz

Island of Zazz

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about using and map with a scale.
 
map of the Island of Zazz
Here is a map of the island of Zazz. Seven towns are marked on the map.
 
a)
What is the shortest distance from
 
  i)
Abba to Blob? __________ km
 
  ii)
Blob to Dude going through Coco? __________ km
 
  iii)
Dude to Grug going through Elle and Feef on the way? __________ km
 
 
b)
i)
Draw a diagonal line from Elle to Grug on the map above.
 
  ii)
How far is it from Elle to Grug travelling along this line? __________ km
Task administration: 
This task can be completed with pencil and paper.
Copyright: 
Island-of-zazz.png
Image copyright: NZCER
Level:
3
Curriculum info: 
Maths, Geometry and Measurement, Position and orientation
Keywords: 
scale, maps, distance, shortest paths
Description of task: 
Students calculate the shortest distance between two points on a grid map by using a scale.
Curriculum Links: 
 
 
Answers/responses: 
 
Y6 (09/2000)
a)
 i)

ii)
iii)
50
60
90
easy
moderate
moderate
b)
i)
ii)
A diagonal line is drawn from Elle to Grug.
Island-of-zazz-diagonal.png
50 [Accept answers consistent with b) i)]
easy
difficult
Diagnostic and formative information: 
 
Common error
Likely reason
a) i)
    ii)
    iii)
b) ii)
5
6
9
5
Uses scale of 1 cm to 1 km rather than 1 cm to 10 km.
a) i)
    ii)
    iii)
b) ii)
60
70
100
60
Correct answer plus 10 km. Starts scale (or counting squares) at 10 rather than 0.
b) ii)
40 (or 4)
Does not use scale – either estimates, gives distance to the south or assumes squares have a diagonal of 10 km.