How hungry?

How hungry?

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about drawing a graph to show how hungry someone was at different times of the day.

Draw a dot plot to show how hungry Paula was feeling throughout the day.

 
a)
She woke up at 8 a.m. feeling very hungry.
 
b)
She had breakfast and by 9 a.m. she felt just right, neither hungry nor full.
 
c)
She slowly got hungrier until she ate her lunch at 12 p.m.
 
d)
She had a huge lunch and by 1 p.m. she felt very full.
 
e)
At dinnertime, 6 p.m., she still felt pretty full, so she didn't eat any dinner.
 
f) It was silly to miss dinner because when she went to bed at 8 p.m. she felt quite hungry.
Task administration: 
This task is completed with pencil and paper only.
Level:
3
Curriculum info: 
Maths, Number and Algebra, Patterns and relationships
Keywords: 
graph construction, relationships, line graphs, equations
Description of task: 
Students sketch a relationship graph from information about how hungry a person was over the course of a day.
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: 

 

Y8 (03/2000)

 

Draws a line graph.

moderate

a)

At 8 a.m. the dot is on or very close to the x-axis.

very easy

b)

At 9 a.m. the dot is about half-way up the y-axis.

very easy

c)

The dot goes down until 12 p.m.

moderate

d)

The dot goes up to the top by 1 p.m.

easy

e)

The dot goes down by 6 p.m. but not below half way.

moderate

f)

The dot continues down until 8 p.m. but not right to the bottom.

moderate

 

This is an example of what the dot plot might look like.

 
Diagnostic and formative information: 
 

Common error
 

Does not draw a dot plot.

c) or d)

keeps graph climbing after 1 p.m. or starts it climbing before 12 p.m.

e)

Graph horizontal (dots at same height above x-axis) between 1 p.m. and 6 p.m. rather than slight downward slope.

f)

Graph falls to "very hungry" instead of being a little higher.