Reading graphs

Reading graphs

Pencil and paperOnline interactive
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about reading information from graphs.
Sienna and Wiremu's team rolled a marble down a ramp three times. They measured the distance from the bottom of the ramp to where each marble stopped. They wrote the results in the data table below. 
 
Trials Distance marble travelled
1 20 centimetres (cm)
2 24 centimetres (cm)
3 19 centimetres (cm)
wiremu-graph.png
Wiremu's graph
sienna-graph.png
Sienna's graph

Question 2Change answer

Sienna and Wiremu each drew a graph from the data collected. The teacher asked Henri to look at the two graphs and write down all the things that were the same about them. Henri wrote that both graphs:

  • were bar graphs
  • had a distance label on the same axis (side of the graph). 
a) Is there anything that was the same in both the graphs that Henri missed? YesNo    
Explain why you think this.
wiremu-graph.png
Wiremu's graph
sienna-graph.png
Sienna's graph

Question 2Change answer

b) Is there anything that is different in both graphs? YesNo
Explain why you think this.
wiremu-graph.png
Wiremu's graph
sienna-graph.png
Sienna's graph

Question 2Change answer

c) Which is the easier graph to read? Wiremu'sSienna's
Explain why you think this.
Task administration: 
This task can be completed with pencil and paper or online with SOME auto-marking.
Level:
3
Description of task: 
Task: Look for the similarities and differences in how students draw graphs to display information.
Curriculum Links: 
Science capabilities
The capabilities focus is brought about by the conversations students have and the questions they ask.
 
Capability: Interpreting representations
This resource provides opportunities for students to discuss how graphs convey information about how an investigation was carried out and the data obtained
 
Capability: Critique evidence
This resource provides opportunities for students to discuss whether the data gathered provides evidence for the conclusions drawn.
Science capability: Critique evidence (TKI)
Answers/responses: 
Questions Student responses
Henri wrote that both graphs:
  • were bar graphs
  • had a distance label on the same axis (side of the graph)
a) Is there anything that was the same in both the graphs that Henri missed? Yes/No
Explain why you think this.
Yes
Explanation that both graphs have:
  • 3 trials labelled 1, 2, 3 on the x-axis (horizontal axis)
  • the x-axis labelled Trials
  • the same spacing/distance between the 1, 2, 3 on the x-axis
  • the same data e.g., 20 cm, 24 cm, 19 cm as bars
  • a title.
b) Is there anything that is different in both graphs? Yes/No
Explain why you think this.
Yes
Explanation:
  • the scale on the y-axis is in divisions of 10 in Wiremu's graph and divisions of 5's in Sienna's graph
  • there is no distance measurement unit, e.g, cms in Wiremu's graph
  • the titles are different.
c) Which is the easier graph to read? Wiremu's/ Sienna's
Explain why you think this. 
Sienna's
Explanation:
  • reading the exact distance of each trial is easier when the divisions are in 5's 
  • including the unit of measurement gives the real distances the marble rolled
  • the title fully explains the investigation. 
 
Diagnostic and formative information: 
Questions Student explanations
Henri wrote that both graphs:
  • were bar graphs 
  • had a distance label on the same axis (side of the graph)
a) Is there anything that was the same in both the graphs that Henri missed? Yes/No
 
Explain why you think this.
In science it is important to pay attention to similarities as well as differences. This resource focuses on students focussing specifically on similar or different features of two graphs.  
 
Most students did focus on similarities, e.g., they recognised  that both graphs had a title, the same number of trials and the same results/data. Some also said the width of the bars and the title on the x-axis, e.g., Trial were the same.
However some students used differences (instead of similarities), e.g., 

  • Sienna included distance in cm
  • Each graph has a different measurement and title  

Some students also attended to things that were not relevant science features, e.g., colour 

  • That they are both red.
b) Is there anything that is different in both graphs? Yes/No
 
Explain why you think this.
Students found focussing on differences easy, with most students recognising the unit (cm), title and scale on the y-axis as different in both graphs. 
However, many students did not support/explain their choice, e.g., 
  • the result are all different.
  • the title
or compare the graphs in their explanation, e.g.,
  • The intevals between the distance is different
  • The maximum distance for Sienna's graph is 25.
or used non-science (imprecise) ways of describing, e.g.,
  • The sizes the way the numbers went up on the axis
  • Because one looks bigger then the other ones
  • Wiremus graph goes up higher
  • one of them has more detail than the other which makes the bars bigger
Many students could not read the intervals/scale of the graphs correctly, e.g., 
  • Trial Marble 2 is different but the other two trial marbles are the same 
  • siennas graph shows that her trial two was higher then wairemus
even when they recognised the scales were different, e.g.,
  • The numbers on the axis are different and so are the results taken.
c) Which is the easier graph to read? Wiremu's/ Sienna's
 
Explain why you think this. 
When critiquing evidence it is important for students to look carefully at all the data/evidence given and decide if it supports the statements/conclusions made. 
Most students correctly identified that Sienna's graph was easier to read because of the scale.
However a small number of students read the graphs as two seperate investigations, e.g., 
  • She also waited till her marble finished rolling which makes things easier.
  • it says until it stops however on the first one you don't know when it starts.
or related a missing piece of evidence as important, e.g., 
  • Because it has distance (cm) but wiremus doesnt say what its measured in.
  • I think this because the second one have the cm sign
  • Sienna's graph is in cm which makes it easier to read.  
Some students noted the difference in the scale but not why this made a difference, e.g., 
  • more numbers.
Based on 87 students completing the test on-line. 
Next steps: 
Capability 4: Interpreting representations
Scientists represent their ideas in a variety of ways, including models, graphs, charts, diagrams and written texts. Students need to know quite a lot about science knowledge to be able to interpret/understand all the information a graph is telling us. To support students to test their understandings about the quality of representations, give them opportunities to compare/review each others representations. Get them to ask:
  • how much of the data is represented?
  • what data is missing?
  • can they see a pattern/patterns in the representation?
  • is sufficent relevant data being shown? 

Capability 3: Critiquing evidence

In order to evaluate the trustworthiness of data, students need to know quite a lot about the qualities of scientific tests/investigations. To support students to test their understandings about the qualities of scientific explanations, give them opportunities to ask each other questions about their investigations/pattern seeking. 
  • Can they decide if the evidence/data given supports the explanation/conclusion?
  • Is there any data missing?  
  • Is the evidence/data of sufficient quality to support the explanation/conclusion?
The following Level 3 ARB resources are based on Capability 3: Critiquing Evidence and/or Capability 4: Intepreting representations of the Nature of Science. 
They focus on pattern seeking, the trustworthiness of data and/or what information graphs tell us.