Expected level of development
Australian Curriculum Mathematics V9: AC9M5ST02
Numeracy Progression: Interpreting and representing data: P5
At this level, students interpret line graphs representing change over time. They discuss the relationships that are represented and draw conclusions.
Provide opportunities for students to analyse and interpret data presented in two-way tables and line graphs. Use questioning to prompt students to describe patterns, trends or relationships they notice in the data. It is also important that students have the chance to decide which graphical representations to use and determine when graphs are suitable or not suitable for the context and data they have collected. Make explicit that line graphs are suitable to represent continuous data, such as to show trends in speed or temperature.
A useful approach for applying understanding of line graphs is to present unlabelled line graphs and have students interpret and match the data to relevant contexts.
Provide guidance and the opportunity for students to use digital tools to explore how different types of graphs can be created from one dataset. Students can discuss the advantages and disadvantages of each and develop the ability to choose graphical displays wisely. They can also determine when a particular type of graph may or may not be helpful to describe a set of data.
This topic can be explored using scientific investigations that involve interpreting data, particularly those that include temperature data.
Teaching and learning summary:
- Model ways to interpret data presented in two-way tables and line graphs.
- Make explicit the benefit of using line graphs for continuous data.
- Provide guidance and the opportunity for students to use digital tools, including the use of software such as spreadsheets to create graphs to represent data.
The Learning from home activities are designed to be used flexibly by teachers, parents and carers, as well as the students themselves. They can be used in a number of ways including to consolidate and extend learning done at school or for home schooling.
Learning intention
- We are learning about lines graphs and when to use them.
Why are we learning about this?
- Lines graphs are an important way to represent data that is continuous such as temperature.
What to do
- Open this worksheet: Capital city data detective.
- Work out which table relates to which capital city. Explain your reasoning.
- Here is a partly completed graph using some of the data from one of the tables.
- Which table is this graph representing: Table A or Table B?
- Why are there two lines for this graph? What do the different coloured lines represent?
- Can you predict what the graph with all the values plotted might look like?
- Plot the points to see if you were correct.
3. Create a graph for the other table of data. If you can, use a computer and spreadsheet to create the graph.
4. Consider the best type of graph to use. Give a reason for your choice of graph.
- What patterns do you notice?
- What conclusions can you draw from the two graphs?
Success criteria
I can:
- interpret data and create a graph to represent the data
- make conclusions about the represented data.
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Teaching strategies
A collection of evidence-based teaching strategies applicable to this topic. Note we have not included an exhaustive list and acknowledge that some strategies such as differentiation apply to all topics. The selected teaching strategies are suggested as particularly relevant, however you may decide to include other strategies as well.
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Explicit teaching
Explicit teaching is about making the learning intentions and success criteria clear, with the teacher using examples and working though problems, setting relevant learning tasks and checking student understanding and providing feedback.
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Questioning
A culture of questioning should be encouraged and students should be comfortable to ask for clarification when they do not understand.
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Feedback
It has been shown that good feedback can make a significant difference to a student’s future performance.
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Mathematics investigation
By giving students meaningful problems to solve they are engaged and can apply their learning, thereby deepening their understanding.
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Multiple exposures
Providing students with multiple opportunities within different contexts to practise skills and apply concepts allows them to consolidate and deepen their understanding.
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Teaching resources
A range of resources to support you to build your student's understanding of these concepts, their skills and procedures. The resources incorporate a variety of teaching strategies.
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Osprey altitude data
In this lesson, students acquire data related to the altitudes reached by fledgling osprey practising flight.
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Osprey migration data
In this lesson, students acquire data related to the migration of the osprey.
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Osprey bird dimensions
In this lesson, students investigate measurement data related to the osprey.
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Osprey position and location
In this lesson, students describe location and position on a Cartesian plane using paired coordinates.
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Osprey ranking threats
In this lesson, students work in groups to rank a list of key threats and collate the data in a class spreadsheet.
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Flight of the osprey infographic
In this lesson, students use data acquired during their learning about the osprey and information sourced online to design and create an infographic.
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Bean there
This lesson uses the context of growing seedlings to interpret graphical data.
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Cool colours
This lesson focuses on interpreting data represented as a line graph to answer a scientific question related to colours and heat absorption.
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Talking technology
This lesson focuses on interpreting data represented as a line graph to answer a scientific question related to common forms of technology.
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Cold coffee
This is a level 3 statistics activity from the Figure It Out series. It is focused on constructing a time-series graph, answering questions from graphs, and making conclusions from own investigation. A PDF of the student activity is included.
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Logging on
https://newzealandcurriculum.tahurangi.education.govt.nz/logging-on/5637200268.p
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