Statistics and Probability 8_Guided and Independent Investigations
(Year 3) ACMSP068 ACMSP069, NSW MA2-18SP
Collect data, record in column graphs, create column and picture graphs with technology.
GUIDED INVESTIGATION
Children learn
how to investigate the concept by following teacher’s instructions until they are ready
to investigate the concept independently.
INDEPENDENT INVESTIGATION
Children investigate and explain independently over many lessons at
their current level of understanding informing both themselves and the teacher of
their current level of understanding
Resources: pencil, ruler, 1 centimetre grid paper, computer with a spreadsheet program (for example, Microsoft Excel)
What could we do?
Children:
1. sit in pairs
2. collect data as guided
by the teacher
3. construct a table
4. construct a column
graph
5. construct a column
graph using technology
6. construct a picture
What language could we use to ask questions and explain?
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graph using technology 
What is data?
What question could we ask to collect data?
How could we record our data using tally marks?
How could we record our data in a column graph?
What title could we give our vertical axis?
What title could we give our horizontal axis?
How could we number the vertical axis?
How could we label our horizontal axis?
How could we create a column graph using
technology?
How could we create a picture graph using
technology?
REFLECTION Before, during and after lessons,
children discuss then record responses to reflection
questions to inform themselves and the teacher of
their current level of understanding.
What could we do?
Children:
1. sit in pairs
2. collect data that is neither
too easy nor to challenging
3. construct a table
4. construct a column graph
5. construct a column graph
using technology
6. construct a picture graph
using technology
What language could we use to
explain?
 Data is information.
 The question we can ask to
collect data is …
 I recorded the data using
tally marks …
 I constructed a table by…
 I constructed a column
graph by ...
 I constructed a column
graph using technology by ...
 I constructed a picture
graph using technology by ...
What is a table?
What is a graph?
How could we construct a table?
How could we construct a column graph?
How could we construct a column graph using technology?
How could we construct a picture graph using technology?
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
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1
CONGRUENT INVESTIGATIONS
If you can’t explain it
simply, you don’t
understand it well enough.
These investigations allow children to investigate and explain the concept in new and varied situations, providing formative assessment
data for both the child and the teacher.
‘Doing’ mathematics is not enough and is not a good indicator of understanding.
Anyone who has
Investigation takes time as children develop both the capacity and meta-language to explain mathematical concepts
never made a
at their current level of understanding.
mistake has never
tried anything new.
As they investigate, allow children to experience confusion (problematic knowledge) and to make mistakes to develop
resilience and deep understanding,
Collect data using
tally marks, record
in a table, construct
a column graph.

In pairs, children collect data using tally marks that is neither too easy nor to challenging. They construct a table of the data.
They construct a column graph of the data.
Collect data using
tally marks,
construct a column
graph and a picture
graph using
technology.

In pairs, children collect data using tally marks that is neither too easy nor to challenging. They construct a column graph
using technology. They construct a picture graph using technology.
Construct 2-column
graphs.

In small groups, children make simple two-column graphs about children in their group, for example, children who like cats
or dogs best, children who can swim and who cannot.
Construct 3-column
graphs.

In small groups, children make simple three-column graphs about children in their group, for example, children who like
cats, dogs or guinea pigs best, children who walk, come by car or come by bus to school.
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Children could use their data representations for Statistics and Probability 9.
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
YouTube: A Learning Place A Teaching Place
Facebook: A Learning Place
2
Investigating Collecting Data, Recording in Column graphs, Creating Column and
Picture Graphs with Technology.
Statistics and Probability 8 Collect data, record in column graphs, create column and picture graphs with technology.
Collect data using tally marks that is neither too easy nor to challenging.
Construct a table of the data.
Construct a column graph of the data.
http://www.alearningplace.com.au
Investigating Collecting Data, Recording in Column graphs, Creating Column and
Picture Graphs with Technology.
Statistics and Probability 8 Collect data, record in column graphs, create column and picture graphs with technology.
Collect data using tally marks that is neither too easy nor to challenging.
Construct a column graph using technology.
Construct a picture graph using technology.
http://www.alearningplace.com.au
Investigating Collecting Data, Recording in Column graphs, Creating Column and
Picture Graphs with Technology.
Statistics and Probability 8 Collect data, record in column graphs, create column and picture graphs with technology.
Sit in a small group.
Make a simple two-column graph about children in your group, for example,
children who like cats or dogs best, children who can swim and who cannot.
http://www.alearningplace.com.au
Investigating Collecting Data, Recording in Column graphs, Creating Column and
Picture Graphs with Technology.
Statistics and Probability 8 Collect data, record in column graphs, create column and picture graphs with technology.
Sit in small groups.
Make simple three-column graphs about children in your group, for example,
children who like cats, dogs or guinea pigs best, children who walk, come by car or
come by bus to school.
http://www.alearningplace.com.au