Rich Task: Displaying Data (Topic 5.2, Mathematics and Statistics Year 2)

Mathematics and Statistics 2 for Aotearoa New Zealand

Name:

Rich task 5.2

Displaying data Jo asked 16 people to choose their favourite colour out of red, blue, green and yellow. This is what she found out.

There are 16 people in total Blue was the most popular The same number of people like red and yellow Green was the least popular

most

= least

1. Then Jo made a picture graph to show the results. Colour the boxes to show what the graph might have looked like.

Favourite Colours Blue Red Yellow Green

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2. Is there more than one answer? Colour the graph to show a different way the graph might have looked.

Favourite Colours Blue Red Yellow Green

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Teacher notes Curriculum links Y2 Knowledge Statements Visualisation of data

Interpretation

Y2 Practice Statements

Data visualisations are representations (including picture graphs and dot plots) of all available values for a variable that show the frequency for each value.

Dot plots represent each data point with a dot of the same size.

Data visualisations are representations that help reveal the story of a set of data.

Creating data visualisations for categorical data

Describing data visualisations using the variable name and the context and giving the frequency for each category Answering questions about data visualisations, including which category has the most or least items

Possible answers Blue 6, Red 5, Yellow 5, Green 0

Blue 10, Red 3, Yellow 3, Green 0

Blue 8, Red 4, Yellow 4, Green 0

Blue 9, Red 3, Yellow 3, Green 1

Blue 7, Red 4, Yellow 4, Green 1

Blue 8, Red 3, Yellow 3, Green 2

Blue 6, Red 4, Yellow 4, Green 2

Blue 12, Red 2, Yellow 2, Green 0

Blue 5, Red 4, Yellow 4, Green 3

Blue 11, Red 2, Yellow 2, Green 1 Blue 14, Red 1, Yellow 1, Green 0

What to notice and look for   

Do the students accurately colour the graph and check that each statement is true?

Do they notice any patterns, e.g. it is impossible for more than 3 people to have chosen green Do the students work systematically to deduce more than one possible answer?

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