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WS03 - Interpreting and comparing data

Mathematics, Year 6

By the end of Year 6, students use integers to represent points on a number line and in the Cartesian plane. They solve problems using the properties of prime, composite and square numbers. Students order common fractions, giving reasons, and add and subtract fractions with related denominators. They use all 4 operations with decimals and connect decimal representations of measurements to the metric system. Students solve problems involving finding a fraction, decimal or percentage of a quantity and use estimation to find approximate solutions to problems involving rational numbers and percentages. They use mathematical modelling to solve financial and other practical problems involving percentages and rational numbers, formulating and solving the problem, and justifying choices. Students find unknown values in numerical equations involving combinations of arithmetic operations. They identify and explain rules used to create growing patterns. Students create and use algorithms to generate sets of numbers, using a rule.

 

They interpret and use timetables. Students convert between common units of length, mass and capacity. They use the formula for the area of a rectangle and angle properties to solve problems. Students identify the parallel cross-section for right prisms. They create tessellating patterns using combinations of transformations. Students locate an ordered pair in any one of the 4 quadrants on the Cartesian plane.

 

They compare distributions of discrete and continuous numerical and ordinal categorical data sets as part of their statistical investigations, using digital tools. Students critique arguments presented in the media based on statistics. They assign probabilities using common fractions, decimal and percentages. Students conduct simulations using digital tools, to generate and record the outcomes from many trials of a chance experiment. They compare observed frequencies to the expected frequencies of the outcomes of chance experiments.

Statistics

AC9M6ST01

interpret and compare data sets for ordinal and nominal categorical, discrete and continuous numerical variables using comparative displays or visualisations and digital tools; compare distributions in terms of mode, range and shape

Number

AC9M6N01

recognise situations, including financial contexts, that use integers; locate and represent integers on a number line and as coordinates on the Cartesian plane

Annotations

 

1. Uses the legend to identify the variables represented by the data displays.

 

2. Interprets the data distributions and makes specific statements by referring to the context of a specific variable, e.g. the hottest months related to daily maximum data.

 

3. Interprets a negative value on the temperature scale as “minus 25”.

 

4. Uses reasoning to explain the link between the temperature data represented by the line graphs and the possible location of where the data is from.

 

5. Compares graphs for temperature and precipitation, and identifies a connection between the data sets.

 

6. Recognises the difference between categorical data and continuous data, and the relevant types of display.

 

7. Identifies possible audiences and reasons why the information could be useful. See annotation 11.

8. Recognises the importance of a title for a data representation.

 

9. Uses the legend to identify the age groups represented by the data displays.

 

10. Makes factual statements based on the data distributions.

 

11. Identifies possible audiences and reasons why the information could be useful. See annotation 7.