Mathematics proficiencies

Understanding / Fluency / Problem-Solving / Reasoning

Year 6

Measurement and geometry: Dimensions of a 3D object

Summary of task

Students were asked to determine the dimensions of a box given the length of ribbon of 1.2 metres needed to wrap around the parcel.

Proficiencies

At this year level understanding includes describing properties of different sets of numbers, using fractions and decimals to describe probabilities, representing fractions and decimals in various ways and describing connections between them, and making reasonable estimations.

At this year level fluency includes representing integers on a number line, calculating simple percentages, using brackets appropriately, converting between fractions and decimals, using operations with fractions, decimals and percentages, measuring using metric units and interpreting timetables.

At this year level problem-solving includes formulating and solving authentic problems using fractions, decimals, percentages and measurements, interpreting secondary data displays and finding the size of unknown angles.

At this year level reasoning includes explaining mental strategies for performing calculations, describing results for continuing number sequences, explaining the transformation of one shape into another and explaining why the actual results of chance experiments may differ from expected results.

1 Understanding
Represents the amount of ribbon (without bow) to be used to wrap the parcel as appropriate multiples of its length, breadth and height 2 Fluency
Calculates efficiently and accurately the amount of ribbon (without bow) required for wrapping the parcel and the amount of ribbon remaining for the bow, and describes the strategies used

  • Annotations

  • 1
    Understanding
    Represents the amount of ribbon (without bow) to be used to wrap the parcel as appropriate multiples of its length, breadth and height
  • 2
    Fluency
    Calculates efficiently and accurately the amount of ribbon (without bow) required for wrapping the parcel and the amount of ribbon remaining for the bow, and describes the strategies used