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Level Four: Geometry and Measurement

New Zealand Curriculum Level 4

In a range of meaningful contexts, students will be engaged in thinking mathematically and statistically. They will solve problems and model situations that require them to:

National Standards

In contexts that require them to solve problems or model situations, students will be able to:

Year 7

Year 8

Measurement
  • Use appropriate scales, devices, and metric units for length, area, volume and capacity, weight (mass), temperature, angle, and time.
  • Convert between metric units, using whole numbers and commonly used decimals.
  • Use side or edge lengths to find the perimeters and areas of rectangles, parallelograms, and triangles and the volumes of cuboids.
  • Interpret and use scales, timetables, and charts.
Shape
  • Identify classes of two- and three-dimensional shapes by their geometric properties.
  • Relate three-dimensional models to two-dimensional representations, and vice versa.
Position and orientation
  • Communicate and interpret locations and directions, using compass directions, distances, and grid references.
Transformation
  • Use the invariant properties of figures and objects under transformations (reflection, rotation, translation, or enlargement).
  • measure time and the attributes of objects, using metric and other standard measures
  • make simple conversions between units, using whole numbers
  • use side or edge lengths to find the perimeters and areas of rectangles and parallelograms and the volumes of cuboids, given whole-number dimensions
  • sort two- and three-dimensional shapes into classes, defining properties and justifying the decisions made
  • identify and describe the transformations that have produced given shapes or patterns;
  • create or identify nets for rectangular prisms and other simple solids
  • draw plan, front, side, and perspective views of objects
  • describe locations and give directions, using grid references, simple scales, turns, and points of the compass.
  • use metric and other standard measures
  • make simple conversions between units, using decimals
  • use side or edge lengths to find the perimeters and areas of rectangles, parallelograms, and triangles and the volumes of cuboids
  • sort two- and three-dimensional shapes into classes, considering the relationships between the classes and justifying the decisions made
  • identify and describe the features of shapes or patterns that change or do not change under transformation
  • create or identify nets for rectangular prisms and other simple solids, given particular requirements
  • draw or make objects, given their plan, front, and side views or their perspective views
  • describe locations and give directions, using scales, bearings, and co-ordinates.
 
Elaborations on level four Geometry and Measurement achievement objectives. National Standard Illustrations:
Points of View