Illustrating the Mathematics Standards

image map.

Year 1Year 2Year 3Year 4Year 5Year 6Year 7Year 8

Stained Glass Window: Illustrating the year 8 standard

The following examples of student work illustrate achievement at the mathematics standards for year 8.
 

The task used in this illustration was part of a visual arts and technology unit in which students were asked to design a stained glass window. The students explored geometric shapes used in stained glass patterns and the technology associated with joining pieces of glass.

For this task, the students were asked to use a “maths lens” and to document aspects of number, geometry, and measurement evident in their designs.

The task relates to achievement objectives for Number and Algebra and for Geometry and  Measurement from the mathematics and statistics learning area in The New Zealand Curriculum.

The Task

Stained Glass Window

  1. Design a stained glass window to fit a 1-square-metre frame.
  2. After you have designed your window, divide a piece of paper into three sections, Number, Geometry, and Measurement, and describe your design, using numbers, symbols, and mathematical language. For example:
    • under Number, calculate the fraction that each shape is of the whole
    • under Geometry, comment on transformations in your design
    • under Measurement, calculate the areas of coloured glass needed for your design and the perimeter of the shapes (you can use this later to work out how much lead you will need).

Some features of students’ work used to make judgments in relation to the mathematics standards are described below. There is also an illustration of the year 6 standard and an illustration of the year 7 standard for this task.

New Zealand Curriculum: Level 4 National Standards: By the end of year 8
In solving problems and modelling situations, students will:
Number and Algebra
  • find fractions, decimals, and percentages of amounts expressed as whole numbers, simple fractions, and decimals (number strategies and knowledge)
Number and Algebra
  • apply multiplicative strategies flexibly to whole numbers, ratios, and equivalent fractions (including decimals and percentages)
Geometry and Measurement
  • convert between metric units, using whole numbers and commonly used decimals
  • identify classes of two- and three-dimensional shapes by their geometric properties (shape)
Geometry and Measurement
  • make simple conversions between units, using decimals
  • sort two- and three-dimensional shapes into classes, considering the relationships between the classes and justifying the decisions made

Hover over the image to zoom a section.  Click on the image to enlarge it. Click again to close.

PDF of this task and Illustrations of the year 6, 7 and 8 standards (1.55MB)