Illustrating the Mathematics Standards

image map.

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

Tiled Photo Frames: Illustrating the year 3 standard

The following examples of student work illustrate achievement at the mathematics standards for year 3.

The task used in this illustration was part of a whole-school focus on Algebra and allowed students to explore sequential patterning for photo frames.

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

The Task

Tiled Photo Frames

Use tiles and a photo-frame template to design a pattern for a photo frame.
Explain your pattern.

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 1 standard and an illustration of the year 2 standard for this task.

New Zealand Curriculum: Level 2 National Standards: After three years at school
In solving problems and modelling situations, students will:
Number and Algebra
  • use simple additive strategies with whole numbers and fractions (number strategies)
  • find rules for the next member in a sequential pattern (patterns and relationships)
Number and Algebra
  • apply basic addition facts and knowledge of place value and symmetry to:
    - combine or partition whole numbers
    find fractions of sets, shapes, and quantities
  • create and continue sequential patterns with one or two variables by identifying the unit of repeat

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PDF of this task and Illustrations of the year 1, 2 and 3 standards (1.41MB)