# Illustrating the Mathematics Standards

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#### Moving Around: Illustrating the year 2 standard

The following examples of student work illustrate achievement at the mathematics standards for year 2.

The task used in this illustration was part of a geometry unit focusing on position and orientation. It was adapted from a task in the Kiwisport Orienteering Manual called Desktop Map Game (p. 28).

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

#### Moving Around

On a sheet of A3 paper, arrange small bears and other objects (for example, ice block sticks,  attribute blocks, small model vehicles) to create a model of a scene.

1. Describe your model and where objects are on it.
2. Years 1–3: Hide a piece of treasure (such as a counter) under an object on your model and give instructions for moving to it.
Years 4–6: Give directions for moving an object from one point to another on the model.

(Note: Students working within curriculum level 3 should use grid paper with compass points on it instead of a blank sheet of paper.)

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, an illustration of the year 3 standard, an illustration of the year 5 standard and an illustration of the year 6 standard for this task.

 New Zealand Curriculum: Level 1 National Standards: After two years at school In solving problems and modelling situations, students will: Number and Algebra use a range of counting, grouping, and equal-sharing strategies with whole numbers and fractions (number strategies) Number and Algebra apply counting-on, counting-back, skip-counting, and simple grouping strategies to combine or partition whole numbers Geometry and Measurement give and follow instructions for movement that involve distances, directions, and half- or quarter-turns describe their position relative to a person or object (position and orientations) order and compare objects or events by length, area, volume or capacity, weight (mass), turn (angle), temperature, and time by direct comparison and/or counting whole numbers of units (measurement) Geometry and Measurement describe personal locations and give directions, using steps and half- or quarter-turns compare the lengths, areas, volumes or capacities, and weights of objects and the durations of events, using self-chosen units of measurement

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