Space Students are to recognise shapes as well as visualise, draw and model shapes, locations and arrangements and predict and show the effect of transformations on them. Using their knowledge of shapes, transformations and arrangements, students are able to solve problems and justify solutions. Space activities should emphasise the investigation of the features of objects in the environment, including their shape and the effect on them of changes in shape, size and position, and include symmetry and tessellations. The features of objects should be emphasised in space activities. Relationships between three-dimensional shapes and two-dimensional shapes are represented by nets, diagrams and scale models. Sorting and classifying of shapes continues. Angles and directions are related to compass directions.
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The New Wave Maths series develops space exploration of the students' own environment and objects within it. By manipulating materials in a variety of ways students learn to observe and describe them in everyday language. Estimation and measuring skills using standard units should be completed.
Work in algebra is based on patterns in space and number strands. Relationships between two quantities should be noted when one of the quantities is varied. Where possible, relationship graphs should be used to explain relationships. Students should be finding ways to explain generalisations in these early stages of development of algebra. There is little algebra covered in the New Wave Maths series; however, teachers should be aware of this outcome, particularly for talented students who may recognise and describe the nature of variation in situations and are able to read, write and understand the meaning of symbolic expressions. They may also write equations and inequalities to describe situations.
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Number patterns are covered in much of the number work, which in turn leads to the development of algebra.
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New Wave Maths Book D – Teachers Guide • 11 •