The Ministry is migrating nzmaths content to Tāhurangi.
Relevant and up-to-date teaching resources are being moved to Tāhūrangi (tahurangi.education.govt.nz).
When all identified resources have been successfully moved, this website will close. We expect this to be in June 2024.
e-ako maths, e-ako Pāngarau, and e-ako PLD 360 will continue to be available.
For more information visit https://tahurangi.education.govt.nz/updates-to-nzmaths
This means that students will apply trigonometric ratios to find the angles and lengths of sides in right-angled triangles. Students need to recognise two features of trigonometric ratios:
This means that students will accurately describe the transformation a figure or object has undergone and describe the invariant properties. At Level Five this will include the angle and centre of rotation, the distance and direction of translation, the magnitude and centre of enlargement (including fractional changes for example 1 1/2), and the line of reflection. Students will also draw the results of transformations on objects.
Students will be able to describe which properties of shapes change for each transformation:
This means that students will use co-ordinate axes including positive and negative integers and decimals. Straight lines will be described using equations or co-ordinate pairs, for example y = x + 4, or “the line that passes through (-4, 0.5) and (2, 1.5)”.
This means that students will draw the graph of linear and simple quadratic equations. They will also be able to identify the linear equation for the graph of a given simple loci.
This means students will know invariant properties are those features of a figure that do not change as it is reflected, rotated, translated or enlarged.
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Under rotation lengths, areas, angles do not change but orientation does.
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Under reflection lengths, areas and angles do not change but orientation does.
