Geometry āhuahanga

Ako Posters

I can sort shapes: āhuahanga, by common features

Curved surfaces Flat surfaces

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Shapes with 3

straight sides

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I know that 2-D shapes:

āhua ahurua, are

used to make nets

for 3-D shapes: ahutoru

Nets are folded to make solid

Shapes, like this net for a cuboid: poro-tapawhā hāngai.

I can make and use maps: mapi, to show distance and compass: kāpehu, directions

I can describe

directions using half

and quarter turns

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I can predict where shapes will move

to when we do translation: nekehanga,

reflection: whakaatanga, and

rotation: hurihanga

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I can sort 2D shapes: āhua ahurua, by their features: number of sides and angles: koki, parallel sides: rārangi whakarara, equal: ōrite, sides and angles,

and line symmetry:

hangarite whakaata,

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or

rotational symmetry:

hangarite hurihanga

I can sort 3D shapes: ahutoru by their cross-sections: topenga, and draw views and nets for 3D shapes

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I can use grid references and coordinates: taunga tukutuku, to find places

on maps: mapi,

and give directions

(north: raki,

south: tonga,

east: whitinga,

west: tomokanga),

and distances

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I can describe the

transformations

(reflection, rotation,

translation, or

enlargement) that

have mapped one

object onto another

hurihanga

whakaatanga

nekehanga

I can identify classes of 2D shapes: āhua ahurua, and 3D shapes: ahutoru, by their

geometric properties

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I can communicate and interpret

locations and directions, using

compass: kāpehu directions,

distances: pūmamao, and

grid: tukutuku references,

and interpret map

scales:mapi tauine

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I can relate 2D and 3D

diagrams of

solids: ahutoru

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I can use the invariant properties: āhuatanga pūmau (things that do not change) of figures and objects using transformation geometry: āhuahanga panoni

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I can deduce the angle: koki properties of intersecting lines: rārangi pūtahi, and parallel lines: rārangi whakarara, and the angle properties of polygons: taparau, and apply these properties

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I can apply trigonometric ratios: ōwehenga pākoki, and Pythagoras’ theorem: ture a Pythagoras, in two dimensions

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I can interpret points and lines on coordinate planes: taunga tukutuku, including scales and bearings: raranga on maps: mapi

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koki tauwhiti

koki tauroto

koki taurite

koki tauaro

I can create accurate nets for simple polyhedra: matarau, and connect 3D solids: ahutoru, with different 2D: āhua ahurua representations

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Answers: A3, B2, C4, D5, E1

I can construct and describe

simple loci: huanui

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I can define and use transformations: āhuahanga panoni, and describe the invariant properties: āhuatanga pūmau, of objects under these transformations

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I can deduce and apply the angle properties related to circles: porotaka

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I can use trigonometric ratios: ōwehenga pākoki and Pythagoras’ theorem: ture a Pythagoras in two and three dimensions

I can recognise when shapes are similar: ōrite te āhua, and use proportional reasoning: whakaaro pānga riterite,

to find an unknown

length

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I can use a coordinate plane: taunga tukutuku, or map: mapi, to show points in common and areas contained by two or more loci: huanui

In this example, the

shaded region is the set

of points within 5 cm

from Q and 3 cm from

AB.

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I can compare and apply single and multiple transformations: panoni

In this example, Figure 1 is reflected in the y-axis (x = 0) to figure 2. Figure 2 is rotated 90⁰ anticlockwise about the origin (0 , 0) onto Figure 3.

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I can analyse symmetrical: hangarite, patterns by the transformations: panoni, used to create them

In this kowhaiwhai pattern, the

original motif has been

translated and then the whole

design has been reflected

horizontally.

Transformation geometry: āhuahanga panoni

translation: nekehanga

reflection: whakaatanga

rotation: hurihanga

enlargement: whakarahinga

I can use a coordinate plane: taunga tukutuku, or map: mapi, to show points in common and areas contained by two or more loci: huanui

In this example, the

shaded region is the set

of points within 5 cm

from Q and 3 cm from

AB.

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I can compare and apply single and multiple transformations: panoni

In this example, Figure 1 is reflected in the y-axis (x = 0) to figure 2. Figure 2 is rotated 90⁰ anticlockwise about the origin (0 , 0) onto Figure 3.

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I can analyse symmetrical: hangarite, patterns by the transformations: panoni, used to create them

In this kowhaiwhai pattern, the

original motif has been

translated and then the whole

design has been reflected

horizontally.

Transformation geometry: āhuahanga panoni

translation: nekehanga

reflection: whakaatanga

rotation: hurihanga

enlargement: whakarahinga