Level 1 Shape

Achievement Objectives Learning Outcomes Unit title
GM1-2
  • sort, compare and classify 2D and 3D objects such as triangle, square, oblong, circle, oval, pentagon, hexagon, diamond, box, cylinder, and sphere
  • describe shape attributes in their own language
Shape Makers
GM1-2
  • use the language ‘side’ and ‘corner’ in describing shapes
  • classify 2D shapes according to how many sides they have
  • identify 2D shapes by name
Shape Explorers
GM1-2
  • classify the shapes into categories
  • discuss differences and likenesses of the shapes
  • explore, experiment and talk about the form and function of the shapes in their own language
  • follow a sequence of directions
New Kids on the Block
GM1-2
  • name 2-dimensional shapes: triangle, square, oblong (non-square rectangle), circle, oval, pentagon, hexagon and diamond
  • describe shape attributes in their own language
Arty Shapes

Level 2 Shape

Achievement Objectives Learning Outcomes Unit title
GM2-4
  • explore and describe faces, edges, and corners of 2D and 3D objects
  • make, name and describe polygons and other plane shapes
Foil Fun
GM2-4
GM2-7
  • explain in their own language what line symmetry is
  • describe the process of making shapes with line symmetry.
  • name common two-dimensional mathematical shapes
  • describe the differences between common two-dimensional mathematical shapes in relation to number of sides
Fold and Cut

Level 3 Shape

Achievement Objectives Learning Outcomes Unit title
GM3-3
  • construct models of polyhedra using everyday materials
  • use the terms faces, edges and vertices to describe models of polyhedra

Shapes With Sticks

Polyhedra (3D shapes)

GM3-3
  • investigate properties of symmetry in shapes
  • investigate spatial features of shapes
  • use both English and Te Reo Māori to describe different polygonal shapes
Te Whānau Taparau
GM3-4
GM3-6
  • find all the lines of reflection symmetry in a given shape
  • identify the order of rotational symmetry of a given shape (how many times it "maps" onto itself in a full turn)
  • create designs which have reflection symmetry, rotational symmetry (orders 2, 3, 4, 6) and translational symmetry
Logo Licences

Level 4 Shape

Achievement Objectives Learning Outcomes Unit title
GM4-5
  • investigate the relationship between the diagonals and lengths of a rectangle
  • investigate the relationship between the angle of the diagonal and length of rectangles sides
  • use rulers, compasses and protractors accurately
Quadrilaterals
GM4-5
GM4-6
  • construct models of polyhedra using construction materials, like geoshapes or polydrons.
  • use the terms faces, edges and vertices to describe models of polyhedral and look for relationships between these features.
  • anticipate the features of the solid created when a Platonic solid is truncated.
  • anticipate if an arrangement of regular polygons around a vertex will create a bounded polyhedron.
  • create nets for regular and semi-regular polyhedra using knowledge of the faces and symmetry.
Solid understanding
GM4-6
  • use plans from different viewpoints to represent 3D objects
  • draw isometric drawings of 3D objects
  • create nets for polyhedra
  • interpret the above representations to create a model of the 3D object
Representing 3D objects in 2D drawings
GM4-6
GM4-1
  • construct triangles with specified dimensions using two different techniques
  • design and construct nets for three-dimensional objects
  • name basic three-dimensional objects, especially those made with equilateral triangles
Building with triangles 

Level 5 Shape

Achievement Objectives Learning Outcomes Unit title
GM5-5
  • make an instrument to measure turning in a range of situations
  • measure the angle
  • investigate angles of polgons
  • find counter-examples to incorrect conjectures
Angles, Parallel lines and Polygons
GM5-5
GM5-3
  • apply Pythagoras' theorem
  • use their knowledge of the sum of interior angles of a polygon
  • construct angles based on halving and combining 90° and other straightforward angles
  • apply knowledge of length and area
How High? and Other Problems
GM5-5
GM5-6
GM5-7
  • construct perpendicular bisectors of lines
  • construct bisectors of angles
  • use these skills to construct equilateral triangles and squares with a given side length, parallel lines, parallelograms and trapeziums, and regular polygons with a small number of sides
  • use construction techniques, given defined parameters, to produce nets and to illustrate loci
Ruler and Compass Constructions

Level 6 Shape

Achievement Objectives Learning Outcomes Unit title
GM6-6
NA6-7
  • devise an algebraic rule to identify tilted squares that can fit on geoboards of different sizes
  • devise an algebraic rule to identify the size of the smallest square geoboard on which tilted squares can fit
  • devise and use an algebraic rule for Pythagoras’ theorem
  • devise algebraic rules to find Pythagorean triples
Tilted squares and triangles