# Shape Units of Work

Thanks for visiting NZMaths.
We are preparing to close this site by the end of August 2024. Maths content is still being migrated onto Tāhūrangi, and we will be progressively making enhancements to Tāhūrangi to improve the findability and presentation of content.

### 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 construct plan views of solid objects create nets that fold to form solid objects classify 3-dimensional shapes by their properties identify 3-dimensional shapes in the environment 2D to 3D: Working with shapes and representations 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