# GM3-3: Classify plane shapes and prisms by their spatial features.

This means students will be able to define the characteristics of things and use these characteristics as a basis for sorting. Plane figures are those that lie flat, so have only two dimensions. So circles, triangles, and hexagons are all plane shapes. At Level Three students should be able to classify plane shapes by the following characteristics: number of sides and angles (for example all triangles have three sides), parallel or non-parallel sides (for example a trapezium has one pair of parallel sides), equal or unequal side length, angle size (less than, equal to, greater than a right angle), lines of mirror symmetry and order of rotational symmetry (for example a square maps onto itself four times in a full turn). Prisms are solid shapes that have a fixed cross-section. A loaf of bread can be seen as a rectangular prism since the slices are the same rectangle. So prisms are classified by their cross-section, for example a triangular prism has triangular cross-sections. In this way a cylinder can be seen as a type of prism though its cross-section is a circle.

explore patterns in mutliples of 7, 8, 9 multiplication facts (Problem 2)

identify parallelograms and trapeziums in geometric shapes (Problem 3)

explore the idea of equality in diagrams of scale balances (Problem 4)

identify diagonals in two dimensional shapes

use addition and multiplication to solve problems (Problems 1 and 4)

explore different two dimensional shapes (Problem 2)

explore reflections with paper folding (Problem 3)

identify three dimensional shapes.

use addition and a systematic approach to solve problems (Problems 1 and 2)

explore features of two dimensional shapes (Problem 3)

explore symmetry (Problem 4)

use additive and multiplicative strategies to sovle problems using measurement as a context (Problems 1 and 4)

interpret three dimensional drawings (Problem 2)

use multiplication facts to solve problems (Problem 3)

identify the features of quadrilaterals

- Describe circles and ellipses.

find number of painted faces on 3 dimensional shapes (Problem 2)

use addition and multiplication to solve problems (Problems 3 and 4)

investigate internal angles of polygons

identify the number of faces, vertices, edges on three dimensional shapes

construct a polyhedron

- Describe the features of three-dimensional shapes.

describe two dimensional and three dimensional shapes using geometric language

use reflection to solve puzzles (Problem 2)

explore shape puzzles (Problems 3 and 4)

- Drawing nets for three-dimensional objects.

find outcomes using a tree diagram (Problem 1)

find rhombuses and trapezia in shapes (Problem 2)

continue a sequential pattern (Problem 3)

explore right angles on a clock face (Problem 4)

- List the features of common three-dimensional shapes.
- Recognise that the faces of 3D shapes are 2D plane shapes.
- Explore and understand the defining features of a prism.
- Draw (freehand) common 3D shapes from different viewpoints.
- Represent different viewpoints of the constructions with300

- Construct models of polyhedra using structured or everyday materials.
- Use the terms faces, edges and vertices to describe models of polyhedra.

explore number of corners and faces in 3 dimensional shapes

- Construct models of polyhedra using everyday materials.
- Use the terms faces, edges and vertices to describe models of polyhedra.

- Apply the features of two dimensional shapes to solve puzzles.

- Predict the shape formed when three-dimensional objects are 'sliced'.

- Describe two dimensional shapes.
- Describe a pathway.