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)
- Naming two and three-dimensional shapes and identify their features.
- Recognising plane shapes in 3D objects.
- Sorting shapes and describing similarities and differences.
identify the features of quadrilaterals
- Describe circles and ellipses.
- Draw a diagram showing the top, side, front, and back of a solid figure.
- Make the net for a solid figure.
- Use co-ordinates on a map to identify the position of houses.
- Construct triangles and quadrilaterals by measuring appropriate lengths, and identify the properties of the shapes.
- Find all300
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.
Session One
- Recognise a trapezium, right angled triangle, and points in a straight line, in different orientations.
- Construct a model of all the possible outcomes for rolling a standard dice and use the model to predict the results of an experiment.
Session Two
- Find the next shape in a300
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.