- Mathematics
- Year 8
Geometry
approx. 11 hrs
3 topics
22 concepts
Master Geometry and get the right foundations for Year 9.
approx. 11 hrs
3 topics
22 concepts
Master Geometry and get the right foundations for Year 9.
Year 8 Geometry is a core component of the Year 8 Measurement and Geometry strand. In this learning program students sort and classify triangles according to their sides or angles, identify convex and nonconvex shapes including quadrilaterals, and find unknown side lengths and angles. In addition, we work with students to recognise axes of symmetry, identify rotational symmetry and apply knowledge of sides and angles to prove shapes are congruent or similar.
This learning program is made up of the following 3 topics, broken down into 22 concepts.
Investigate axes of symmetry and the order of rotational symmetry of polygons, including circles and pictures
Draw a reflected image given a mirror line
Draw images using translation
Draw a rotated image given an angle and direction
Plot and determine the coordinates resulting from translation
Plot and determine the coordinates resulting from reflecting in either the x or y axis
Plot and determine the coordinates resulting from rotating around the origin by a given number of degrees
Identify congruent figures using transformations
Name the matching sides and angles of congruent figures
Investigate the minimum conditions needed for two triangles to be congruent
Apply properties of congruent triangles to find an unknown angle or side, giving reasons
Choosing a test for congruence (SSS test, SAS test, AAS test, RHS test)
Write formal proofs of congruence of triangles, preserving matching order of vertices
Investigate the properties of special quadrilaterals (parallelograms, rectangles, rhombuses, squares, trapeziums and kites)
Use the angle sum of a triangle to establish that the angle sum of a quadrilateral is 360 degrees
Distinguish between convex and non-convex quadrilaterals
Classify triangles according to side and angle properties
Use the angle sum of a quadrilateral property to find angles in a given diagram
Classify special quadrilaterals on the basis of their properties
Investigate and apply the exterior angle of a triangle property to find angles in a given diagram
Investigate and use the angle sum of a triangle property to find angles in a given diagram
Find unknown sides and angles in a given diagram by using the properties of special triangles and quadrilaterals
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