• Mathematics
  • Year 6

Geometry

approx. 8 hrs

3 topics

29 concepts

The Year 6 Geometry program gives students key skills in visualisation and builds the foundations for high school Mathematics.

Available in
NSW NT QLD SA TAS VIC WA

Overview

The concepts in the Year 6 Geometry program are aligned with the course content in the Measurement and Geometry strand of the Australian curriculum. Students studying Geometry in Year 6 classify and draw 2D shapes and 3D objects, name the features of circles, such as diameter, radius, sector and segment, and identify convex and non-convex 2D shapes including irregular shapes.

Topics & Concepts We Cover

This learning program is made up of the following 3 topics, broken down into 29 concepts.

  • Mapping 3 concepts

    1. Use a given map to plan and show a route from one location to another

    2. Describe a route taken on a map using landmarks and directional language, including compass directions

    3. Use NE, SE, SW and NW to indicate north-east, south-east, south-west and north-west, respectively, on a compass rose

  • Viewing 2D and 3D Figures 14 concepts

    1. Describe the effect when a two-dimensional shape is translated, reflected or rotated

    2. Identify and name diagonals of convex two-dimensional shapes

    3. Predict the next translation, reflection or rotation in a pattern

    4. Choose the correct pattern from a number of options when given information about a combination of transformations

    5. Recognise the endpoints of the diagonals of a shape as the vertices of the shape

    6. Determine and draw all the diagonals of convex two-dimensional shapes

    7. Use measurement to determine which of the special quadrilaterals have diagonals that are equal in length

    8. Determine whether any of the diagonals of a particular shape are also lines of symmetry of the shape

    9. Create a circle by finding points that are all the same distance from a fixed point

    10. Identify and name parts of a circle, including the centre, radius, diameter, circumference, sector, semicircle and quadrant

    11. Identify whether a two-dimensional shape has been translated, reflected or rotated, or has undergone a number of transformations

    12. Create simple prisms and pyramids using a variety of materials

    13. Sketch three-dimensional objects from different views, including top, front and side views

    14. Name prisms and pyramids according to the shape of their base

  • Recognising Angles 12 concepts

    1. Identify and name angle types formed by the intersection of straight lines, including right angles, angles on a straight line, angles at a point that form an angle of revolution

    2. Investigate, with or without the use of digital technologies, vertically opposite angles and establish that they are equal in size

    3. Use the equality of vertically opposite angles to find the size of unknown angles in diagrams

    4. Identify and name vertically opposite angles

    5. Recognise right angles, angles on a straight line, and angles of revolution embedded in diagrams

    6. Identify the vertex and arms of angles formed by intersecting lines

    7. Recognise vertically opposite angles in different orientations and embedded in diagrams

    8. Investigate, with or without the use of digital technologies, adjacent angles that form a right angle and establish that they add to 90 degrees

    9. Investigate, with or without the use of digital technologies, adjacent angles on a straight line and establish that they form a straight angle and add to 180 degrees

    10. Investigate, with or without the use of digital technologies, adjacent angles at a point and establish that they form an angle of revolution and add to 360 degrees

    11. Use the results established for adjacent angles that form right angles, straight angles and angles of revolution to find the size of unknown angles in diagrams

    12. Identify and describe the angle size in degrees for each of the classifications; acute, right, obtuse, straight, reflex and revolution.

What you'll get

Learning Content

  • A customised learning plan to suit your needs, adapting to your pace as you learn, progress and achieve mastery
  • All the content required to help you master the syllabus, including theory, worked examples, exam preparation and practice questions

An Expert Tutor

  • We match you to a private, expert tutor who is right for your needs and goals
  • Our tutors are talented, tested, top ATAR achievers and subject experts
  • During each session, your tutor guides you through your learning program, providing real-time, live expert tutoring in Geometry

Reporting

  • Access information at every stage showing what's been mastered, what areas need to be worked on and what's next
  • You and your parents receive a comprehensive feedback report after every session
  • Every session is recorded and available for you to watch at any time, allowing you to review what was covered

Ready to start this program?

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We'll book in your first session and match you to an expert tutor

Starting at

$49(inc. GST)

per session

Fully flexible

PAYG and bundle plans

Use anytime

Access to practice questions

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