• Mathematics
  • Year 5

Geometry

approx. 13 hrs

4 topics

42 concepts

In the Year 5 Geometry program, students develop skills in visualisation with a study of dimensions and angles.

Available in
NSW NT QLD SA TAS VIC WA

Overview

The concepts in Year 5 Geometry are aligned with the course content in the Measurement and Geometry strand of the Australian curriculum. Students studying Geometry in Year 5 classify 2D shapes and 3D objects according to their bases, vertices, angles and faces. They name triangles by their sides and angles and use appropriate naming conventions for angles, such as acute, obtuse, straight and right angles.

Topics & Concepts We Cover

This learning program is made up of the following 4 topics, broken down into 42 concepts.

  • Map Locations 5 concepts

    1. Find location on maps, including maps with legends, given their grid references

    2. Find a location on a map that is in a given direction from a town or landmark

    3. Follow a sequence of two or more directions, including compass directions, to find and identify a particular location on a map

    4. Use grid references on maps to describe position, identifying and marking locations

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

  • 2D Shapes 13 concepts

    1. Identify and name equilateral, isosceles and scalene triangles

    2. Rotate a graphic or object through a specified angle about a particular point, including by using the rotate function in a computer drawing program

    3. Identify shapes that have rotational symmetry and determine the order of rotational symmetry

    4. Make enlargements of two-dimensional shapes, pictures and maps, with and without the use of digital technologies

    5. Identify and name right-angled, obtuse and acute angled triangles

    6. Compare and measure an interval on an original representation and its enlargement to determine how many times larger than the original the enlargement is

    7. Understand that a triangle can be named by its sides or angles

    8. Determine angle properties of squares, rectangles, parallelograms and rhombuses

    9. Select and classify a two-dimensional shape from a description of its features

    10. Identify and draw regular and irregular two-dimensional shapes from descriptions of their side and angle properties

    11. Translate, reflect and rotate a two-dimensional shape, recognising that the properties of the shape does not change

    12. Identify and describe two-dimensional shapes as either regular or irregular

    13. Identify and draw lines of symmetry on given regular and irregular shapes

  • Formal Measurement of Angles 9 concepts

    1. Identify the arms and vertex of an angle where both arms are invisible

    2. Compare the sizes of two or more angles in degrees

    3. Estimate angles in degrees and check by measuring

    4. Recognise the need for a formal unit for the measure of angles

    5. Introduce protractors to measure angles

    6. Extend the arms of an angle where necessary to facilitate measurement of the angle using a protractor

    7. Construct angles of up to 360 degrees using a protractor

    8. Classify angles as acute, right, obtuse, straight, reflex or a revolution

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

  • Prisms and Pyramids 15 concepts

    1. Identify and determine the number of pairs of parallel faces of three-dimensional objects

    2. Identify, describe and compare the properties of prisms and pyramids

    3. Determine that the faces of prisms are always rectangles except the base faces, which may not be rectangles

    4. Determine that the faces of pyramids are always triangles except the base face, which may not be a triangle

    5. Use the term apex to describe the highest point above the base of a pyramid or cone

    6. Connect three-dimensional objects with their nets and other two-dimensional representations

    7. Identify the base of prisms and pyramids

    8. Visualise and sketch nets for given three-dimensional objects

    9. Visualise and name prisms and pyramids, given diagrams of their nets

    10. Visualise and draw the resulting cut face (plane section) when a three-dimensional object receives a straight cut

    11. Recognise that prisms have a uniform cross-section when the section is parallel to the base

    12. Recognise a cube as a special type of prism

    13. Recognise that pyramids do not have a uniform cross-section when the section is parallel to the base

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

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

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

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Starting at

$49(inc. GST)

per session

Fully flexible

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Access to practice questions

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