• Mathematics
  • Year 10

Area, Surface Area and Volume

approx. 10 hrs

5 topics

27 concepts

Enhance your skills in Area, Surface Area and Volume for academic success in Mathematics.

Available in
ACT NSW NT QLD SA TAS VIC WA

Overview

This program builds on prior knowledge of area of plane shapes from Year 9 and aligns with the Australian curriculum. Students enhance their skills in selecting and using formulae of varied shapes and solids, including pyramids, cones and spheres and perform calculations to find the area, surface area and volume. In addition, they gain greater competency in understanding the limitations of measurement and confidently work with different units of measurement.

Topics & Concepts We Cover

This learning program is made up of the following 5 topics, broken down into 27 concepts.

  • Volume of Right Prisms 5 concepts

    1. Calculate the volumes of cylinders

    2. Solve a variety of practical problems related to the volumes and capacities of prisms, cylinders and related composite solids

    3. Find the volumes of composite solids involving prisms and cylinders

    4. Develop and use the formula for the volume of right prisms and find the capacity

    5. Develop and use the formula for the volume of cylinders and find the capacity

  • Area of 2D Shapes 3 concepts

    1. Review area of triangles, quadrilaterals, circles and sectors

    2. Calculate the areas of composite figures by dissection into triangles, special quadrilaterals, quadrants, semicircles and sectors

    3. Calculate the area of an annulus

  • Surface Area of Right Prisms 8 concepts

    1. Solve problems involving rectangular or triangular prisms

    2. Apply Pythagoras' theorem to find surface areas of triangular prisms

    3. Find the surface area of a hollow cylinder

    4. Surface area of composite objects

    5. Use the nets of prisms to find surface area

    6. Find the surface areas of triangular prisms

    7. Find the surface area of a cylinder

    8. Find the surface area of rectangular prisms

  • Converting Units Measurement 7 concepts

    1. Converting units of length

    2. Rounding of whole numbers and decimals to significant figures

    3. Investigate the meaning of prefixes such as 'nano', 'micro', 'mega', 'giga' and 'tera'

    4. Convert between metric units of volume

    5. Convert between metric units of area

    6. Convert between metric units of volume and capacity

    7. Convert units of measurement using standard form of metric prefixes, index laws and scientific notation

  • Accuracy of Measurement 4 concepts

    1. Determine the limit of reading of a measurement or measuring tool

    2. Determine the absolute error based on the limit of reading

    3. Find the lower and upper limit of the true measurement based on the absolute error

    4. Use formulae to calculate the percentage error

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 Area, Surface Area and Volume

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?

Simply pick a time that works for you

Add your payment details securely online

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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