• Mathematics Standard
• Year 11

# Applications of Measurement

approx. 12 hrs

10 topics

43 concepts

Master the Applications of Measurement to improve your marks.

Available in
NSW

### Overview

Students who study Applications of Measurement learn about accuracy in measurement, convert between metric units of area as well as converting between units of volume and capacity. They explore ways to determine scale factors for concruence and similarities and solve problems involving units of energy and mass.

### Topics & Concepts We Cover

This learning program is made up of the following 10 topics, broken down into 43 concepts.

• #### Metric Unit Conversion 3 concepts

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

2. Convert between metric units of volume and capacity

3. Convert between metric units of area

• #### Accuracy in Measurement 4 concepts

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

2. Use formulae to calculate the percentage error

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

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

• #### Perimeter of 2D Shapes 3 concepts

1. Use formulae to find the arc length of a sector

2. Find the perimeter of sectors including quadrants and semicircles

3. Find the perimeters of a range of plane shapes, including composite figures

• #### Area of 2D Shapes 3 concepts

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

2. Find the areas of quadrants, semicircles and sectors

3. Calculate the area of an annulus

• #### Perimeter and Area of Irregular Shapes 3 concepts

1. Use the Trapezoidal rule to solve a variety of practical problems

2. Calculate the perimeter of a plane table survey

3. Calculate the area of a plane table survey

• #### Surface Area of Right Prisms 8 concepts

1. Surface area of composite objects

2. Solve problems involving rectangular or triangular prisms

3. Find the surface area of a hollow cylinder

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

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

• #### Surface Area of Right Cones, Pyramids and Spheres 5 concepts

1. Calculate the 'perpendicular heights' and 'slant heights' of right pyramids and right cones

2. Calculate the surface area of composite solids including right cones, hemispheres and right pyramids

3. Surface areas of right cones

4. Calculate the surface area of right pyramids

5. Surface areas of spheres

• #### Volume of 3D Shapes 7 concepts

1. Calculate the volume of composite solids including right cones, hemispheres and right pyramids

2. Calculate the volume of a sphere

3. Calculate the volume of of right pyramids

4. Calculate the volume of a cone

5. Calculate the volume of an annular cylinder

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

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

• #### Scale Factor and Similar Figures 3 concepts

1. Determine the scale factor of two similar figures

2. Use a scale factor to find unknown sides

3. Solve problems using ratio and scale factors in similar figures

• #### Units of Energy and Mass 4 concepts

1. Convert between metric units of energy, including calories, kilocalories, joules and kilojoules

2. Use metric units of energy to solve problems related to food and nutrition

3. Use metric units of energy to solve problems involving the amount of energy expended in activities

4. Use units of energy to solve problems involving the consumption of electricity

### 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 Applications of Measurement

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

We'll be in contact to match you with one of our top tutors and book your first session

Starting at

\$49(inc. GST)

per session

Fully flexible

PAYG and bundle plans

Use anytime