Measurement and Surds
Surds, length, area, surface area and volume.
Active lessons
15
Status
Active
Lesson flow
Learn -> Guided Practice -> Independent Practice -> Mastery Quiz
How to use this unit
- Start from lesson 1 and move through the pathway in order.
- Use guided practice before attempting independent practice.
- Mastery quizzes check whether the skill is ready for review or extension.
Unit pathway
Lesson pathway
15 of 15 active
Lesson 1
4A Irrational Numbers and Surds
Identify surds as irrational roots and simplify them using the largest square factor.
Lesson 2
4B Adding and Subtracting Surds
Add and subtract like surds, simplifying first so like terms can be combined.
Lesson 3
4C Multiplying and Dividing Surds
Multiply and divide surds using root(a) x root(b) = root(ab).
Lesson 4
4D Rationalising the Denominator
Rationalise a denominator containing a single surd.
Lesson 5
4E Review of Length
Find perimeters and circle circumferences, and convert between length units.
Lesson 6
4F Pythagoras Including 3D
Apply Pythagoras in right triangles and to the space diagonal of a box.
Lesson 7
4G Area of Triangles, Quadrilaterals, Circles and Sectors
Find areas of rectangles, triangles, circles and sectors.
Lesson 8
4H Accuracy of Measuring Instruments
Determine the absolute error and limits of accuracy of a measurement.
Lesson 9
Surface Area of Prisms
Calculate the surface area of rectangular and triangular prisms by finding the area of every face and adding them together.
Lesson 10
Surface Area of Cylinders
Apply SA = 2πr² + 2πrh to find the surface area of closed and open cylinders.
Lesson 11
Volume of Prisms and Cylinders
Calculate the volume of rectangular prisms, triangular prisms, and cylinders, and rearrange the formula to find an unknown dimension.
Lesson 12
Surface Area and Volume of Pyramids
Calculate the volume of square and rectangular pyramids using V = (1/3) × base area × height, and the surface area of square pyramids using the slant height.
Lesson 13
Surface Area and Volume of Cones
Apply V = (1/3)πr²h for cone volume, CSA = πrl for curved surface area, and TSA = πr² + πrl for total surface area, using Pythagoras to find the slant height when needed.
Lesson 14
Surface Area and Volume of Spheres
Apply SA = 4πr² and V = (4/3)πr³ to find the surface area and volume of spheres, and rearrange to find the radius.
Lesson 15
Similar Figures and Scale Factors
Apply length, area, and volume scale factors to similar figures: area scales by k², volume scales by k³.
Part of the Online Learning Package
Unit previews stay public, while individual lessons require active online learning access.