Rates and Ratios
Ratios, rates, unit conversions, energy consumption, scale drawings, rainfall calculations, bearings, time zones, and practical measurement problems.
Active lessons
8
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
8 of 8 active
Lesson 1
Ratios and Rates Revision
Consolidate Year 11 ratio and rate skills: simplify ratios, divide quantities in a given ratio, convert between common units, and calculate basic rates — preparation for speed, fuel consumption, map scales and flow-rate problems.
Lesson 2
Ratios, Rates and Unit Conversions
Use ratios, sharing, rates, speed, fuel use, flow rates, map scales, and practical unit conversions.
Lesson 3
Energy Consumption: Watts and Kilowatts
Convert between watts and kilowatts, calculate kilowatt-hours used by appliances, and find the cost of electricity from a tariff rate.
Lesson 4
Scale Drawings and Site Plans
Interpret architectural scale drawings, calculate actual dimensions from scaled measurements, and find perimeter and area from site plans.
Lesson 5
Rainfall and Volume Calculations
Apply V = Ah to calculate the volume of water collected from rainfall over a catchment area, converting between mm, cm, m and litres.
Lesson 6
Bearings and Navigation Problems
Read and write true bearings, calculate back bearings, find interior angles from bearing information, and apply the cosine rule to solve practical navigation problems.
Lesson 7
Time Zones and Conversions
Convert times between Australian and international time zones using UTC offsets, handle midnight crossings and day changes, and understand the International Date Line.
Lesson 8
Practical Rates and Ratios Exam Practice
Practise mixed HSC-style measurement questions involving non-right-angled trigonometry, ratios, rates, scale, speed, and unit conversion.
Part of the Online Learning Package
Unit previews stay public, while individual lessons require active online learning access.