- Mathematics Standard
- Year 12
Rates and Ratios
approx. 10 hrs
9 topics
20 concepts
Enrol in Rates and Ratios to gain proficiency and confidence in solving related practical problems.
approx. 10 hrs
9 topics
20 concepts
Enrol in Rates and Ratios to gain proficiency and confidence in solving related practical problems.
The principal focus of this learning program is the use of rates and ratios to solve problems in practical contexts. This includes the interpretation of scale drawings, exploring the energy consumption and rating of household products and conducting comparisons of fuel consumption statistics. We will help students develop proficiency when working with fluency problems involving rates and ratios. This will enable students to confidently solve related practical problems.
This learning program is made up of the following 9 topics, broken down into 20 concepts.
Convert a rate to different units
Use the unitary method to find an average or simplified rate
Finding the average speed given distance and time
Calculate 'best buys' by comparing price per unit
Solve problems involving heart rates
Use units of energy to solve problems involving the consumption of electricity
Calculate fuel consumption costs for a car
Simplify ratios that require conversion of units
Simplify ratios involving fractions
Scale drawing - determine the scale factor
Write ratios using notation
Equivalent ratios
Simplify ratios
Divide a quantity in a given ratio
Scale drawing - convert scale distance to actual distance and vice versa
Interpret elevation views, including drawing different views
Interpret house or building plans, including dimensions and common floor plan symbols and abbreviations
Calculate the volume of rainfall over an area using scaled images including application of trapezoidal rule where appropriate
Calculate perimeter or area of a section of land using scaled images
Use the Trapezoidal rule to solve a variety of practical problems
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