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Algebra: Formula Substitution using the Wind Turbine Energy Equation


As a high school Mathematics teacher, you can use this set of computer-based tools to help you in teaching Formula Substitution in algebra after introducing formulas, numbers, variables, and constants.

Global warming due to fossil fuel emissions, is believed to be one of the causes for climate change. Therefore, there is an increased interest in the use of renewable and cleaner sources of energy. This lesson plan will help improve students’ literacy in clean energy sources while enabling them to practice Formula Substitution. It includes resources to teach your students about the components of formulas, and substitution in a formula using the energy equation for wind turbines, to enable them to understand the energy available from wind.

Thus, the use of this lesson plan allows you to integrate the teaching of a climate science topic with a core topic in Mathematics.


Curriculum Code (Australia)

ACMEM035: substitute numerical values into algebraic expressions

ACMEM036: substitute given values for the other pronumerals in a mathematical formula to find the value of the subject of the formula

Cross Curriculum Priority (Australia)Sustainability
Presumed Knowledge (Australia)

Arithmetic with real numbers and the use of index notation (ACMNA150, ACMNA153, ACMNA183, and ACMNA154).

Substitute values into formulae to determine an unknown (ACMNA234).

Use units of energy to consumption of electricity (ACMEM031)

Convert from one unit of energy to another (ACMEM034)

Learning Outcome

The tools in this lesson plan will enable students to:

  1. Substitute given values for the other pronumerals in a mathematical formula to find the value of the subject of the formula.
  2. Substitute numerical values into an algebraic expression to evaluate the expression.
  3. Explain the advantages and challenges of producing electricity from a wind turbine.
  4. Compute the energy available from wind as a renewable and clean energy source.
  5. Discuss the importance of renewable sources of energy to reduce carbon emissions induced global warming.

This is a lesson plan developed by the ARC Centre of Excellence for Climate Extremes (CLEX) and the Monash Climate Change Communication Research Hub (MCCCRH) with contributions by Dr Sanaa Hobeichi and Dr Ian Macadam (CLEX); Tahnee Burgess and Dr David Holmes (MCCCRH); and Dr. Roger Dargaville (Monash University).The lesson plan originated at the “Climate across the Curriculum: Educational Resources for Teachers” workshop at the Australian Meteorological and Oceanographic Society (AMOS) conference held in February 2020 in Fremantle, Western Australia. The workshop was supported by AMOS, CLEX, MCCCRH, the Schools Weather and Air Quality (SWAQ) Citizen Science project, TROP ICSU and the University of Western Australia.

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Mapped Sustainable Development Goal(s), apart from 4 and 13


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