Volume and Capacity in Renewable Hydropower

This lesson is designed to build students’ competencies in the following skills:

• creative thinking
• critical thinking
• collaboration
• problem-solving

Australian Curriculum (v9.0) content description: Year 8 Mathematics

Students learn to: 

• solve problems involving the volume and capacity of right prisms using appropriate units (AC9M8M02)
• recognise and use rates to solve problems involving the comparison of 2 related quantities of different units of measure (AC9M8M05)
• solve problems involving the circumference and area of a circle using formulas and appropriate units (AC9M8M03).

Relevant parts of Year 8 achievement standards: Students can use mathematical modelling to solve practical problems involving rates in measurement contexts. Students use appropriate metric units when solving measurement problems involving the area of composite shapes and volume of right prisms. Students use formulas to solve problems involving the area and circles.

NSW Syllabus outcomes: 

• solves problems involving ratios and rates, and analyses distance–time graphs (MA4-RAT-C-01)
• applies knowledge of volume and capacity to solve problems involving right prisms and cylinders (MA4-VOL-C-01)

General capabilities: Critical and Creative Thinking, Numeracy

Cross-curriculum priority: Sustainability 

Level of teacher scaffolding: High: the teacher will need to facilitate class discussions and complete a worked example.

UN SDG 7: Ensure access to affordable, reliable, sustainable and modern energy for all

• Target 7.1: By 2030, ensure universal access to affordable, reliable and modern energy services.
• Target 7.2: By 2030, increase substantially the share of renewable energy in the global energy mix.
• Target 7.3: By 2030, double the global rate of improvement in energy efficiency.

• Device capable of displaying audiovisual material
• Kidston Pumped Hydro Map with grid
• Student Worksheet
• Student devices for individual research

This lesson has been developed in partnership with the Queensland Government through Queensland's Clean Energy Workforce Roadmap. Cool.org would like to acknowledge and express our gratitude to the Clean Energy Council for the expertise and advice provided in creating these resources.

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