Lesson summary
In this lesson, students will solve problems involving volume, capacity and rates by investigating how the Kidston Pumped Hydro Energy Storage Project operates.
Learning intentions:
Students will...
- analyse pumped hydropower as a source of renewable energy by solving problems involving the volume and capacity of right prisms, as well as the circumference and area of circles and cylinders, based on real project data
- calculate and compare rates of water flow.
Success criteria:
Students can...
- estimate the area of an irregular shape using a grid
- calculate the volume of right prisms, including cylinders
- calculate and compare rates of water flow.
Lesson guides and printables
Lesson details
Skills
This lesson is designed to build students’ competencies in the following skills:
- creative thinking
- critical thinking
- collaboration
- problem-solving
Curriculum Mapping
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 Sustainable Development Goals
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.
Resources Required
- Device capable of displaying audiovisual material
- Kidston Pumped Hydro Map with grid
- Student Worksheet
- Student devices for individual research
Additional Info
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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