## Activity Introduction

**Quick summary: **Students will investigate the amount of waste being produced by Australians each year, as well as recycling rates and greenhouse gas emissions, by analysing graphs and statistics. They will then learn about Waste to Energy (WtE) technologies employed at Visy’s Kraft Mill in Tumut and compare energy output and efficiency with coal power plants. Students will also investigate calorific value and how WtE facilities can reduce large quantities of waste from landfill and prevent the associated carbon emissions. Students will use a variety of mathematical skills to complete this investigation including percentage, rate, formulas (efficiency), data analysis and problem solving.

This lesson has been developed in partnership with Visy. For over 60 years Visy has been striving for sustainability, reducing the amount of waste going to landfill by collecting recyclable materials and recycling them into new paper and packaging products. Click here to find out more about Visy and their innovative work in recovering and transforming recyclable materials into new products to preserve our earth’s precious resources.

**Learning intentions:**

- Students will understand that waste production can be a problem.
- Students will understand how clean and sustainable technologies, including waste-to-energy facilities, can reduce environmental impacts.
- Students will be able to use a variety of mathematical skills to solve problems.
- Students will be able to identify trends in data.

**21st century skills:**

### Australian Curriculum Mapping

**Content descriptions:**

**Year 7 Maths**

- Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies (ACMNA158).
- Investigate, interpret and analyse graphs from authentic data (ACMNA180).

**Year 8 Maths**

- Solve problems involving the use of percentages, including percentage increases and decreases, with and without digital technologies (ACMNA187).
- Solve a range of problems involving rates and ratios, with and without digital technologies (ACMNA188).

**Year 9 Maths**

- Solve problems involving direct proportion. Explore the relationship between graphs and equations corresponding to simple rate problems (ACMNA208).
- Additional – Express numbers in scientific notation (ACMNA210).

**General capabilities: **Numeracy, Critical and creative thinking, Ethical understanding.

**Cross-curriculum priority: **Sustainability OI.8.

**Relevant parts of Year 7 Mathematics achievement standards: **Students solve problems involving percentages and all four operations with fractions and decimals. They interpret simple linear representations and model authentic information.

**Relevant parts of Year 8 Mathematics achievement standards: **Students solve everyday problems involving rates, ratios and percentages.

**Relevant parts of Year 9 Mathematics achievement standards: **Students interpret ratio and scale factors in similar figures. They apply the index laws to numbers and express numbers in scientific notation.

**Topic: **Waste, Sustainability.

**Unit of work: **Bright Sparks – Secondary Mathematics.

**Time required:** 75 mins.

**Level of teacher scaffolding: **Medium – the teacher will need to provide context and scaffolding where necessary and lead the investigation.

**Resources required: **

- Student Worksheets (one per student).
- Device capable of projecting images to the class.
- Energy From Waste Graph 1.
- Energy From Waste Graph 2.
- Energy From Waste Graph 3.
- Energy Flowchart.

**Keywords: **Percentage, rate, efficiency, waste-to-energy, landfill, graphs, statistics.

*The information and statistics included in this document are approximate and have been simplified for educational/illustrative purposes. They should not be relied upon for any other purpose.*

*Cool Australia’s curriculum team continually reviews and refines our resources to be in line with changes to the Australian Curriculum.*