Visy Education - Shiny Innovation

Australian curriculum content descriptions:

Year 7 Maths: Could focus on weight changes, recycled content or volume (milk bottle).

• Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies (ACMNA158).
• Recognise and solve problems involving simple ratios (ACMNA173).
• Calculate volumes of rectangular prisms (ACMMG160).
• Draw different views of prisms and solids formed from combinations of prisms (ACMMG161).

Year 8 Maths: Could focus on weight changes, recycled content or volume (milk bottle).

• 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).
• Choose appropriate units of measurement for area and volume and convert from one unit to another (ACMMG195).
• Develop formulas for volumes of rectangular and triangular prisms and prisms in general. Use formulas to solve problems involving volume (ACMMG198).

Year 9 Maths: Could focus on weight changes and recycled content or volume (of either bottle).

• Solve problems involving direct proportion. Explore the relationship between graphs and equations corresponding to simple rate problems (ACMNA208).
• Solve problems involving the surface area and volume of right prisms (ACMMG218).
• Calculate the surface area and volume of cylinders and solve related problems (ACMMG217).

Year 10 Maths: Focusing on volume innovations for PET bottle.

• Solve problems involving surface area and volume for a range of prisms, cylinders and composite solids (ACMMG242).

Syllabus outcomes: MA3-11MG, MA3‑1WM, MA3‑2WM, MA3‑3WM.

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 describe different views of three-dimensional objects, and use formulas for the area and perimeter of rectangles and calculate volumes of rectangular prisms.

Relevant parts of Year 8 Mathematics achievement standards: Students solve everyday problems involving rates, ratios and percentages. They solve problems relating to the volume of prisms, and they convert between units of measurement for area and volume.

Relevant parts of Year 9 Mathematics achievement standards: Students interpret ratio and scale factors in similar figures, and calculate areas of shapes and the volume and surface area of right prisms and cylinders.

Relevant parts of Year 10 Mathematics achievement standards: Students solve surface area and volume problems relating to composite solids.

Unit of work: Visy Education – Secondary Mathematics.

Time required: 70 mins.

Level of teacher scaffolding: Medium – Part C is a challenging student-led investigation, so teachers will need to provide scaffolding and support when necessary. Teachers are able to use the worked example as a guide to support students.

• Student Worksheets (one per student)
• Device capable of projecting images to the class
• 600 mL (PET) plastic bottles and 2L (HDPE) milk bottles
• Scales (to weigh bottles)
• Rulers, tape measures (to measure bottle dimensions)

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

• Creativity
• Critical thinking
• Global citizenship
• Problem solving
• Social skills

This lesson has been developed in partnership with Visy. For over 70 years Visy has been committed to finding sustainable solutions for Australia and New Zealand’s recyclables and helping to reduce local landfills. Visy collects, receives and sorts paper, cardboard, glass, plastics, steel and aluminium from households, businesses and schools with the purpose of reusing these products in the re-manufacture of new packaging products.