Print off the data sheet and work sheet

Print off the data sheet and work sheet provided with this Power point. Work through them and then create your poster from what you have realised from doing this work. Submit your work via email to Miss Lal lalr@laurencejackson. org

Comparing chocolate § Which would you buy? Why? § Would you buy lots of small Easter Eggs, or one big one? § What should you consider when making your choice?

Comparing value § Which is best value? § What do you need to decide? Easter egg Cost Content Mini eggs bar £ 1 Chocolate bar with crushed mini eggs pieces Mini eggs tube £ 1 Mini eggs bag £ 1 Mini eggs easter egg £ 1 Chocolate egg, mini eggs Mini eggs easter egg £ 3 Chocolate egg, mini eggs and mug Mini eggs easter egg £ 6 Chocolate egg, mini eggs

Comparing value Easter egg Cost Content Mini eggs bar £ 1 110 g bar Mini eggs tube £ 1 96 g mini eggs Mini eggs bag £ 1 80 g mini eggs Mini eggs easter egg £ 1 100 g chocolate egg, 30 g mini eggs Mini eggs easter egg £ 3 Mug, 100 g chocolate egg, 30 g mini eggs Mini eggs easter egg £ 6 151 g Chocolate egg and 80 g mini eggs § Now which do you think is best value? § Which is worst value? § How would you compare all of the products?

Environmental cost § Why are the big eggs so expensive? § Would it be more environmentally friendly to buy • Lots of small eggs • Bars of chocolate • Solid eggs • Fewer big eggs? § What would you need to decide?

Packaging § Which packaging do you think has the highest environmental cost? § Which has the lowest? § What do you need to know to work it out?

Carbon footprint § The carbon footprint of packaging is incredibly complex to calculate as it depends on many factors. § The data here is a good estimate. § What else might you want to think about when considering the environmental impact of packaging? CO 2 kg/kg Aluminium Foil Hard plastic Plastic wrap Cardboard 24. 45 6. 43 7. 08 3. 31

Surface area § Calculate the surface area of the packaging* 4 cm 10 cm 26 cm 17 cm 12 cm 17 cm You can model this shape as a semi-circular cylinder 15 cm The ends of the cylinder are made from hard plastic 21. 5 cm 7 cm 18. 5 cm 13 cm 15 cm 7. 5 cm § What assumptions do you have to make? § What about the egg? * (assume all measurements are perpendicular):

Surface area of eggs § The eggs are wrapped in rectangular foil M&m egg Large Mini Egg Milkybar egg Solid caramel egg 12 cm 8 cm 25 cm 31 cm 32 cm 16 cm 21 cm 22 cm

Packaging calculations Product & Contents Mini eggs tube Mini eggs bag Milkybar egg M&ms (Egg & 2 bags) Large Mini eggs (Egg & 1 bag) Caramel egg Cardboard area Plastic wrap Hard plastic area Foil area

Carbon footprint § Compare the carbon footprints to the mass of the Easter products* Product Estimated Kg CO 2/m 2 Aluminium Foil 106. 6 Cardboard 0. 949 Plastic wrap 0. 311 Hard plastic 803. 6 *We have assumed that the thickness of the relevant material is the same for each product.

Comparing data § Draw a scatter graph that compares the mass of the chocolate vs the carbon footprint of the packaging. § What surprises you? Do you have enough data? § Draw a scatter graph that compares price vs mass of the chocolate. § How useful is this graph?

Choices to consider… Which Easter Eggs will you buy this year? Would you look at packaging options? Value? What about egg alternatives? You could explore the packaging on chocolate bars vs eggs.

About the AMSP § § § A government-funded initiative, managed by MEI, providing national support for teachers and students in all state-funded schools and colleges in England. It aims to increase participation in AS/A level Mathematics and Further Mathematics, and Core Maths, and improve the teaching of these qualifications. Additional support is given to those in priority areas to boost social mobility so that, whatever their gender, background or location, students can choose their best maths pathway post-16, and have access to high quality maths teaching.