Substitution on the farm. Mr Johnson Farm song http://www.youtube.com/watch?v=fJyfh-9b8ZA http://www.youtube.com/watch?v=w6ySjiDl6-4 CODEWORDS. If this is the code… A=1, B=2, C=3, etc. What does this say? 9 12,15,22,5 8,1,19,8,18 Can you make up your own code and write a sentence for person next to you to solve? Ploughing and Sowing. Farmer Fred wants to plough his field? So what information do we need? So we need to know… • The size of the field. • The size of the plough. • The speed of the tractor with the plough. • Labour cost. • Fuel cost. 2 4 3 1 2 4 1 3 Tractor Price (a) kpl (c ) kph with plough (d) kph with seed drill (e) 1 £12,000 12 8 6 2 £25,000 9 5 5 3 £100,000 15 11 5 4 £1,500 8 8 5 Plough Price (f) Width (h) 1 £15,000 10m 2 £3,000 5m 3 £2,500 3m 4 £8,000 6m Labour cost (i) = £15 per hour Size of field ( x by y) = 150m by 300m Red diesel per litre (j) = £0.85 What now? • Choose a tractor and plough. • Calculate the cost of ploughing the field using your chosen tractor. • Present your findings clearly of the A3 sheet. • Prepare a presentation so that you can share you results with the class. Extension. Can you find the best combination of tractor and plough? So what have we learnt? Letters can be used to represent variables. On your Mini Whiteboards… 1.If x = 2 what is x + 2? 2.If y = 3 what is y – 2? 3.If p = 38 and q = 17 what is p + q? 4.If r = 12 and z = 27 what is r – z? 5.If s = 15, t = 2 and x = 5 what is s + t – x ? NC level 5A On your Mini Whiteboards… IF X=1, Y=2, Z=7, R=12, S=25 1. 2X = 2. 3R = 3. 2R + 5Z = 4. 3Z + 2Y – 2X = On you Mini Whiteboards… If X=3, Y=6, Z=12, R=25, S=5 solve these... Now try these in your books…