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Substitution on the farm. Mr Johnson
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Farm song http://www.youtube.com/watch?v=fJyfh-9b8ZA http://www.youtube.com/watch?v=w6ySjiDl6-4
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CODEWORDS. If this is the code… What does this say? A=1, B=2, C=3, etc. 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?
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Ploughing and Sowing. Farmer Fred wants to plough his field? How much is it going to cost him? What do we need to consider?
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So what information do we need?
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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.
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4 3 2 1
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4 3 2 1
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TractorPrice (a)kpl (c ) kph with plough (d)kph with seed drill (e) 1£12,0001286 2£25,000955 3£100,00015115 4£1,500885 Plough Price (f)Width (h) Labour cost (i) = £15 per hour 1£15,00010m 2£3,0005mSize of field ( x by y) = 150m by 300m 3£2,5003m 4£8,0006mRed diesel per litre (j) = £0.85
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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?
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So what have we learnt? Letters can be used to represent variables.
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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
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On your Mini Whiteboards… X=1, Y=2, Z=7, R=12, S=25 1. 2X = 2. 3R = 3. 2R + 5Z = 4. 3Z + 2Y – 2X = IF
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On you Mini Whiteboards… If X=3, Y=6, Z=12, R=25, S=5 solve these...
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Now try these in your books…
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