substitution on the farm. mr johnson. farm song
TRANSCRIPT
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Substitution on the farm.
Mr Johnson
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Farm song
http://www.youtube.com/watch?v=w6ySjiDl6-4
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Warm Up…
x= 1, y = 2.5, z = 0.5, r = 12 and s = 13.2
You can add, subtract, times and divide.
Write a formula that makes the largest number you can.
Can write a formula that equals or is close to 100?
Level 4 – use symbols to represent unknowns.
You can only use each number once.
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Learning Objectives.
Level 4 - use symbols to represent unknowns.
Level 5 – in context use formulae that are expressed in symbols.
Level 7 – generate formulae in context.
Keywords – formula, variable, expression, equation
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Ploughing and Sowing.
Farmer Fred wants to plough and sow his field?
How much is it going to cost
him?
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So we need to know…• Distance covered by the plough.• Time taken to 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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Tractor Price (a) Age (b) kpl (c ) kph with plough (d) kph with seed drill (e)
1 £12,000 15 years 12 8 6
2 £25,000 12 years 9 5 5
3 £100,000 0 years 15 11 5
4 £1,500 19 years 8 8 5
Plough Price (f) Age (g) Width (h) Labour cost (i) = £15 per hour
1 £15,000 0 years 10m
2 £3,000 8 years 5m Size of field ( x by y) = 150m by 350m
3 £2,500 10 years 3m
4 £8,000 5 years 6m Red diesel per litre (j) = £0.85
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What have I got to do?
Step 1: Use the formulae to find the cost of ploughing the field.
Step 2: Write in words what these formulae actually mean.
Step 3: Ask for the extension data sheet and use it to find the cost of sowing the field.
Step 4: Write your own formulae for finding the cost of sowing the seed.
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EXTENSION.
Is there anything else you could consider in calculating the cost
of ploughing and sowing the field?
Can you make our calculations more accurate?
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Plenary.
Come and write a formula that you
made this lesson on the board.
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Learning Outcomes.
Level 4 - use symbols to represent unknowns and variables.
Level 5 – in context use formulae that are expressed in symbols.
Level 7 – generate formulae in context.