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Differentiation and Optimisation
L.O. All pupils are confident with their holiday homework exercises All pupils can recall their skills in differentiation All pupils understand what optimisation is and how it is useful
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holiday homework exercises
Starter: holiday homework exercises Any problems?
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Differentiation and Optimisation
L.O. All pupils are confident with their holiday homework exercises All pupils can recall their skills in differentiation All pupils understand what optimisation is and how it is useful
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skills in differentiation
Main 1: skills in differentiation Spider diagram what you know about differentiation
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Differentiation and Optimisation
L.O. All pupils are confident with their holiday homework exercises All pupils can recall their skills in differentiation All pupils understand what optimisation is and how it is useful
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what optimisation is and how it is useful
Main 2: what optimisation is and how it is useful What are some examples of optimisation?
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Watch the video below in your own time.
Main 2: what optimisation is and how it is useful Watch the video below in your own time. Write down the steps to solve the problem.
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Main 2: what optimisation is and how it is useful Step 1: Draw a diagram and put on letters for unknown quantities Step 2: Work out what it is your maximising or minimising, and write down a formula for it Step 3: If this equation contains more than one variable, write down another formula with the additional information you are given, and use this to put the first formula in terms of just one variable Step 4: Differentiate this and set it equal to zero. Solve the equation. Step 5: Substitute back into formula to get maximum or minimum value
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what optimisation is and how it is useful
Main 2: what optimisation is and how it is useful Question 1 An open box is to be made from a rectangular sheet of card measuring 16cm by 10cm, by cutting four equal squares from the corners and folding up the flaps. Find the length of the sides of the square that makes the volume as large as possible, and find this largest volume. Question 2 A sports area is to be designed in the form of a rectangular field with a semicircular area at each end. The perimeter of the sports area is to be 1400m. What should be the dimensions for the sports area if the rectangular field is to have as large an area as possible?
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Differentiation and Optimisation
L.O. All pupils are confident with their holiday homework exercises All pupils can recall their skills in differentiation All pupils understand what optimisation is and how it is useful
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Plenary:
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Differentiation and Optimisation
L.O. All pupils are confident with their holiday homework exercises All pupils can recall their skills in differentiation All pupils understand what optimisation is and how it is useful
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