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Composite Functions L.O.
All pupils are confident with basic function notation All pupils understand composite functions Most pupils can solve composite functions questions written in a variety of notations
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Starter: IWB
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Composite Functions L.O.
All pupils are confident with basic function notation All pupils understand composite functions Most pupils can solve composite functions questions written in a variety of notations
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What do you think this notation means?
Main 1: composite functions What do you think this notation means? g(f(x))
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What do you think this notation means?
Main 1: composite functions What do you think this notation means? g(f(x))
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“Take g(x) and substitute f(x) in the place of x.”
Main 1: composite functions g(f(x)) “Take g(x) and substitute f(x) in the place of x.”
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“Take g(x) and substitute f(x) in the place of x.”
Main 1: composite functions g(f(x)) “Take g(x) and substitute f(x) in the place of x.” An example: f(x)=2x-1 g(x)=5x
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“Take g(x) and substitute f(x) in the place of x.”
Main 1: composite functions g(f(x)) “Take g(x) and substitute f(x) in the place of x.” An example: f(x)=2x-1 g(x)=5x f(x)=2x-1 g(f(x))=5(2x-1)
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“Take g(x) and substitute f(x) in the place of x.”
Main 1: composite functions g(f(x)) “Take g(x) and substitute f(x) in the place of x.” An example: f(x)=2x-1 g(x)=5x f(x)=2x-1 g(f(x))=5(2x-1) g(f(x))=10x-5
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Main 1: g(f(x)) More examples on the other board
composite functions g(f(x)) “Take g(x) and substitute f(x) in the place of x.” More examples on the other board
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Main 1: composite functions An example:
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Composite Functions L.O.
All pupils are confident with basic function notation All pupils understand composite functions Most pupils can solve composite functions questions written in a variety of notations
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Other Types of Notation
Main 2: variety of notations Other Types of Notation
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Other Types of Notation
Main 2: variety of notations Other Types of Notation
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Other Types of Notation
Main 2: variety of notations Other Types of Notation
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Questions to try on the other board. Ext. Functions with indices
Main 2: variety of notations Questions to try on the other board. Ext. Functions with indices
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Composite Functions L.O.
All pupils are confident with basic function notation All pupils understand composite functions Most pupils can solve composite functions questions written in a variety of notations
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Plenary: Wipeboards
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Composite Functions L.O.
All pupils are confident with basic function notation All pupils understand composite functions Most pupils can solve composite functions questions written in a variety of notations
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