**New Topic:** Algebraic Functions and Graphs

By the end of this topic you will be able to:

• complete the square for quadratic functions

• recognise the probable form of a function from its graph

• draw graphs of related functions given *f(x)*, *f(x)* being a simple polynomial or trigonometric function

• know the general features of the graphs of *y=a ^{x}* and

*y=log*

_{a}x
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Filed under: Higher | Tagged: algebra, functions, Higher, quadratics |

Mr H, on Sunday 26 August, 2012 at 22:00 said:Monday 27th August, Periods 2 & 3Mental warm-up: squaring brackets, e.g. (x + 2)²

Practice factorising then look at quadratic function on graphics calculator.

Look at link between values in trinomial and factors with the graph.

Recap translating the y = x² function.

Lead into completing the square.

Mr H, on Tuesday 28 August, 2012 at 13:33 said:Tuesday 28th August, Period 6JW to deliver class starter.

Class to work through ‘Completing Square’ exercise while target setting discussions take place.

Mr H, on Tuesday 28 August, 2012 at 16:31 said:A(2,4), B(2,-4) & C(-4,1)

Find the point of intersection of the altitude through C and the median through A. – JW

Mr H, on Tuesday 28 August, 2012 at 13:36 said:Wednesday 29th August, Period 3RS to deliver starter.

Final day working through ‘Completing Square’ problems.

Combination of worksheet and p30 Ex1A/B.

Mr H, on Wednesday 29 August, 2012 at 12:39 said:A(0,2), B(4,8), C(7,6) & D(3,0) are the vertices of a quadrilateral.

What type of quadrilateral is it? – RS

Mr H, on Wednesday 29 August, 2012 at 16:33 said:Thursday 30th August, Period 4Composite & Inverse Functions Homework due.

CR to deliver starter.

Maxima and minima of quadratic functions.