Posted on Thursday 22 August, 2013 by Mr H

**Topic:** Quadratic Theory, MiA Unit 2 Ch1.2

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

• use the quadratic formula to calculate roots

• know that discriminant of ax² + bx + c = 0 is b² – 4ac

• use discriminant to determine nature of roots of a quadratic

• use discriminant to find condition that the roots of a quadratic are real, equal or unequal

• know condition for tangency; intersection of line and parabola (lines and curves)

• solve quadratic inequalities

• determine a quadratic equation given roots

**Homework:** Quadratic Theory Set2

**Due:** Thursday 29 August

Please comment below if you have any questions about the homework exercise or the topic.

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Filed under: Higher | Tagged: Higher, quadratics | Leave a comment »

Posted on Sunday 26 August, 2012 by Mr H

**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

Filed under: Higher | Tagged: algebra, functions, Higher, quadratics | 6 Comments »

Posted on Sunday 19 September, 2010 by Mr H

New Topic: Factors, MiA 3³ Ch5

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

by first looking for a common factor
by recognising a difference of two squares
trinomials (e.g. x² -2x -3 and 2x² – 7x + 3)

Filed under: 3rd Year | Tagged: algebra, factorising, National 5, quadratics, trinomials | 11 Comments »

Posted on Tuesday 22 June, 2010 by Mr H

**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

Filed under: Higher | Tagged: exponentials, functions, Higher, logs, quadratics | 17 Comments »