Supported study Tuesday’s with Mr Mezals

🙂

Filed under: Higher | Tagged: Higher | 4 Comments »

Posted on Monday 6 October, 2014 by Mr H

Posted on Monday 1 September, 2014 by Mr H

New Topic: MiA Higher Ch2.2 Algebraic Functions and Graphs, pp30-44

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

**Homework:** Algebraic Functions Set1

**Due:** Thursday 25th September

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

Posted on Monday 25 August, 2014 by Mr H

By the end of this topic you will:

- know domain, range, inverse, composite functions
- be able to find f(g(x)) given f(x) and g(x)

**Homework:** Composite and Inverse Functions Set1

**Due:** Thursday 11th September

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Filed under: Higher | Tagged: composite functions, functions, Higher, inverse functions | Leave a comment »

Posted on Tuesday 6 May, 2014 by Mr H

Posted on Tuesday 18 March, 2014 by Mr H

**New Topic:** The Exponential and Logarithmic Functions

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

• recall and use the laws of logarithms

• solve simple exponential and logarithmic equations

• model mathematically situations involving the logarithmic or exponential function

Homework: Logs and Exponentials Set1

😉

Filed under: Higher | Tagged: exponentials, Higher, logarithms | Leave a comment »

Posted on Friday 28 February, 2014 by Mr H

**New Topic:** Vectors, MiA Unit 3 Ch1

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

• know meaning of terms; vector (column, position, unit), scalar, magnitude, directed line segment, component

• add and subtract vectors and multiply a vector by a scalar

• determine the distance between two points in three dimensions

• determine and solve problems relating to parallel, perpendicular and collinear lines

• use and apply the scalar product

Homework: Vectors Set1

😉

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

Posted on Thursday 6 February, 2014 by Mr H

New Topic: The Circle, MiA Unit 2 Ch4

By the end of this topic you will:

• know that the equation of the circle centre (a,b) and radius r is (x – a)² + (y – b)² = r²

• know that x² + y² + 2gx + 2fy + c = 0 represents a circle centre (–g, –f) and

radius r = √(g² + f² – c), provided g² + f² – c > 0

• be able to determine the equation of a circle

• be able to solve problems with the intersection of a line and a circle,

and a tangent to a circle

• be able to determine whether two circles touch each other

Homework: Circles Set1

😉

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Posted on Friday 6 December, 2013 by Mr H

New Topic: Integration, MiA Unit 2 Ch2

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

• know meaning of terms; integral, integrate, constant of integration,

definite integral, limits of integration, indefinite integral, area under curve

• calculate indefinite integrals

• evaluate definite integrals

• determine area between curve y = f(x), x-axis and lines x = a and x = b

• determine area bounded between two curves

• solve differential equations

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

Posted on Friday 22 November, 2013 by Mr H

**New Topic:** Polynomials, MiA Unit 2 Ch1.1

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

• use the Remainder Theorem to find remainder when dividing by x – h

• determine the roots of a polynomial equation

• use the Factor Theorem to determine the factors of a polynomial

f(x) = (2x – 1)(3x + 2)(2x – 5)

**Homework:** Polynomials Set1

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

Posted on Wednesday 6 November, 2013 by Mr H

New Topic: Sequences, MiA Higher Ch4

By the end of this topic you will:

• know the terms: sequence, nth term, limit as n tends to

• use u_{n} notation for the nth term of a sequence

• define and interpret recurrence relations of the form u_{n+1} = mu_{n} + c

• know condition for limit of sequence from recurrence relation to exist

• find (where possible) and interpret the limit of a sequence resulting from a recurrence relation in a mathematical model

**Homework:** Recurrence Relations Set1

**Due:** Wednesday 13th November

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Filed under: Higher | Tagged: Higher, recurrence relations, sequences | Leave a comment »