## The Exponential & Logarithmic Function 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

ALL pupils should be able to Q1

MOST pupils should be able to complete Q2,3

SOME pupils should be able to complete Q4

Due: Will be completed in class

## Sequences 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 un notation for the nth term of a sequence

• define and interpret recurrence relations of the form un+1 = mun + 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

ALL pupils should be able to Q1-4

MOST pupils should be able to complete Q5

SOME pupils should be able to complete the extension question below

Due: Wednesday 23rd March 🙂

## Integration New Topic: Integration

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

Homework: Integration 1, Further Calculus

ALL pupils should be able to Integration 1 Q1-3, 5

MOST pupils should be able to complete Integration 1 Q4, and Further Calculus Q2-3

SOME : pupils should be able to Integration 1 Q6 and Further Calculus Q7

Due: Thursday 10th March

## Trig Revision Revision Sheet: Trig Revision

Complete by Thursday 28th February

Worked Solutions from class

🙂

## Wave Function

New Topic: Wave Function

Homework: Wave Function Set 3

ALL pupils should be able to Q1-3

MOST pupils should be able to complete Q4 & 5

SOME : pupils should be able to Q6 & 7

Due: Thursday 18th February

🙂

## Vectors Revision Vectors Revision

Skills:
• 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

Vectors Revision

Vectors Revision Marking Scheme

## Higher Prelim Revision

PRACTICE really does make perfect when it comes to revising Maths.

Working your way through past papers is the only way to make sure you have understood what you’ve been taught during the year.

Remember ‘RE VISION’ means ‘SEE AGAIN’. Redoing homework or past paper exercises again is a good idea, you can compare with your previous attempt. Having done it before does not necessarily mean knowing it!

Make sure that you USE all the resources available to you; past papers, textbook, class notes, homework resources, topic checklists, study guides, internet, TEACHER!, etc.

Good luck!

Higher Prelim 2007-08

Higher Prelim 2008-09

Higher Prelim 2009-10

Higher Prelim 2010-11

Higher Prelim 2011-12

Higher Prelim 2012-13

Higher Prelim 2013-14

Higher Prelim 2014-15

Higher Prelim Revision Booklet

These prelims follow the old Higher Unit order and contain topics not yet covered: i.e. Recurrence Relations (Sequences) and Integration.  Please miss these questions out and ask if unsure.

Mr H

## Protected: Higher Maths Practice Papers

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## Trigonometry 1

Trigonometry 1: Applying trigonometric skills to solve equations

By the end of this topic you will be able to:
• convert Degrees to Radian measure and vice versa
• recall exact values in and calculate using radian measure
• translate graphs of trig functions
• solve trigonometric equations in degrees or radians

• including those involving the wave function or trigonometric formulae or identities, in a given interval

Homework: Trigonometry HW1

Due: Monday 20th December

ALL pupils should be able to Q1-4

MOST pupils should be able to complete Q5

SOME : Not applicable for HW1

DO NOT DO Q6

🙂

## The Circle New Topic: The Circle

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 Set2

Due: Monday 7th December

ALL pupils should be able to complete Q1 – 4

MOST pupils should be able to complete Q7

SOME pupils should be able to complete Q6

DO NOT DO Q5

Circles Set2 Solutions

🙂