**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

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**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

**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

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Area Between Curves – Marking Scheme

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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

Solutions: Integration 1 Solutions, Further Calculus – Solutions

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Revision Sheet: Trig Revision

Complete by Thursday 28th February

Worked Solutions from class

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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

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**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 Marking Scheme

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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 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

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**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**

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