Trig Revision

Revision Sheet: Trig Revision

Complete by Thursday 28th February

 

Worked Solutions from class

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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

 

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Differentiation

New Topic: Differentiation, MiA Higher Ch3

By the end of this topic you will:
• be familiar with the terminology associated with differentiation
• understand the principles of differentiation
• be able to derive the gradient formula of a given function
• be able to calculate the gradient of a tangent to a curve
• be able to use differentiation to solve optimisation problems

Homework 1: Differentiation 1 Set1

Due: Friday 3:20pm – submit to Mr H’s office

ALL pupils should be able to complete Q1 & 2

MOST pupils should be able to complete Q4

SOME pupils should be able to complete Q3

 

Homework 2: Differentiation HW2

Due: Wednesday 18th November

ALL pupils should be able to complete Q1 – 4

MOST pupils should be able to complete Q5 & 6

SOME pupils should be able to complete Q7

Differentiation HW2 – Solutions

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Composite Functions

By the end of this lesson you will:

• be able to find f(g(x)) given f(x) and g(x)

Homework: Composite and Inverse Functions Set1

Due: TBC

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What is a radian?

Click the image to view an explanation….

Polynomials

New Topic: Polynomials

By the end of this topic you will be able to:
• Factorise a cubic polynomial expression with unitary x³ coefficient
• Solve cubic polynomial equations with unitary x³ coefficient
• Factorise a cubic or quartic polynomial expression where the term of highest degree has a non-unitary coefficient
• Solve a cubic or quartic polynomial equation, where the term of highest degree has a non-unitary coefficient
• Find the coordinates of the point(s) of intersection of a straight line and a curve or of two curves

Homework: Polynomials Set1 (Q1-6 only)

Due: Thursday 17th September

Please check the solutions below and attempt the equivalent questions from the Set 2 sheet to those you struggled with first time.  These should be handed in with your next homework or earlier. Please see me for help if necessary.

Polynomials Set 1 Solutions

Polynomials Set2

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Quadratic Theory

New Topic: Quadratic Theory

By the end of this topic you will be able to:
• Given the nature of the roots of a quadratic equation, use the discriminant to find an unknown
• Finding the coordinates of the point(s) of intersection of a straight line and a curve or of two curves
• know condition for tangency; intersection of line and parabola (lines and curves)
• solve quadratic inequalities

Homework: Quadratic Theory Set1

Due: Wednesday 2nd September

Please check the solutions below and attempt the equivalent questions from the Set 2 sheet to those you struggled with first time.  These should be handed in with your next homework or earlier. Please see me for help if necessary.

Quadratic Theory Set1 Solutions

Quadratic Theory Set2

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Euler Line

Euler Line – Group Investigation

In groups of 2 or 3:

Find the equation of the Euler line of the triangle with vertices A(-2, -4), B(2, 4) and C(12, -4).

Your group submission should be in the form of a presentation in a form of your choice. Your presentation must include:
• a fully worked solution with explanation
• accurate diagram
• other relevant information you discovered during your investigation

All members of your group should be prepared to present your findings to the class.

Due: Wednesday 30th September

Euler Line Investigation Worksheet