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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Trigonometry 1

Mr H in 10 years

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

🙂

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

🙂

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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