Filed under: National 5, National 5 | Tagged: National 5, revision | Leave a comment »

## Trig Revision

Revision Sheet: Trig Revision

Complete by Thursday 28th February

Worked Solutions from class

ðŸ™‚

Filed under: Higher, Higher | Tagged: compound angle formulae, equations, Higher, trigonometry, wave function | Leave a comment »

## Vectors Revision

**Vectors Revision**

Skills:

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

â€¢ add and subtract vectors and multiply a vector by a scalar

â€¢ determine the distance between two points in three dimensions

â€¢ determine and solve problems relating to parallel, perpendicular and collinear lines

â€¢ use and apply the scalar product

Vectors Revision Marking Scheme

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

## Higher Prelim Revision

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

Remember â€˜RE VISIONâ€™ means â€˜SEE AGAINâ€™. 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!,Â 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. Â Please miss these questions out and ask if unsure.

Mr H

Filed under: Higher, Higher | Tagged: Higher, higher revision, Prelim | Leave a comment »

## Protected: Higher Maths Practice Papers

Filed under: Higher | Tagged: Higher, higher revision | Enter your password to view comments.

## Differentiation

New Topic: Differentiation, MiA Higher Ch3

By the end of this topic you will:

â€¢ be familiar with the terminology associated with differentiation

â€¢ understand the principles of differentiation

â€¢ be able to derive the gradient formula of a given function

â€¢ be able to calculate the gradient of a tangent to a curve

â€¢ be able to use differentiation to solve optimisation problems

**Homework 1:** Differentiation 1 Set1

**Due:**Â 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 –Â 4

**MOST** pupils should be able to complete Q5 & 6

**SOME** pupils should be able to complete Q7

**Differentiation HW2 – Solutions**

ðŸ™‚

Filed under: Higher | Tagged: calculus, differentiation, Higher | 1 Comment »

## Composite Functions

By the end of this lessonÂ you will:

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

**Homework:**Â Composite and Inverse Functions Set1

**Due:**Â TBC

.

Filed under: Higher | Tagged: composite functions, functions, Higher, inverse functions | 2 Comments »

## What is a radian?

Click the image to view an explanation….

Filed under: Higher, National 5, Study Support | Tagged: radians | Leave a comment »

## Polynomials

**New Topic:** Polynomials

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

â€¢ Factorise a cubic polynomial expression with unitary *x*^{3} coefficient

â€¢ Solve cubic polynomial equations with unitary *x*^{3} coefficient

â€¢ Factorise a cubic or quartic polynomial expression where the term of highest degree has a non-unitary coefficient

â€¢ Solve a cubic or quartic polynomial equation, where the term of highest degree has a non-unitary coefficient

â€¢ Find the coordinates of the point(s) of intersection of a straight line and a curve or of two curves

**Homework:** Polynomials Set1Â (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. Â These should be handed in with your next homework or earlier. Please see me for help if necessary.

ðŸ™‚

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

## Quadratic Theory

**New Topic: Quadratic Theory**

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

â€¢ Given the nature of the roots of a quadratic equation, use the discriminant to find an unknown

â€¢ Finding the coordinates of the point(s) of intersection of a straight line and a curve or of two curves

â€¢ know condition for tangency; intersection of line and parabola (lines and curves)

â€¢ 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. Â These should be handed in with your next homework or earlier. Please see me for help if necessary.

Quadratic Theory Set1 Solutions

ðŸ™‚

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