d) Easter Revision

National 5 Easter Revision 2015
Session 1: Wednesday 15th April 1pm to 3pm
Session 2: Thursday 16th April 1pm to 3pm
The focus will be on working through example exam questions and past papers (Intermediate 2 and Credit).  Students can opt to revise certain topics in preparation for unit test resits.
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Since 2003 we have run revision classes during the second week of the Easter break.   These cover levels Advanced Higher, Higher, Intermediate 2/Credit and Intermediate 1/General.  However this year we are only running them for HIGHER.
Notes and exercises are given to pupils over 4 sessions, spaced out over 1 or 2 days.
Pupils studying other levels have been given the opportunity to but the notes.
The times of the HIGHER revision classes are given below.
Pupils should check these on this website before traveling to school in case of any last minute changes.

The sessions will be in room F15 for HIGHER at the following times.
SELF STUDY UNIT:

  • Lesson 1 – [Unit 1: Quick revision and look at some exam questions]

Monday 8th April 2013:

  • Lesson 2 – 1215 to 1340 [Unit 2: Polynomials, Quadratic Theory and The Circle]
  • Lesson 3 – 1350 to 1530 [Unit 2: Integration and Compound Angles (trig.)]

Wednesday 10th April 2013:

  • Lesson 4 – 1000 to 1140 [Unit 3: Vectors, Logarithms and Exponentials]
  • Lesson 5 – 1150 to 1330 [Unit 3: Calculus and Wave Function (trig.)].

We used the Higher exams from 1997, 1998 and 1999 (note that a calculator can be used with both papers for these years) so as not to conflict with revision being done at home and in the classroom. Answers to these papers can be found at http://www.madras.fife.sch.uk/maths/resources.html

 
In previous years we have revision classes for the other levels as follows [please note THE CLASSES BELOW ARE NOT RUNNING THIS YEAR]:
The sessions for ADVANCED HIGHER will be in room F15 at the following times 
SELF-STUDY UNIT:
  • Lesson 1 – [Algebra (combinations; binomial theorem; partial fractions), Functions (nature of st. pts. using f’’ – including concave up/down to locate pts of inflexion; sketch graphs of inverse; modulus; even/odd; asymptotes; sketching), Differentiation (product & quotient rules; derivatives of tanx, ex, lnx; applications).

Monday 9th April 2012:

  • Lesson 2 – 1225 to 1345 [Differentiation (derivatives of (sin/cos/tan)-1; diff. an inverse func; implicit diff. (1st & 2nd derive.); diff. logs; parametric diff. (1st & 2nd); parametric motion; applications), Integration (standard integrals; integrals of ex, x-1, sec2x; substitution; revolution), Integration (standard integrals; int. by parts; int. by parts repeatedly)]
  • Lesson 3 – 1355 to 1515 [Sequences & Series (arithmetic: formula, sum; geometric: formula, sum, sum to infinity; sigma notation; binomial expansion for (a+b)-1; standard seq./series), Complex Numbers (Argand diagram; modulus & argument; Cartesian & polar forms + equate real and imaginary parts; fundamental theorem of algebra; De Moivre’s Theorem – inc. multiple angle trig; nth roots of unity)]

Tuesday 10th April 2012:

  • Lesson 4 – 1225 to 1345 [Vectors (vector product; eqn of line (parametric & symmetric); eqn of plane (parametric & Cartesian); angle between lines/planes/planes & lines; intersection of lines/planes/line & plane), Number Theory & Proof (direct; fundamental theorem of arithmetic; counter-example; proof by contradiction; simple induction; standard proofs)]
  • Lesson 5 – 1355 to 1515 [Integration (diff. eqns – variables separable; applications; growth/decay), Differential Equations (integrating factor; homogeneous/non-homogeneous; auxiliary equation; complementary function/particular integral; applications), Sequences & Series (power series; Maclaurin’s series; iteration; convergence)]

 If needed, an additional lesson can be schedule for after the Easter break.

 

The sessions for INTERMEDIATE 2 / CREDIT will be held in F15 room at the following times.
Monday 9th April 2012 :

  • Lesson 1 – 0915 to 1035 [Percentages (appreciation/depreciation, compound interest), Volume of Solids (prisms, cylinders, cones, spheres + surface area), Graphs, Charts and Tables (pie charts, stem-and-leaf, cumulative frequency tables, dot plots, box plots, median, quartiles), Statistics (mean, mode, range, semi-interquartile range), Circles (arcs, sectors, angle in a semicircle, tangents, chords, symmetry/radii)]
  • Lesson 2 – 1045 to 1205 [Linear Relationships (y = mx + c), Simultaneous Equations (create formula, solve pair of equations), Trigonometry (second angle, Sine Rule, Cosine Rule, Area of a Triangle)]
Tuesday 10th April 2012:
  • Lesson 3 – 0915 to 1035 [Algebra (brackets, factorising), Quadratic Functions (roots – by solving equation/iteration/inspection, equations, quad. formula, “complete the square”), Statistics (scattergraphs, probability)]
  • Lesson 4 – 1045 to 1205 [Statistics (standard deviation), Trigonometry (graphs – including phase angles, equations, identities), Algebra (change subject of formula, surds, rationalise denominator, indices, algebraic fractions)]
After the Easter break, if any pupil feels they need some extra revision then they should let their teacher know and I will try to organise some lunchtime or after school sessions.

 

The sessions for Intermediate 1 / General will be held in the F16 room and at the following times.
Tuesday 10th April 2012:
  • Lesson 1 – 0915 to 1035 [Basic Calculations (percentage of a quantity, express one quantity as a percentage of another, rounding, direct proportion, fractions), Calculations in Everyday Context (using money, exchange rates, wages, commission, bonuses, overtime, HP, insurance), Simple Graphs, Charts & Tables (bar, line, pie, stem-and-leaf, frequency table, scattergraph, trends, interpret graphs), Standard Form (large and small numbers, using the calculator)]
  • Lesson 2 – 1045 to 1205 [Basic Geometric Properties (area of composite shapes, volume of cuboid, area and circumference of a circle), Integers (coordinates, add/subtract, multiply/divide), Statistics (mean, mode, median, range, probability, interpreting statistics, calculate statistics from a frequency table)]
  • Lesson 3 – 1225 to 1345 [Expressions and Formulae (evaluate expressions, evaluate formulae expressed in words, evaluate simple formulae expressed in symbols), Simple Algebraic Operations (evaluate formulae, expand brackets, simplify, factorise, equations, inequations), Graphical Relationships (straight line y = mx + c)]
  • Lesson 4 – 1355 to 1515 [Speed, Distance & Time (interpret graphs, time intervals, calculate speed/distance/time), Pythagoras (find missing lengths), Trigonometry (find sides and angles)]