Fourth Year General Course Outline

Transcription

1 Fourth Year General Course Outline based on TeeJay s General Book 4G Page 0

2 S3 Revision Work Ch Could be used in June S3 - Revise 2-3 topics at a time Nil Integers Ch Bank Balance ± 20, above/below sea-level, etc. H/W Using thermometer... 2 up from 4 H/W Add/Subtract Integers H/W Multiplication/Division of Integers 2 x -9 etc H/W 23 5 Coordinates with negative numbers H/W What have I Learned Review Exercise 1 25 Rounding Revision Give reminders first 4E - Algebraic +/ H/W 5E - Double ve H/W 6E - x by a +ve integer H/W Assessment 1 (+ extension if desired) Proportion Ch Rate - m.p.h, words per minute etc. H/W Direct Proportion 5 apples cost 20p. What do 7 cost? H/W What have I Learned Review Exercise 2 31 Decimals + - x Revision Give reminders first Non-Calculator Ex 1 32 Revision of non-calc sums which appear in Paper 1. 2E - Linear Graph of Proportion H/W 3E - Inverse Proportion H/W Assessment 2 (+ extension if desired) Symmetry Ch Finding lines of symm. + Reflecting shapes in them H/W Order of symmetry. Half-turn symmetry. H/W Giving shapes a Half-turn. (180 turn) H/W What have I Learned Assessment 3 Review Exercise 3 42 Percentages (Calc reqd) Revision Give reminders first Page 1

3 Indexes - Powers Ch Using Power Button on Calculator eg 2 5 =... H/W /3 Change normal numbers into Scientific Notation H/W Change Scientific Notation back into normal numbers H/W Review Exercise 4 52 Pythagoras find hyp. side only (Calc) Remind first What Have I Learned? 4E - Sci. Notation (small Nos) H/W Non-Calculator Ex 2 53 More Revision of non-calc sums which appear in Paper 1. Assessment 4 (+ extension if desired) Pythagoras Theorem Ch Pythagoras Minus - finding a small side. Problems H/W Distance between 2 points. Pythagoras Plus H/W A mixture - Pythagoras Plus OR Pythagoras Minus H/W What have I Learned? Assessment 5 Review Exercise 5 62 Algebra - brackets, simplifying, equations Remind first Gradients & Lines Ch Calculating gradient m = Equation of a straight line vertical distance horizontal distance H/W y = mx H/W Drawing lines with equation y = mx H/W Drawing lines with equation y = mx + c H/W Page 2 4E - Grad. in coord diagrams H/W Assessment 6 (+ extension if desired)

4 Review Exercise 8 100/101 Money VAT HP Profit Insurance Euros Remind first Non-Calculator Ex More Revision of non-calc sums which appear in Paper 1. Similar Figures Ch Meaning of Similar. Scale Factor Scaling to get side. H/W Similar Triangles Scale Factor H/W 2E - Similar Areas H/W Assessment 9 (+ extension if desired) Review Exercise 7 88 Wages/Salaries Overtime etc Remind first Volumes Ch Counting cubic centimetre blocks H/W Use of formula V = L B H H/W Liquid volume - cu cm, ml, litres. (+ Conversion ml to l) H/W 3E - Vol Cylinder H/W 4E - Vol Triangular Prism H/W Assessment 8 (+ extension if desired) Review Exercise Patterns Constructing formula from tables. Remind 1st Non-Calculator Ex More Revision of non-calc sums which appear in Paper 1. Factorising Ch Revision - multiply out brackets & gather like terms H/W Finding factors of whole numbers. HCF also. H/W Factorising eg 6x - 14 = 2(3x - 7) H/W Assessment 15 PRELIM Page 3

5 Review Exercise Circumference of Circle Revise formula first C = d. Area of a Circle Ch Revision of circumference C = d + Harder examples H/W diameter = 2 x radius. Using d = C to find diameter H/W Area of Circle A = r 2 Watch when diameter is given H/W Area of semi-circles, parts of circles etc. H/W 4E - Harder Questions H/W Assessment 10 (+ extension if desired) Review Exercise Fractions/Percentages of a quantity Remind first Non-Calculator Ex More Revision of non-calc sums which appear in Paper 1. Ratio Ch Writing Ratios from pictures using : symbol H/W Simplifying ratios eg 12:18 = 2:3 H/W Given a ratio, perform a calculation. H/W Sharing in a given ratio. eg split 20 in ratio 2:3. H/W Assessment 11 Review Exercise 6 78 Areas - Rect, Triangle, Composite. Revise formula first Non-Calculator Ex 3 79 More Revision of non-calc sums which appear in Paper 1. Surface Areas Ch Building up area of faces to surface area of cube/cuboid H/W the NET of cubes/cuboids/triangular prisms H/W Page 4 2E - S.A. Triangular Prism H/W 3E - S.A. Cylinder H/W Assessment 7 (+ extension if desired)

6 Review Exercise TRIG use of TAN to find side and angle Go over first Protractor Required Non-Calculator Ex More Revision of non-calc sums which appear in Paper 1. * You may wish to do this before Ex above Trigonometry Ch use of SIN to find a side H/W (revisited) use of SIN to find an angle H/W use of COS to find a side then to find an angle H/W you may have done most SOHCAHTOA Choose from :- tan OR sin OR cos! H/W of this from S3 Ext book. Assessment 13 Still..it will do no harm to go over it again Review Exercise Angles naming measuring of a triangle Remind first Protractor Required Angles in Circles Ch Revision :- suppl, compl, vert opp, 180 triangle H/W 137 Exper Experiment with angles in circles Protractor/Compasses H/W Angle in a semi-circle = 90 H/W Use of Pythagoras Th in a semi-circle H/W Use of Trigonometry in a semi-circle *Q12/Q13 optional H/W Review Exercise Time, Distance, Speed Go over first... D S T 3E - Tangents to Circles H/W 4E - Using Pythag/Trig H/W Assessment 12 (+ extension if desired) Formulae Ch Substitute numbers for letters in expressions H/W Formula... rules expressed in words H/W Using formulae eg V = 5pt. Find V when p = 2 and t = 3 H/W Page 5 3E - Harder Questions H/W Assessment 14 (+ extension if desired)

7 Review Exercise Scale Drawing Do example first. Ruler/Protractor required Tolerance Ch (20 ± 1) means??? Max/Min. H/W Given Max/Min, now write in tolerance form (a ± b) H/W Assessment 16 Review Exercise Statistics & Probability. Remind first. Ruler/Protractor required Non-Calculator Ex More Revision of non-calc sums which appear in Paper 1. Variation Ch Short revision of proportion H/W Variation. The varies as symbol Find k. Use formula H/W Note - varies as is sometimes written... is directly proportional to 2E - Direct Variation H/W Assessment 17 (+ extension if desired) Non-Calculator Ex More Revision of non-calc sums which appear in Paper 1. Non-Calculator Ex Final Revision of non-calc sums which appear in Paper 1. The 5 non-calc sums given each evening + the 10 non-calc exercises in the book should provide enough basic non-calc examples for Paper 1 Revision (a) TJ General Revision Booklets (b) PAST PAPERS Page 6