LCHL - Order

* Note many of the projectmaths.ie links throughout the site are broken since it updated its site

TEACHER HANDBOOK Senior Cycle (Higher Level)

• 1. LCHL - Number Systems 4

  2. LCHL - Indices 3

  3. LCHL - Logs 4

  4. LCHL - A Relations approach to Algebra 5

  5. LCHL - Arithmetic & Geometric Sequences & Series 6

  6. LCHL - Functions 1 8

  7. LCHL Functions 2 2

  8. LCHL - Expressions 5

  9. LCHL - Rearranging Fomulae 2

  10. LCHL - Solving equations and the Factor Theorem 10

  11. LCHL - Inequalities - linear, quadratic and rational 5

  12. LCHL - Modulus Inequalities 3

  13. LCHL - Nets, length, area and volume 5

  14. LCHL Revision of JC Trigonometry with extension to LC HL (radian measure) 4

  15. LCHL The unit circle and graphs of trigonometric functions 10

      1. LCHL Area of triangle, sine rule & cosine rule 6

      2. LCHL 3D trigonometry 3

  16. LCHL Trigonometric formulae and proofs 5

  17. LCHL Review of Junior Cycle co-ordinate geometry 2

• • 1. LCHL Area of a triangle given the coordinates of the vertices 2

• 18. LCHL Divide a line segment internally in the ratio m:n 2

  19. LCHL The perpendicular distance from a point to a line 2

  20. LCHL The angle between two lines 2

  21. LCHL Revision of preliminary concepts - Plane and points, Axioms 1, 2 , 3 & 5 , Theorem 1, Constructions 8,9 & 5 1

  22. LCHL Revision of JC synthetic geometry - Constructions 6,7,10,11,12, Axiom 4, Theorem 2 1

  23. LCHL Revision of JC synthetic geometry - Theorems 3, *4, 5, *6, 7 & 8 1

  24. LCHL Revision - Constructions 1, 2, 3 & 4 1

  25. LCHL Revision: Junior Certificate transformation geometry 1

  26. LCHL Revision of quadrilaterals, parallelograms, Theorems *9 & 10, Corollary 1and Construction 20 1

  27. LCHL Revision: More on quadrilaterals 1

  28. LCHL **Theorem 11: If three parallel lines cut off equal segments on some transversal line, then they will cut off equal segments on any other transversal. 1

  29. LCHL **Theorem 12 and **Theorem 13 2

  30. LCHL Constructions 13, 14, 15, *Pythagoras’ Theorem (*Theorem 14), converse of Pythagoras’ Theorem (Theorem 15) & Proposition 9 1

  31. LCHL Introduction to area, Theorem 16, Definition 38, Theorem 17 and Theorem 18 1

  32. LCHL Enlargements

  33. LCHL Fundamental Principle of Counting, arrangements and combinations

  34. LCHL Concepts of probability

  35. LCHL Rules of probability

  36. LCHL Use of the counting method to evaluate probabilities

  37. LCHL The purpose of Statistics and the Data Handling Cycle

  38. LCHL Analysing data graphically and numerically, interpreting and drawing inferences from data

  39. LCHL Revision of function concepts and relations without formulae

  40. LCHL Limits

  41. LCHL Differential Calculus

  42. LCHL Integration

  43. LCHL Revision of counting and probability concepts from fifth year (Section 1.1 to 1.3 JC syllabus)

  44. LCHL Probability Rules

  45. LCHL Bernoulli Trials

  46. LCHL Random variables and expected value

  47. LCHL Consolidation of probability concepts

  48. LCHL Revision of statistics concepts from 5th year

  49. LCHL Bivariate data, scatter plots, correlation

  50. LCHL Normal Distribution and Standard Normal

  51. LCHL Drawing inferences from data, confidence intervals, margin of error, the concept of a hypothesis test,

  52. LCHL Theorem *19, Corollaries 2, 3, 4 and 5

  53. LCHL Theorem 20, Corollary 6 and Construction 19

  54. LCHL Theorem 21 & Construction 18

  55. LCHL Constructions 16 and 17

  56. LCHL Construction 21 and 22

  57. LCHL Co-ordinate geometry of the circle

  58. LCHL Financial Maths

  59. LCHL Proof by Induction

  60. LCHL Complex numbers 1

  61. LCHL Complex numbers 2