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Leaving Cert Maths
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LCHL - Order
Revision
Proofs
Trig Proofs
Revision Presentations
S1 Statistics & Probability
1.1 Counting
Fundamental Principle of Counting
LCHL Fundamental Principle of Counting, arrangements and combinations
Selecting r objects from n distinct objects
1.2 Concepts of Probability
LCHL Concepts of Probability
LCHL Rules of Probability
LCHL Use of the counting method to evaluate probabilities
1.3 Outcomes of Random Processes
1.4 Statistical Reasoning
LCHL The Purpose of Statistics and the Data Handling Cycle
1.5 Finding, Collecting & Organising Data
1.6 Representing Data
1.7 Analysing, interpreting and drawing inferences from data
LCHL Analysing data graphically and numerically, interpreting and drawing inferences from data
1.8 Synthesis and Problem-solving skills*
S2 Geometry & Trigonometry
2.1 Synthetic Geometry
Constructions
Definitions & Terms
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.
LCHL **Theorem 12 and **Theorem 13
LCHL Constructions 13, 14, 15, *Pythagoras’ Theorem (*Theorem 14), converse of Pythagoras’ Theorem (Theorem 15) & Proposition 9
LCHL Enlargements
LCHL Introduction to area, Theorem 16, Definition 38, Theorem 17 and Theorem 18
LCHL Revision - Constructions 1, 2, 3 & 4
LCHL Revision of JC synthetic geometry - Constructions 6,7,10,11,12, Axiom 4, Theorem 2
LCHL Revision of JC synthetic geometry - Theorems 3, *4, 5, *6, 7 & 8
LCHL Revision of JC synthetic geometry - Theorems 3, 4, 5, 6, 7 & 8
proof by contradiction in proving the converse of Theorem 7
Prove Converse of Theorem 7 by Contradiction
LCHL Revision of preliminary concepts - Plane and points, Axioms 1, 2 , 3 & 5 , Theorem 1, Constructions 8,9 & 5
LCHL Revision of quadrilaterals, parallelograms, Theorems *9 & 10, Corollary 1 and Construction 20
Suggested class activities from Project Maths
LCHL Revision: Junior Certificate transformation geometry
Suggested Activities from Project Maths
LCHL Revision: More on quadrilaterals
LCHL Synthetic Geometry
Notation, Axioms & Theorems
Propositions
2.2 Co-ordinate Geometry
Area of a triangle given the coordinates of the vertices
LCHL Review of Junior Cycle co-ordinate geometry
LCHL Co-ordinate Geometry
LCHL Divide a line segment internally in the ratio m:n
LCHL The perpendicular distance from a point to a line
The angle between two lines
2.3 Trigonometry
Appendix of Trig Formulae
LCHL 3D trigonometry
LCHL Area of triangle, sine rule & cosine rule
LCHL The unit circle and graphs of trigonometric functions
LCHL Trigonometric formulae and proofs
LCHL: Revision of JC Trigonometry with extension to LC HL (radian measure)
2.4 Transformation Geometry, Enlargements
2.5 Synthesis and Problem-solving Skills *
S3 Number
3.1 Number Systems
3.1 Number Systems Foundation Level
LCHL - Arithmetic Sequences & Series
LCHL - Number Systems
3.2 Indices
LCHL Indices
LCHL Logs
3.3 Arithmetic
Financial Maths
3.4 Length, Area and Volume
LCHL - Nets, length, area and volume
3.5 Synthesis and Problem-solving Skills *
S4 Algebra
4.1 Expressions
4.1 Expressions Foundation Level
4.1 Expressions Khan Academy
4.1 Expressions Polynomials
LCHL - Expressions
LCHL - Rearranging Fomulae
4.2 Solving Equations
4.2 Solving Equations Foundation Level
LCHL10 - Solving Equations and the Factor Theorem
4.3 Inequalities
4.3 Inequalities - Foundation Level
LCHL11 - Inequalities - linear, quadratic and rational
LCHL12 - Modulus Inequalities
4.4 Complex Numbers
4.5 Synthesis and Problem-solving Skills*
LCHL - A Relations approach to Algebra
S5 Functions
5.1 Functions
LCHL Functions 1
LCHL Functions 2
LCHL Limits
LCHL Revision of function concepts and relations without formulae
5.2 Calculus
LCHL Calculus
LCHL Differential Calculus
LCHL Integration
Project Maths Calculus Links
5.3 Synthesis and Problem-solving Skills*
Solutions
Tests
Leaving Cert Maths
Selecting r objects from n distinct objects
Video: Khan Academy - Combinations
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