Useful Links Mathematics

# Mathematics

### Introduction

Leaving Certificate Mathematics aims to develop mathematical knowledge, skills and understanding needed for continuing education, life, and work. By teaching mathematics in contexts that allow learners to see connections within mathematics, between mathematics and other subjects and between mathematics and its applications to real life, it is envisaged that learners will develop a flexible, disciplined way of thinking and the enthusiasm to search for creative solutions.

The objectives of Leaving Certificate Mathematics are that learners develop

• the ability to recall relevant mathematical facts
• instrumental understanding ("knowing how") and necessary psychomotor skills (skills of physical co-ordination)
• relational understanding ("knowing why")
• the ability to apply their mathematical knowledge and skill to solve problems in familiar and unfamiliar contexts
• analytical and creative powers in mathematics, an appreciation of mathematics and its uses and a positive disposition towards mathematics.

### Assessment

Two terminal Leaving Certificate examination papers, both 2.5hours

### 5th Year

 Higher Level Ordinary Level Term 1 Algebra Coordinate Geometry of the Line Functions and Graphing Constructions and Enlargements Term 1 Area & Volume Pattern (Sequences and Series) Algebra I Coordinate Geometry of the Line Term 2 & 3 Coordinate Geometry of the Circle Trigonometry Statistics Probability Term 2 & 3 Functions & Graphing Statistics Geometry Arithmetic Algebra II

### 6th Year

 Higher Level Ordinary Level Term 1 Indices and Logs Algebra Differential Calculus Geometry Complex Nos (& general Number Theory) Integration Term 1 Trigonometry Calculus Algebra Revision Complex Nos (& general Number Theory) Probability Term 2 & 3 Pattern: Sequences and Series including financial applications Induction & Proof by Contradiction Arithmetic Trigonometry II: identities, compound angle formulae and proofs. Review of material, completion of any outstanding material and working on sample exam questions. Term 2 & 3 Coordinate Geometry Circle Geometry Indices  Constructions  Review of material, completion of any outstanding material and working on sample exam questions.