Introduction
Name: Ray O’Connor
Email: raymund.oconnor@corketb.ie
Required for Class and Assessments
– Scientific Calculator (eg. as used for Leaving Certificate)
– Geometry Set (pencil, ruler, eraser, compass, protractor, etc)
- Timetable 3 hours plus 1 hour extra support (this hour will also be used for assignments which will be run as in class open book type assessments).
- OneDrive app – Create a folder in OneDrive named Mathematics.
- Demo how to use OneDrive app on smartphone to photograph answer sheets for submission via Moodle.
- Microsoft Excel – useful for calculating Mean, Standard Deviation, drawing graphs, etc.
- Online graph simulator – click HERE
What is Mathematics? Mathematics is an area of knowledge that includes such topics as numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. Most mathematical activity involves the use of pure reason to discover or prove the properties of abstract objects, which consist of either abstractions from nature or—in modern mathematics—entities that are stipulated with certain properties, called axioms.
Geogebra software
IXL Leaving Certificate Maths
Useful website for Math simulations
2 Statistics
Video: https://youtu.be/esskJJF8pCc
Useful Data https://datatab.net/statistics-calculator/descriptive-statistics
Revision
IT – Excel (relative frequency)
Excel basics video
3 Probability
- Dependent Probability: https://www.khanacademy.org/math/ap-statistics/probability-ap/probability-multiplication-rule/v/introduction-to-dependent-probability
- Independent Probability: https://www.khanacademy.org/math/ap-statistics/probability-ap/probability-multiplication-rule/v/independent-events-2
4 Functions & Graphs
Cubic Functions – Solving Cubic Equations – Methods & Examples (storyofmathematics.com)
Revision
5 Linear Programming
Cartesian Plane – plottnig points (Geolocation on Google Maps) – find slope/distance/equation etc for (3,1) – (2, 4)
Geogebra to graph equations (linear/quadratic/cubic)
Coordinate Geometry – all formula available in the Maths Formula and Tables doc,
Graph lines and inequalities Exercises y=4x-2y=8
Video: Linear Programming
1 Mathematical Modelling
6 Differential Calculus
Differentiation
https://mathscholar.org/2019/02/simple-proofs-the-fundamental-theorem-of-calculus/
https://brilliant.org/ – free Maths courses – Fundamental Theorem of Calculus
Video – the concept of a limit explained
Integral Calculus
Integration
Using Integration to Calculate Area
Using Integration to Calculate Volume
Video
Rotating about Y-Axis to calculate volume – click HERE
Complex Numbers
De Moivre’s Theorem
Trigonometry
– if sinA= -0.8090 find two possible angles of A
- Video: https://youtu.be/9hAl0-_prww
Sample Exam Papers
PDF Files
Word Files
End of Year
Questionnaire – click here to complete short questionnaire (contact your teacher for link to online questionnaire)