Strand 4 Leaving Certificate Higher Level Algebra - Revised
Enhance your mathematical knowledge from Algebra to Numbers
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Algebra is the natural language and the lifeblood of Mathematics and perfectly links between number, trigonometry, geometry and functions. It would be impossible to solve or even formulate real-world problems without algebraic notation.
Firstly, students are introduced to representing numbers with letters and then they move on to look at how to convert problems into equations which can be solved by various well-known techniques in algebra.
Students are taught how to solve quadratic, cubic and simultaneous equations and then they expand their knowledge to the solutions of inequalities. Using trial and error to search for roots and using synthetic division is covered in this strand.Start Course Now
Having completed this course students will be able to:
- Recognize how to factorise quadratics
- Identify how to expand brackets using both the grid and FOIL methods
- Discuss and define binomial Expansion
- Recognize how to solve linear equations that contain fractions
- Recognize how to solve quadratic equations, using formula and graphics
- Recognize how to solve simultaneous equations
- Identify how to solve logarithmic and exponential equations
- Recognize how to solve Quadratic inequalities using the Graphical Method
- Recognize how to solve Quadratic inequalities using three different methods
- Define Rational Inequalities and recognize how to solve them
- Identify how to work out and calculate modulus inequalities and functions algebraically and graphically
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