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HL AA – Algebra

Learning Outcomes
 Find equations of horizontal and vertical straight lines Understand the the terms gradient and y-intercept. Find equations of diagonal straight lines. Factorise simple quadratic equations such as x2+bx+c Factorise simple quadratic equations such as ax2+bx+c where a>1. Solve simple quadratic equations such as x2+bx+c=0 Solve simple quadratic equations such as ax2+bx+c=0 where a>1. Solve quadratic equations by use of a GDC. Understand the term discriminant and how it is used to determine the number of roots of a quadratic. To be able to complete the square for a quadratic. To solve an equation from the completed the square form. Understand the relationship between quadratic graphs and the completed square format. Find minimum points and lines of symmetry from graphs of quadratics. Show simple numeric and algebraic proofs. Use of the notation for equality and identity. Write an algebraic fraction in linear terms. Solve simultaneous equations with 3 unknowns using a GDC. Solve simultaneous equations with 3 unknowns using row reduction for a unique solution. Solve simultaneous equations with 3 unknowns using row reduction, showing infinite and no solutions.