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Year 8
Factor simple quadratic trinomials
Solve simple quadratic equations of the form: (ax+b)^2 = c
Solving simple quadratic equations
Graph a parabola using its intercepts with the coordinate axes
Year 9
Solve equations by use of factors
Solve equations of form: (ax + b) ^2 = c
Solve equations by completion of the square
Solve quadratic equations where algebraic simplification is needed initially
Solve equations leading to a quadratic equation where restrictions on the pronumeral exist
Solve problems involving use of quadratic equations
Solve equations reducible to quadratics
Graph quadratic functions by means of: plotting sets of points, finding points of intersection with axes and finding the equation of axis of symmetry and the coordinates of the vertex
Year 10
Solve equations reducible to quadratics
Solve quadratic inequalities by using appropriate graphs
Use the discriminant to identify the type of roots
Use the discriminant to solve problems involving types of roots
Use the discriminant to solve problems involving positive and negative definite expressions
Construct a quadratic equation given its roots
Find relationships between roots and coefficients of a quadratic equation
Find relationships between roots and coefficients of a cubic equation
Year 11
Solve equations by factorising and completing the square
Finding roots of quadratic equation using the quadratic formula
Solve quadratic inequalities by the use of an appropriate graph
Establish the relation between roots and coefficients
Use the discriminant to determine types of roots
Identify types of quadratic expressions: positive definite, negative definite, indefinite
Solve equations reducible to quadratic equations
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FAQs
Find relationships between roots and coefficients of a cubic equation
Example 1.
(i) -5/1 = -5
(ii) 2/1 = 2
(iii) 3/1 = 3