8.+Tangents+and+Derivatives+-+Standards

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 * =8. Tangents and Derivatives= || **Grove**|| **Pender** || **Fitzpat** || **J&C 3U** ||**Syllabus**||
 * 1	||	Can explain the difference between a quadratic equation and a quadratic function.	||		||	8A	||		||		||	9.1	||
 * 2	||	Can describe a strategy for sketching quadratic functions.	||	10.1	||	8A	||		||		||	9.1	||
 * 3	||	Can describe two methods to locate the axis of symmetry and the vertex of a quadratic functions (averaging the roots, using x=-b/2a).	||	10.1	||	8A	||		||		||	9.1	||
 * 4	||	Can describe the connection between the roots of an equation and the zeroes of the function graph.	||	10.1	||	8A	||	12.5	||		||	9.1	||
 * 5	||	Can find the maximum or minimum by completing the square or using the axis of symmetry.	||	10.1	||	8B/8E	||	12.3	||	15.7	||	9.3	||
 * 6	||	Can graph the family of functions y = a(x-α)(x-β).	||		||	8A	||		||		||	9.1	||
 * 7	||	Can explain the concept of quadratic inequalities using a graph.	||	10.2	||	3A	||		||	15.2	||	9.1	||
 * 8	||	Can solve quadratic inequalities.	||	10.2	||	3A	||		||		||		||
 * 9	||	Can find the roots of a quadratic equation by factorisation and/or completing the square.	||		||	8B	||		||		||	9.2	||
 * 10	||	Can state and interpret the discriminant of a quadratic function.	||	10.3	||	8F	||		||	15.4	||	9.2	||
 * 11	||	Can describe the restrictions on the number of real roots for a quadratic equations.	||		||	8F	||		||		||		||
 * 12	||	Can classify quadratic expressions as positive definite, negative definite or indefinite and relate this to the discriminant and leading coefficient.	||	10.3	||	8G	||	12.8	||	15.8	||	9.3	||
 * 13	||	Can derive and use the relationship between the coefficients and the roots of a quadratic equation.	||	10.5	||	8H	||	12.7	||	15.6	||	9.2	||
 * 14	||	Can prove the conditions for the identity of two quadratic equations.	||	10.4	||	8I	||	12.10	||	15.9	||	9.3	||
 * 15	||	Can explain why there is only one quadratic equation that fits three given values.	||		||	8I	||		||		||	9.3	||
 * 16	||	Equations reducible to quadratics.	||	10.6	||	8D	||	12.6	||	15.10	||	9.4	||