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Topic Objectives Simplify algebraic expressions. Expand and factorise simple expressions. Ch.1 Algebra & Functions Use the laws of indices. Understand fractional and negative powers. Simplify surds and rationalise a denominator Assignment 1 % Grade Factorise simple quadratics. Factorise harder quadratics. Ch.2 Quadratics Write a quadratic in completed square form. Solve quadratic equations by factorising, completing the square and using the quadratic formula. Use the discriminant of a quadratic to solve problems. Sketch quadratics, marking key features. Assignment 2 Ch.3 Equations and Inequalities % Grade Solve simultaneous equations by elimination (GCSE method) Solve by substitution a pair of simultaneous equations of which one is linear and one is quadratic. Solve linear inequalities Solve quadratic inequalities. Assignment 3 % Grade Sketch cubic graphs. Sketch reciprocal graphs and show asymptotes. Ch.4 Sketching curves Use intersections of curves to solve equations. Transform graphs using f(x)+a, f(x)-a, f(x+a), f(x-a). Transform graphs using af(x), f(ax). Assignment 4 % Grade Topic Ch.5 Coordinate geometry Objectives Find the gradient and intercept of straight lines using y=mx+c and ax+by+c=0. Find the length, gradient and mid-point of a line-segment, given the coordinates of its endpoints. Find the equation of a straight line given sufficient information (e.g. the coordinates of two points on it, or one point on it and its gradient); Understand and use the relationships between the gradients of parallel and perpendicular lines. Assignment 5 % Grade Use the nth term rules for sequences. Use recurrence relations. Ch.6 Sequences & Series Solve simple problems using arithmetic sequences. Find the sum of an arithmetic series. Use the sigma notation. Solve word problems using arithmetic sequences. Assignment 6 % Grade Understand that the gradient of a curve is not constant. Differentiate simple expressions. Ch.7 Differentiation. Differentiate more complex expressions using rules of indices. Use dy/dx, d²y/dx², f(x), f’(x), f’’(x) notation. Apply differentiation to gradients, tangents and normals. Apply differentiation to rates of change. Assignment 7 % Grade Understand that integration is the reverse of differentiation. Ch.8 Integration. Integrate simple expressions. Integrate more complex expressions using rules of indices. Find the constant of integration using a given point. Assignment 8 % MOCK EXAM RESULT Grade % Grade Practice Papers Completed: FINAL EXAM RESULT % Grade