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Transcript
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