G3 Additional Mathematics course check

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Learning goals

Classify stationary points using justified derivative tests
Apply the chain rule to composite functions
Apply product and quotient differentiation rules
Find antiderivatives within the permitted scope
Evaluate definite integrals
Differentiate within the permitted function scope
Decompose appropriate rational expressions into partial fractions
Divide and factor polynomials using remainder and factor theorems
Use binomial expansions and interpret their terms
Find and interpret a normal to a curve
Find and interpret a tangent to a curve
Formulate, use and interpret a mathematical model
Relate a definite integral to area under a curve
Interpret a derivative as gradient or rate of change
Use quadratic structure and discriminants to reason about roots
Relate definite integrals to signed area and geometric area
Model and interpret exponential and logarithmic relationships
Construct a geometric argument or proof
Reason about congruence, similarity and scale factors
Interpret and draw graphs of functions
Interpret and graph trigonometric functions
Relate connected rates of change
Solve inequalities and represent their solution sets
Model and solve an optimisation problem
Solve simultaneous equations by justified methods
Solve trigonometric equations within stated intervals
Reason and calculate using coordinate geometry
Use logarithm laws with domain conditions
Manipulate surds and rationalise denominators
Transform and justify trigonometric identities