Learning Outcomes

• A1 Determining a composite function
• A2 Completing the square in a quadratic expression
• A3 Identifying or sketching a function after a transformation
• A4 Determining f^-1 (x) of functions
• A5 Sketch f'(x) given the graph of y = f(x)
• A6 Determining and using a recurrence relation
• A7 Finding and interpreting the limit of a sequence, where it exists
• A8 Solve quadratic inequalities
• A9 Use the discriminant
• A10 Factorising a cubic or quartic polynomial expression
• A11 Solving a cubic or quartic polynomial equation
• A12 Finding the coordinates of the point(s) of the intersection of a straight line and a curve or of two curves
• A13 Simplifying a numerical expression using the laws of logarithms and exponents
• A14 Using the laws of logarithms and exponents
• A15 Solving logarithmic and exponential equations
• A16 Solve equations involving y = ax^b and y = ab^x
• A17 Use a straight line graph to confirm relationships of the form y = ax^b and y = ab^x
• A18 Model mathematically situations involving the logarithmic or exponential function
• A19 Sketching the inverse of a logarithmic or an exponential function

Learning Outcomes

• C1 Differentiating an algebraic function
• C2 Use differentiation to find the equation of a tangent to a curve at a given point
• C3 Determining where a function is strictly increasing/decreasing
• C4 Use stationary points to sketch graphs
• C5 Differentiate ksin(x) and kcos(x)
• C6 Differentiating a composite function using the chain rule
• C7 Determining the optimal solution for a given problem
• C8 Solving problems using rate of change
• C9 Integrating an algebraic function
• C10 Integrating functions of form f(x)=(x + q)ⁿ n ≠-1
• C11 Integrating ksin(x) and kcos(x)
• C12 Integrating functions of form f(x)=(px + q)ⁿ n ≠-1
• C13 Integrate psin(qx+r) and pcos(qx+r)
• C14 Solve differential eqns of form dy/dx=f(x)
• C15 Calculating definite integrals of functions
• C16 Finding the area between a curve and the x-axis
• C17 Finding the area between a straight line and a curve or two curves
• C18 Determine and use a function from a given rate of change and initial conditions

Learning Outcomes

• G1 Finding equations of parallel and perpendicular ines
• G2 Use m = tanθ
• G3 Use properties of medians, altitudes and perpendicular bisectors
• G4 Determine whether or not two lines are perpendicular
• G5 Determining and using the equation of a circle
• G6 Using properties of tangency
• G7 Determining the intersection of circles or a line and a circle
• G8 Determining the resultant of vector pathways in three dimensions
• G9 Working with collinearity
• G10 Determining the coordinates of an internal division point of a line
• G11 Evaluate a scalar product and determine the angle between two vectors
• G12 Use the scalar product
• G13 Use unit vectors i, j, k

• T1 Solving trigonometric equations in degrees or radians
• T2 Application of the addition or double angle formulae
• T3 Application of trigonometric identities
• T4 Converting acos x± bsin x to k cos(x ±α) or k sin(x ±α, k > 0

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