8365 learning checklist

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Specification clauses and resources
Reviewed	Topic and clause	Teaching	Selected practice	Assessment
Reviewed	Number foundations core · 1.1	No lesson yet	No questions yet	Select this course to see available tests Make a practice test
Reviewed	Product rule for counting core · 1.2	Counting with restrictions	Product rule with no repetition	Select this course to see available tests Make a practice test
Reviewed	Surds and rationalising denominators core · 1.3	Surds and exact answers Lesson and examples	Rationalise a binomial denominator Combine and simplify surds Rationalise a binomial surd denominator	Select this course to see available tests Make a practice test
Reviewed	Algebraic manipulation core · 2.1	No lesson yet	No questions yet	Select this course to see available tests Make a practice test
Reviewed	Function notation core · 2.2	Function notation and evaluation Lesson and examples	Evaluate a rational function	Select this course to see available tests Make a practice test
Reviewed	Domain and range core · 2.3	Domain and range Choosing an inverse branch	Range on a restricted quadratic domain	Select this course to see available tests Make a practice test
Reviewed	Composite functions core · 2.4	Composite functions Lesson and examples	Composite functions	Select this course to see available tests Make a practice test
Reviewed	Inverse functions core · 2.5	Inverse functions Choosing an inverse branch Lesson and examples	Inverse functions Restrict a quadratic inverse Evaluate an inverse on its permitted branch Find a quadratic inverse with its domain	Select this course to see available tests Make a practice test
Reviewed	Expanding and simplifying core · 2.6	Expanding and factorising	No questions yet	Select this course to see available tests Make a practice test
Reviewed	Positive integer binomial expansions core · 2.7	No lesson yet	Binomial coefficients	Select this course to see available tests Make a practice test
Reviewed	Factorising expressions core · 2.8	No lesson yet	No questions yet	Select this course to see available tests Make a practice test
Reviewed	Algebraic fractions core · 2.9	Algebraic fractions	Add rational expressions Subtract rational expressions Multiply rational expressions Divide rational expressions	Select this course to see available tests Make a practice test
Reviewed	Rearranging formulae core · 2.10	Rearranging formulae	Rearrange a reciprocal formula	Select this course to see available tests Make a practice test
Reviewed	Factor theorem core · 2.11	The factor theorem	Use the factor theorem Divide polynomials Complete factorisation of a cubic	Select this course to see available tests Make a practice test
Reviewed	Completing the square core · 2.12	Completing the square Lesson and examples	Complete the square	Select this course to see available tests Make a practice test
Reviewed	Graphs and piecewise functions core · 2.13	Sketching functions Piecewise graphs and endpoints Exponential graphs and parameters	No questions yet	Select this course to see available tests Make a practice test
Reviewed	Linear and quadratic equations core · 2.14	Solving quadratic equations Lesson and examples	Solve a linear equation Quadratic equations	Select this course to see available tests Make a practice test
Reviewed	Two simultaneous equations core · 2.15	Simultaneous linear and quadratic equations	Simultaneous equations Non-linear simultaneous equations Line and parabola intersections	Select this course to see available tests Make a practice test
Reviewed	Three simultaneous linear equations core · 2.16	Three simultaneous linear equations	Three simultaneous linear equations	Select this course to see available tests Make a practice test
Reviewed	Linear and quadratic inequalities core · 2.17	Quadratic inequalities Inequalities and interval notation	Quadratic inequality interval endpoints Solve a linear inequality with a sign reversal Solve a quadratic inequality in interval notation	Select this course to see available tests Make a practice test
Reviewed	Fractional and negative indices core · 2.18	Fractional and negative indices	Solve an equation with a negative fractional index	Select this course to see available tests Make a practice test
Reviewed	Algebraic proof core · 2.19	Algebraic proof and counterexamples Proving divisibility with consecutive integers	Algebraic quotient in a divisibility argument	Select this course to see available tests Make a practice test
Reviewed	Sequence terms and limiting values core · 2.20	Sequence terms and limiting values	Limit of a rational nth term	Select this course to see available tests Make a practice test
Reviewed	Linear sequence nth terms core · 2.21	Linear sequence nth terms Lesson and examples	Arithmetic sequences	Select this course to see available tests Make a practice test
Reviewed	Quadratic sequence nth terms core · 2.22	Quadratic sequences	Find a quadratic nth term	Select this course to see available tests Make a practice test
Reviewed	Gradient core · 3.1	No lesson yet	No questions yet	Select this course to see available tests Make a practice test
Reviewed	Parallel and perpendicular lines core · 3.2	No lesson yet	No questions yet	Select this course to see available tests Make a practice test
Reviewed	Distance between points core · 3.3	Pythagoras in three dimensions Exact distances between coordinates	Distance between points Exact distance between general coordinates	Select this course to see available tests Make a practice test
Reviewed	Midpoints and section ratios core · 3.4	Midpoints and section ratios	Divide a line in a ratio	Select this course to see available tests Make a practice test
Reviewed	Straight line equations core · 3.5	Straight lines and gradients Lesson and examples	Line through two points Line equation in equivalent forms	Select this course to see available tests Make a practice test
Reviewed	Drawing straight lines core · 3.6	No lesson yet	No questions yet	Select this course to see available tests Make a practice test
Reviewed	Circles centred at the origin core · 3.7	Circles and tangents Circle theorems and angle reasoning Proving equal tangent lengths	Chord length from its distance to the centre	Select this course to see available tests Make a practice test
Reviewed	General circle equations core · 3.8	Circles and tangents	Centre and radius of a circle	Select this course to see available tests Make a practice test
Reviewed	Tangents to circles core · 3.9	Circles and tangents	Tangent to a circle	Select this course to see available tests Make a practice test
Reviewed	Gradient functions and rate of change core · 4.1	No lesson yet	No questions yet	Select this course to see available tests Make a practice test
Reviewed	Tangent gradients core · 4.2	No lesson yet	No questions yet	Select this course to see available tests Make a practice test
Reviewed	Differentiating integer powers core · 4.3	Differentiating powers Lesson and examples	Differentiate a polynomial Gradient with a negative integer power	Select this course to see available tests Make a practice test
Reviewed	Tangents and normals core · 4.4	Tangents and normals Lesson and examples	Equation of a tangent Equation of a normal	Select this course to see available tests Make a practice test
Reviewed	Increasing and decreasing functions core · 4.5	Increasing and decreasing intervals Sketching a curve from its derivative	Interval of increase for a quadratic	Select this course to see available tests Make a practice test
Reviewed	Second derivatives core · 4.6	Stationary points	Second derivative of a polynomial	Select this course to see available tests Make a practice test
Reviewed	Classifying stationary points core · 4.7	Stationary points Increasing and decreasing intervals Sketching a curve from its derivative	Find a stationary point	Select this course to see available tests Make a practice test
Reviewed	Optimisation core · 4.8	Optimisation with a stated domain	Optimise the area of a rectangle	Select this course to see available tests Make a practice test
Reviewed	Curve sketches from stationary points core · 4.9	Sketching a curve from its derivative	No questions yet	Select this course to see available tests Make a practice test
Reviewed	Matrix multiplication core · 5.1	Matrix multiplication Lesson and examples	Multiply two matrices	Select this course to see available tests Make a practice test
Reviewed	Identity matrices core · 5.2	The identity matrix	No questions yet	Select this course to see available tests Make a practice test
Reviewed	Transforming the unit square core · 5.3	Matrix transformations Lesson and examples	Transform a point Fixed points of a reflection	Select this course to see available tests Make a practice test
Reviewed	Combining transformations core · 5.4	Combining matrix transformations Lesson and examples	Combine a reflection and a rotation	Select this course to see available tests Make a practice test
Reviewed	Area, volume, angles and circle theorems core · 6.1	Area, volume and angle facts Circle theorems and angle reasoning Proving equal tangent lengths	Angles in a cyclic quadrilateral Exact circle area with pi	Select this course to see available tests Make a practice test
Reviewed	Geometric proof core · 6.2	Writing a geometric proof Proving equal tangent lengths	No questions yet	Select this course to see available tests Make a practice test
Reviewed	Sine rule, cosine rule and triangle area core · 6.3	Sine rule, cosine rule and triangle area The two possible sine-rule angles Lesson and examples	Triangle area from an included angle Cosine rule with an exact side Sine rule with an exact squared side	Select this course to see available tests Make a practice test
Reviewed	Pythagoras in two and three dimensions core · 6.4	Pythagoras in three dimensions	Space diagonal of a cuboid	Select this course to see available tests Make a practice test
Reviewed	Trigonometry in three dimensions core · 6.5	Angles between lines and planes Angles between two planes	Angle between a line and a plane	Select this course to see available tests Make a practice test
Reviewed	Trigonometric graphs core · 6.6	Sketching sine, cosine and tangent	No questions yet	Select this course to see available tests Make a practice test
Reviewed	Trigonometric ratios around the circle core · 6.7	Trigonometric ratios in each quadrant	No questions yet	Select this course to see available tests Make a practice test
Reviewed	Exact trigonometric values core · 6.8	Exact trigonometric values	Exact squared trigonometric values Exact trigonometric values in all quadrants	Select this course to see available tests Make a practice test
Reviewed	Trigonometric identities core · 6.9	Trigonometric identities Identity proofs and permitted angles	Use trigonometric identities and the quadrant	Select this course to see available tests Make a practice test
Reviewed	Trigonometric equations in intervals core · 6.10	Trigonometric equations in intervals Identity proofs and permitted angles	Trigonometric equations in an interval A trigonometric equation using an identity	Select this course to see available tests Make a practice test