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YEAR 10 WITHIN LESSONTaught in LessonYEAR 10 LUNCH TIME CLASSTaught at Lunch-Time
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ChapterTopicSparx CodesLesson Outcome ChapterTopicLesson Outcome
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HT1Chapter 1
Algebraic manipulation		Simplifying algebraic fractions U103 U437 U294 (GCSE)Simplify algebraic expressions involving algebraic fractions HT1Review/Drop-In Sessions

Each session will have 3-4 exam questions that pupils can attempt if they attend.
Pupils can also use this time to consult teachers about anything that they covered in lesson.
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Simplifying expressions containing square rootsSimplifying expressions involving square roots
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Chapter 3
Applications of equations and inequalities in one variable		Applications of equations Linear: U325, U870, U505
Quadratic: U228, U960, U589, U665, U150, U601
Simultaneous: U760, U757, U547, U836, U875
(GCSE)		Set up and solve problems leading to linear , quadratic and cubic equations in one unknown and to simultaneous equations in 2 unknowns
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Inequalities U759, U738, U145, U337
(GCSE)		Manipulate inequalities
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Graphical inequalitiesU747, U133
(GCSE)		Set up and solve linear and quadratic inequalities algebraically and graphically
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Chapter 4
Sequences and recurrence relationships		Sequence and recurrence relationships Understand and use notation of recurrence relationships to describe and determine sequences
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HT2Modelling Recurrence relationsUse recurrence relationships in modelling HT2
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Chapter 2
Polynomials, functions and equations		Addition and subtraction of polynomials https://www.youtube.com/watch?v=gbKxGxQN56kAdd and subtract polynomials
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Multiplication of polynomials https://www.youtube.com/watch?v=Nw9vxiR9wXUMultiply polynomials
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Division of polynomialsDivide polynomials
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The factor theorem P694 (AQA Level 2 Further Maths)Find linear factors of a polynomial
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Completing the square Complete the square of a quadratic polynomial
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HT3Chapter 14
Differentiation 		Differentiation P486 (AQA Level 2 Further Maths)Differentiate kxn where n is a positive integer or 0 , and the sum of such functions HT3
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The gradient of a curve P750 (AQA Level 2 Further Maths)Know that the gradient function gives the gradient of a curve and measures the rate of change of y with x
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Gradient functionP750 (AQA Level 2 Further Maths)Know that the gradient of the function is the gradient of the tangent at that point
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Tangents & normalP824 (AQA Level 2 Further Maths)Find the equation of the tangent and normal at any point on a curve
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Stationary points P511 (AQA Level 2 Further Maths)Use differentiation to find stationary points on a curve
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HT4P511 (AQA Level 2 Further Maths)Determine the nature of a stationary point HT4
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P850 (AQA Level 2 Further Maths)Sketch the graph with known stationary points
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PIP1
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PIP 1 FEEDBACK
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HT5Chapter 15
Integration 		The rule for integrating xn where n is a positive integerIntegrationIntegrate kxn where n is a positive integer or 0 and the sum of each functions HT5
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Definite integrals Definite integrals
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Area between a curve and the x-axis Area under a curve
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Area below thew x-axis Area below x axisFind the area between a curve, two coodinates and the x-axis
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The area between 2 curvesArea between two curvesFind the area between 2 curves
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HT6PIP 2HT6
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PIP2 FEEDBACK
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Chapter 10
Permutations & Combinations 		Probability diagramsTwo Way Tables: U981
Tree diagrams: U558, U729
Venn diagrams: U476, U748
(GCSE)		Construct and use tree diagrams , two way tables ,Venn diagrams to enumerate outcomes (not taught as covered in GCSE Chpt 10)Chapter 5
Points, lines and circles		The line joining 2 points Coordinate geometryCalculate the distance between two points. Calculate the midpoint of a line segment.
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Factorials and the product ruleP784 (AQA Level 2 Further Maths)Use the product rule for counting numbers of outcomes of combined events The coordinate geometry of circles Equation of a circleKnow and use the equation of a circle (x -a)2 + (y - b)2 = r2 where (a,b) is the centre and r is the radius of the circle
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Permutations PermutationsEnumerate the number of ways of obtaining an ordered linear subset (permutation)of r elements from a set of n distinct objectsChapter 16
Application to kinematics 		Motion in a straight line SUVAT
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Combinations CombinationsEnumerate the number of ways of obtaining an unordered subset (combination of r elements from a set of n distinct objectsAcceleration due to gravity Kinematics Differentiation
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Solve problems about outcomes, including problems in the context of probability Finding displacement from velocity and velocity from acceleration Kinematics IntegrationUse differentiation and integration with respect to time to solve simple problems involving variable acceleration
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YEAR 11 WITHIN LESSONTaught in LessonYEAR 11 LUNCH TIME CLASSTaught at Lunch-Time
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ChapterTopicLesson Outcome ChapterTopicLesson Outcome
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HT1Chapter 12
Exponentials and logarithhms		Properties of the exponential functionExponential functions and graphsKnow and use the function kax and its graph where a is positive HT1Chapter 6
Graphs		Linear and polynomials functions Sketching polynomialsSketch and plot linear and polynomial functions
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LogarithmsLogarithms 1Know and use the definition of log ax as the inverse of axTrigonometric and exponential functions Sketch and plot trigonometric and exponential functions
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Law of logarithms Logarithms 2Understand and use the law of logarithmsChapter 8
Trigonometric functions 		Trigonometric functions for angles of any size Trigonometric functions for angles of any sizeUse the definitions of sin θ ,cos θ and tan θ for any angle and their graphs
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Reduction to linear form Reduction to linear form 1Convert equations of the form y= kax and y=kxn to a linear form using logarithms The sine and cosine rules and proof Solving equations using trig identitiesKnow the sine rule and cosine rules and be able to apply them , including the ambiguous case for sine
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Reduction to linear form 2Estimate values of k and a (or k and n) from graphs Identities involving sin θ ,cos θ and tan θKnow and use the identity tan θ= sinθ/ cos θ
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Equation involving exponentials Solve equations of the form ax = b for a>0Using trigonometrical identities to solve equations Know and use the identity sin2 θ +cos2 θ= 1
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Modelling Use exponentials and logarithms in problems involving exponential growth and decay Chapter 9
Application of trigonometry 		Application in modelling U541, U170 (GCSE)Apply Pythagoras’ Theorem and trigonometry to 2 and 3 dimensional problems
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HT2Chapter 7
Linear inequalities in two variables 		Illustrating linear inequalities in 2 variables Graphing inequalitiesIllustrate linear inequalities in 2 variablesHT2Chapter 13
Numerical methods		Locating a root of an equation Locating roots with sign change ruleSolve equations approximately by considering the change of sign
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Using inequalities for problem solving Graphing inequalitiesExpress real situations in terms of linear inequalities Improving a root IterationRecognise when these numerical methods may fail
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Linear programming Linear programmingUse graphs of linear inequalities to solve 2- dimensional maximisation and minimisation problems Iterative sequencesEstimating gradient of curvesUse a simple iterative method to solve equations approximately
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Understand and know the definition of objective function and be able to find to find it in 2 dimensional cases Gradients of tangentsEstimating area under curve 1Use a chord to estimate gradient of a tangent to a curve at a point
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PIP1Estimating area under curve 2Recognise how to improve an estimate for gradient of a curve at a point
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HT3PIP 1 FEEDBACKHT3Area from rectangles Use rectangular strips to estimate the area between the area between a curve and the x-axis
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Chapter 11
The Binomial Distribution		Binomial expansion Binomial ExpansionUnderstand and be able to apply the binomial expansion of (a+b)n where n is a positive integer Area under a curveUse the trapezium to estiamate the area between the a curve and the xaxis
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Binomial distribution Binomial DistributionUse the binomial distribution to enumerate outcomes Applications of numerical methodsApply numerical methods in context where appropriate
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