Key Stage 4

### Year 9 : Higher

 Autumn 1 Autumn 2 Unit 1 : Number Multiplying and dividing by a decimal HCF &LCM Rounding and estimation Limits and error intervals Powers including negative and fractional powers Standard form Unit 4 : Angles Polygons Parallel lines Bearings Scale drawings Angle proofs Unit 2 : Expressions Rules of indices Expanding brackets including triple brackets Factorisation into 1 or 2 brackets Substitution Unit 5 : Equations Linear equations Changing the subject Linear inequalities Quadratic equations by factorisation Quadratic formula Linear simultaneous equations Solving problems by constructing equations Unit 3 : Statistics Pie charts Stem and leaf diagrams Scatter Graphs Frequency polygons Time series Misleading diagrams Averages and range including grouped frequency tables Interquartile range Comparing data

 Spring  1 Spring 2 Unit 6 : Fractions and percentages Addition, subtraction, multiplication and division of fractions and mixed numbers including negative fractions and mixed numbers Reciprocals BIDMAS with fractions Simple algebraic fractions Changing between fractions and decimals including simple recurring decimals Calculating the new amount after a percentage change Simple interest Compound interest Expressing one quantity as a percentage of another Percentage profit / loss Finding the original amount Changing between fractions, decimals and percentages Ordering fractions, decimals and percentages Unit 8 : Perimeter, area and pressure Triangles Parallelograms Trapeziums Circumference and area of a circle Length of arc Area of a sector Composite shapes Problem solving with perimeter and area Algebraic perimeter and area Unit 7 : Probability Sample space diagrams two way tables Frequency trees Venn diagrams including union and intersection Bias Relative frequency Tree diagrams for independent events Unit 9 : Graphs Drawing straight line graphs Calculating the gradient Finding the equation of a line Graphical solution of simultaneous equations Quadratic graphs Cubic Graphs Reciprocal Graphs Distance time graphs Roots from a graph Summer  1 Summer 2 Year 9 Exams in Maths Unit 11 : Pythagoras and trigonometry Calculating a side using Pythagoras 3,4,5 and 5, 12, 13 triangles Problem solving with Pythagoras Using sin, cos and tan to calculate angles and sides in right angled triangles Angles of elevation and depression Problem solving with trigonometry Unit 10 : Ratio and proportion Writing a ratio in the form 1 : n or n : 1 Comparing ratios Combining ratios Dividing ratios Problem solving with ratio Unitary method Currency Best buys Solving problems for direct and inverse proportion Drawing a graph for direct proportion Unit 12 : Volume and surface area Surface area of prisms Surface area of pyramids Surface area of cones Volume of a prism Volume of a pyramid Volume of a cone Density Problem solving with surface area and volume

### Year 9 Foundation

 Autumn 1 Autumn 2 Unit 1 : Number Place value Ordering Formal methods for addition, subtraction, multiplication and division including decimals BIDMAS Place value calculations Factors, multiples, primes, HCF & LCM Expressing a number as a product of its prime factors Negative numbers Rounding and estimation including decimal places and significant figures Unit 4 : Angles Using a protractor Calculating angles on a line, around a point and vertically opposite Angles in triangles and quadrilaterals Angles on parallel lines Bearings Polygons Unit 2 : Expressions and powers Simplifying expressions Rules of indices Expanding single and double brackets Factorisation into a single bracket substitution Unit 5 : Equations, formulae and inequalities Linear equations Linear inequalities including number lines Formulae Unit 3 : Statistics Pictograms Bar charts Pie charts Stem and leaf diagrams Scatter graphs Frequency polygons Time series graphs Averages and range including frequency tables Comparing sets of data
 Spring  1 Spring 2 Unit 6 : Fractions and percentages Simplifying and equivalent fractions Ordering fractions, decimals and percentages Addition, subtraction, multiplication and division of fractions and mixed numbers Changing between fractions, decimals and percentages Percentages of an amount Calculating the new amount after a percentage change Problem solving Unit 8 : Perimeter, area and pressure Calculating perimeter Area of rectangles, squares, triangles, parallelograms, trapeziums and composite shapes Circumference and area of a circle Semi-circles and quarter circles Pressure Unit 7 ; Probability Probability scales Writing probabilities Listing outcomes Sample space diagrams Two way tables Frequency trees Venn diagrams Expectation Filling in gaps on a tree diagram Unit 9 : Graphs Coordinates Midpoints Drawing straight line graphs Calculating the gradient Finding the equation of a line Simple quadratic, cubic and reciprocal graphs Summer  1 Summer 2 Year 9 Exams in Maths Unit 11 : Pythagoras and trigonometry Calculating a side using Pythagoras Problem solving with Pythagoras Unit 10 : Ratio and proportion Ratio notation Simplifying ratio Dividing in a ratio Comparing ratios Problem solving with ratio Recipes Unitary method Problem solving with direct and inverse proportion Currency Best buys Unit 12 : Time and finance Distance time graphs Average speed Timetables Bills Meter readings Unit 13 : Volume and surface area Naming solids Volume of cubes, cuboids and prisms Nets Surface area of cubes and cuboids Density

### Year 10 Higher

 Autumn 1 Autumn 2 Unit 1: Proportion To set up equations for direct and inverse proportion Problem solving with proportion and ratio Identifying the type of proportion from a graph Unit 3 : Graphs Straight line graphs Finding the equation of a line Parallel and perpendicular lines Distance time graphs Velocity time graphs Interpreting gradients Unit 2 : Transformations, constructions and loci Reflections, rotations, translations and enlargements including negative scale factors Describing transformations Combining transformations Constructing triangles, perpendicular bisectors, angle bisectors and angles of 600, 450and 300 Plans and elevations Loci Unit 4 : Pythagoras & trigonometry Problem solving with Pythagoras Pythagoras in 3 dimensions Calculating angles and sides in right angled triangles using SOHCAHTOA Sin, cos and tan without a calculator Upper and lower bounds with trigonometry Angles of elevation and depression Bearings Trigonometry in 3 dimensions
 Spring 1 Spring 2 Unit 5 : Probability Product rule for counting Expectation Sample space diagrams Tree diagrams including dependent events Two way tables Venn diagrams Set notation Year 10 Exams Unit 6 Statistics Averages and range from grouped frequency tables Cumulative frequency Interquartile range Box plots Frequency polygons Histograms Unit 7 : Graphs Drawing linear graphs, quadratic graphs, cubic graphs, reciprocal graphs and exponential graphs Equation of a circle Recognising graphs by their shape
 Summer 1 Summer 2 Unit 8 : Algebraic fractions Factorisation Solving quadratic equations Simplifying algebraic fractions Addition, subtraction, multiplication and division of algebraic fractions Solving equations that contain algebraic fractions Changing the subject of a formula Unit 10 : Similar Shapes Finding missing measurements on similar shapes Proving that 2 triangles are similar Calculating missing lengths, areas and volumes for similar shapes and solids Unit 9 Simultaneous equations Solving linear simultaneous equations by elimination Solving simultaneous equations graphically Solving simultaneous equations by substitution including where one equation is quadratic Unit 11 Functions Substitution Inverse functions Composite functions Unit 12 : Ratio Solving problems involving ratio including the use of algebra Unit 13 : Congruence Properties of quadrilaterals Proving that 2 shapes are congruent Unit 14 : Circle Theorems Applying circle theorems to calculate angles Proving circle theorems

### Year 10 Foundation

 Autumn 1 Autumn 2 Unit 1 : Ratio and proportion Simplifying ratio Dividing in a ratio Problem solving with ratio Unitary Method Recipes Best buys Problem solving with direct and inverse proportion Graphs of proportion Unit 3 : Graphs Drawing straight line graphs Midpoints Finding the equation of a line Distance time graphs Real life graphs Average speed Unit 2 : Transformations Translations Reflections Rotations Enlargements Describing transformations Combining transformations Addition and subtraction of column vectors Multiplication of a vector by a scalar Unit 4 : Pythagoras and trigonometry Pythagoras in right angled triangles Trigonometry in right angled triangles Problem solving

 Spring 1 Spring 2 Unit 5 : Probability Writing probabilities 2 way tables Sample space diagrams Venn diagrams Sets Tree diagrams Year 10 Exams Unit 6 : Simultaneous Equations Linear equations Solving simultaneous equations by elimination Solving simultaneous equations graphically Unit 7 : Factions, indices and standard form Addition, subtraction, multiplication and division of fractions and mixed numbers Laws of indices Standard form

 Summer 1 Summer 2 Unit 8 : Percentages Finding a percentage of an amount Expressing one quantity as a percentage of another Finding the new amount after a percentage change Finding the original amount Profit and loss Simple interest Compound interest Problem solving Unit 10 Statistics Scatter Graphs Frequency Polygons Averages and range including grouped frequency tables Unit 9 : Perimeter, area and volume Problem solving Calculating the perimeter and area of sectors Volume and surface area of a cylinder Volume of cones, spheres and pyramids Surface area of cones, spheres and pyramids Pressure Density Unit 11 Constructions Constructing triangles Bisecting angles Perpendicular bisectors Loci

### Y11 HIGHER

 Autumn 1 Autumn 2 Unit 1 : Inequalities Solving linear inequalities including double inequalities Solving quadratic inequalities Representing a solution on a number line Inequalities and regions Unit 4 : Trigonometry Problem solving with Pythagoras Problem solving with SOHCAHTOA Sine rule Cosine rule Area of a triangle Unit 2 : limits Error intervals Solving problems involving limits including giving an answer to an appropriate degree of accuracy Mocks Unit 3 : Graphs Shapes of graphs Drawing linear, quadratic, cubic, reciprocal and exponential graphs Equation of a circle Drawing graphs of sin, cos and tan Completing the square Transformation of graphs Turning points Gradient of curves Real life graphs Distance time graphs Velocity time graphs Area under a graph Equation of a tangent
 Spring 1 Spring 2 / Summer Unit 5 : Iteration Rearranging equations Iteration Weaknesses identified by the mocks and past papers Unit 6: Vectors Column vectors Magnitude Solving problems with vectors Proving that 2 lines are parallel using vectors Proving that points are collinear using vectors Unit 7 : Proof Odd and even proof Circle theorems proof Weaknesses identified by the mocks and past papers

### Y11 FOUNDATION

 Autumn 1 Autumn 2 Unit 1 : Equations Expanding brackets Factorisation Linear equations Quadratic equations Using equations to solve problems Unit 4 : Pythagoras and trigonometry Using Pythagoras to calculate sides Using trigonometry to calculate sides and angles Bearings Exact values of sin, cos and tan Problem solving Unit 2 : Graphs Drawing straight line graphs, quadratic, cubic and reciprocal graphs Solving simultaneous equations graphically Finding the equation of a line Mocks Unit 3 : Proportion Problem solving with proportion Unitary method Best value Currency conversions

 Spring 1 Spring 2 Unit 5 : Vectors Column vectors Finding the resultant vector Geometric vectors Weaknesses identified by the mocks and past papers Unit 6 : Simultaneous Equations Solving simultaneous equations by elimination Unit 7 : Volume and area Calculating the area of triangles, parallelograms, trapeziums and composite shapes Circumference and area of a circle Area of a sector and length of arc Volume of prisms, pyramids, cones and spheres Nets Surface area Weaknesses identified by the mocks and past papers