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Topic Numbers Fractions Year 7 Basic operations Order of operations Estimation Multiples Factors Prime Numbers Factor trees Index notation Square Numbers Square Roots Understanding Simplifying Improper/mixed Basic operations Mixed operations Powers and Square roots Decimals Percentages Basic operations Percentages Integers Number Line Positive Integers and zero Number Plane Basic operations Graphical representation of integers Algebra Using Rules Writing and finding formulas Substitution Problem solving Expressions and equations Like terms Year8 Year9 Quick Revision Long Division Year 10 Rational and Irrational Numbers Real Numbers Operations with Fractions Finite and recurring numbers Irrational Numbers Simplifying Surds Addition and Subtraction of Surds Multiplication and Division of Surds Writing surd fractions with a rational denominator* Basic Fraction / decimal operations Fractions to Decimals Decimals to Fractions Place value Comparing decimals Converting decimals to fractions Rounding off Basic operations Percentages % to fractions % to decimals Fractions to % Decimals to % % of an amount One amount as a % of another Finding a % of an amount using decimal numbers One amount as a % of another Applications Using Calculator Common Percentages Using Pronumerals Substitution with positive and negative numbers Working with brackets Simplifying expressions Basic operations with pronumerals Expanding brackets Factorising Using Pronumerals Worded questions Like terms Multiplication and Division Algebraic fractions Substitution and Formulas EXPANDING Expanding Single Brackets Expanding Two Brackets Expanding Pairs of Brackets Expanding – 3 brackets Factorising Common Factors Grouping 2and 2, 3 and 1, 1 and 3 DOPS Quadratic Trinomials Different Methods Setting up Brackets Coat hanger Cross Method Equations Inverse operations Building up expressions Backtracking Checking solutions Worded Problems What are indices? Power and Bases Multiplication and Division using indices Zero Index Raising a power to a power Indices and Exponential Functions Linear Graphs Quadratic Equations and Graphs Backtracking – emphasize reverse process of solving equations Keeping equations balanced Equations with pronumerals on both sides Checking solutions Worded problems Cartesian Plane Coordinates Plotting straight lines, parabolas. hyperbola Understanding that a graph is a collection of points following a rule. Plotting graphs General Equation of a straight line Sketching linear graphs using the gradient and y intercept method and the x and y intercept method Determining linear rule just from gradient Expanding Patterns More complicated expansions Simplifying algebraic fractions – addition, subtraction, multiplication and division Applications FACTORISING Highest Common Factor Grouping DOPS Quadratic Trinomials Mixed Factorising Simplifying Algebraic Fractions What is a linear equation? Multi step equations Solving equations with pronumerals on both sides of the equation Solving with brackets Problem Solving Solving linear inequations Rearranging Formulas Simultaneous Equations Substitution and Elimination Problem Solving Basic Laws Negative indices Square and cube roots Scientific Notation General Equation of a straight line Sketching linear graphs using the gradient and y intercept method and the x and y intercept method Determining linear rules Worded Problems Speed time Graphs Simultaneous Linear equations graphically What are quadratic equations? Solving quadratic equations Problem Solving Key features of the graphs of quadratic functions Plotting quadratic functions Sketching quadratic functions Turning Point Form Polynomial Form Completing the Square Basic operations with algebraic fractions Mixed factorisation Solving quadratic equations Solving more complex equations Solving inequations Algebraic Fractions Index Laws Negative Index Laws Fractional Indices Further use of index laws Exponential Functions and their graphs Modelling exponential growth and decay Problem Solving using equations Sketching graphs Finding linear equations Linear Modelling Sketching linear inequations Solving simultaneous inequations Speed, Time and Distance Problems Using the quadratic formula Finding solutions to quadratic equations by inspecting graphs Using the discriminant Sketching parabolas in turning point form and polynomial form Solving quadratic inequations Problem Solving Quadratics Simultaneous Equations with Quadratic and Linear Ratio and Rates Measurement Geometry Metric Units of length Reading scales and measuring length Converting units length Perimeter Area – rectangle, triangle Converting units of area Volume – rectangular prism Capacity Mass Time Rates and Speed Graphs and time Mass Measuring Angles Using a protractor Types of Angles Naming angles Calculating size of an angle Bearings – Compass and True Triangles Quadrilaterals Polygons Nets and Solids Introduction to ratios Simplifying Ratios Proportions Comparing Ratios Increasing and Decreasing in a given ratio Dividing in a given ratio Scale drawing Rates Speed Estimation and Approximation Error Perimeter Circumference Area of rectangles, triangles, parallelograms, circles, trapezium and composite shapes Surface Area of a triangular and rectangular prism, cylinder Volume of a prism, sphere Metric units of length Perimeter Area Area of sector TSA Volume Sphere Pyramid Assignment 2 levels Basic and Peter’s Assignment Triangles Angles in a triangle Exterior angles of a triangle Quadrilaterals Angles in a quadrilateral Angles in a Polygon Angles and Parallel lines Pythagoras’ Theorem Right angled triangles Finding side lengths Composite shapes Pythagorean Triads 3-D Pythagoras Trigonometry Errors in calculation Perimeter Area TSA Volume Extension for future specialist students Circle Geometry Intersecting chords, secants and tangents Angles in a circle What is Trigonometry? Name the sides of a right angled triangle Trigonometric Ratios Using the calculator Finding side lengths Finding the size of an angle Angles of elevation and depression Further Applications of trigonometry 3D Pythagoras Angles and the calculator Using trig ratios to find lengths and angles Similar Triangles Applications Bearings Methods Stream Unit Circle Circular Functions N.B. Essential Text does it better Measures of Central Tendency Grouped data N.B. Essential Text does it better Further Maths 1&2 Graphs of y sin x y cos x Statistics Reading Graphs Data and Frequency Tables Column and Bar graphs Data collection and organisation Tables and Charts Column and Bar Graphs Line Graphs Pie Graphs Mean Median Mode Probability Consumer Maths Matrices Cas Calculator Venn Diagrams Line Graphs Histograms and Frequency Polygons Dot Plots Stem and Leaf Plots Mean, Median Mode Measures of Spread Analysing data Box Plots Five Number Summary Boxplots Five Number Summary Measures of spread Bivariate data Lines of Best Fit Sample Space Statistical Probability v’s theoretical Probability Single event probability Tree diagrams Two way tables Venn Diagrams Probability revision Complemenatry events Mutually exclusive events Two way tables and lattice diagram Tree diagrams Independent and dependent events Karnaugh Graphs Conditional Probability Use Mathsworld 1&2 Chapter 7 Consumer Maths Assignment Consumer Maths Assignment Matrices Introduced in Year 9