Mathematics, Years 7 curriculum overview

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1 Mathematics, Years 7 curriculum overview Term Topics Assessment structure Autumn 1 Set 5 Sets 3 and 4 Set 2 Set 1 Students are ANALYSING AND assessed in the ANALYSING DISPLAYING ANALYSING AND FACTORS AND week before AND DATA DISPLAYING POWERS each school DISPLAYING Mode, Median and DATA Prime Factor holiday, in the DATA Range Two way tables Decomposition form of an hour Tables and Displaying Data and bar charts Laws of Indices long paper Pictograms Grouping Data Averages and Standard Form marked by Bar Charts Averages and range Calculating and their class Grouped Data Comparing Data Grouped data Estimating teacher. Mode and Modal Line and Pie Charts WORKING WITH Class Bar Charts NUMBER SKILLS POWERS Rage and Median Using Factors, primes Simplifying Mean Spreadsheets and multiples CALCULATING NUMBER SKILLS Using negative More Simplifying Adding Mental Maths numbers Expanding and Subtracting Addition and Multiplying and Factorising Multiplying Subtraction Dividing Dividing Multiplication Squares, powers Substituting into Multiplying by Division and square roots and Solving 10,10 and 1000 Time and Money Calculations Using the Four Negative Numbers Operations Factors, Multiples Positive and and Primes Negate Numbers Square and Triangle Numbers Autumn 2 EXPRESSIONS, FUNCTIONS AND FORMULAE Using Functions Function Machines Simplifying EXPRESSIONS, FUNCTIONS AND FORMULAE Functions Simplifying Writing EQUATIONS, FUNCTIONS AND FORMULAE Simplifying algebraic expressions Writing algebraic expressions 2D SHAPES AND 3D SOLIDS Plans and Elevations Surface Area of Prisms Volume of Prisms Circumference of a How parents can help Check that all homework is fully

2 Spring 1 Writing Using Formulae Writing Formulae Real Life Coordinates of Functions Scientific FACTORS AND MULTIPLES Number Rules and Relationships Multiples Multiplication Division Solving Problems Factors and Primes Common Factors and Multiples DECIMALS AND MEASURES Estimates and Measures Decimal Numbers Metric Units Substituting Into Formulae Writing Formulae DECIMALS AND MEASURES and Rounding Length, Mass and Capacity Scales and Coordinates Working with Perimeter Area More Units FRACTIONS Comparing Simplifying Working with and Understanding of Amounts PROBABILITY The Language of Calculating Experimental Expected Writing and using formulae Brackets and powers Factorising expressions FRACTIONS Working with fractions subtracting fractions, decimals and percentages Multiplying and dividing fractions Working with mixed numbers ANGLES AND SHAPES Angles and parallel lines Triangles Quadrilaterals Polygons DECIMALS Ordering decimals Rounding decimals subtracting decimals Multiplying decimals Dividing decimals, decimals and percentages Circle Area of a Circle Cylinders Pythagoras Theorem REAL LIFE Direct Proportion Interpreting Financial Distance Time Rates of Change Misleading TRANSFORMATIO NS Reflection and Translation Rotation Enlargement Combining Transformations 2D Shapes and 3D Solids FRACTIONS, DECIMALS AND PERCENTAGES Recurring Using Percentage changes Repeated Percentage Change

3 Spring 2 Subtracting Rounding Multiplying and Dividing Calculating with money ANGLES AND LNES Right Angles an Lines Measuring Angles Drawing and Estimating Angles MEASURING AND SHAPES Shapes Symmetry in Shapes Regular Polygons Perimeter Area Outcomes RATIO AND PROPORTION Direct Proportion Writing Ratios Using Ratios Scales and Measures Proportions and Proportions and LINES AND ANGLES Lines, Angles and Triangles Estimating, Drawing and Measuring Angles Drawing Triangles Accurately Calculating Angles Angles in a Triangle Quadrilaterals EQUATIONS Solving one step equations Solving two step equations More complex equations Trial and improvement MULTIPLICATIV E REASONING Metric and imperial units Writing ratios Sharing in a given ratio Proportion Proportional reasoning Using the unitary method CONSTRUCTIONS AND LOCI Accurate Drawings Constructing Shapes Loci PROBABILITY Comparing Probabilities Mutually Exclusive Events Estimating Probabilities Experimental Diagrams Tree Diagrams Summer 1 FRACTIONS, DECIMALS AND PERCENTAGES Comparing SEQUENCES AND Pattern PERIMETER, AREA AND VOLUME Triangles, SCALE DRAWINGS AND MEASURES Maps and Scales Bearings

4 Equivalent Calculating with Subtracting Introducing Finding Coordinates Extending Straight Lie Position to Term Rules parallelograms and trapeziums Perimeter and area of compound shapes Properties of 3D solids Surface area Volume Scales and Ratio Congruent and Similar Shapes Solving Geometry Problems Summer 2 TRANSFORMAT IONS Reflections Translations Rotation Congruency TRANSFORMATI ONS Congruency and Enlargements Symmetry Reflection Rotation Translations and Combined Transformations SEQUENCES AND The nth term Pattern sequences Coordinates and line segments Plotting Linear The Gradient Y=mx+c Parallel and Perpendicular Lines Inverse Functions Non Linear

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6 Mathematics, Years 8 curriculum overview Term Topics Assessment structure Autumn 1 Set 5 Sets 3 and 4 Set 2 Set 1 Students are assessed in the week before each school holiday, in the form of an hour long paper marked by their class teacher. NUMBER PROPERTIES AND CALCULATIONS Subtracting with Larger Numbers Negative Numbers Writing Ratios Using Ratios to Solve Problems Multiplicative Reasoning SHAPES AND MEASURES IN 3D 3D Solids Nets of 3D Solids Surface Area Volume Working With Measures Autumn 2 STATISTICS Data Collection Sheets Interpreting Bar Charts Drawing Bar Charts Pie Charts NUMBER Calculations Calculating with Negative Integers Powers, Roots and Brackets Multiples and Factors AREA AND VOLUME Area of a Triangle Area of a Parallelogram and Trapezium Volumes of Cubes and Cuboids 3D Shapes Surface Area of Cubes and Cuboids Problems and Measures STATISTICS, AND CHARTS Pie Charts Using Tables Stem and Leaf Diagrams Comparing Data INDICES AND STANDARD FORM Indices Calculations and Estimates Standard Form EXPRESSIONS AND FORMULAE Substituting Into Writing and Formulae Using Formulae Rules of Indices and Brackets Expanding Double Brackets DEALING WITH DATA Planning a Survey Collecting Data Calculating Averages Display and Analyse Data POWERS AND ROOTS Reciprocals Indices Standard Form Fractional Indices Surds QUADRATICS Expanding Brackets Factorising Solving Quadratic INEQUALITIES, EQUATIONS AND FORMULAE Inequalities Using Index Laws Solving Changing the Subject How parents can help Check that all homework is fully

7 EXPRESSIONS AND EQUATIONS Simplifying Functions Solving Using Brackets Scatter Misleading EXPRESSIONS AND EQUATIONS Algebraic Powers and Brackets Factorising One Step Two Step The Balancing Method Writing a Report MULTIPLICATIV E REASONING Enlargement Negative and Fractional Scale Factors Percentage Change Rates of Change Problem Solving Algebraic COLLECTING AND ANALYSING DATA Data Collection Presenting and Comparing Data Estimating Statistics Box Plots Cumulative Frequency Histograms Spring 1 DECIMAL CALCULATIONS Subtracting Multiplying Ordering and Rounding Problem Solving with ANGLES Measuring and Drawing Angles Vertically Opposite Angles Angles in Triangles Drawing Triangles REAL LIFE Conversion Distance Time Line of Functions DECIMALS AND RATIO Ordering and Rounding Place Value Calculations Calculations With Using Ratios CONSTRUCTIONS Using Scales Basic Constructions Constructing Triangles Loci EQUATIONS, INEQUALITIES AND PROPORTIONALI TY Soling Using Trial and Improvement Using and Solving Inequalities Proportion Simultaneous MULTIPLICATIVE REASONING Direct Proportion Non Linear Proportion Arcs and Sectors of Circles NON LINEAR of Quadratic Functions Solving Quadratic of Cubic Functions

8 Accurately Designing Nets Spring 2 Summer 1 NUMBER PROPERTIES Squares, Cubes and Roots Calculating with Brackets and Indices LCM and HCF Prime Factor Decomposition SEQUENCES Generating Extending Special Position to Term Rules Finding the nth term FRACTIONS AND PERCENTAGES Comparing LINES AND ANGLES Quadrilaterals Alternate Angles Geometrical Problems Exterior and Interior Angles CALCULATING WITH FRACTIONS Subtracting Multiplying, and Reciprocals Dividing Calculating with Mixed Numbers STRAIGHT LINE Direct Proportion on CIRCLES, PYTHAGORAS AND PRISMS Circumference of a Circle Area of a Circle Pythagoras Theorem Prisms and Cylinders Errors and Bounds SEQUENCES AND Nth term Non Linear Graphing Rates of Change Using y = mx + c More Straight Line More Simultaneous of Quadratic Functions Non Linear PROBABILITY Calculating Probabilities Experimental ACCURACY AND MEASURES Rates of Change Density and Pressure Upper and Lower Bounds Accurate Measures in Real Life GRAPHICAL SOLUTIONS Simultaneous Using y = mx + c and Simultaneous Solving Inequalities TRIGONOMETRY The Tangent Ratio The Sine Ratio The Cosine Ratio

9 of Amounts Subtracting and Calculating and Proportion Gradients of Straight Lines Direct Proportion Problems Diagrams Independent Events Using Trigonometry to Find Angles Solving Problems Using Trigonometry Trigonometric Summer 2 PROBABILITY The Language of Outcomes Calculations Experimental Comparing Probabilities PERCENTAGES, DECIMALS AND FRACTIONS and Equivalent Proportions Writing of Amounts COMPARING SHAPES Congruent and Similar Shapes Ratios in Triangles The Tangent Ratio The Sine Ratio The Cosine Ratio MATHEMATICAL REASONING Explain, Show and Justify Modelling Real Life Situations Proof

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11 Mathematics, Year 9 curriculum overview Term Topics Assessment structure Autumn 1 Foundation Tier Higher Tier In Mathematics students are assessed each half term. Integers and place value Indices, powers and roots Factors, multiples and primes Calculations, checking and rounding Indices, roots, reciprocals and hierarchy of operations Factors, multiples and primes It is therefore essential to your daughter s success in the subject that revision is an ongoing process. How parents can help Check that all homework is fully Autumn 2 Algebra: the basics Expanding and factorising single brackets Writing and using formulae Standard form Surds Algebra: the basics

12 Spring 1 and substitution into formulae Tables Charts and graphs Setting up, rearranging and solving equations

13 Spring 2 Pie charts Scatter graphs Averages and range Representing and interpreting data Summer 1, decimals and percentages Scatter graphs

14 Summer 2 Inequalities Properties of shapes, parallel lines and angle facts Ratio and proportion Polygons, angles and parallel lines

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