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Curriculum Mapping - Key Stage 3 Subject : Mathematics Year 7 (CORE) Term 1 Term 2 Topics addressed Skills acquired Cross-curricular links Progression links to future years Sequences and rules Order, add and subtract decimals Order, add and subtract negative numbers Rounding and estimates Paper and pencil methods to add, subtract, divide and multiply Perimeter and area of simple shapes Surface area of cuboids Equivalent fractions Add and subtract simple fractions Convert between fractions, decimals and percentages Averages (mode, median and mean) and range of a list of numbers Reading from charts Probability (vocabulary, scales and fractions) Algebra- collecting like terms Solving one-step equations Algebraic substitution Identify the mathematical features of a context or problem Recognise and describe patterns in number Make accurate mathematical diagrams Use accurate notation Use logical argument to interpret the mathematics in a given context Using the language of probability Strengthen and extend mental methods of calculation Use a variety of methods to check solutions Money Temperature Timelines English – comparison of frequency of words in texts Nth term of a sequence Multiply and divide decimals Multiply and divide negative numbers Rounding and significant figures Upper and lower bounds Area and perimeter of more complex and compound shapes Volume and surface area of other solids Add and subtract fractions with different denominators Multiply and divide fractions Averages of frequency distributions Solving two-step and more complex equations Use of brackets in algebra Vocabulary and notation of angles Angle facts (around a point, straight line, triangle, vertically opposite) Coordinates Collect and organise data Questionnaires Frequency tables Rounding to decimal places Multiplying and dividing large numbers Use a calculator efficiently Square and triangle numbers Square roots Draw graphs from functions Identify the mathematical features of a context or problem Recognise and describe patterns in number Make accurate mathematical diagrams Use accurate notation Strengthen and extend mental methods of calculations Use a variety of methods to check solutions Data collection in Finance, Science and Humanities PE – power/weight ratios Art – use of ratios/proportion Angle facts involving parallel lines Angles in polygons Sampling Powers and roots Equations of lines Gradients Percentage increase and decrease Proportionality Equations of horizontal and vertical lines Measure and draw angles Construct triangles and quadrilaterals Geometrical properties of triangles and quadrilaterals Find percentages of an amount Compare proportions expressed in fraction, decimal or percentage form Introducing ratio and simple proportion Term 3 Algebra and diagrams Combining algebraic expressions Line and rotation symmetry Translating shapes Percentage pie charts Comparing distributions using range and mean Probabilities from two-way tables Multiply and divide decimals by whole numbers Further calculator skills Further use of percentages, fractions and decimals Solve two-step equations Using formulae Conversion graphs Angle properties of polygons Tessellations Nets of 3-D solids Identify the mathematical features of a context or problem Make accurate mathematical diagrams Use accurate notation Use logical argument to interpret the mathematics in a given context Interpret results using the language of probability Strengthen and extend mental methods of calculation Discuss and interpret graphs arising from real situations Transformations in Art Conversion graphs Geography – population growth Use of brackets in algebra Transformations on grids Combined transformations Averages of frequency distributions Probability of combined events Multiply and divide decimals Repeated percentage change and compound interest More complex equations Surface area of solids Curriculum Mapping - Key Stage 3 Subject : Mathematics Year 7 (Accelerated) Term 1 Term 2 Topics addressed Skills acquired Cross-curricular links Progression links to future years Negative numbers Prime factors, HCF and LCM Powers and roots Sequences and the nth term Angle facts (parallel lines, polygons) Properties of quadrilaterals Constructions Probability (theoretical and experimental) Converting between fractions, decimals and percentages Percentage increase and decrease Algebra – collecting like terms Expanding and factorising brackets Circumference and area of circles Volume and surface area of prisms Conversion between Imperial and Metric units of measurement Identify the mathematical features of a context or problem Recognise and describe patterns in number Make accurate mathematical diagrams Use accurate notation Use logical argument to interpret the mathematics in a given context Interpret the results of an experiment using the language of probability Strengthen and extend mental methods of calculation Temperature Timelines Sale prices Interest on money Everyday measurements Geography - population growth Music – powers of 2 – doubling frequencies PE – calculations involving weight, length and time Substitution involving negative numbers Rules of indicies Surds Circle theorems Locus problems Probability of combined events Tree diagrams Quadratic expressions Volume and surface area of cylinders, cones, spheres and compound solids Mappings and functions Gradient of a graph Distance-time graphs Rounding to 1 or 2 decimal places and estimating solutions Using a calculator efficiently Multiplying and dividing decimals Transformations (reflections, rotations and translations) Enlarging by a negative scale factor Symmetry in 3-dimensions Area and volume scale factors of enlargement Solving equations (unknown on both sides) Algebraic substitution Creating an algebraic expression or formula Discuss and interpret graphs arising from real situations Use a variety of methods to check solutions Strengthen and extend mental methods of calculation Make accurate mathematical diagrams Use accurate notation Use logical argument to interpret the mathematics in a given context Average speed Acceleration Use of transformations in Art Surveys and analysis of data in Business, Science and Humanities English – comparison of frequency of words/word length in texts Y=mx+c Gradient of perpendicular lines Velocity-time graphs Upper and lower bounds Use of vectors Fractional scale factors of enlargement Similarity Solving quadratics Mean of frequency distributions and grouped data Cumulative frequency curves Box plots Surveys and questionnaires Two-way tables Analysing and comparing data using range, mean, mode and median Stem and leaf diagrams Scatter graphs Term 3 Add and subtract fractions BODMAS (order of operations) Further multiplication and division of decimals Solving more complex equations Trial and improvement method for solving equations Negative gradients Real-life graphs Changing the subject of a formula (rearranging an equation) Solving a variety of problems using mathematics Ratio and proportion problems Selecting examples to prove or disprove general statements Interpreting plans and scale drawings Use of maps and bearings Mid-point of a line segment Locus Constructing data collection sheets Using an assumed mean Frequency diagrams for continuous data Time series and graphs Comparison between theoretical and experimental data Strengthen and extend mental methods of calculation Use logical argument to interpret the mathematics in a given context Use accurate notation Identify the mathematical features of a context or problem Interpret the results of an experiment using the language of probability Value for money calculations Predicting trends (Business, Science, Humanities) Algebraic fractions Equations of curves Gradients of curves Changing the subject of formulae involving fractions and bracket Direct and indirect (inverse) proportionality Formal mathematical proofs Calculating the length of line segment HIstograms Curriculum Mapping - Key Stage 3 Subject : Mathematics Year 8 (CORE) Term 1 Term 2 Topics addressed Skills acquired Cross-curricular links Progression links to future years Multiplying and dividing negative numbers HCF and LCM Powers roots prime factors Sequences Solving problems Alternate and corresponding angles Angles in a triangle and quadrilateral Geometric proof Constructions Statistics Fractions and decimals Adding and subtracting, multiplying and dividing fractions Percentages Collecting like terms Expanding brackets Using algebra with shapes Area of triangle and parallelogram Volume of a cuboid Identify the mathematical features of a context or problem Recognise and describe patterns in number Make accurate mathematical diagrams Use accurate notation Use logical argument to interpret the mathematics in a given context Using the language of probability Strengthen and extend mental methods of calculation Use a variety of methods to check solutions Money Temperature Timelines English – comparison of frequency of words in texts Linear functions Graphs of functions and real life graphs Powers of ten Estimations and Large Numbers Adding subtracting multiplying and dividing decimals Efficient calculations Congruent shapes Transformations of shapes Solving equations Stem and leaf diagrams Pie charts and Scatter graphs Fractions using four rules Order of operations Identify the mathematical features of a context or problem Recognise and describe patterns in number Make accurate mathematical diagrams Use accurate notation Strengthen and extend mental methods of calculations Use a variety of methods to check solutions Data collection in Finance, Science and Humanities Conversion graphs Geography – population growth Nth term of a sequence Multiply and divide decimals Using negative numbers in all contexts Rounding and significant figures Upper and lower bounds Area and perimeter of more complex and compound shapes Volume and surface area of other solids Add and subtract fractions with different denominators Multiply and divide fractions Averages of frequency distributions Solving two-step and more complex equations Algebraic fractions Use of brackets in algebra Factorising Angle facts involving parallel lines Angles in polygons Sampling Quadratic functions Real life graphs Powers and roots Equations of lines Gradients Percentage increase and decrease Proportionality Standard form Using a calculator Bidmas Transformations on grids Combined transformations Using scatter graphs in context Using graphs to compare Surface area of solids Term 3 Expanding and simplifying Changing the subject Using algebra to solve problems Proof Proportion Plans and elevations Scale drawing Finding the midpoint Bearings Circumference and area of a circle Frequency tables Averages Experimental and theoretical probability Identify the mathematical features of a context or problem Make accurate mathematical diagrams Use accurate notation Use logical argument to interpret the mathematics in a given context Interpret results using the language of probability Strengthen and extend mental methods of calculation Discuss and interpret graphs arising from real situations Plans in Art Explanation and arguing a point English Using a compass Art – use of ratios/proportion Use of brackets in algebra Averages of frequency distributions Probability of combined events Repeated percentage change and compound interest More complex equations Changing the subject in more complex situations Complex proof Equation of a line Curriculum Mapping - Key Stage 3 Subject : Mathematics Year 9 (CORE) Term 1 Topics addressed Skills acquired Cross-curricular links Progression links to future years Sequences Quadratic sequences Functions and graphs Limits of sequences Adding, subtracting, multiplying and dividing fractions Speed distance time Reverse percentages Ratio Order of operations Rounding and estimation Equations involving fractions Quadratic equations Trial and Improvement Angles in polygons Circles Tessellations and constructions Scatter graphs and correlation Volume and surface area of a prism Identify the mathematical features of a context or problem Recognise and describe patterns in number Make accurate mathematical diagrams Use accurate notation Use logical argument to interpret the mathematics in a given context Using the language of probability Strengthen and extend mental methods of calculation Use a variety of methods to check solutions Money Temperature Timelines Ratio in Art Speed distance and time in Science Nth term of a sequence Decimal places and significant figures Using negative numbers in all contexts Rounding and significant figures Upper and lower bounds Area and perimeter of more complex and compound shapes Volume and surface area of other solids Multiply and divide mixed numbers Solving two-step and more complex equations Algebraic fractions Angle facts involving parallel lines Angles in polygons Sampling Compound interest Term 2 Term 3 Multiplying and dividing decimals Use of a calculator Solving problems Factorising Index notation Square and cube roots Probability statements Mutually exclusive and exhaustive events Estimates of probability Enlargements rotation reflection and translation Planes of symmetry Congruency Expansion and factorisation of quadratics Solving problems using four rules Straight line graphs Quadratic graphs Statistical techniques Geometry and measure revision Probability Multiplication, Division, addition and subtraction Fractions Percentages Decimals Algebra review Completing the square Quadratic formula Identify the mathematical features of a context or problem Recognise and describe patterns in number Make accurate mathematical diagrams Use accurate notation Strengthen and extend mental methods of calculations Use a variety of methods to check solutions Data collection in Finance, Science and Humanities Conversion graphs Geography – population growth Maps in Geography Quadratic functions Real life graphs Powers and roots Equations of lines Gradients Percentage increase and decrease Proportionality Standard form Using a calculator Bidmas Transformations on grids Combined transformations Using scatter graphs in context Using graphs to compare Surface area of solids Identify the mathematical features of a context or problem Make accurate mathematical diagrams Use accurate notation Use logical argument to interpret the mathematics in a given context Interpret results using the language of probability Strengthen and extend mental methods of calculation Discuss and interpret graphs arising from real situations Explanation and arguing a point English Art – use of ratios/proportion Use of brackets in algebra Averages of frequency distributions Probability of combined events Repeated percentage change and compound interest More complex equations Changing the subject in more complex situations Complex proof Drawing graphs and Equation of a line Finding roots and using the discriminant Transformations of graphs