GCSE Maths - Collins

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GCSE Mathsfor Edexcel4th EditionHigher Scheme of Work

Using Maths Frameworking 3rd edition Pupil Books 1.3, 2.3 and3.3 and Edexcel GCSE Maths 4th edition Higher Student Booktogether will give you a complete 5 year maths programme.To download 2 and 3 yearHigher tier route maps go tocollins.co.uk/GCSEMaths

5 year Higher Scheme of WorkThis 5-Year Higher Scheme of Work offers a flexible approach for Year 7 to Year 11. It is based on a minimum of seven one hour Maths lessons per fortnight (assuminga two week timetable of three lessons in one week and four in the second). This accounts for an average of 140 teaching hours per academic year, with the exceptionof Year 11, which has 115 due to GCSE examinations in summer (2). In addition to this, there are assessment and review sessions built in.WeekBook / Chapter: TopicTopic break-down(sub-topics)Total no.of teachinghoursLearning ObjectivesMaths Frameworking PupilBook 1.31/21: Using numbers1.1 Charts and financial mathematics7 To carry out calculations from information given in charts andtables To know and use financial vocabulary1.2 Positive and negative numbers To order positive and negative numbers using a number lineTerm 1Year 7 To use and apply comparison symbols such as (greater than)and (less than)3/42: Sequences1.3 Simple arithmetics with negative numbers1.4 Subtracting negative numbers1.5 Multiplying negative numbers To calculate addition, subtraction and multiplication problemsinvolving directed numbersTravelling in Asia and Eastern Europe To use and apply directed number calculations in a real-lifesituation2.1 Function machines5 To use function machines to generate inputs and outputs To use given inputs and outputs to work out a function HarperCollinsPublishers Ltd 20152.2 Sequences and rules To recognise, describe and generate linear sequences2.3 Finding missing terms To identify missing terms in a sequence3

WeekBook / Chapter: TopicTotal no.of teachinghoursTopic break-down(sub-topics)2.4 Working out the nth termLearning Objectives To identify the nth term of a linear sequence To use the nth term to work out any term in a sequence3/42: Problem solving andreasoning2.5 Other sequences2 Valencia Planetarium53: Perimeter, area andvolume To explore square and triangular numbers as sequencesTo know and generate the Fibonacci sequence andPascal’s triangle To apply knowledge of sequences in a context3.1 Perimeter and area of rectangles4 To use a simple formula to work out the perimeter of arectangle To use a simple formula to work out the area of a rectangle3.2 Perimeter and area of compound shapes To work out the perimeter and area of compound rectilinearshapes by using simple formulae3.3 Area of common 2D shapes To calculate the area of a triangle. To calculate the area of a parallelogram To calculate the area of a trapezium663: Perimeter, area andvolume3.4 Surface area and volume of cubes andcuboids33: Problem solvingDesign a bedroom1Half term assessment To calculate the surface area of cubes and cuboids To calculate the volume of cubes and cuboids To calculate perimeters and areas in a real-life context1HALF TERM744: Decimal numbers4.1 Multiplying and dividing by 10,100,1000 and10 0007 To multiply and divide decimal numbers by powers of 104.3 Esimates To use rounding to estimate answers to calcuations, to spotpossible errors4.2 Ordering decimals To order decimals, including numbers with different decimalplaces4.4 Adding and subtracting decimals4.5 Multiplying decimals4.6 Dividing decimals To add and subtract decimal numbersFinancial skills – Shopping for leisure To solve multi-step problems involving decimals in a familiarcontext To multiply and divide decimal numbers HarperCollinsPublishers Ltd 2015

WeekBook / Chapter: TopicTopic break-down(sub-topics)8/9/105: Working with numbers5.1 Square numbers and square rootsTotal no.of teachinghours105.2 RoundingLearning Objectives To recognise and use square numbers up to 225 (152) andcorresponding square roots To round numbers to more than one decimal place To round numbers to one or two significant figures5.3 Order of operations To use the conventions of BIDMAS to carry out calculations5.4 multiplications problems without a calculator To use an efficient written method of multiplication without acalculator5.5 Division problems without a calculator To use an efficient written method of division without acalculator5.6 Calculations with measurements To convert between common metric units To use measurements in calculations To recognise and use appropriate metric units1011/125: Problem solving andreasoningWhat is your carbon footprint?2 To apply number skills in real life contexts6: Statistics6.1 Mode, median and range7 To calculate and use the mode, median and range of a set ofdata HarperCollinsPublishers Ltd 20156.2 The mean To calculate and use the mean average of a set of data6.3 Statistical diagrams To be able to read and interpret different statistical diagrams6.4 Collecting and using discrete data To create and use a tally chart6.5 Collecting and using continuous data To understand continuous data and use grouped frequency5

WeekBook / Chapter: TopicTotal no.of teachinghoursTopic break-down(sub-topics)Learning Objectives6.6 Data collection To develop a greater understanding of data collectionChallenge – School sports day To apply data handling skills to a real-life situation13End of term assessment113Assessment review1CHRISTMAS HOLIDAY1/27: Using algebra7.1 Expressions and substitution6 To use algebra to write simple expressions and recogniseequivalent expressionsTerm 2 To substitute numbers into expressions to work out their value7.2 Simplifying expressions To apply arithmetic rules to algebraic expressions7.3 Using formulae To use substitution in the context of formulae7.4 Writing formulae To construct formulae from contextual situations27: Problem solving andreasoningWinter sports1 To use a formula to calculate costs3/48: Fractions8.1 Equivalent fractions7 To find common equivalent fractions To write fractions in their simplest form45/68.2 Comparing fractions To compare and order two fractions8.3 Adding and subtracting fractions To add and subtract fractions with different denominators8.4 Mixed numbers and improper fractions8.5 Calculations with mixed numbers To convert between mixed numbers and improper fractions To add and subtract simple mixed numbers with differentdenominators8: ChallengeFractional dissection1 To explore fractions in the context of the part-wholerelationship9: Angles9.1 Measuring and drawing angles5 To use a protractor to measure an angle To use a protractor to draw an angle6 HarperCollinsPublishers Ltd 2015

WeekBook / Chapter: TopicTotal no.of teachinghoursTopic break-down(sub-topics)9.2 Calculating anglesLearning Objectives To know the properties of parallel and perpendicular lines To calculate angles on a line To calculate angles at a point To identify opposite equal angles9.3 Corresponding and alternate angles To calculate angles in parallel lines9.4 Angles in a triangle To know that the angle sum in a triangle is 180 9.5 Angles in a quadrilateral To know that the angle sum in a quadrilateral is 360 9.6 Properties of triangles and quadrilaterals To know and use the properties of triangles To know and use the properties of quadrilaterals69: ActivityConstructing triangles1Half term assessment To use angles construction and measuring skills withconfidence, fluency and accuracy1HALF TERM7/810: Coordinates and graphs10.1 Coordinates in four quadrants7 To use coordinates to identify and locate position points in allfour quadrants10.2 Graphs from relationships10.3 Predicting graphs from relationships To draw a graph using a simple linear rule10.4 Graphs of fixed values of x and y, y x andy –x To recognise and draw linear graphs with values of x and y To know the connection between pairs of coordinates and therelationship shown in an equation and a graph To recognise and draw the graphs ofy x and y –x10.5 Graphs of the form x y a To recognise and draw graphs of the form x y a10.6 Graphs from the real world To draw and use real-life graphs To know how graphs can be used in real-life situations810: Challenge HarperCollinsPublishers Ltd 2015Global Warming1 To apply graphing skills in a real-life situation7

Week9/10Total no.of teachinghoursBook / Chapter: TopicTopic break-down(sub-topics)11: Percentages11.1 Fractions, decimals and percentages5Learning Objectives To know equivalences between common fractions, decimalsand percentages To understand and use percentages greater than 100%11.2 Fractions of a quantity To calculate a fraction of a quantity without a calculator11.3 Calculating simple percentages To calculate a percentage of a quantity without a calculator11.4 Percentages with a calculator To calculate a percentage of a quantity with a calculator To know when it is appropriate to use a calculator11.5 Percentage increase and decrease To calculate the result of a percentage changeFinancial skills – Income tax To work out the result of a simple percentage change To apply percentage skills in a real-life context11/1212: Probability12.1 Probability scales3 To know the vocabulary of probability To know and use the 0–1 probability scale12.2 Combined events To use sample space diagrams to work out the probability of acombined event12.3 Experimental probability To know the difference between theoretical and experimentalprobability To calculate and use experimental probabilityFinancial skills – Easter Fayre12 To use experimental and theoretical probability in a real-lifecontextRevision1End of term assessment1EASTER HOLIDAY8 HarperCollinsPublishers Ltd 2015

Week1/2Book / Chapter: TopicTopic break-down(sub-topics)13: Symmetry13.1 Line symmetry and rotational symmetryTotal no.of teachinghours4Learning Objectives To recognise shapes that have reflective symmetry To draw lines of symmetry on a shape To recognise shapes that have rotational symmetry To find the order of rotational symmetry for a shape13.2 Reflections To be able to reflect a shape in vertical and horizontal mirrorlines To use a coordinate grid to reflect shapes in lines, including y xTerm 322/34/513.3 Rotations To be able to rotate a shape13.4 Tessellations To be able to tessellate shapes13: ActivityLandmark spotting1 To apply aspects of symmetry in real-life contexts14: Equations14.1 Finding unknown numbers6 To find missing numbers in simple calculations15: Interpreting data14.2 Solving equations To solve equations involving one operation14.3 Solving more complex equations To solve equations involving two operations14.4 Setting up and solving equations To use algebra to set up and solve equationsChallenge – number puzzles To identify and solve multi-step linear equations15.1 Pie charts6 To read and interpret data from pie charts To use a scaling method to draw a pie chart15.2 Comparing data using averages and therange To use the averages and range to compare and interpret datasets15.3 Statistical surveys To carry out a statistical survey To use charts and diagrams to interpret data and write a reportChallenge – Dancing competitionHalf term assessment HarperCollinsPublishers Ltd 2015 To apply data interpretation skills in everyday situations19

WeekBook / Chapter: TopicTotal no.of teachinghoursTopic break-down(sub-topics)Learning ObjectivesHALF TERM6/716: 3D shapes16.1 Naming and drawing 3D shapes5 To know the names and properties of common 3D shapes To use isometric paper to represent shapes made from cubes16.2 Using nets to construct 3D shapes To draw nets for 3D shapes To construct 3D shapes from nets, including more complexshapes16.3 3D investigations78/9 To establish the rule connecting faces, edges and vertices in3D shapes (Euler)16: Problem solving andreasoningDelivering packages1 To solve 3D shape problems in everyday situations17: Ratio17.1 Introduction to ratios5 To know ratio notation To use ratios to compare quantities17.2 Simplifying ratios To write a ratio in its simplest terms To write ratios in the form 1 : x17.3 Ratios and sharing To use ratios to find totals and missing quantities To write ratios to compare more than two items17.4 Ratios and fractionsSmoothie bar To use and apply the connection between ratios and fractionsas a proportionality relationship917: Problem solving andreasoning110End of term assessment211Assessment review2 To use ratios in a real-life context.END OF YEAR 7 / SUMMER HOLIDAY10 HarperCollinsPublishers Ltd 2015

WeekBook / Chapter: TopicTopic break-down(sub-topics)Total no.of teachinghoursLearning ObjectivesMaths Frameworking PupilBook 2.31/22: GeometryTerm 1Year 83/41: Working with numbers1.1 Multiplying and dividing directed numbers7 To carry out multiplications and divisions involving negativenumbers1.2 Factors and HCF To know and use highest common factors1.3Multiples and LCM To know and use lowest common multiples1.4Powers and roots To know and use powers and roots1.5Prime factors To be able to identify the prime factors of any integerChallenge – Blackpool Tower To be able to use and apply number skills in a real-life situation2.1 Parallel lines7 To calculate angles in parallel lines2.2 Geometric properties of quadrilaterals To know the geometric properties of quadrilaterals2.3 Translations To be able to translate a shape2.4 Enlargements To enlarge a 2D shape by a scale factor2.5 Constructions To construct the mid-point and perpendicular bisector of a line To construct a perpendicular to a line from or at a given pointChallenge – Constructions5/63: Probability3.1 Mutually exclusive outcomes and exhaustiveoutcomes To complete more complex constructions and produce a set ofinstructions7 To recognise mutually exclusive outcomes and exhaustiveoutcomes To represent a chance on a probability scaleHalf term assessment HarperCollinsPublishers Ltd 20153.2 Using a sample space to calculateprobabilities To use a sample space to calculate probabilities3.3 Estimates of probability To use relative frequency to estimate probabilitiesFinancial skills – Fun in the Fairground To apply probability to a real-lifee situation111

WeekBook / Chapter: TopicTotal no.of teachinghoursTopic break-down(sub-topics)Learning ObjectivesHALF TERM7/89/1011/124: Percentages5: Congruent Shapes6: Surface area and volumeof prisms4.1 Calculating percentages7 To write one quantity as a percentage of another4.2 Calculating percentage increase anddecrease To use a multiplier to calculate a percentage change4.3 Calculating a percentage change To work out a change in value as a percentage increase ordecreaseChallenge – Changes in population To apply percentages when analysing a real-life situation5.1 Congruent shapes7 To recognise congruent shapes5.2 Congruent triangles To know the conditions for recognising congruent triangles5.3 Using congruent triangles to solve problems To solve geometric problems using the rules of congruencyProblem solving – Using scale diagrams to workout distances Applying scale factors in real-life situations.6.1 Metric units for area and volume6 To convert between metric units for area and for volume6.2 Surface area of prisms To calculate the surface area of a prism6.3 Volume of prisms To calculate the volume of a prismInvestigation – A cube investigation To apply knowledge of area and work systematically to solvea problemEnd of term assessment1Assessment review1CHRISTMAS HOLIDAYTerm 21/2127: Graphs7.1 Graphs from linear equations7.2 Gradient of a line6 To develop graphical fluency with a range of linearrepresentations To know the gradient of a line from its linear equation To establish the equation of a line in the form y mx c fromits graph HarperCollinsPublishers Ltd 2015

WeekBook / Chapter: TopicTotal no.of teachinghoursTopic break-down(sub-topics)7.3 Graphs from quadratic equationsLearning Objectives To recognise and draw the graph from a quadratic equation To solve a quadratic equation from a graph3/45/68: Number9: Interpreting data7.4 Real-life graphs To draw graphs from real-life situations to show the relationshipbetween two variablesChallenge – The M25 To solve problems involving more than one variable in a reallife context8.1 Powers of 107 To multiply and divide by negative powers of 108.2 Significant figures To round to a specific number of significant figures8.3 Standard form with large numbers To write a large number in standard form8.4 Multiplying with numbers in standard form To multiply with numbers in standard formChallenge – Space – to see where no-one hasseen before To apply standard form to solve a problem in a real-life context9.1 Interpreting graphs and diagrams7 To interpret different charts seen in the media9.2 Relative sized pie charts To draw pie charts relative to data size9.3 Scatter graphs and correlation To read scatter graphs To interpret correlation9.4 Creating scatter graphs To construct scatter graphs and use a line of best fit todescribe data trendsChallenge – Football attendances To use and apply data handling skills in a real-life contextHalf term assessment1HALF TERM7/8/910: Algebra10.1 Algebraic notation10.2 Like terms HarperCollinsPublishers Ltd 201510 To simplify algebraic expressions involving the four operationsof arithmetic To simplify expressions by collecting up like terms13

Week10/11Book / Chapter: Topic11: Shape and RatioTotal no.of teachinghoursTopic break-down(sub-topics)Learning Objectives10.3 Expanding brackets To multiply out brackets in an expression10.4 Using algebraic expressions To identify and manipulate algebraic expressions10.5 Using index notation To write algebraic expressions involving powersMathematical reasoning – Writing in algebra To use and apply algebraic manipulation skills in a range ofcontexts11.1 Ratio of lengths, areas and volumes8 To use ratio to compare lengths, areas and volumes of 2D and3D shapes11.2 Fractional enlargement To enlarge a 2D shape by a fractional scale factor11.3 Map scales To be able to read and use map scales efficientlyActivity – Map reading To use and apply skills and knowledge of area, ratio and datahandling in a real-life context.Revision1End of term assessment1Assessment review1EASTER HOLIDAYTerm 31/2/31412: Fractions and Decimals12.1 Adding and subtracting fractions10 To add and subtract fractions and mixed numbers12.2 Multiplying fractions and integers To multiply a fraction or a mixed number and an integer12.3 Dividing with fractions and integers To divide a fraction or a mixed number by an integer To divide an integer or a mixed number by a fraction12.4 Multiplication with large and small numbers To multiply with combinations of large and small numbersmentally12.5 Division with large and small numbers To divide combinations of large and small numbers mentallyChallenge – Guesstimates To use mental calculation strategies and estimation in real-lifesituations HarperCollinsPublishers Ltd 2015

Week4Book / Chapter: TopicTopic break-down(sub-topics)13: Proportion13.1 Direct proportionTotal no.of teachinghours4Learning Objectives To know what is meant by direct proportion To find missing values in problems involving proportion13.2 Graphs and direct proportion To represent direct proportion graphically and algebraically13.3 Inverse proportion To know what is meant by inverse proportion To use graphical and algebraic representations of inverseproportion5/614: Circles13.4 Comparing direct proportion and inverseproportion To recognise direct and inverse proportion and work outmissing valuesChallenge – Planning a trip To apply knowledge of proportion to a real-life situation14.1 The circumference of a circle5 To know the definition of a circle and be able to name theparts of a circle To establish the relationship between the circumference anddiameter of a circle (π)14.2 Formula for the circumference of a circle To calculate the circumference of a circle14.3 Formula for the area of a circle To calculate the area of a circleFinancial skills – Athletics stadium To use and apply knowledge of number and circles to solvemulti-step problems in real-life contextsHalf term assessment1HALF TERM7/815: Equations and formulae15.1 Equations with brackets7 To solve equations involving brackets To solve equations where the answers are fractions or negativenumbers15.2 Equations with the variable on both sides To solve equations with the variable on both sides15.3 More complex equations To solve equations with fractions and fractional coefficients To solve simple equations involving squares HarperCollinsPublishers Ltd 201515

Week9/10Book / Chapter: Topic16: Comparing DataTopic break-down(sub-topics)Total no.of teachinghoursLearning Objectives15.4 Rearranging formulae To change the subject of a formula, including formulaeinvolving squaresMathematical reasoning – Using graphs to solveequations Be able to make links between graphical and algebraicrepresentations to solve equations16.1 Grouped frequency tables716.2 Drawing frequency diagrams To create a grouped frequency table from raw data To interpret frequency diagrams To draw a frequency diagram from a grouped frequency table16.3 Comparing sets of data To be able to compare data from two sources16.4 Misleading charts To recognise when a statistical chart may be misleadingProblem solving – Why do we use so manydevices to watch TV? Be able to interpret and present data in order to make validcomparisons11End of term assessment111Assessment review1END OF YEAR 8 / SUMMER HOLIDAYMaths Frameworking PupilBook 3.3Term 1Year 91/21: Percentages1.1 Simple interest7 To know what is meant by simple interest To solve problems involving simple interest1.2 Percentage increase and decrease To use the multiplier method to calculate the result of apercentage increase or decrease To calculate the percentage change in a value161.3 Calculating the original value To calculate the original value, given a percentage change1.4 Repeated percentage changes To calculate the result of repeated percentage changes HarperCollinsPublishers Ltd 2015

WeekBook / Chapter: TopicTopic break-down(sub-topics)Total no.of teachinghoursChallenge – Exponential growth3/4/55/62:Equations and formulae3: PolygonsLearning Objectives Be able to use and apply prior knowledge to extend learningand make links with other areas of mathematics2.1 Multiplying out brackets10 To expand brackets and simplify more complex expressions2.2 Factorising algebraic expressions To factorise more complex expressions2.3 Expressions with several variables To expand and factorise expressions with more than onevariable2.4 Equations with fractions To solve equations where the variable is in the denminator of afractionInvestigation – Body mass index To use and apply skills to solve problems in a real-life context3.1 Properties of polygons5 To work out the sum of the interior angles of a polygon To work out the exterior angles of polygons3.2 Interior and exterior angles of regularpolygons To calculate the interior and exterior angles of regularpolygons3.3 Tessellations and regular polygons To establish which regular polygons tessellateMathematical reasoning – Semi-regulartessellations To use geometric reasoning and apply prior knowledge toextend learningHalf term assessment1HALF TERM7/84: Using data4.1 Scatter graphs and correlation7 To infer a correlation from two related scatter graphs To draw a line of best fit to show a correlation4.2 Two-way tables To interpret a variety of two-way tables4.3 Estimation of a mean from grouped data To estimate a mean from grouped data4.4 Cumulative frequency diagrams To draw a cumulative frequency diagram To find the interquartile range HarperCollinsPublishers Ltd 201517

Week9/1011/12Book / Chapter: Topic5: Applications of graphs6: Pythagoras’ TheoremTotal no.of teachinghoursTopic break-down(sub-topics)Learning Objectives4.5 Statistical investigations To plan a statistical investigationChallenge – Census Use and apply statistical skills and analysis to a real-lifesituation5.1 Step graphs7 To interpret step graphs5.2 Time graphs To interpret and draw time graphs5.3 Exponential growth graphs To draw exponential growth graphsProblem solving – Mobile phone tariffs To use and apply knowledge of graphs to solve best buyproblems in real-life contexts6.1 Introducing Pythagoras7 To use Pythagoras’ theorem to calculate missing sides in rightangled triangles6.2 Using Pythagoras’ theorem to solveproblems To use Pythagoras’ theorem to solve problems in context6.3 The converse of Pythagoras’ theorem To use the converse of Pythagoras’ theorem to establishwhether or not a triangle is a right-angled triangleActivity – Practical Pythagoras To apply Pythagoras’ theorem in a practical contextEnd of term assessment1Assessment review1CHRISTMAS HOLIDAYTerm 21/2187: Fractions7.1 Adding and subtracting fractions5 To choose an appropriate method to add or subtract mixednumbers7.2 Multiplying fractions and mixed numbers To multiply two fractions or mixed numbers7.3 Dividing fractions and mixed numbers To divide one fraction or mixed number by another fraction ormixed number HarperCollinsPublishers Ltd 2015

WeekBook / Chapter: TopicTotal no.of teachinghoursTopic break-down(sub-topics)Learning Objectives7.4 Algebraic fractions To add, subtract, multiply or divide fractions containing avariableInvestigations – Fractions from one to six To apply knowledge of fractions to a more complex problem To work systematically2/34/58: Algebra9: Decimal numbers8.1 Expanding the product of two brackets6 To multiply out (or expand) two brackets8.2 Expanding expressions with more than twobrackets To multiply out three or more brackets8.3 Factorising quadratic expressions withpositive coefficients To factorise quadratic expressions with positive coefficients8.4 Factorising quadratic expressions withnegative coefficients To factorise quadratic expressions with negative coefficients8.5 The difference of two squares To recognise and use the difference of two squares to solve anequationChallenge – Graphs from expressions To use and apply knowledge of factorising and expansion in apractical context9.1 Powers of 107 To calculate with positive and negative powers of 109.2 Standard form To calculate using standard form for positive and negativepowers of 109.3 Multiplying numbers in standard form To multiply numbers in standard form9.4 Dividing with numbers in standard form To divide numbers in standard form9.5 Upper and lower bounds To use limits of accuracy when rounding dataMathematical reasoning – To the stars and back To use and apply skills and knowledge of standard form in areal-life contextHalf term assessment1HALF TERM HarperCollinsPublishers Ltd 201519

Week6/7Book / Chapter: Topic10: Surface area and volumeof cylindersTotal no.of teachinghoursTopic break-down(sub-topics)10.1 Volume of a cylinder710.2 Surface area of a cylinderLearning Objectives To calculate the volume of a cylinder To calculate the curved surface area of a cylinder To calculate the total surface area of a closed cylinder8/9/1011: Solving equationsgraphically10.3 Composite shapes To calculate the volumes and surface areas of compositeshapesProblem solving – Packaging soup To use and apply knowledge of volume and surface area tosolve a practical problem11.1 Graphs from equations of the form ay bx c10 To draw any linear graph from its equation To solve a linear equation graphically11.2 Solving simultaneous equations bydrawing graphs To solve a pair of simultaneous equations graphically11.3 Solving quadratic equations by drawinggraphs To solve quadratic equations graphically11.4 Solving cubic equations by drawing graphs To solve cubic equations graphicallyChallenge – Maximum packages To use and apply knowledge of functions to solve a real-lifeproblem graphically10End of term assessment110Assessment review1EASTER HOLIDAY1/212: Compound units12.1 Speed12.2 More compound units207 To solve distance/time/speed problems To solve problems involving density/mass/volume HarperCollinsPublishers Ltd 2015

Week13: Right-angled trianglesTerm 33/4Book / Chapter: TopicTotal no.of teachinghoursTopic break-down(sub-topics)Learning Objectives12.3 Unit costs To apply the unit cost method to solve problems such as bestvalueChallenge – Population density To use and apply knowledge of compound measure strategiesto a problem in a practical context13.1 Introduction to trigonometric ratios7 To know what trigonometric ratios are13.2 How to find trigonometric ratios of angles To know how to find the trigonometric ratios of sine, cosineand tangent in a right-angled triangle13.3 Using trigonometric ratios to find angles To find the angle identified from a trigonometric ratio13.4 Using trigonometric ratios to find lengths To find an unknown length of a right-angled triangle given oneside and an angleInvestigation – Barnes Wallis and the bouncingbomb To use and apply trigonometry in a practical contextEdexcel GCSE HigherStudent Book5/64: Introduction to algebraicproof4.1 Reasoning about number patterns7 Make and test conjectures about patterns and relationships Look for proofs and counter-examplesHalf term assessment1HALF TERM712: Introduction togeometric proof HarperCollinsPublishers Ltd 201512.1 Properties and relationships3 Use known geometric results to obtain simple proofs21

Total no.of teachinghoursBook / Chapter: TopicTopic break-down(sub-topics)813: Probability13.2 Independent and combined events4 To calculate the probability of independent and combinedevents using a tree diagram94: Introduction to geometricSequences4.4 Generating non-linear sequences3 To generate and identify non-linear sequences from either aterm

1/2 13: Symmetry 13.1 Line symmetry and rotational symmetry 4 To recognise shapes that have reflective symmetry To draw lines of symmetry on a shape To recognise shapes that have rotational symmetry To find the order of rotational symmetry for a shape 13.2 Reflections To

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