Curriculum Topic Maps : 2012 + This document gives an outline of the topics covered in all year groups in Key Stage 3 and Key Stage 4. It is a guide for students, parents and staff to aid familiarisation and provide an overview of the curriculum, assessments, accreditation and suggested background reading, websites etc for the year. Adjustments may occur due to timing issues. Mathematics CURRICULUM TOPIC MAP 2012 + : SUBJECT:MATHEMATICS TOPIC/YEAR GROUP YEAR 7 1ST AUTUMN HALF TERM Brief topic outline. Assessments/accreditation/Exams. Suggested reading/ websites etc. AUTUMN 2ND HALF TERM Brief topic outline. Assessments/accreditation/Exams. Suggested reading/ websites etc. SPRING 1ST HALF TERM Brief topic outline. Assessments/accreditation/Exams. Suggested reading/ websites etc. SPRING 2ND HALF TERM Brief topic outline. Assessments/accreditation/Exams. Suggested reading/ websites etc. SUMMER 1ST HALF TERM Brief topic outline. Assessments/accreditation/Exams. Suggested reading/ websites etc. SUMMER 2ND HALF TERM Brief topic outline. Assessments/accreditation/Exams. Suggested reading/ websites etc. Statistics: Collect data; construct diagrams and graphs to represent discrete data including pictograms and bar graphs. Number & Algebra: Recognise and describe number sequences and relationships, and use simple formulae expressed in words. Shape & Space: Use line and rotational symmetry to solve problems in 2-dimensions. ASSESSMENT 1 (Revision sheet available) Number: Use place value to calculate with decimals including adding and subtracting decimals to 2 decimal places, and multiplying and dividing decimals by 10, 100 and 1000. Probability: Understand and use the language of probability, and use the probability scale from 0 to 1. Number: Understand the effects of the 4 operations and brackets on calculations. ASSESSMENT 2. (Revision sheet available). Shape & Space: Classify angles by type; measure and draw angles; solve problems using angle properties; construct triangles from given information. Algebra: Appreciate the use of letters to represent variables or unknowns. Construct and use simple formulae involving one or two operations. Simplify algebraic expressions by collecting like terms. Number: Use negative numbers in a variety of contexts; add and subtract directed numbers. ASSESSMENT 3. (Revision sheet available) Algebra: Form, manipulate and solve simple linear equations by applying inverse operations. Number: Use fractions to describe parts of the whole; equivalence of fractions; converting between mixed numbers and improper fractions. Shipwrecked themed approach covering measures Imperial and metric, areas and perimeters of rectilinear shapes and use of coordinates. END OF YEAR ASSESSMENT. (Revision sheet available) TOPIC/YEAR GROUP AUTUMN 1ST HALF TERM Brief topic outline. Assessments/accreditation/Exams. Suggested reading/ websites etc. AUTUMN 2ND HALF TERM Brief topic outline. Assessments/accreditation/Exams. Suggested reading/ websites etc. YEAR 8 Fast YEAR 8 Middle YEAR 8 Slow Shape & Space: use angle properties of parallel and intersecting lines; use symmetry to explain and use angle properties of different triangles; use 3-figure bearings. Number: calculate percentage parts of quantities; use equivalence of fractions, decimals and percentages. Shape & Space: use angle properties of intersecting lines; use symmetry to explain and use angle properties of different triangles. Shape & Space: classify types of angles; use a protractor to measure and draw angles; use angle properties of intersecting lines. Number: calculate simple percentage parts of quantities based on 10%, multiples and fractions of this; use equivalence of fractions, decimals and percentages. ASSESSMENT 1 (Revision sheet available) Number: understand the concept of a percentage as being out of 100; calculate 50%, 25% and other simple percentages based on 10%. Statistics: use questionnaires to follow lines of enquiry or to test hypotheses; begin to develop an understanding of bias; collect and record discrete and continuous data; construct appropriate graphs and diagrams to represent discrete and continuous data, including bar charts, pie charts and scatter graphs; calculate values of the mode, median, mean and range of discrete data; identify correlation and draw a line of best fit on a scatter graph by inspection. Statistics: use questionnaires to collect and record discrete data; construct and interpret graphs to represent discrete data including bar graphs and pictograms; calculate values of the mode, median, mean and range of discrete data. ASSESSMENT 2 (Revision sheet available) ASSESSMENT 2 (Revision sheet available) ASSESSMENT 1 (Revision sheet available) Statistics: use questionnaires to follow lines of enquiry or to test hypotheses; begin to develop an understanding of bias; collect and record discrete and continuous data; construct appropriate graphs and diagrams to represent discrete and continuous data, including bar charts, pie charts and scatter graphs; calculate values of the mode, median, mean and range of discrete data; calculate values of the mean from a frequency table of discrete data; identify correlation and draw a line of best fit on a scatter graph by inspection. ASSESSMENT 2 (Revision sheet available) ASSESSMENT 1 (Revision sheet available) SPRING 1ST HALF TERM Brief topic outline. Assessments/accreditation/Exams. Suggested reading/ websites etc. SPRING 2ND HALF TERM Brief topic outline. Assessments/accreditation/Exams. Suggested reading/ websites etc. SUMMER 1ST HALF TERM Brief topic outline. Algebra: simplify algebraic expressions including those involving multiplication, quotients and powers; form and solve linear equations including those where the unknown appears in more than one term. Shape & Space: find perimeter and area of triangles and rectilinear shapes including parallelogram, trapezium, kite, rhombus and composite shapes; find lengths in squares, rectangles and triangles. ASSESSMENT 3 (Revision sheet available) Algebra: simplify algebraic expressions including those involving multiplication, quotients and powers; form and solve linear equations where the unknown only appears once. Shape & Space: find perimeter and area of triangles and rectilinear shapes including parallelograms; find lengths in squares, rectangles and triangles. Algebra: appreciate the use of letters to represent unknowns; simplify algebraic expressions by collecting like terms; make formulae expressed in words or symbols; substitute numbers into simple formulae. Shape & Space: find the area of a shape by counting squares; use a formula to find the area of a rectangle or triangle; find the perimeter of a rectangle. ASSESSMENT 3 (Revision sheet available) ASSESSMENT 3 (Revision sheet available) Number: use non-calculator methods for multiplying up to 2 digit numbers by 2 digit numbers; use place value in whole numbers and decimals in computation Money and Measures: use graphs to convert between foreign exchange rates and between Imperial and metric measures; know Imperial measures in common use and their approximate metric equivalents. Number: use non-calculator methods for multiplying up to 2 digit numbers by 2 digit numbers; use place value in whole numbers and decimals in computation Money and Measures: use graphs to convert between foreign exchange rates and between Imperial and metric measures; know Imperial measures in common use and their approximate metric equivalents. Number: practise times tables; use known times table facts to solve everyday problems involving multiplication and division. Number: calculate using ratios in appropriate situations; use and interpret scale on maps and drawings Number: calculate using ratios in appropriate situations. ASSESSMENT 4 (Revision sheet available) ASSESSMENT 4 (Revision sheet available) Number: multiply and divide directed numbers. Number: multiply and divide directed numbers. Measures: use standard units of length, capacity, mass and time; understand and use the 12 and 24 hour clock; understand and use tables and charts that represent information. Number: calculate with ratios in the context of everyday problems including recipes. ASSESSMENT 4 (Revision sheet available) Number: use and understand negative numbers in context; add and subtract directed numbers. Assessments/accreditation/Exams. Suggested reading/ websites etc. SUMMER 2ND HALF TERM Brief topic outline. Assessments/accreditation/Exams. Shape & Space: find volumes in cuboids and other prisms. Shape & Space: find volumes of cubes and cuboids. Number: add and subtract fractions including mixed number fractions. Number: add and subtract fractions including mixed number fractions. Algebra: solve linear equations with negative number solutions, including equations where the unknown appears in more than one term; solve quadratic equations by trial and improvement methods. Probability: use the probability scale from 0 to 1; calculate expected outcomes based on theoretical probability; calculate probability of combined events by listing outcomes. END OF YEAR EXAM (Revision sheet available) Algebra: solve linear equations with Algebra: solve simple linear negative number solutions and in equations using inverse operations which the unknown appears in only (Robert and Trebor). one term. Probability: use the probability scale from 0 to 1; calculate expected outcomes based on theoretical probability; calculate probability of combined events by listing outcomes. END OF YEAR EXAM (Revision sheet available) Shape & Space: find volumes of solids by counting cubes; use the formula for volume of a cuboid. Number: use fractions to describe parts of a whole; find fractions of a given quantity; Probability: use the language of probability to describe the probability of an event; use the probability scale from 0 to 1. END OF YEAR EXAM (Revision sheet available) TOPIC/YEAR GROUP YEAR 9 Fast YEAR 9 Middle YEAR 9 Slow 1ST AUTUMN HALF TERM Brief topic outline. Assessments/accreditation/Exams. Suggested reading/ websites etc. AUTUMN 2ND HALF TERM Brief topic outline. Assessments/accreditation/Exams. Suggested reading/ websites etc. Algebra: generate and generalise simple number sequences; find and describe the rule for the nth term for linear and quadratic sequences; construct and interpret graphs of linear and simple quadratic functions. Shape & Space: solve problems using angle and symmetry properties of polygons. Number: round to an appropriate degree of accuracy including decimal places and significant figures; make estimates in calculations by rounding numbers to one significant figure. ASSESSMENT 1 (revision sheet provided) Statistics: construct grouped frequency diagrams and polygons to represent discrete and continuous data; estimate mean for grouped data; compare distributions using measures of average and range; choose the most suitable average for a given set of data. Algebra: construct and use simple formulae involving one or two operations. Number: use all four operations for whole numbers to solve everyday problems especially those concerning money. Use a calculator efficiently. Shape and space: use angle properties of parallel and intersecting lines; apply angles work to describing 3-figure bearings. Number: round to an appropriate degree of accuracy including decimal places; make estimates in calculations by rounding to the nearest 10 or 100. Shape and space: measure and draw angles accurately; use angle properties of intersecting lines; use angle properties of triangles. ASSESSMENT 1 (revision sheet provided) Statistics: construct grouped frequency diagrams to represent discrete and continuous data; calculate mean, median and mode (ungrouped data); compare distributions using measures of average and range; choose the most suitable average for a given set of data. ASSESSMENT 1 (revision sheet provided) Algebra: appreciate the use of letters to represent unknowns; simplify by collecting like terms; substitute into formulae. Number: work with decimals; multiply and divide by 10, 100 and 1000 round to the nearest whole number. Solve problems involving decimals. SPRING 1ST HALF TERM Brief topic outline. Assessments/accreditation/Exams. Suggested reading/ websites etc. SPRING 2ND HALF TERM Brief topic outline. Assessments/accreditation/Exams. Algebra: manipulate algebraic expressions including those involving brackets; form and solve linear equations including those involving brackets. Algebra; manipulate algebraic expressions including those involving brackets. Preparing for Christmas: calculate involving money; read timetables and TV listings; convert units between metric and imperial units using graphs and charts; use proportion in the context of recipes; nets. Transformations: transform shapes using reflection, rotation, translation or enlargement (positive whole number or fractional scale factor) ASSESSMENT 2 (revision sheet provided) Number: calculate a percentage of a given amount (using calculator); increasing or decreasing an amount by a given percentage; express on quantity as a percentage of another; find simple interest. Transformation: transform shapes using reflection, rotation, translation or enlargement (positive whole number scale factor) ASSESSMENT 2 (revision sheet provided) Number: calculate a percentage of a given amount (using calculator); increasing or decreasing an amount by a given percentage; express on quantity as a percentage of another. Transformations: transform shapes using reflection, rotation. Shape and space: use formulae for finding the area and circumference of a circle; find the area and perimeter of compound shapes involving parts of a circle. Algebra: generate and generalise simple number sequences; find and describe the rule for the nth term for linear sequences. Algebra: solve simultaneous equations. Probability: understand and use equally likely outcomes to calculate probability; calculate the probability of combined events by listing outcomes. My Retail Experience Theme: apply the four rules of number to positive whole numbers; find a percentage of a quantity; add and subtract decimals; find simple fractions of quantities; use reflective and rotational symmetry; identify 2D shapes and their properties. Probability: understand vocabulary of probability; use the probability scale from 0 to 1. ASSESSMENT 2 (revision sheet provided) Number: working with decimals and whole numbers; rounding decimals to the nearest whole number. Apply four rules of number to solve problems. Suggested reading/ websites etc. SUMMER 1ST HALF TERM Brief topic outline. Assessments/accreditation/Exams. Suggested reading/ websites etc. SUMMER 2ND HALF TERM Brief topic outline. Assessments/accreditation/Exams. Suggested reading/ websites etc. ASSESSMENT 3 (revision sheet provided) Assessed investigation: Cargoes. ASSESSMENT 3 (revision sheet provided) Assessment investigation: Pool Table. ASSESSMENT 3 (revision sheet provided) Number: multiply and divide fractions, including those involving mixed numbers. Shape and space: use formulae for finding the area and circumference of a circle; find area and perimeter of a semi-circle or quarter circle. Algebra: form and solve simple linear equations with the unknown on both sides; form and solve linear equations involving brackets. Shape and space: use formulae for finding perimeter and area of rectangles, triangles and compound shapes. Gardening Theme: calculate area and perimeter of square, rectangles, triangles and composite shapes of these; understand and use ratios; simplify algebraic expressions by collecting like terms; substitute into formulae involving brackets. Number: understand and use index notation; express a number as a product of its prime factors in index form. Number: use and understand ratio including scale diagrams and maps. Travel and Tourism Theme: calculate mean, median, mode and range for discrete data; use the probability scale from 0 to 1; collect data in a frequency table and display information in an appropriate way. Algebra: form and solve linear inequalities in one variable using algebraic method. Shape and space: construct the locus of a point from given information. END OF YEAR EXAM Algebra: construct and interpret graphs of linear functions. Shape and space: use Pythagoras’ theorem to solve right-angled triangles. Shape and space: calculate the volume of cuboids and simple prisms. END OF YEAR EXAM END OF YEAR EXAM TOPIC/YEAR GROUP YEAR 10 Foundation YEAR 10 Higher 1ST AUTUMN HALF TERM Brief topic outline. Assessments/accreditation/Exams. Suggested reading/ websites etc. AUTUMN 2ND HALF TERM Brief topic outline. Assessments/accreditation/Exams. Suggested reading/ websites etc. Percentages: equivalence of fractions, decimals and percentages; finding a percentage of a quantity; expressing one quantity as a percentage of another. Percentages: equivalence of fractions, decimals and percentages; finding a percentage of a quantity; fractional and percentage changes; expressing one quantity as a percentage of another. Algebra: forming and simplifying expressions including powers; multiply two linear expressions (FOIL); extract common factors. Algebra: understand the conventions of algebra; forming and simplifying expressions including powers; collect like terms and extract common factors. ASSESSMENT FOR SETS 3 & 4 TO CONFIRM CORRECT TIER OF STUDY. Shape & space: understand geometrical Shape & Space: understand geometrical terms and vocabulary of shapes; interpret terms and vocabulary of shapes; interpret and draw nets; represent 3D shapes on 2D and draw nets; represent 3D shapes on 2D isometric paper; know and use properties of isometric paper; know and use properties of quadrilaterals. quadrilaterals; reflection and rotation symmetry of 2D and 3D objects. Probability: vocabulary of probability; use of probability scale from 0 to 1. ASSESSMENT 1 (Revision sheet provided). Number: understand place value with decimals and use to round numbers to a given number of decimal places; apply four operations to decimals. Four operations applied to negative numbers. Use estimation to approximate answers in multiplication and division problems. Probability: calculate probability based on equally likely outcomes; estimate probability using relative frequency based on experimental evidence; calculate probability of combined events by listing outcomes. ASSESSMENT 1 (Revision sheet provided). Number: round numbers to a given number of decimal places or significant figures; use non-calculator methods of multiplying and dividing up to 3 digit numbers by 2 digit numbers; apply all 4 operations to decimals, fractions and negative numbers; use estimation to approximate answers in multiplication and division problems. SPRING 1ST HALF TERM Brief topic outline. Assessments/accreditation/Exams. Suggested reading/ websites etc. Algebra: form and solve linear equations including simple fractional equations. Shape & space: use properties of parallel and intersecting lines to solve problems. Probability: estimate probability using relative frequency based on experimental evidence. ASSESSMENT 2 (revision sheet provided) Algebra: form and solve linear equations including simple fractional equations; form and solve simple linear inequalities; form and solve 2 linear simultaneous equations. Shape & space: use properties of parallel and intersecting lines to solve problems. Probability: use tree diagrams to calculate probabilities of combinations of 2 events; understand and use ideas of mutually exclusive and independent events; solve problems of conditional probability. ASSESSMENT 2 (revision sheet provided) 2ND SPRING HALF TERM Brief topic outline. Assessments/accreditation/Exams. Suggested reading/ websites etc Calculating bills: basic principles of personal and household finance (fuel bills, hire purchase, VAT, tax, discount, best buys, wages and salaries). Programming schedules and time tables (TV programme schedules, bus and rail time tables, holiday booking information) Profit and loss. Algebra: change the subject of a formula (subject appears in one term only) Shape & space: describe reflection and rotation symmetry. Probability: calculate probability of combined events by listing outcomes. ASSESSMENT 3 (revision sheet provided) Calculating bills: basic principles of personal and household finance (fuel bills, hire purchase, VAT, tax, discount, best buys, wages and salaries). Programming schedules and time tables (TV programme schedules, bus and rail time tables, holiday booking information) Profit and loss. Algebra: change of subject of a formula (subject may appear in more than one term) Transformations: transform shapes using reflection, rotation, translation or enlargement (positive or negative scale factor); perform 2 successive transformations. Number: express and use numbers in standard form with positive and negative powers of 10. ASSESSMENT 3 (revision sheet provided) SUMMER 1ST HALF TERM Brief topic outline. Number: understand and use index notation; understand and use the rules of indices (positive indices only) Express a number as a product of its prime factors in index form. Straight line graph: coordinates in all four quadrants; draw, interpret and recognise linear graphs; understand the relevance of m and c in the equation y = mx + c. Drawing shapes on graphs. Number: four rules of number applied to fractions; find a fraction of a quantity; recognise that recurring decimals are exact fractions. ASSESSMENT 4 (revision sheet provided) Graphs: draw, interpret and recognise linear graphs; understand the relevance of m and c in the equation y = mx + c; draw and interpret quadratic, cubic and reciprocal graphs, and combinations of these. Shape & space: understand and use angle and tangent properties of circles; understand and construct geometric proofs using circle theorems. Algebra: use straight line graphs to locate regions given by linear inequalities. Assessments/accreditation/Exams. Curved graphs: construct quadratic and simple cubic graphs. Find the minimum point on a curved graph. Shape & space: transformations including reflections, rotations, translations and enlargements (positive scale factor) Tessellations. Suggested reading/ websites etc. Algebra: form and solve linear inequalities. Assessments/accreditation/Exams. Suggested reading/ websites etc. Number: use index notation for positive, negative, zero and fractional indices; simplify expressions involving powers. ASSESSMENT 4 (revision sheet provided) 2ND SUMMER HALF TERM Brief topic outline. Number: distinguish between rational and irrational numbers; use surds and π in exact calculations; convert recurring decimals to fractional form; simplify numerical expressions involving surds Algebra: interpret and apply the transformation of graphs; understand and use functional notation f(x) TOPIC/YEAR GROUP YEAR 11 Foundation YEAR 11 Higher Percentages: equivalence of fractions, decimals and percentages; find a percentage of a quantity; calculate simple and compound interest; calculate percentage change and profit and loss. Algebra: substitute numbers into simple formulae expressed in words or symbols. Percentages: find a percentage of a quantity; compound interest; find the original quantity given the results of a percentage increase or decrease; calculate percentage change. Algebra: factorise quadratic expressions; form and manipulate quadratic equations; solve quadratic equations by factorising; solve fractional equations. Standard form: calculate with numbers in standard form using a calculator. 1ST AUTUMN HALF TERM Brief topic outline. Assessments/accreditation/Exams. Suggested reading/ websites etc. Ratio: calculate using ratios in a variety of situations; Interpret and construct scale diagrams; Calculate using foreign currencies and exchange rates. AUTUMN 2ND HALF TERM Unit 2 exam in November. Statistics: design and critique questionnaires and consider bias; understand and use tallying methods; construct and interpret frequency diagrams including pictograms, bar charts and pie charts. Brief topic outline. Assessments/accreditation/Exams. Suggested reading/ websites etc. SPRING 1ST HALF TERM Brief topic outline. Area & Perimeter: estimate area of irregular shapes; calculate area and perimeter of triangles, quadrilaterals; circles and composite shapes. Algebra: form and solve linear equations including simple fractional equations. Mock exams. Unit 2 exam in November Statistics: construct and interpret grouped frequency diagrams; calculate measures of spread and average, including for grouped data; construct and interpret cumulative frequency tables and diagrams; estimate median and interquartile range from the cumulative frequency diagram. Similar figures: understand the idea of similarity; use the relationships between the ratios of lengths, areas and volumes of similar figures and solids. Algebra: solve a range of quadratic and cubic equations by trial and improvement. Mock exams. Real-life graphs: construct and interpret graphs that describe real-life situations; Graphs: solve quadratic equations using graphical methods. Assessments/accreditation/Exams. Suggested reading/ websites etc. construct and interpret conversion graphs and travel graphs Statistics: select and use an appropriate average; calculate mean, median and mode for discrete data; identifying modal class and class containing median for tabular data; estimate mean of grouped frequency distributions. Locus: accurate use of ruler, pair of compasses and protractor; constructions of shapes and angles; constructing the locus of a point from one or two points or lines. Volume: calculate volumes of cubes, cuboids, prisms, cylinders and composite solids Right-angled triangles: use Pythagoras’ theorem in 2D and 3D problems; use sin, cos and tan in right-angled triangles to solve problems, including those involving bearings, and angles of elevation or depression. Upper and lower bounds in measurement: find the upper and lower bounds for numbers expressed to a given degree of accuracy particularly in the context of measurement; calculate the upper and lower bounds in calculations involving the 4 rules of number. Algebra: solve quadratic equations using the formula. Locus: accurate use of ruler, pair of compasses and protractor; constructions of shapes and angles; construct the locus of a point. Algebra: direct and inverse proportion. SPRING 2ND HALF TERM Brief topic outline. Assessments/accreditation/Exams. Suggested reading/ websites etc. Lunch time/after school revision lessons start. Upper and lower bounds: find the upper and lower bounds for numbers expressed to a given degree of accuracy particularly in the context of measurement Shape & Space: find congruent shapes and understand the relationship between sides in similar figures. Algebra: solve a range of quadratic and cubic equations by trial and improvement methods Lunch time/after school revision lessons start. Trigonometry: use sin rule and cos rule to solve triangles in 2D and 3D. Histograms: construct and interpret histograms; interpret histograms representing distributions with reference to mean and spread. Areas and volumes: calculate volumes of spheres, cones and pyramids; calculate lengths of circular arcs; calculate areas of SUMMER 1ST HALF TERM Brief topic outline. Assessments/accreditation/Exams. Suggested reading/ websites etc. SUMMER 2ND HALF TERM Brief topic outline. Assessments/accreditation/Exams. Suggested reading/ websites etc. Measure: use compound measures including speed and density. Shape & Space: understand and use angle facts of polygons; know vocabulary associated with polygons. Statistics: construct and interpret scatter diagrams; draw and use line of best fit. Shape & Space: understand and use Pythagoras’ theorem to solve right-angled triangles in 2D. REVISION. sectors and segments of circles; calculate area of triangle using ½ absinC. Numerical proportion: direct and inverse proportion to solve numerical problems. Graphs: construct and use tangents to curves to estimate rates of change; use trapezium rule to estimate area under a curve; apply these to distance-time and velocity-time graphs. Congruency: understand and use conditions to prove congruency of triangles. Graphs of trig functions: sketch trig graphs; use properties of these graphs to solve simple trig equations. REVISION.