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QEGS Maths Foundation Curriculum Maps




In mathematics we QUESTION the way that we interact with the world around us in terms of information and data we EXPLORE by creating mathematical models which help to decipher and predict a range of natural phenomena. We GIVE students the transferable skills such as problem solving, analytical and investigative expertise that they can use in other subjects to help. We SUCCEED by giving students the opportunities to both make mistakes and learn from them, developing their resilience and their ability to ask why things work and what they mean.

QEGS Year 9 Maths Foundation Curriculum Map

Focus Autumn 1 Autumn 2 Spring 1 Spring 2 Summer 1 Summer 2
Topic Consolidating year 7 and 8 topics and applying them to problem solving questions Consolidating year 7 and 8 topics and applying them to problem solving questions Consolidating year 7 and 8 topics and applying them to problem solving questions Extending knowledge on topics studied in y7,8 and the first part of year 9 Extending knowledge on topics studied in y7,8 and the first part of year 9 Extending knowledge on topics studied in y7,8 and the first part of year 9
Key concepts/ideas Negative numbers Addition and Subtraction Multiply and divide Fractions Introducing percentages as operators Probability words and the probability scale Permutations and combinations Measures and scales Maps and plans Introducing patterns and sequences Function machines and equations Angles Order of operations Fractions, Decimals, Percentages Revision Coordinates Conversion graphs Reflection and rotational symmetry Ordering decimals Rounding Recognising shapes, solids and parts of circles Perimeter, Area and volume Time Two way tables Venn diagrams Averages and Range Representing data Revision Rounding and estimation Properties of triangles and quadrilaterals Squares and cubes Factors and multiples Negative numbers Fractions, Decimals and percentages Enlargement, similarity and rotational symmetry Collecting like terms Formulae Equations Angles in parallel lines Revision
Key skills Negative numbers- ordering, solving problems, temperature change Addition and Subtraction- with decimals and integers Multiplication and division- integers including powers of 10, without a calculator Fractions- fractions of amounts Introducing percentages as operators- calculate percentages of amounts Probability words and the probability scale- understand and use vocabulary and scale Permutations and combinations- listing outcomes Measures and scales- converting in metric measures and interpreting scales Maps and plans- grid references, compass points, reading maps, direction Introducing patterns and sequences- recognise special sequences such as Fibonacci, continue and explain sequences in number and diagrams Function machines and equations- calculate inputs/outputs, solve equations with unknowns on one side. Substitution, Using formulae Angles- measure and draw all types of angle, calculate missing angles using angle facts Order of operations- calculate using BODMAS Fractions, Decimals, Percentages- Convert between Coordinates- plotting and identify in all 4 quadrants Conversion graphs- construct and interpret in a variety of applications Reflection and rotational symmetry- perform reflections, recognise reflective and rotational symmetry Ordering decimals Rounding- to powers of ten Recognising shapes, solids and parts of circles Perimeter, Area (counting squares) and volume (counting cubes) Time- calculate the time, intervals, start/finish times Two way tables- extract and use information from two-way tables, create two way tables, use Venn diagrams to record and sort information Averages and Range- mean, median, mode, range Representing data- draw and interpret a range of data tables/charts/diagrams Rounding and estimation- round to decimal places and significant figures Properties of triangles and quadrilaterals- missing angles in triangles/quadrilaterals, properties of quadrilaterals Squares and cubes- understand square/cube/roots Factors and multiples- identify factors and multiples, identify prime and common factors Negative numbers- performing the 4 operations Fractions, Decimals and percentages- recognise equivalent fractions, change between mixed/improper fractions, percentages of amounts with/without a calculator Rotational symmetry Enlargement and similarity- enlarging shapes and identifying similar/congruent shapes Collecting like terms- simplify expressions Formulae- substituting and deriving Equations- solving and exploring methods of solving Finding angles in parallel lines
Key terms/vocab Positive, Negative, Certain, Likely, Events, Even chance, Unlikely, Impossible, metres, millimetres, centimetres, kilometres, litres, millilitres, grams, kilograms, tonne, , = Decimals, Integers, Clockwise, Anticlockwise, Fibonacci, Arithmetic, Geometric, Obtuse, Reflex, Acute, Substitution, Formulae, BODMAS, Quadrants, Reflection, Rotation, Equilateral, Scalene, Radius, Diameter, Circumference, Cylinder, Cone, Cuboid, Sphere, Cube, Mean, mode, Median, Range, Venn diagrams Significant figures, Rhombus, Parallelogram, Trapezium, Square, Cube, Roots, Factors, Multiples, Mixed, Improper Equivalent Rotational, Enlargement, Similarity, Congruent, Simplify expressions Substitution, Parallel, Corresponding, Alternate, Vertically Opposite, Co-interior,
Independent learning/wider reading For more support and lots of practice questions go to www.mymaths.co.uk or www.mathswatch.co.uk For more support and lots of practice questions go to www.mymaths.co.uk or www.mathswatch.co.uk For more support and lots of practice questions go to www.mymaths.co.uk or www.mathswatch.co.uk For more support and lots of practice questions go to www.mymaths.co.uk or www.mathswatch.co.uk For more support and lots of practice questions go to www.mymaths.co.uk or www.mathswatch.co.uk
Assessment Mini assessment on recent topics studied Autumn assessment on topics covered so far in year 9 Mini assessment on recent topics studied Spring assessment on topics covered so far Mini assessment on recent topics studied Summer assessment on topics studied this year
Careers links/Future Learning Finance, Biologist, Chemist, Physicist, Business Analyst, Forecaster, Computer scientist, and many, many more! Maths is used in most occupations in one form or another! Continued studies lead to A level Maths/Further Maths, A level Biology/Chemistry/Maths, Economics, Psychology Finance, Biologist, Chemist, Physicist, Business Analyst, Forecaster, Computer scientist, and many, many more! Maths is used in most occupations in one form or another! Continued studies lead to A level Maths/Further Maths, A level Biology/Chemistry/Maths, Economics, Psychology Finance, Biologist, Chemist, Physicist, Business Analyst, Forecaster, Computer scientist, and many, many more! Maths is used in most occupations in one form or another! Continued studies lead to A level Maths/Further Maths, A level Biology/Chemistry/Maths, Economics, Psychology Finance, Biologist, Chemist, Physicist, Business Analyst, Forecaster, Computer scientist, and many, many more! Maths is used in most occupations in one form or another! Continued studies lead to A level Maths/Further Maths, A level Biology/Chemistry/Maths, Economics, Psychology Finance, Biologist, Chemist, Physicist, Business Analyst, Forecaster, Computer scientist, and many, many more! Maths is used in most occupations in one form or another! Continued studies lead to A level Maths/Further Maths, A level Biology/Chemistry/Maths, Economics, Psychology Finance, Biologist, Chemist, Physicist, Business Analyst, Forecaster, Computer scientist, and many, many more! Maths is used in most occupations in one form or another! Continued studies lead to A level Maths/Further Maths, A level Biology/Chemistry/Maths, Economics, Psychology

QEGS Year 10 Maths Foundation Curriculum Map

Focus Autumn 1 Autumn 2 Spring 1 Spring 2 Summer 1 Summer 2
Topic Under review: Route A: Consolidating year 7, 8 and 9 topics and applying them to problem solving questions.

Route B: Consolidating year 7, 8 and 9 topics and applying them to problem solving questions
Route A: Consolidating year 7, 8 and 9 topics and applying them to problem solving questions

Route B: Consolidating year 7, 8 and 9 topics and applying them to problem solving questions
Route A: Consolidating year 7, 8 and 9 topics and applying them to problem solving questions

Route B: Consolidating year 7, 8 and 9 topics and applying them to problem solving questions
Route A: Consolidating year 7, 8 and 9 topics and applying them to problem solving questions

Route B: Consolidating year 7, 8 and 9 topics and applying them to problem solving questions
Route A: Consolidating year 7, 8 and 9 topics and applying them to problem solving questions

Route B: Consolidating year 7, 8 and 9 topics and applying them to problem solving questions
Route A: Consolidating year 7, 8 and 9 topics and applying them to problem solving questions

Route B: Consolidating year 7, 8 and 9 topics and applying them to problem solving questions
Key concepts/ideas Route A: Average and range Pie Charts- construct and interpret Proportion Real life graphs Calculating with fractions 3-D shapes

Route B: Enlargement, similarity and rotational symmetry Collecting like terms Formulae Equations Angles in parallel lines Average and range
Route A: Sequences Formulae Brackets Map, scale drawings and bearings Constructions Probability Averages from grouped data Revision

Route B: Pie Charts- construct and interpret Proportion Real life graphs Calculating with fractions Revision 3-D shapes
Route A: Surveys Interpret data Calculating with decimals Percentage increase and decrease Using a calculator Order of operations Perimeter and area Circles/sectors/arcs

Route B: Sequences Formulae Brackets Map, scale drawings and bearings Constructions
Route A: Ratio Linear equations Linear graphs Plans and elevations Revision

Route B: Probability Averages from grouped data Revision Surveys Interpret data Revision Calculating with decimals Percentage increase and decrease Using a calculator Order of operations
Route A: Transformations Enlargement Units Indices Checking solutions Multiplying/dividing between 0 and 1 Standard form

Route B: Perimeter and area Circles/sectors/arcs Ratio Linear equations
Route A: Angles in polygons Revision

Route B: Linear graphs Plans and elevations Revision
Key skills Route A: Average and range- compare distributions and reviewing averages Pie Charts Proportion- Direct proportion Real life graphs- create and interpret in a variety of applications Calculating with fractions- all 4 operations including mixed for add/subtract Fractions and percentages- Express one quantity as a fraction/percentage of another 3-D shapes- Isometric drawing, nets, volume

Route B: Rotational symmetry Enlargement and similarity- enlarging shapes and identifying similar/congruent shapes Collecting like terms- simplify expressions Formulae- substituting and deriving Equations- solving and exploring methods of solving Finding angles in parallel lines Average and range- compare distributions and reviewing averages
Route A: Sequences- term to term rule and nth term Formulae- Use and generate simple formulae. Substitution. Brackets- Expand and factorise simple expressions. Map, scale drawings and bearings- estimating areas, interpreting maps/scale drawings, drawing bearings Constructions- Construct triangles, polygons and nets. Probability- listing outcomes, probability from experiments, equally likely outcomes, mutually exclusive events Averages from grouped data- Calculate mode from grouped data, mean from tabulated data and compare distributions.

Route B: Pie Charts Proportion- Direct proportion Real life graphs- create and interpret in a variety of applications Calculating with fractions- all 4 operations including mixed for add/subtract Fractions and percentages- Express one quantity as a fraction/percentage of another 3-D shapes- Isometric drawing, nets, volume
Route A: Surveys- Design and criticise questions. Know limitations of sampling, exam results of a statistical enquiry. Interpret graphs including two way tables and frequency polygons Calculating all 4 operations with decimals and no calculator Percentage increase and decrease- Using multipliers. Using a calculator including for time Perform calculations using the order of operations Perimeter and area- Calculate the perimeter and area of 2-D shapes. Find the surface area of simple solids. Circles- Name parts of a circle. Find area/circumference of circles (and sectors/arcs).

Route B: Sequences- term to term rule and nth term Formulae- Use and generate simple formulae. Substitution. Brackets- Expand and factorise simple expressions. Map, scale drawings and bearings- estimating areas, interpreting maps/scale drawings, drawing bearings Constructions- Construct triangles, polygons and nets.
Route A: Ratio- Simplifying, writing, solving problems and dividing into a given ratio. Linear equations- Set up and solve linear equations with integer coefficients (including unknowns on both sides and with brackets). Linear graphs- Use tables to plot linear graphs. Plans and elevations- Drawing and recognising 2-D representations of 3-D shapes.

Route B: Probability- listing outcomes, probability from experiments, equally likely outcomes, mutually exclusive events Averages from grouped data- Calculate mode from grouped data, mean from tabulated data and compare distributions. Surveys- Design and criticise questions. Know limitations of sampling, exam results of a statistical enquiry. Interpret graphs including two way tables and frequency polygons Calculating all 4 operations with decimals and no calculator Percentage increase and decrease- Using multipliers. Using a calculator including for time Perform calculations using the order of operations
Route A: Transformations- Translation, reflection and rotation. Add/subtract vectors. Draw vectors and multiply a vector by a scalar quantity. Enlargement- Using fractional and integer scale factors. Recognise congruency. Convert between units of area/volume. Indices- Use index laws to simplify expression. Use the zero index rule Check solutions to calculations by approximating or using inverse operations Looking at the effects of multiplying and dividing by numbers between 0 and 1. Convert between ordinary numbers and standard form

Route B: Perimeter and area- Calculate the perimeter and area of 2-D shapes. Find the surface area of simple solids. Circles- Name parts of a circle. Find area/circumference of circles (and sectors/arcs). Ratio- Simplifying, writing, solving problems and dividing into a given ratio. Linear equations- Set up and solve linear equations with integer coefficients (including unknowns on both sides and with brackets).
Route A: Transformations- Translation, reflection and rotation. Add/subtract vectors. Draw vectors and multiply a vector by a scalar quantity. Enlargement- Using fractional and integer scale factors. Recognise congruency. Convert between units of area/volume. Indices- Use index laws to simplify expression. Use the zero index rule Check solutions to calculations by approximating or using inverse operations Looking at the effects of multiplying and dividing by numbers between 0 and 1. Convert between ordinary numbers and standard form

Route B: Linear graphs- Use tables to plot linear graphs. Plans and elevations- Drawing and recognising 2-D representations of 3-D shapes.
Key terms/vocab Route A: Compare distributions, Mixed, Improper, Denominator, Numerator, Proportion, Expression, Substitution, Formulae, Parallel, Isometric,

Route B: Rotational, Enlargement, Similarity, Congruent, Simplify expressions Substitution, Parallel, Corresponding, Alternate, Vertically Opposite, Co-interior, Compare distributions, Mixed, Improper, Denominator, Numerator,
Route A: Nth term, Substitution, Formulae, Expand, Factorise, Bearings,

Route B: Proportion, Expression, Substitution, Formulae, Parallel, Isometric
Route A: Bias, Sample, Multiplier, BODMAS, Circumference, Radius, Diameter, Chord, Tangent, Arc, Segment, Sector,

Route B: Nth term, Substitution, Formulae, Expand, Factorise, Bearings,
Route A: Coefficient, Linear, Plan view, Elevation

Route B: Bias, Sample, Multiplier, BODMAS, Circumference, Radius, Diameter, Chord, Tangent, Arc, Segment, Sector,
Route A: Translation, Rotation, Reflection, Enlargement, Scale factor, , Vector, SSS, SAS, ASA, RHS, Congruence, Indices, Powers, Standard form

Route B: Coefficient, Linear,
Route A: Polygon, Interior, Exterior, Alternate, Corresponding, Co-interior,

Route B: Plan view, Elevation
Independent learning/wider reading Route A and B: For more support and lots of practice questions go to www.mymaths.co.uk or www.mathswatch.co.uk Route A and B: For more support and lots of practice questions go to www.mymaths.co.uk or www.mathswatch.co.uk Route A and B: For more support and lots of practice questions go to www.mymaths.co.uk or www.mathswatch.co.uk Route A and B: For more support and lots of practice questions go to www.mymaths.co.uk or www.mathswatch.co.uk Route A and B: For more support and lots of practice questions go to www.mymaths.co.uk or www.mathswatch.co.uk Route A and B: For more support and lots of practice questions go to www.mymaths.co.uk or www.mathswatch.co.uk
Assessment Route A and B: Mini assessment on recent topics studied Route A and B: Autumn test on topics studied so far Route A and B: Mini assessment on recent topics studied Route A and B: Spring test on topics studied so far Route A and B: Mini assessment on recent topics studied Route A and B: End of year assessment- past paper
Careers links/Future Learning Route A and B: Finance, Biologist, Chemist, Physicist, Business Analyst, Forecaster, Computer scientist, and many, many more! Maths lends itself to most occupations in one way or another. Continued studies lead to A level Maths/Further Maths, A level Biology/Chemistry/Maths, Economics, Psychology Route A and B: Finance, Biologist, Chemist, Physicist, Business Analyst, Forecaster, Computer scientist, and many, many more! Maths lends itself to most occupations in one way or another. Continued studies lead to A level Maths/Further Maths, A level Biology/Chemistry/Maths, Economics, Psychology Route A and B: Finance, Biologist, Chemist, Physicist, Business Analyst, Forecaster, Computer scientist, and many, many more! Maths lends itself to most occupations in one way or another. Continued studies lead to A level Maths/Further Maths, A level Biology/Chemistry/Maths, Economics, Psychology Route A and B: Finance, Biologist, Chemist, Physicist, Business Analyst, Forecaster, Computer scientist, and many, many more! Maths lends itself to most occupations in one way or another. Continued studies lead to A level Maths/Further Maths, A level Biology/Chemistry/Maths, Economics, Psychology Route A and B: Finance, Biologist, Chemist, Physicist, Business Analyst, Forecaster, Computer scientist, and many, many more! Maths lends itself to most occupations in one way or another. Continued studies lead to A level Maths/Further Maths, A level Biology/Chemistry/Maths, Economics, Psychology Route A and B: Finance, Biologist, Chemist, Physicist, Business Analyst, Forecaster, Computer scientist, and many, many more! Maths lends itself to most occupations in one way or another. Continued studies lead to A level Maths/Further Maths, A level Biology/Chemistry/Maths, Economics, Psychology

QEGS Year 11 Maths Foundation Curriculum Map

Focus Autumn 1 Autumn 2 Spring 1 Spring 2 Summer 1 Summer 2
Topic Extending knowledge onto new topics and furthering knowledge on existing topics Extending knowledge onto new topics and furthering knowledge on existing topics Extending knowledge onto new topics and furthering knowledge on existing topics Extending knowledge onto new topics and furthering knowledge on existing topics. Revision and consolidation. Extra time to spend on topics if needed. EXAM!
Key concepts/ideas Fractions Algebra Checking solutions Powers and Roots Graphs Averages and scatter graphs Pythagoras and Trigonometry Linear simultaneous equations Probability Real life graphs and compound measures Loci and accuracy Prisms and Units Revision
Key skills Fractions Convert a simple fraction to a decimal using division Use and understand terminating and recurring decimals Use percentages to compare proportion Use and find percentage change Calculate simple interest Use fractions or percentages to solve problems involving repeated proportional changes or the calcula-tion of the original quantity given the result of proportional change Use the four operations on fractions, including mixed numbers Use and understand the terms reciprocal, highest common factor, lowest common multiple, prime number Find the prime factor decomposition of positive integers Algebra Square a linear expression and expand and simplify the product of two linear expressions and simplify the resulting quadratic Factorise quadratic expressions including the difference of two squares Solve quadratics by factorising Argue mathematically to show equivalence of algebraic expressions Generate integer sequences using a rule for the nth term Use linear expressions to describe the nth term of an arithmetic sequence Find the next term in a quadratic sequence and functions and explore their properties Evaluate algebraic formulae, substituting fractions, decimals and negative numbers Change the subject of a formula in cases where the subject only appears once Include powers and the subject on both sides Solve simple linear equations in one variable and represent the solution set on a number lines using convention distinguishing <, >, ≤, ≥ Checking Solutions Check solutions to calculations by approximating or by using inverse operations Recognise the effect of multiplying and dividing numbers lesson than one and greater than one Powers and Roots Use the index laws with numerical and algebraic expressions involving multiplication and division of positive integer powers Use the terms cube root and negative square root Graphs Plot graphs of linear functions Find the gradient of linear graphs Find the equation of a line Find the equation of a line through 2 points or one point and a gradient Generate points and plot graphs of simple quadratic functions Use these to find approximate solutions, turning points and lines of symmetry of simple related equa-tions Generate points and plot graphs of simple cubic and reciprocal functions Use these to find approximate solutions to simple related equations Sketch, interpret and identify graphs of linear, quadratic, cubic and reciprocal functions and graphs that model real life situations (focus on roots, turning points and intercepts) Averages and scatter graphs Calculate mean from grouped continuous data Draw and interpret scatter graphs for discrete and continuous variables Understand the types of correlation Use and understand lines of best fit Pythagoras and Trigonometry Use trigonometry in 2D contexts with right angled triangles Know specified exact values in trigonometry Linear simultaneous equations Solve simultaneous equations graphically and interpret the equations as lines and their common solu-tion as the point of intersection Solve two simultaneous equations by adding or subtracting them Solve two simultaneous equations where one or both equations have to be multiplied Set up two linear simultaneous equations from a problem Probability Use and understand estimates of probability from theoretical models or experimental data Understand that empirical samples tend towards theoretical probability distributions with increased sample size Use tree diagrams to calculate probabilities of combinations of independent and dependent events Real life graphs and compound measures Draw and interpret graphs modelling real life situations, which may be non-linear, including simple quadratic graphs Use inverse and direct proportionality, including graphical and algebraic representations Understand and use rates and compound measures, for example, speed, density, rate of flow, pres-sure Include rates of pay and unit pricing Loci and accuracy Construct loci to show paths and shapes Use straight edge and a pair of compasses to produce standard constructions, including mid-points and perpendicular bisec-tors of a line segment and the bisector of an angle Know that perpendicular dis-tance from a point to a line is the shortest distance Recognise that a measurement given to the nearest whole unit may be inaccurate by up to half a unit in either direction Error intervals Prisms and Units Calculate the surface area and volume of right prisms including cylinders Convert between measure-ments for area or for volume for example between mm^2 and cm^2 and between cm^3 and litres Know the properties of and cal-culate volume and surface area of pyramids, spheres and cones Exam
Key terms/vocab Linear, Perimeter, Area, 2-way table, Plans, Elevations, Rotation, Reflection, Translation, Vector, Scalar, Enlargement, Scale factor, Congruence, Similarity, Compound interest, Theoretical probability, Experi-mental probability, Independent events, Dependent events Polygon, Exterior, Interior, Standard form, Indices, Powers, Positive and negative correlation. Sine, Cosine and Tangent. Average, Mean, Mode, Modal, Median and Range. Discrete and Continuous. Grouped Data Less than and More than. Length, Area and Volume. Density, Pressure, Force, Mass, Speed, and Distance. Reciprocal, Prime number, Factor, HCF, Multiple, LCM, Product. Subject, Formula, Solve. Midpoint, Perpendicular, Bisect. Nth Term. 2d Shapes: types of triangles and quadrilaterals. 3d Shapes: Prism, Cuboid, Spere, Cylinder. Numerator, Denominator. Improper and Mixed Number. Factorise and Expand Solve Similar and congruent
Independent learning/wider reading For more support and lots of practice questions go to www.mymaths.co.uk or www.mathswatch.co.uk For more support and lots of practice questions go to www.mymaths.co.uk or www.mathswatch.co.uk For more support and lots of practice questions go to www.mymaths.co.uk or www.mathswatch.co.uk For more support and lots of practice questions go to www.mymaths.co.uk or www.mathswatch.co.uk For more support and lots of practice questions go to www.mymaths.co.uk or www.mathswatch.co.uk For more support and lots of practice questions go to www.mymaths.co.uk or www.mathswatch.co.uk
Assessment October assessment x1 past paper November mock- full set of papers Past paper practice March mock Practice papers/GCSE GCSE
Careers links/Future Learning Finance, Biologist, Chemist, Physicist, Business Analyst, Forecaster, Computer scientist, many, many more- Maths links into most occupations in one way or another! Continued studies lead to A level Maths/Further Maths, A level Biology/Chemistry/Maths, Economics, Psychology Finance, Biologist, Chemist, Physicist, Business Analyst, Forecaster, Computer scientist, many, many more- Maths links into most occupations in one way or another! Continued studies lead to A level Maths/Further Maths, A level Biology/Chemistry/Maths, Economics, Psychology Finance, Biologist, Chemist, Physicist, Business Analyst, Forecaster, Computer scientist, many, many more- Maths links into most occupations in one way or another! Continued studies lead to A level Maths/Further Maths, A level Biology/Chemistry/Maths, Economics, Psychology Finance, Biologist, Chemist, Physicist, Business Analyst, Forecaster, Computer scientist, many, many more- Maths links into most occupations in one way or another! Continued studies lead to A level Maths/Further Maths, A level Biology/Chemistry/Maths, Economics, Psychology Finance, Biologist, Chemist, Physicist, Business Analyst, Forecaster, Computer scientist, many, many more- Maths links into most occupations in one way or another! Continued studies lead to A level Maths/Further Maths, A level Biology/Chemistry/Maths, Economics, Psychology Finance, Biologist, Chemist, Physicist, Business Analyst, Forecaster, Computer scientist, many, many more- Maths links into most occupations in one way or another! Continued studies lead to A level Maths/Further Maths, A level Biology/Chemistry/Maths, Economics, Psychology