QEGS Maths Higher 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 Higher Curriculum Map |
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| 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 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 |
| Key concepts/ideas | Calculating with fractions Percentages Lines and angles Constructions Probability | Averages from grouped data Formulae, Brackets Linear equations Revision | Calculating with decimals Ratio Surface area Circles Two way table Surveys | Linear graphs Plans and elevations Transformations Revision | Transformations Linear graphs Fractions, Decimals, Percentages | Probability Angles in polygons Real life graphs Indices Checking solutions to calculations Pythagoraas Revision |
| Key skills | Calculating with fractions- all 4 operations, equivalence Fractions and percentages- express one quantity as a fraction/percentage of another, % increase/decrease (multipliers) Lines and angles- understand and use the angle properties of parallel and intersecting lines Constructions- Construct triangles, polygons and nets Probability- mutually exclusive events, expected outcomes, relative frequency | Averages from grouped data- calculate mode from grouped data, mean from tabulated data, compare distributions (identify outliers) Substitution, use/generate formulae, expand/factorise single brackets Linear equations- set up and solve linear equations with integer coefficients (including unknowns on both sides and with brackets) | Averages from grouped data- calculate mode from grouped data, mean from tabulated data, compare distributions (identify outliers) Substitution, use/generate formulae, expand/factorise single brackets 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 Transformations- translation, reflection, rotation, add/subtract vectors, draw vectors and multiply a vector by a scalar quantity | Enlargement Recognise congruency, convert between units of area/volume Linear graphs- gradient, equation of a line Fractions, Decimals, Percentages- know the difference between terminating and recurring decimals, converting, find percentage change, simple interest, compound interest | Probability- theoretical and experimental probabilities, tree diagrams Real life graphs- Inverse and direct proportion, draw and interpret graphs modelling real life situations Indices- use index laws and the zero index, negative powers Checking solutions to calculations Standard form- convert between ordinary numbers and standard form Angles in polygons- use interior/exterior angle rules in polygons Pythagoras Theorem |
| Key terms/vocab | Mixed, Improper, Denominator, Numerator, Parallel, Intersecting, Alternate, Corresponding, Interior, Vertically opposite, Mutually exclusive, Outcomes, Expand, Polygons, Nets | Mode, Mean, Distribution, Outlier, Expand, Factorise, Coefficient, Substitute | Perimeter, Area, Surface Area, Discrete, Continuous, Sample, Bias, Circumference, Radius, Diameter, Chord, Tangent, Arc, Segment, Sector, Bias, Population, Sample | Linear, Elevation, View, Ratio, Plan, Elevation, Translation, Vector, Rotation, Reflection, Scalar Enlargement, Scale factor, | Congruency, Terminating, Recurring, Simple interest, Compound interest, Reverse percentage, Tree diagrams, Gradient, y intercept | Indices, Subject, Significant figure, Standard form, Polygon, Exterior, Interior, Pythgoras |
| 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 | 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 Higher Curriculum Map |
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| Focus | Autumn 1 | Autumn 2 | Spring 1 | Spring 2 | Summer 1 | Summer 2 |
| Topic | Route A and B: Consolidating year 7, 8 and 9 topics and applying them to problem solving questions | Route A and B: Consolidating year 7, 8 and 9 topics and applying them to problem solving questions | Route A and B: Consolidating year 7, 8 and 9 topics and applying them to problem solving questions | Route A and B: Consolidating year 7, 8 and 9 topics and applying them to problem solving questions | Route A and B: Consolidating year 7, 8 and 9 topics and applying them to problem solving questions | Route A and B: Consolidating year 7, 8 and 9 topics and applying them to problem solving questions |
| Key concepts/ideas |
Route A:
Graphs
Inequalities
Changing the subject of a formula
Functions
Graphs
Route B: Probability Proportion Real life graphs Angles in polygons Indices Checking solutions to calculations Pythagoraas Revision |
Route A:
Reciprocals, factors and multiples
Accuracy
Trigonometry
Compound measures
Loci
Mean from grouped data
Simultaneous equations
Harder linear equations
Revision
Route B: Graphs Inequalities Changing the subject of a formula Functions Graphs |
Route A:
Sequences
Transformations
Prisms and Units
Fractions and decimals
Algebraic identities
Route B: Reciprocals, factors and multiples Accuracy Trigonometry Compound measures Loci Mean from grouped data Simultaneous equations Harder linear equations Revision |
Route A:
Graphs y = mx+ c
Simplify algebra
Revision
Route B: Sequences Transformations Prisms and Units Fractions and decimals Algebraic identities |
Route A:
Estimation and standard form
Similarity and enlargement
Probability tree diagrams
Route B: Graphs y = mx+ c Simplify algebra Revision |
Route A:
Cumulative frequency
Percentage multiplers
Revision
Route B: Estimation and standard form Similarity and enlargement Probability tree diagrams |
| Key skills |
Route A:
Scatter graphs/distance time graphs construct/analyse
Inequalities- solve, number lines, plot, shade and identify regions f inequalities
Change the subject of a formula where the subject only appears once, appears more than once, and including powers
Function notation, inverse functions, composite functions
Quadratic and cubic graphs- generate coordinates, plot graphs, solve graphically. Plot reciprocal graphs and exponential graphs. Sketch, interpret and identify graphs of linear, quadratic, cubic and reciprocal functions.
Kinematic graphs – Sketch real life graphs. Calculate or estimate gradients and areas under graphs inc. quadratic, gradient of graphs.
Route B: Probability- theoretical and experimental probabilities, tree diagrams Real life graphs- Inverse and direct proportion, draw and interpret graphs modelling real life situations Indices- use index laws and the zero index, negative powers Checking solutions to calculations Standard form- convert between ordinary numbers and standard form Angles in polygons- use interior/exterior angle rules in polygons Pythagoras Theorem |
Route A:
Reciprocals, factors and multiples- find the LCM, HCF, prime factor decomposition,
Accuracy- error/truncation
Bounds
Trigonometry in right angled triangles
Compound measures- use rates and compound measures e.g. speed/density/rates of pay and corresponding units
Loci- construct loci to show paths and shapes, complete standard constructions such as perpendicular bisector, bisect an angle etc
Mean- calculate the mean from a grouped frequency diagram
Inequalities- solve, represent on number lines
Simultaneous equations- Set up and solve graphically and by elimination (linear only).
Linear equations – Forming and solving equations including brackets and fractions.
Route B: Scatter graphs/distance time graphs construct/analyse Inequalities- solve, number lines, plot, shade and identify regions f inequalities Change the subject of a formula where the subject only appears once, appears more than once, and including powers Function notation, inverse functions, composite functions Quadratic and cubic graphs- generate coordinates, plot graphs, solve graphically. Plot reciprocal graphs and exponential graphs. Sketch, interpret and identify graphs of linear, quadratic, cubic and reciprocal functions. Kinematic graphs – Sketch real life graphs. Calculate or estimate gradients and areas under graphs inc. quadratic, gradient of graphs. |
Route A:
Sequences- Nth term of a linear sequence, Find the next term and nth term of a quadratic sequence and explore their properties.
Recap rotation, reflection and translation. Enlargement with positive scale factors. Combined transformations.
Prisms and Units- Surface area and volume of a range of solids. Convert between unit in area and volume.
Fractions- Use the 4 operations with mixed and improper fractions.
Convert recurring decimals to fractions
Algebra- Expand brackets of 2 linear expressions. Factorise quadratic expressions including the difference of 2 squares. Argue mathematically to show equivalence. Factorise harder quadratics with coefficient of x^2 > 1.
Expand the product of more than 2 binomials.
Factorise and solve quadratic expressions
Route B: Reciprocals, factors and multiples- find the LCM, HCF, prime factor decomposition, Accuracy- error/truncation Bounds Trigonometry in right angled triangles Compound measures- use rates and compound measures e.g. speed/density/rates of pay and corresponding units Loci- construct loci to show paths and shapes, complete standard constructions such as perpendicular bisector, bisect an angle etc Mean- calculate the mean from a grouped frequency diagram Inequalities- solve, represent on number lines Simultaneous equations- Set up and solve graphically and by elimination (linear only). Linear equations – Forming and solving equations including brackets and fractions. |
Route A:
Y=mx + c – Understand and use the form y = mx + c. Calculate gradients from lines, coordinates and understand parallel and perpendicular gradients.
Simplify algebra – Factorise expressions and simplify algebraic fractions by cancelling common factors. Add and subtract algebraic fractions.
Route B: Sequences- Nth term of a linear sequence, Find the next term and nth term of a quadratic sequence and explore their properties. Recap rotation, reflection and translation. Enlargement with positive scale factors. Combined transformations. Prisms and Units- Surface area and volume of a range of solids. Convert between unit in area and volume. Fractions- Use the 4 operations with mixed and improper fractions. Convert recurring decimals to fractions Algebra- Expand brackets of 2 linear expressions. Factorise quadratic expressions including the difference of 2 squares. Argue mathematically to show equivalence. Factorise harder quadratics with coefficient of x^2 > 1. Expand the product of more than 2 binomials. Factorise and solve quadratic expressions |
Route A:
Standard form – Express numbers and calculate with numbers in ordinary and standard form.
Estimation – estimate answers to calculations. Check solutions by checking order of magnitude and estimating by rounding to 1 sig fig.
Enlargement- recall positive/fractional scale factors and enlarge with a negative scale factor
Similarity – Understand the term ‘similar’ and apply it to triangles and other plane shapes. Use scale factors (inc. non integer), use with area and volume
Probability tree diagrams – Draw tree diagrams. Calculate independent probabilities. Use set notation with Venn diagrams. Conditional probability. Mutually exclusive/independent event rules.
Route B: Y=mx + c – Understand and use the form y = mx + c. Calculate gradients from lines, coordinates and understand parallel and perpendicular gradients. Simplify algebra – Factorise expressions and simplify algebraic fractions by cancelling common factors. Add and subtract algebraic fractions. |
Route A:
Cumulative frequency – Construct, interpret and compare cumulative frequency diagrams and box plots. Use measures of spread and outliers.
Percentages – Using multipliers to increase/decrease. Reverse percentages. Repeated percentage change.
Exponential growth
Route B: Standard form – Express numbers and calculate with numbers in ordinary and standard form. Estimation – estimate answers to calculations. Check solutions by checking order of magnitude and estimating by rounding to 1 sig fig. Enlargement- recall positive/fractional scale factors and enlarge with a negative scale factor Similarity – Understand the term ‘similar’ and apply it to triangles and other plane shapes. Use scale factors (inc. non integer), use with area and volume Probability tree diagrams – Draw tree diagrams. Calculate independent probabilities. Use set notation with Venn diagrams. Conditional probability. Mutually exclusive/independent event rules. |
| Key terms/vocab |
Route A:
Correlation, Inequality, Function, Inverse, Composite, Quadratic, Cubic, Reciprocal, Exponential, Linear, Kinematic, Gradient, Rate of change.
Route B: Indices, Subject, Significant figure, Standard form, Polygon, Exterior, Interior, Pythgoras |
Route A:
Reciprocal, LCM, HCF, Prime factor decomposition, Error, Truncation, Sine, Cosine, Tangent, Hypotenuse, Compound, Density, Speed, Loci, Perpendicular, Bisector, Mean, Grouped frequency, Simultaneous, Elimination, Linear equation.
Route B: Correlation, Inequality, Function, Inverse, Composite, Quadratic, Cubic, Reciprocal, Exponential, Linear, Kinematic, Gradient, Rate of change, |
Route A:
Nth term, Prims, Surface Area, Volume, Recurring, Terminating, Expand, Factorise, Quadratics, Coefficient, Binomial, Solve.
Route B: Reciprocal, LCM, HCF, Prime factor decomposition, Error, Truncation, Sine, Cosine, Tangent, Hypotenuse, Compound, Density, Speed, Loci, Perpendicular, Bisector, Mean, Grouped frequency, Simultaneous, Elimination, Linear equation |
Route A:
Gradient, Parallel, Perpendicular, Equation, Factorise, Factor.
Route B: Reciprocal, LCM, HCF, Prime factor decomposition, Error, Truncation, Sine, Cosine, Tangent, Hypotenuse, Compound, Density, Speed, Loci, Perpendicular, Bisector, Mean, Grouped frequency, Simultaneous, Elimination, Linear equation |
Route A:
Standard form, Significant figure, Enlargement, Scale factor, Fractional, Similar, Tree diagram, Conditional probability, Venn, Independent, Mutually Exclusive.
Route B: Gradient, Parallel, Perpendicular, Equation, Factorise, Factor |
Route A:
Cuulative, Box plot, Outlier, Median, Quartiles, Interquartile range, Multipler, Compound interest, Reverse percentages, Exponential.
Route B: Standard form, Significant figure, Enlargement, Scale factor, Fractional, Similar, Tree diagram, Conditional probability, Venn, Independent, Mutually Exclusive |
| 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 Higher Curriculum Map |
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|---|---|---|---|---|---|---|
| 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 | Revision and consolidation. Extra time to spend on topics if needed. | Revision and consolidation | |
| Key concepts/ideas | Circle Theorems Surds 3D Pythagoras and Trigonometry Sine and cosine rule | Proportion Sampling Histograms Indices Volume and Surface Area | Iteration Solving quadratic equations Circles Simultaneous equations Solve quadratic inequalities Upper and lower bounds | Vectors Transforming graphs | Revision Consolidate key topics Exam! | EXAM! |
| Key skills | Circle Theorems – Use known circle theorems and previous angle facts to calculate unknown angles and lengths within circles. Surds – Use surds in exact calculations, simplify expressions and rationalise the denominator. 3D Pythagoras and Trigonometry – Use previous knowledge of 2D Pythagoras and Trigonome-try and apply this to 3D problems. Sine and cosine rule – Calculate the area of non-right-angled triangles. Use the sine and cosine rule in 2D and 3D. | Direct and Inverse Proportion – Use DP and IP to compare values and find unknown quantities. Sampling – Compare different sampling methods and understand pros and cons of each. Histograms – Draw and interpret histograms for grouped data. Understand frequency density. Indices – Use fractional and negative indices. Volume and Surface Area – Recall formulae for area and circumference of circles. Calculate arc length and sector area and volume and surface area of pyramids, cones and spheres. | Iteration – Use iterative formulae to find approximate numerical solutions. Solving quadratic equations – Solve by completing the square and the quadratic formula. Circles – Deduce the equation of a circle. Simultaneous Equations – Solve simultaneous equations graphically, and by elimination and substitution. Solve quadratic inequalities using factorisation. Upper and lower bounds | Vectors – Use column vectors and understand vector geometry. Transforming graphs – Recognise, draw, and identify properties of trig graphs. Know the effects of f(ax), af(x), f(x + a), f(x) + a and be able to apply them to linear and quadratic graphs. | ||
| Key terms/vocab | Bound, Accuracy, Rounding, Frequency, Arc, Sector, Frustum, Surd, Rationalise, Expression | Mutually exclusive, Congruency, Vectors, Scalar, Transformation, Conditional, Resultant | Tangent Perpendicular Gradient Equivalent Binomial Factorise Inequality | |||
| 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 |