Mathematics
What we will do:
The Twickenham School Mathematics Department will follow the whole school policy for curriculum provision. In addition to this, the Mathematics department will also:
- Build on prior learning in key stages 1 and 2 in order to develop and sustain the foundational components without which future Mathematical Knowledge cannot be acquired.
- Plan and deliver exciting and engaging lessons that nevertheless set high standards of challenge for all pupils throughout.
- Follow a rigorous and carefully planned curriculum that allows students to learn Mathematical skills whilst also enhancing their broader perspective on the world and development of cultural capital through real life examples.
- Provide students with opportunities for reflection within lessons to constantly develop their personal understanding of Mathematics.
- Encourage all students to consider further study of Mathematics and entry into Mathematical options post-16 e.g. A Levels.
- Develop students’ interest in Mathematics in the wider world through activities such as school visits, Maths clubs, competitions and special events such as Pi Day.
Allocation of Teaching and Sets
All Year Groups are taught by specialist teams with specific teachers allocated to specific classes. All years are set in ability based sets, however, arrangements for setting are flexible and regularly reviewed. Monitoring points will ensure that there are termly opportunities for students to move between sets. Occasionally, classes split between two teachers may occur but in such instances a robust and consistent scheme of work will ensure that no inequities or inconsistencies develop.
Marking and Feedback
Every student will receive one assessed task per half term which the teacher will provide detailed feedback on. Students will then be given time to reflect upon and improve their work with respect to said feedback.
Mathematics Half Termly Curriculum Plan
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Key Stage |
Year |
Autumn 1 |
Autumn 2 |
Spring 1 |
Spring 2 |
Summer 1 |
Summer 2 |
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KS3
|
7 |
Numbers Able to work with negative numbers, factors, multiples and prime numbers. Rounding numbers for approximate solutions. |
Fractions, decimals and percentages Able to work with other forms of numbers, converting between them and using them in problems involving 2D and 3D shapes. |
Expressions and formulae Able to simplify algebraic expressions, substitute values, write formulae and solve problems involving 2D shapes. |
Sequences, Coordinates and Straight-line graphs Able to generate, continue and describe sequences, work with coordinate grids, read and plot coordinates.
|
Transformations and Probability Able to recognise, describe and carry out transformations on shapes, able to estimate and calculate the probability of an event happening. |
Data, Ratio & proportion Able to read and construct charts, tables and graphs and analyse data, able to use ratio and proportion to solve problems. |
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8 |
Numbers Able to calculate negative numbers whilst working with powers and roots. Ability to work with factors and multiples, fractions, decimals and percentages.
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Area and Volume Decimals, percentages and fractions Able to calculate area of 2D shapes, surface area and volume of 3D shapes. Students will be able to Write numbers as percentages of another and increasing/decreasing a number by a percentage. |
Expression and Equations Students will be able to write, simplify and substitute into expressions, expand and simplify brackets and solve algebraic equations. |
Real life graphs, Decimals and Ratios Able to draw and interpret real-life graphs and graphs of functions, solving ratio and ratio proportion problems, working with decimals. |
Shapes, angles, straight line graphs and direct proportion Able to recognise different quadrilaterals and name other polygons, solve problems involving shapes, identify and calculate angles and use them to solve problems, plotting graphs and working out the gradient and midpoint of a line. |
Data Ability to recognise and use the data handling cycle, design and represent data using a variety of methods, interpret and compare data, calculate the mean, median, mode and range from tables and stem and leaf diagrams.
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9 |
Foundation Numbers Able to work with negative numbers and decimals, working with multiples, factors and primes.
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Foundation Algebra Students will be able to form and simplify expressions whilst also substituting into algebraic formulae. Factorise and solve quadratics.
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Foundation Statistics and Algebra Able to represent data using charts and graphs, Solving linear equations involving two-step and brackets, representing and solving linear inequalities. Change the subject of a formula and solve simultaneous equations. |
Foundation Number and Interest Able to use operations on fractions, mixed numbers, decimals and percentages. Ability to calculate and solve problems using simple interest. Able to calculate percentage change and use in real-life problems. |
Foundation Geometry & measures Able to solve angle problems, find perimeter and area of 2D shapes, find volume and surface area of 3D shapes. Able to prove congruency.
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Foundation Statistics, Ratio and proportion & rates of change Ability to work with averages and range from tables & stem and leaf diagrams. Calculate mean, median, mode and range from different data methods.
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Higher Numbers Estimating answers to a calculation, working with negative and fractional indices and standard forms. Able to find multiples, factors and primes. Operating and simplifying |
Higher Algebra Students will be able to expand and simplify two or more brackets, factorising, solving quadratic equations graphically and with a formula. Expanding and factorising expressions. |
Higher Statistics, Number and Ratio Able to represent and analyse data using charts and graphs, solve ratio and proportion problems, able to operate and solve problems on fractions and mixed numbers. |
Higher Rates of change, Geometry & measures Able to use Pythagoras Theorem to find a side and trigonometry to find a side or angle, exchanging money and solving problems around money. Able to identify and calculate angles in polygons. |
Higher Algebra, Ratio & proportion Students will be able to use y = mx + c, recognise and draw linear and non-linear graphs, work out gradient, midpoint & equation of a line on a graph.
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Higher Geometry & rates of change Able to calculate area and perimeter of 2D shapes and volume of 3D shapes, to recognise and draw transformations, loci, plans and elevations, work with velocity-time graphs and rates of change.
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KS4
KS4 |
10 |
Foundation Geometry & measures
Able to plot a straight-line graph and find midpoint of a line segment, to draw and describe transformations, calculate the equation of a line on a graph.
|
Foundation Ratio, proportion & rates of change
Ability to share in a ratio and compare ratios, solve proportion problems using the unitary method and solve problems involving direct and inverse proportion. |
Foundation Geometry & Probability
Able to use Pythagoras Theorem to find a side and trigonometry to find a side or angle. Able to draw and interpret Tree and Venn diagrams. Able to list outcomes and use probability in real-life situations. |
Foundation Ratio, proportion & rates of change
Calculate compound interest and depreciation, using vectors, able to work with percentages and reverse percentage problems, calculating profit and loss and learn the method of exchanging money. |
Foundation Geometry, number and algebra
Be able to find volume and surface area of 3D shapes, able to work out circumference and area of circles and sectors, be able to draw lines, angles, shapes, plans and elevations.
|
Foundation Number and algebra
Expand triple brackets, factorise and solve quadratic equations, solve quadratics graphically, be able to work with bounds. |
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Higher Algebra & Number Able to solve and factorise quadratic equations, solve linear and quadratic simultaneous equations. Ability to complete the square.
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Higher Probability & Number Students will be able to solve problems with ratios and proportion, find probability from Venn and tree diagrams. Calculate compound measures (speed, density, pressure and acceleration).
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Higher Ratio, proportion & rates of change and Probability Be able to represent and compare sets of data using charts and graphs, Be able to use upper and lower bounds. Ability to understand stratified sampling.
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Higher Geometry & measures and Statistics Be able to recognize, draw and transform trigonometric graphs Be able to use the sine and cosine rule to find a missing side or angle Be able to solve problems using trigonometry. |
Higher Number and Algebra Able to solve equations and rearrange formulae with fractions, calculate and solve quadratic and cubic equations graphically, solve simultaneous equations & inequalities. Be able to manipulate algebraic fractions and prove statements algebraically. |
Higher Geometry & Measures Be able to manipulate surds, be able to prove circle theorems and use them to solve problems, be able to work with composite and inverse functions.
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11 |
Foundation Able to use standard form to convert large and small numbers. Recognise similar and congruent shapes, and solve associated problems. Solve problems using vectors. |
Foundation Able to recognise and draw cubic and reciprocal graphs. Solve simultaneous equations graphically and algebraically. Use the methods of algebraic proof to prove statements. |
Foundation Final preparation for the GCSEs. Focus on key topics for the class or for groups of students. |
Foundation Final preparation for the GCSEs. Focus on key topics for the class or for groups of students. |
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Higher Use and solve problems using vectors, prove lines are parallel and points are collinear. Solve geometric problems. Reflecting and sketching graphs of functions. |
Higher Write and use equations to solve problems involving direct and inverse proportion. Recognise and sketch graphs of exponential functions. Understand the relationship between translating a graph and the change in its function notation. |
Higher Final preparation for the GCSEs. Focus on key topics for the class or for groups of students. |
Higher Final preparation for the GCSEs. Focus on key topics for the class or for groups of students. |
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