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Mathematics Dept - Curriculum on a Page

Showing the curriculum by subject

Further Mathematics

Curriculum Details - 2023/2024 (Current)

YearTerm 1Term 2Term 3Term 4Term 5Term 6
12Decision Maths 1
Unit 1 - Algorithms is Summer Work set after Y12 induction day following Y11 exams
Unit 6 - Linear programming
Unit 2 - Graphs & networks
Unit 3 - Algorithms on graphs
Assessments - Unit assessments through term		Decision Maths 1
Unit 4 - Route inspection
Unit 5 - The travelling salesman problem
Unit 8 - Critical path analysis
Unit 7 - The simplex method
Assessments - Unit assessments through the term		Decision Maths 1
Unit 7 - The simplex method concluded
Revision
January Y12 Exams in lessons
Core Pure 1
Unit 3 - Series
Unit 1 - Complex numbers
Unit 2 - Argand diagrams
Assessments - Unit assessments through the term		Core Pure 1
Unit 2 - Argand diagrams concluded
Unit 4 - Roots of polynomials
Unit 5 - Volumes of revolution
Unit 6 - Matrices
Unit 7 - Linear transformations
Assessments - Unit assessments through the term		Core Pure 1
Unit 7 - Linear transformations concluded
Unit 8 - Proof by induction
Unit 9 - Vectors
Assessments - Unit assessments through the term		Revision
Y12 June exams
Unit 7 - Vectors concluded
Further Statistics 1
Unit 1 - Discrete random variables
Unit 2 - Poisson Distribution
Unit 4 - Hypothesis Testing Y12 content only
Unit 6 - Chi-squared distribution Y12 content only
Assessments - Unit assessments through the term
13Further Statistics 1

Unit 3 - Geometric & negative binomial distributions
Unit 4 - Geometric dist. hypothesis testing (Y13 content)
Unit 6 - Geometric dist. chi-squared tests (Y13 content)
Unit 7 - Probability generating functions
Unit 5 - Central limit theorem
Assessments - Unit assessments		Core Pure 2

Unit 1 - Complex number
Unit 2 - Series
Unit 5 - Polar Coordinates
Assessments - Unit assessments through the term		January exams

Core Pure 2
Unit 3 - Methods on calculus
Unit 4 - Volumes of revolution
Unit 6 - Hyperbolic functions
Assessments - Unit assessments through the term		Y13 Mock Exams

Core Pure 2
Unit 6 - Differential equations
Unit 7 - Modelling with differential equations
Revision

Assessments - Unit assessments through the term		Revision, study leave and exams.Study leave and exams; Core Pure Paper 1 and Core Pure Paper 2 each of 1 hour and 30 minutes duration. Two option papers both of 1 hour and 30 minutes duration; Paper 3 is Option 1 FS 1. Paper 4 is Option 2; DM 1.

Mathematics

Curriculum Details - 2023/2024 (Current)

YearTerm 1Term 2Term 3Term 4Term 5Term 6
7BASELINE ASSESSMENT

Unit 1: Analysing & Displaying Data - Bar charts, two way tables, pie charts, averages & range. Links to STEM
Unit 2: Number Skills - Factors, primes and multiples, directed numbers, basic calculations, squares, powers & roots
Unit 3: Equations, Functions & Formulae – Writing & simplifying algebraic expressions, brackets, powers & factorising. STEM link -writing and using formulae
Unit 4: Fractions – Operations with fractions and mixed numbers, fraction/decimal/percentage conversions.

TERM ASSESSMENT		Unit 5: Angles & Shape – Angles rules in parallel lines, triangles and polygons.
Unit 6: Decimals – Ordering, rounding, operations with and conversions between fractions, decimals and percentages. FINANCE Link – working with percentages.

TERM ASSESSMENT
Unit 7: Equations – Solving one & two step equations, work with more complex equations.

TERM ASSESSMENT

Unit 8: Multiplicative Reasoning – Ratios, proportion, unitary method. STEM link – metric & imperial units.
Unit 9: Perimeter, area & volume - Triangles, parallelograms, trapeziums, Composite shapes, 3D solids, surface area, volume. STEM link – measures
TERM ASSESSMENT
Unit 10: Sequences & Graphs – Sequences, nth term, pattern sequences, coordinates & line segments, graphs.
ASSESSMENT – end of year test
8Unit 1: Analysing & Displaying Data - Bar charts, two way tables, pie charts, averages & range. Links to STEM

TERM ASSESSMENT		Unit 3: Algebra – Expanding & factorising, solving 2-step equations
Unit 5: Angles & shape – Polygon angles
Unit 8: Proportional reasoning
Unit 9: Shape – Surface area & volume. STEM link Measures

TERM ASSESSMENT
Unit 1: Factors & Powers – Prime factor decomposition, index rules, estimation. STEM Link powers of 10.
Unit 3: shape – plans & elevations, surface area, volume, circle area & circumference, cylinders, Pythagoras’ theorem.

TERM ASSESSMENT
Unit 4: Real Life Graphs – Direct proportion, distance-time, rates of change, misleading graphs. FINANCE link – finance graphs.
Unit 5: Transformations – Reflection, translation, rotation, enlargement, Combining transformations, similar shapes area & volume.

TERM ASSESSMENT

Unit 6: Fractions, Decimals & Percentages – Recurring decimals, percentage change inc repeated.
Unit 7: Constructions & loci
‘Unit 8: Probability – Comparing probabilities, mutual exclusivity, estimating & experimental probability, diagrams, probability trees.

TERM ASSESSMENT		Unit 9: Scale drawings – Maps & scales, bearings, scales & ratio, congruent & similar shapes, solving geometry problems.
Unit 10: Graphs – Plotting linear graphs, gradient, y=mx+c, parallel & perpendicular lines, inverse functions. STEM link – non-linear graphs.
END OF YEAR ASESSMENT
9Y7 Unit 1: Two way tables.
Y8 Unit 1: Factors & Powers – Index rules. STEM Link – standard form
Y8 Unit 3: Plans & Elevations
Y8 Unit 5: Transformations – Reflection, rotation, enlargement, Area & volume similar shapes. STEM link Combining transformations

TERM ASESSMENT
Y8: Fractions, Decimals & Percentages – Recurring decimals, percentage change. FINANCE link – repeated percentage change.

Y9 BASELINE ASSESSMENT

Y8 Unit 7 – Loci
Y8 Unit 8: Probability – Comparing, mutually exclusive, estimating, experimental, diagrams inc probability trees.

Y8 Unit 10: Graphs – Parallel & perpendicular, Inverse. STEM link – non-linear graphs
Y9 Unit 1: Number – Review Y7 number work, standard form, surds.


TERM ASESSMENT
Unit 2: Algebra – Basics review, quadratics, sequences.
Unit 4: Fractions, ratios & Percentages – review with special focus on percentages, ratio & proportion.


TERM ASESSMENT
Unit 5: Angles & Trigonometry – Review angle rules, Pythagoras’ Theorem & trigonometry. STEM link to real life applications.


TERM ASESSMENT
Unit 6: Graphs – Review the basics, real life graphs, linear graphs & coordinate geometry, quadratic, cubic & other graphs.
Unit 8: Transformations & Constructions – review transformations constructions, loci & bearings.

END OF YEAR ASSESSMENT
10Inequalities – Graphical & algebraic.
Percentages – Growth & Decay
Functions – Notation, evaluating, composite, inverse and problem solving.

TERM ASESSMENT
Surds – Review basics, calculate with & rationalise inc conjugates
Simultaneous Equations – Solve two linear equations & one linear/one non-linear both algebraically and graphically.
Statistical diagrams – Box plots cumulative frequency, histograms. Comparing data.

TERM ASSESSMENT
Volume – SA & volume cuboids & prisms. STEM link – units including composite measures density & pressure.
Sequences – generate terms, nth term for linear and quadratic, Fibonacci, geometric & other sequences.

TERM ASSESSMENT
Iteration – notation, rearranging, identify roots, degree of accuracy.
Product Rule for Counting
Sampling – random, stratified, capture/recapture.
Inequalities – Review linear, solve quadratic, set notation

TERM ASSESSMENT
Ratio – notation, equivalent, share in, multiplicative nature, equality
Compound measures – Pressure, speed, density
Circle Theorems – circle basics, theorems – identify, use to problem solve and prove.

TERM ASSESSMENT
Trigonometry – Sine & cosine rule, area of a triangle.
Volume & SA – cones, spheres, pyramids & frustrums. STEM link – convert between units of measure.
Algebra – Review simplifying, solving, expanding, factorising, algebraic fractions.

END OF YEAR ASSESSMENT
11SA Volume – Spheres.
Trigonometry – Cosine rule, area triangle.
Algebra – Review basics, factorising, algebraic fractions, change the subject.

TERM ASSESSMENT – CALCULATOR PAPER
Bounds – error intervals, degree of accuracy, calculating with bounds.

ASSESSMENT – Moc examination – GCSE calculator paper

Revision topics identified from the mocks
Vectors – notation, column, scalar multiples, combining, length, resultant, geometric proof.

Bounds of accuracy; truncation, error intervals, calculations of bounds. Vectors.Revision topic
Proportion – review direct & inverse
Proof – Algebraic
Graphs – transformations, area under, gradient of, trig functions.

ASSESSMENT – regular GCSE papers.
Revision - topic targeted and approach to different questions.Exams

Over the summer, 7 tasks are set on TEAMS for those who have chosen to do A Level maths, depending on achieving the entry grade.
12Pure Maths
Algebra basics, Linear and quadratic equations including solving equations and inequalities, Trigonometric ratios.
Assessments - Unit assessments through the term		Pure Maths
Graphs and transformations, Algebraic methods, Trigonometric identities and equations, straight line graphs and circles.
Assessments - Unit assessments through the term		Pure Maths
Review of Term 1 & 2 topics, differentiation, the binomial expansion and logs and exponentials.
Assessments - Unit assessments through the term		Pure Mats
Logs and exponentials continued and integration.
Applied Maths
Mechanics - Introduction to mechanics and uniform acceleration. Statistics - Data collection, correlation and regression.
Assessments - Unit assessments through the term		Applied Maths
Mechanics - Forces and motion and variable acceleration
Statistics - Measures of location and spread, the binomial distribution and hypothesis testing.
Assessments - Unit assessments through the term		Review of Terms 1 to 5 topics.
Revision.
Y12 June end of year exams.

Pure Maths
Y13 topics started algebraic methods, functions and graphs.
Assessments - Unit assessments through the term
13Pure Maths
Sequences and series, Binomial expansions part 2, radians and trigonometric functions.
Assessments - Unit assessments through the term		Pure Maths
Trigonometry, introducing secant, cosecant and cotangent with modelling, differentiation, parametric equations, numerical methods, 3D vectors.
Assessments - Unit assessments through the term		Pure and Applied Maths
Integration part 1.
Review of Y12 & Y13 topics so far as preparation for Y13 January mock exams.
Applied Maths
Statistics - correlation, regression, hypothesis testing, conditional probability and the normal distribution part 1.
Assessments - Unit assessments through the term		Pure Maths
Integration part 2.
Applied Maths
Statistics - the normal distribution part 2.
Mechanics - moments, forces and friction and projectiles.
Assessments - Unit assessments through the term		Applied Maths
Further kinematics and application of forces.
Pure and Applied Maths
Revision and exam practice for final exams.		External exams - Paper 1 Pure (2 hours), Paper 2 Pure Maths (2 hours) and Paper 3 Mechanics and Statistics (2 hours).