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Mathematics Dept - Curriculum on a Page

Showing the curriculum by subject

Further Mathematics

Curriculum Details - 2024/2025 (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 - 2024/2025 (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: Factors & Powers – Prime factor decomposition, index rules, estimation. STEM Link powers of 10.
Unit 2 - working with powers - simplifying, substituting & solving

TERM ASSESSMENT		Unit 3: shape – plans & elevations, surface area, volume, circle area & circumference, cylinders, Pythagoras’ theorem.
Unit 4: Real Life Graphs – Direct proportion, distance-time, rates of change, misleading graphs. FINANCE link – finance graphs.

TERM ASSESSMENT
Unit 5: Transformations – Reflection, translation, rotation, enlargement, Combining transformations, similar shapes area & volume.
Unit 6: Fractions, Decimals & Percentages – Recurring decimals, percentage change inc repeated.

TERM ASSESSMENT		Unit 7: Constructions & loci

TERM ASSESSMENT
Unit 8: Probability – Comparing probabilities, mutual exclusivity, estimating & experimental probability, diagrams, probability trees.
Unit 9: Scale drawings – Maps & scales, bearings, scales & ratio, congruent & similar shapes, solving geometry problems.

TERM ASSESSMENT		Unit 10: Graphs – Plotting linear graphs, gradient, y=mx+c, parallel & perpendicular lines, inverse functions. STEM link – non-linear graphs.
END OF YEAR ASESSMENT
9Y8 Unit 6: Fractions, Decimals & Percentages – Recurring decimals, percentage change inc repeated.
Y8 Unit 7: Constructions & loci
Y8 Unit 8: Probability – Comparing probabilities, mutual exclusivity, estimating & experimental probability, diagrams, probability trees.

TERM ASSESSMENT

Y8 Unit 9: Scale drawings – Maps & scales, bearings, scales & ratio, congruent & similar shapes, solving geometry problems.
Y8 Unit 10: Graphs – Plotting linear graphs, gradient, y=mx+c, parallel & perpendicular lines, inverse functions. STEM link – non-linear graphs.

Y9 BASELINE ASSESSMENT
Unit 1: Number – Review Y7 number work, standard form, surds.
Unit 2: Algebra – Basics review, quadratics, sequences.

TERM ASESSMENT
Unit 3: Interpreting & Representing Data - Averages and range, representing and interpreting data, scatter graphs
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.
Unit 6: Graphs – Review the basics, linear graphs & coordinate geometry, quadratic, cubic & other graphs.

TERM ASESSMENT
Unit 7: Area & Volume - Perimeter, area and circles, 3D forms and volume, cylinders, cones and spheres, Accuracy and bounds
Unit 8: Transformations & Constructions – review transformations constructions, loci & bearings.

END OF YEAR ASSESSMENT
10Unit 9: Equations & inequalities - Solving quadratic and simultaneous equations, Inequalities
Unit 10: Probability - Combined events, Mutually exclusive events, Experimental probabilities, Independent events and tree diagrams, Conditional probability, Venn diagrams and set notation

TERM ASESSMENT
Unit11: Mulitiplicative reasoning - Growth and decay, Compound measures, Ratio and proportion

TERM ASSESSMENT		Unit 13: Further trigonometry - Trigonometric graphs, Calculating areas, sine rule, cosine rule, 2D&3D trig problems
Unit 12: Similarity & Congruence in 2D&3D - Congruence, Geometric proof and congruence, Similarity, Similarity in 3D solids

TERM ASSESSMENT
Unit 14: Further statistics - Collecting data, Cumulative frequency, box plots and histograms

TERM ASSESSMENT
Unit 15: Equations & Graphs - Quadratics, expanding more than two brackets, sketching graphs, graphs of circles, cubes and quadratics
Unit 16: Circle Theorems & Circle geometry

TERM ASSESSMENT
Unit 17: Algebra - Changing the formulae subject (more complex), solving equations, algebraic fractions, rationalising surds, proof

SUMMER EXAMS
11Circle theorems - use for geometric proof and problem solving.
Trigonometry – Sine & cosine rule, area of a triangle.
Volume & SA – cones, spheres, pyramids & frustums. STEM link – convert between units of measure.

TERM ASSESSMENT – CALCULATOR PAPER
Algebra – Review basics, factorising, algebraic fractions, change the subject.
Bounds of accuracy; truncation, error intervals, calculations of bounds.

ASSESSMENT – Mock examination – GCSE calculator paper




Revision topic identified from mock examinations.
Vectors – notation, column, scalar multiples, combining, length, resultant, geometric proof.

ASSESSMENT - January mock examination to complete series of 3 papers.		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 and radians.
Assessments - Unit assessments through the term
13Pure Maths
Functions and graphs, Sequences and series, Binomial expansions part 2 and trigonometric functions.
Assessments - Unit assessments through the term		Pure Maths
Trigonometry continued, 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).