Bishop Ullathorne Catholic School

Curriculum Intent

The Mathematics department encourages students to build fluency, the ability to reason mathematically and solve complex multi-stage problems. Mathematics is a discipline which has intrigued the most brilliant minds for centuries. Mathematical concepts are essential to every walk of life, central to many other areas of the curriculum and pivotal to further education and the world of work. We aim to:

develop students’ understanding in each of the key foci of Number (numeracy), Algebra, Geometry and Statistics
develop a desire to become independent and competent problem solvers and the ability to communicate mathematically
appreciate the link between Mathematics and other subjects
enable students to become mathematically aware in preparation for life beyond school.

Curriculum Mapping

Topics Studied in Year 7

Topic	Brief Description
Being a Mathematician	A series of lessons introducing pupils to various areas of Mathematics that they will meet in KS3, whilst learning about some key mathematical skills
Place value	Adding, subtracting, multiplying and dividing whole numbers and decimals. Rounding & estimation
Angles	Constructions with a ruler and protractor, bearings, angle facts and angles in polygons
Factors and Multiples	Factors, multiples, index notation and prime factorisation
Directed Number & Expressions	Using letters to represent unknown amounts, simplification, using brackets and solving equations. Four operations involving negative numbers
Ratio & Measure	Understanding ratio notation, simplifying ratios and sharing in ratios. Metric conversions, interpreting scales & scale drawing
Classifying Shapes, Area & Perimeter	Area and Perimeter of rectangles, triangles, parallelograms, trapeziums and circles. Classifying shapes including by symmetry and parallel lines
Fractions	Equivalent, fractions, using mixed numbers, four operations involving fractions,
Sequences	Generating sequences, linear and quadratic sequences, geometric progressions

Topics Studied in Year 8

Topic	Brief Description
Sequences	Generating sequences, linear and quadratic sequences, geometric progressions
Discrete data project	Interpreting data, calculating mean, median, mode and range, frequency tables and frequency graphs
Proportion	Understand notation, Solving problems with proportional quantities using the unitary method, the double number line and ratio tables, scale drawing
3D Shapes	Properties of 3D Shapes, understand nets, plans and elevations. Volume and surface area of cuboids and, volume of prisms
More Complex Equations & Expressions	Factorising, expanding double brackets, creating setting up and solving equations
Percentages	Using multipliers to find Ppercentages of quantities, percentage increase and decrease, reverse percentages
Construction, Loci & Pythagoras	Know and apply Pythagoras’ theorem, constructing with a pair of compasses, loci problems
Graphs	Coordinates, Real life graphs, plotting linear graphs, solving simultaneous equations using graphs

Topics Studied in Year 9

Topic	Brief Description
Probability	Probability of single and, combined events, estimating probability, using sample spaces and venn diagrams
Equations, Expressions & Inequalities	Solving equations with unknowns on both sides. Solving inequalities, solving simultaneous equations using substitution and elimination.
Trigonometry, Pythagoras & Angle Reasoning	Pythagoras, and trigonometry for right-angled triangles. Solving complex problems using angle facts
Bounds, Standard Form & Compound Units	Converting between standard form and ordinary numbers. Calculating compound measures such as speed, rates of pay, density. Error Intervals.
Formulae & Graphs	Word Formulae, substitution, rearranging formulae. Identify the gradient and intercept of a linear graph. Plotting quadratic and cubic graphs.
Percentages	Revision of percentage change using multipliers, finding percentage increase and decrease, reverse percentages. Repeated percentage increase & decrease
Transformations	Rotation, reflection, translation, enlargement, describing transformations.
Continuous data project	Grouped frequency tables and diagrams, scatter diagrams and lines of best fit.

Topics Studied in Year 10 & 11 Foundation

Topic	Brief Description
Year 10
Expressions, Formulae & Sequences	Expanding brackets and factorising, sequences, formulae
Place Value, Rounding, Standard Form & Indices	Rounding, multiplying and dividing decimals, index notation, prime factorisation. Writing numbers in standard form and calculating with standard form, calculating roots, working with indices
Angles	Bearings, scale drawing, angles in polygons and parallel lines
Fractions, Decimals & Percentages	Four operations with fractions, converting between fractions, decimals and percentages, reverse percentages, repeated percentages
Probability	Probability of single and combined events, estimating probability, using sample spaces, venn diagrams and tree diagrams
Equations & Inequalities	Setting up and solving equations with x on both sides, solving linear inequalities
Ratio & Proportion	Dividing into ratios, solving problems involving direct and inverse proportion
Transformations & Vectors	Rotation, reflection, translation, enlargement, describing transformations, vectors
Area & Volume	Circumference and area of circles, nets, plans and elevations, volume and surface area of prisms
Year 11
Grouped Data Project	Scatter diagrams, pie charts, calculating the mean from grouped frequency tables
Graphs	Gradient and intercept of linear graphs, finding the equation of straight lines, plotting cubic, quadratic and reciprocal graphs
Pythagoras & Trigonometry, Loci & Construction	Pythagoras, and trigonometry for right-angled triangles, exact trigonometric values for special angles, proof of congruent and similar triangles. Loci & construction
Simultaneous Equations	Solving pairs of equations by elimination and substitution
Complex Area & Volume	Surface area and volume of spheres, cones, pyramids and composite solids, calculating arc lengths and areas of sectors
Quadratics	Factorising quadratics, solving equations by factorisation, identifying and deducing roots and turning points

Topics Studied in Year 10 & 11 Higher

Topic	Brief Description
Year 10
Expressions, Equations & Sequences	Linear simultaneous equations, quadratic sequences, expanding double brackets and factorising, rearranging complex formulae.
Trigonometry	Revision of right angled trigonometry, cosine and sine rule, congruent triangles, similarity.
Indices, Surds & Standard Form	Converting between recurring decimals and fractions. Surds, negative fractional indices, calculating with standard form.
Probability	Probability of single and combined events, estimating probability, conditional probability. Using sample spaces, two-way tables, venn diagrams and tree diagrams.
Graphs	Equations of straight lines, parallel and perpendicular lines. Plotting and interpreting quadratics, cubics, reciprocal graphs, exponential graphs and circular functions.
Percentages & Proportion	Reverse percentages, repeated percentages, growth and decay. Direct and inverse proportion.
Complex Areas & Volumes, Accuracy	Area and volume of spheres, pyramids & cones. Arcs and sectors, upper and lower bounds.
Transformations	Combinations of rotation, reflection, translation and enlargement (including negative enlargement).
Year 11
Quadratics	Solving quadratics by factorising, completing the square and using the formula. Solving simultaneous equations involving quadratics. Solving quadratic inequalities.
Data Project	Scatter diagrams, cumulative frequency graphs, histograms.
Circle Theorems & Trigonometry	Identify, apply and prove circle theorems. Pythagoras and trigonometry for right-angled triangles, exact trigonometric values for special angles. Apply and use sine rule and cosine rule. Recognise, sketch and interpret graphs of trigonometric functions.
Vectors	Add and subtract vectors, multiplying by scalars, vector proofs.
Functions	Inverse and composite functions. Calculating, estimating and interpreting gradients of graphs and area under curves. Transformations of functions.
Algebraic Fractions & Proof	Iteration. Simplifying, manipulating and solving questions involving algebraic fractions. Using algebra to construct proofs.