Mathematics

Through innovative and enthusiastic teaching and learning of mathematics we aim to pass on our enthusiasm to students of all abilities and interests and we strive to ensure that all students are suitably challenged and engaged in maths, and students who require additional support are effectively supported.

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Topics covered in Maths are detailed below

Year 7

Unit 1 – Calculation	Apply the four operations (including formal written methods) to integers and decimals. Apply the four operations (including formal written methods) to simple fractions. Calculate a percentage of a quantity and Know percentage equivalents of decimals with denominators 2, 4, 5, 10 and 25.
Unit 2 – Number system	Order positive and negative integers and decimals. Multiply and divide by powers of 10. Round numbers to appropriate accuracy, integer or decimal place values.
Unit 3 - Indices	Apply and use simple laws of indices. Recall and use square numbers up to 15 x 15 and their corresponding roots. Use vocabulary of product notation and unique prime factorisation theorem.
Unit 4 – Equations and formulae	Form and Solve linear equations in one unknown. To expand and factorise linear expressions. Understand the difference between expressions, equations, formulae and identities. Substitute values into simple expressions and formulae.
Unit 5 - Proportion	Use ratio notation, including cancelling to the simplest form. Express the division of a quantity into two parts as a ratio. Simplify a ratio in the form 1: n or n:1.
Unit 6 – Mensuration	Recognise that shapes with the same areas can have different perimeters and vice versa. Calculate volume of cubes and cuboids using standard units. Understand and use approximate equivalences between metric units and common imperial units such as inches, pounds and pints. Know and apply formulae to calculate area of triangles, parallelograms, trapezia.
Unit 7 – Graphs and sequences	To draw and interpret real life graphs. Use a table of values to plot graphs of linear functions. Find the nth term of linear/quadratic sequences. Recognise sequences including Fibonacci-type sequences, quadratic sequences, and simple geometric progressions.
Unit 8 – Transformations	Identify, describe and construct congruent shapes, including on coordinate axes, by considering rotation, reflection and translation. Identify, describe and construct similar shapes, including on coordinate axes, by enlargement with positive scale factors.
Unit 9 – Angles	Apply the properties of angles at a point, angles on a straight line, vertically opposite angles. Derive and use the sum of angles in a triangle, quadrilateral and pentagon to calculate internal and external angles. Identify alternate and corresponding angles on parallel lines.
Unit 10 – Probability	Design and use a frequency tree and determine the probability of an event. Design and use two-way tables. Construct Venn diagrams based on information provide.
Unit 11 – Statistics	Calculate the median, mean, mode, and range from a set of discrete data. Construct and interpret line graphs and composite bar charts for grouped and ungrouped data. Construct and interpret simple pie charts.
Unit 12 – Constructions	Construct triangles and 2-D shapes using given dimensions and angles. Identify properties of the faces, surfaces, edges and vertices of: cubes, cuboids, prisms, cylinders, pyramids, cones and spheres.

Year 8

Unit 1 – Calculation	Apply the four operations (including formal written methods) to simple fractions and mixed numbers. Using fractions to solve mathematical problems. Percentage increase and decrease using decimal multipliers.
Unit 2 – Number system	Convert between improper and proper fractions and Order fractions. Estimate powers and roots of any given positive number. Round numbers to significant figures.
Unit 3 - Indices	Construct and rearrange simple formulae and expressions including from real world contexts. Use vocabulary of highest common factor, lowest common multiple, prime factorisation, including finding HCF and LCM using products of prime factors.
Unit 4 – Equations and formulae	Form and Solve linear equations with unknowns on both sides. To expand and factorise positive and negative terms over a simple bracket. Solve fractional equations using balancing method. Construct and rearrange simple formulae and expressions including from real world contexts. Interpreting simple expressions as functions with inputs and outputs.
Unit 5 - Proportion	Share in a ratio including where one part is known. Use scale factors, scale diagrams and maps. Problems involving direct proportions.
Unit 6 – Mensuration	Use standard units of measure and related concepts (length, area, volume/capacity, mass, time, money, etc.). Measure and calculate the area and perimeter of composite rectilinear shapes in centimetres and metres. Calculate volume of cubes and cuboids using standard units. Know and use Area and Circumference of a circle formulae.
Unit 7 – Graphs and sequences	Recognise and use sequences including Fibonacci-type sequences, quadratic sequences and geometric progressions. To use a table of values and draw straight line, quadratic graphs, simple cubic functions, the reciprocal function. To find the y intercept and gradient of straight-line graphs. Find the equation of a straight line in the form y = mx + c.
Unit 8 – Transformations	Draw and translate simple shapes on the coordinate plane, and reflect them in the axes. Identify, describe and construct similar shapes, including on coordinate axes, by considering enlargement fractional scale factors.
Unit 9 – Angles	Understand and use alternate and corresponding angles on parallel lines. Derive and use the sum of angles in a triangle to derive properties of regular/irregular polygons to calculate internal and external angles. Draw and measure bearings.
Unit 10 – Probability	Display the outcomes of combined or successive events in a two-way table. Construct Venn diagrams based on information provided, including information presented in set notation. Complete a tree diagram to show outcomes and probabilities. Understand and use the term relative frequency.
Unit 11 – Statistics	Calculate the mean, median, mode and range from a frequency table. Use the averages and range to compare two sets of data and identify outliers. Construct and interpret scatter graphs and identify types of correlation.
Unit 12 – Constructions	Identify and describe congruent shapes. Interpret and construct plans and elevations of 3D shapes. Use the standard ruler and compass constructions including bisector of a line and angle.

Year 9

Unit 1 – Calculation	Work with terminating decimals and their corresponding fractions. Calculate with fractions. Calculate percentage change and reverse percentages.
Unit 2 – Number system	Calculate, convert and interpret standard form Ax10n . Use positive integer powers and associated real roots (square, cube and higher). Use inequality notation to specify simple error intervals due to truncation or rounding.
Unit 3 - Indices	Calculate with fractional indices. Simplify algebraic expressions using multiplication and division of integers powers.
Unit 4 – Equations and formulae	Solve two linear simultaneous equations algebraically and graphically. Expand and factorise products of two binomials. Substitute values into complex expressions and formulae involving powers and roots.
Unit 5 - Proportion	Apply ratio to real contexts and problems (conversion, comparison, scaling, mixing, concentrations, best buy problems). Compare lengths, areas and volume using ratio notation. Problems involving direct and inverse proportion.
Unit 6 – Mensuration	Change freely between related standard units in numerical contexts. Investigate Pythagoras’ theorem and Trigonometric ratios and apply in right-angled triangles. Calculate arc lengths, angles and areas of sectors of circles.
Unit 7 – Graphs and sequences	Deduce expressions to calculate the nth term of linear sequences including quadratic sequences. Use the form y = mx + c to identify parallel/perpendicular lines; find the equation of the line through two given points or through one point with a given gradient. Recognise, sketch and interpret graphs of linear functions, quadratic functions, simple cubic functions, the reciprocal function and identify and interpret roots, and exponential graphs.
Unit 8 – Transformations	Identify, describe and construct similar shapes, including on coordinate axes, by considering enlargement negative scale factors. Describe the changes and invariance achieved by combinations of rotations, reflections and translations.
Unit 9 – Angles	Apply angle facts, triangle congruence, similarity and properties of quadrilaterals to conjecture and derive results about angles and sides. Measure line segments and angles in geometric figures, including interpreting maps and scale drawings and use of bearings.
Unit 10 – Probability	Use a tree diagram as a method for calculating conditional probabilities. Use a Venn diagram as a method for calculating conditional probabilities. Estimate probabilities by considering relative frequency.
Unit 11 – Statistics	Calculate an estimate of the mean for a grouped frequency distribution, knowing why it is an estimate. Draw line of best fit and estimate from scatter graph and understand that correlation does not indicate causation. Plot and interpret time-series graphs. Use a time-series graph to predict a subsequent value.
Unit 12 – Constructions	Use the standard ruler and compass constructions and use these to construct given figures and solve loci problems; know that the perpendicular distance from a point to a line is the shortest distance to the line.