# Curriculum: Years 7 to 11

Students follow a 5 year curriculum plan to enable them to be ready for taking their GCSE at the end of year 11.

The curriculum plan is broadly split up into the following areas: number, algebra, geometry, ratio & proportion, statistics and probability.

Determined by their KS2 SATs result, internal base line testing and regular in class assessment students follow a specifically designed route through these topics to develop understanding and build upon previous knowledge, allowing them to reach the highest level possible by the end of each year.

Throughout all years students sit regular end of unit knowledge checks to ensure progress. These enable areas of weakness to be quickly targeted within class and study support before their two main assessment points each year.

By the end of year 11 students will be ready for entry into one of two tiers for the GCSE; Foundation covering grades 1-5 or Higher covering grades 4-9.

The GCSE is assessed by three papers at the end of the course in year 11 (1 x non calculator and 2 x calculator) they are all 1 hour and 30 minutes long and contain a mix of question styles, from short, single-mark questions to multi-step problems. The mathematical demand increases as a student progresses through the paper.

An overview of each year groups curriculum plan is as follows:

### Year 7

Half Term 1 Half Term 2 Half Term 3
Reasoning with number: Ordering numbers including integers and decimals, using inequalities and rounding to nearest 10, 100, 1000, decimal places and significant figures. Using these skills in a variety of situations.
Addition and Subtraction: With negatives and in a variety of contexts including bank statements, time, frequency trees and perimeter.
Multiplication and Division: With integers, by 10, 100, 1000, with decimals and negative numbers, using all of these skills in problems.
Application of Multiplication and Division: Including with powers and roots, using these to find highest common factor and lowest common multiples. This will also be applied to estimate calculations, finding the mean and other applications.
Geometric Multiplication and Division: Finding areas of different shapes including rectangles, parallelograms, triangles and compound shapes extending to other shapes where possible.
Understanding Fractions: Working with fractions to express one quantity as a fraction of another and manipulate fractions to find equivalent fractions, fractions of amounts and increases and decreases.
Fractional Operations: Performing calculations with fractions including addition and subtraction, multiplication and division.
Shape Properties:
Using shape properties in different problems including with coordinates.
Half Term 4 Half Term 5 Half Term 6
Working with angles: Including learning notation used with angles and using angles rules to find missing angles and solve problems.
Percentages: Working with percentages to convert between fractions, decimals and percentages. Using percentages to find quantities including percentage increase and decrease.
Representing Data: Using different charts and diagrams to represent data including bar and line charts, pie charts and extending into probability and finding all options for events. Algebraic Expressions: Working with and forming expressions, substituting values into expressions and expanding single brackets.
Algebraic Equations: Solving one and two step equations extending to solving with brackets.

### Year 8

 Half Term 1 Half Term 2 Half Term 3 Algebraic Manipulations: Extending substitution and expanding brackets into factorising into single brackets and expanding double brackets. Sequences and order: Extending solving equations to rearranging simple formulae, Looking at how these can be applied to sequences and finding the nth term of sequences. Angle Reasoning: Create scale drawings and extending angle knowledge into bearings and parallel lines 2D Shape Application: Extending students’ knowledge of area of trapeziums, circles and then to find the surface area. Ratio: Dividing an amount into a given ratio. Working with ratio information given to find missing parts. Compound units: Working with speed, distance and time to solve problems and calculate units, then extending to creating distance time graphs. Working with density mass and volume to solve problems. Half Term 4 Half Term 5 Half Term 6 Direct and Inverse Proportion: Using direct proportion to solve problems with recipes and best buy. Using graphs to convert measurements and currency. Reasoning in 3D and understanding Capacity: Creating nets and drawing plans and elevations of 3D solids. Extending to finding the volume of prisms and cylinders. Working with Data: Calculating and using the appropriate average for different situations. Extending to finding averages from frequency tables. Representing data on scatter graphs and frequency polygons. Working in the Cartesian plane: Using coordinates in problems and then extending to draw linear graphs. Constructions and Loci: Use compasses and protractors to perform constructions including perpendicular bisector, angle bisector and to construct triangles. Algebra: Extending solving equations to solve simultaneous equations both algebraically and graphically.

### Year 9

Half Term 1 Half Term 2 Half Term 3
###### Foundation
Basic Number: Building upon students’ knowledge on place value
negative numbers, inequalities, using the four operations with integers and decimals including using the order of operations.
Measures and Scale Drawings: Converting between metric numbers and then moving on to converting between imperial units using these in scale drawings and then plans and elevations.
Charts, Tables and Averages: Building upon students’ prior knowledge to represent data with pictograms, bar charts and vertical line graphs, then moving on to interpreting this data and find averages.
###### Higher
Basic Number: Solving real life problems involving multiplication and division. Multiplication and division of decimals. Prime factors and using this to find the HCF and LCM. Calculations with negative numbers.
Fractions, Ratio and Proportion: Writing one quantity as a fraction of another, calculating with fractions (all four operations) Increasing and decreasing by a percentage and writing one quantity as a percentage of another.
Statistical Diagrams and Averages: Draw and interpret pie charts and line graphs, then using statistical measures for discrete and continuous data. Drawing scatter diagrams.
Number and Sequences: Finding the nth term of llinear and quadratic sequences and looking at special sequences such as square numbers.
###### Foundation
Angles: Extending pupils’ knowledge of angles rules including in polygons, parallel lines and using the properties of
polygons to find missing angles.
Number Properties: Finding multiples, factors and prime factors, moving onto the HCF and LCM, special numbers such as square numbers and square roots. How to use a calculator will also be covered.
###### Higher
Ratio and Proportion: Simplifying ratios, dividing into a given ratio, and completing calculations with a given ratio. Direct proportion problems including best buys. Solving problems including density,
mass and volume. Calculating compound interest and finding repeated percentage change.
Angles: Using angle facts to find missing angles in polygons, parallel lines, and special quadrilaterals. Using scale drawings and bearings to solve problems.
Transformations,
constructions and loci:
Demonstrating that two
triangles are congruent.
Performing transformations
(reflection, rotation, translation and enlargement) and a combination of these. Constructing bisectors, loci
and solving problems with loci. Constructing plans and elevations.
###### Foundation
Approximations: Rounding wholes numbers, decimals and approximating calculations.
Decimals and Fractions: Calculating with decimals and fractions. Finding the reciprocal of fractions and using a calculator with fractions.
###### Higher
Algebraic Manipulation: Factorising into single brackets, quadratic expansion including squares.
Expanding more than two
brackets. Extending to
including with a coefficient
bigger than 1. Changing the subject of a formula.
Half Term 4 Half Term 5 Half Term 6
###### Foundation
Linear Graphs: Drawing straight line graphs by plotting points. Looking at the properties of straight line graphs including the gradient, intercept and the equations of a line, extending to parallel lines. Graphs will be used to solve simultaneous equations. Real life uses of graphs for example conversion graphs and formulae representations.
Expressions and Formulae: Substituting into expressions and formulae. Expanding and factorising single brackets, this will be extended to quadratic expansion and factorisation. Changing the subject of a formulae will also be covered.
###### Higher
Length, Area and Volume: Calculating the area of parallelograms and trapeziums. Finding the circumference and area of a circle extending to sectors. Finding the volume of prisms, cylinders, pyramids, cones and spheres.
Linear Graphs: Drawing linear graphs by finding points, finding the gradient of a line and using this to find the equation extending to parallel and perpendicular lines. Drawing graphs using the gradient and intercept method and finding the equation of the line from its graph. Using graphs for real life situations and then solving simultaneous equations using their graphs
###### Foundation
Ratio, Speed and Proportion: Simplifying ratios, writing ratios as a fractions, divide into given ratios and solving problems with part information. Speed, distance, time calculations will be used to find the average speed, distance travelled and the time taken for a journey. Direct proportion problems will be looked at along with best buy problems.
Perimeter and Area: Finding the area of rectangles, triangles, parallelograms, trapeziums and circles including giving answers in terms of pi.
###### Higher
Right angled Triangles: Calculating the longest and shortest side using Pythagoras’ theorem and then applying to different situations including in 3D. Using trigonometry to find missing angles and sides including in problems involving bearing and isosceles triangles.
Similarity: Using similarity to find missing lengths and then extending to area and volume.
Exploring and applying Probability: Understanding experimental probability and mutually exclusive events. Using probability to work out the number of times something should occur. Using two way tables and tree diagrams to calculate probability.
###### Foundation
Transformations and Vectors: Rotational symmetry, rotations about a given point, reflections including with given equation of line, translations, enlargements from a given point and combinations of transformations. Adding and subtracting vectors.
Probability and Events: Calculating probabilities of an event. Looking at experimental probability and how this compares to theoretical probability. Expectation of the number of times an event will occur and looking at number of different ways an outcome can happen.
###### Higher
Powers and Standard Form: Using laws and indices to calculate with powers. Writing very small and large numbers in standard form and then use this to perform calculations.
Equations and Inequalities: Solving linear equations extending to those with fractions. Solving linear simultaneous equations using the substitution, elimination and graphical method. Solving inequalities and solve other equations using trial and improvement

# Mathematics

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