# Mathematics

#### Year 7 Curriculum plans

Term | What are we learning? | What Knowledge, Understanding and Skills will we gain? | What will excellence look like? | How will these be assessed? |

Autumn |
Set 1:Analysing and displaying data.Number skills.Multiplicative reasoning. | Students will be presenting data in a variety of tables, charts and graphs. They will calculate the mean, mode, median and range. They will learn how to read and interpret data to draw conclusions.Students will practise different number calculation techniques and strategies. They will learn about multiples, primes, factors, HCF, LCM, squares, cubes and roots.Students will learn about ratio, proportion and multiplicative reasoning techniques. This will include metric and imperial units. | Students will also be able to select the most appropriate average for a set of data and compare data sets using the different averages and the range. They will be able to interpret what data and graphs show them in real life contexts and recognise when a graph is misleading.Students will also be able to apply different number techniques and facts to solve problems.Students will also apply these ratio, proportion and multiplicative reasoning techniques to solve problems. | These units will be assessed using formative assessment whilst being delivered. The end of unit assessment will be marked by the teacher and recorded centrally for monitoring progress. |

Autumn |
Set 2 & 3:Analysing and displaying data.Number skills. Decimals and measures.Expressions, functions and formulae. | Students will be presenting data in a variety of tables, charts and graphs. They will calculate the mean, mode, median and range. They will learn how to read and interpret data to draw conclusions.Students will practise different number calculation techniques and strategies. They will learn about BIDMAS, rounding and estimation. They will learn about multiples, primes, factors, HCF, LCM, squares, cubes and roots.Students will learn methods for calculating with decimals including ordering and rounding. They will also use and convert between different units of measure.Students will learn different algebraic manipulation techniques. | Students will also be able to compare data sets using the different averages and the range. They will be able to interpret what data and graphs show them in real life contexts.Students will also be able to apply different number techniques and facts to solve problems.Students will also be able to apply all the decimal manipulation methods and use the of measures to solve problems in context.Students will also be able to develop and apply these algebraic techniques for use in simple contexts. | These units will be assessed using formative assessment whilst being delivered. The end of unit assessment will be marked by the teacher and recorded centrally for monitoring progress. |

Autumn |
Set 4:Analysing and displaying data.Calculating. Decimals and measures.Expressions, functions and formulae. | Students will be presenting data in a variety of tables, charts and graphs. They will calculate the mean, mode, median and range. They will learn how to read and interpret data to draw conclusions.Students will practise different number calculation techniques and strategies. They will learn about rounding and estimation. They will learn about multiples, primes, factors, squares, cubes and roots.Students will learn methods for calculating with decimals including ordering and rounding. They will also use and convert between different units of measure.Students will learn different algebraic manipulation techniques. | Students will also be able to compare data sets using the different averages and the range. They will be able to interpret what data and graphs show them in real life contexts.Students will also be able to apply different number techniques and facts to solve problems.Students will also be able to apply all the decimal manipulation methods and use the of measures to solve problems in context.Students will also be able to develop and apply these algebraic techniques for use in simple contexts. | These units will be assessed using formative assessment whilst being delivered. The end of unit assessment will be marked by the teacher and recorded centrally for monitoring progress. |

Spring |
Set 1:Equations, functions and formulae.Angles and shapes.Decimals.Fractions. | Students will learn different algebraic manipulation techniques. They will work with expressions and use formulae.Students will learn to use the properties of 2D shapes including rotational and line symmetry. They will also learn the angle properties of 2D shapes and parallel lines.Students will learn methods for calculating with decimals and fractions including converting between fractions, decimals and percentages. | Students will also be able to develop and apply these algebraic techniques for use in simple contexts.Students will also be able to combine use of all of the 2D shape and angle concepts to solve more complex problems.Students will also be able to apply these methods for calculating with decimals and fractions. They will be converting between fractions, decimals and percentages fluently to solve problems including comparing proportions. | |

Spring |
Set 2 & 3:Fractions.Probability.Ratio and proportion. | Students will learn methods for calculating with fractions including converting between fractions, decimals and percentages.Students will learn the language of probability, identifying outcomes and calculating simple probabilities.Students will learn how to calculate with ratios and proportion. They will convert between measures and compare proportions. | Students will also be able to apply these methods for calculating with fractions. They will be converting between fractions, decimals and percentages fluently to solve problems including comparing proportions.Students will also be able to apply their knowledge of probability including calculating experimental probability.Students will also be able to apply the techniques with ratio and proportion to solve worded problems. | |

Spring |
Set 4:Graphs.Factors and multiples.Angles and lines. | Students will learn how to plot co-ordinates, use function machines and a table of values to draw simple linear graphs. They will apply graphing techniques to simple real-life graphs.Students will learn about factors and multiples. They will also learn to use BIDMAS with different multiplication and division techniques.Students will learn the basic angle vocabulary, to measure and draw angles. They will also learn to use basic angle properties and compass directions. | Students will also be able to draw line graphs to show relationships and read real-life and scientific graphs.Students will also be able to solve simple worded problems that use factors, multiples, multiplication, division and correctly prioritising the order of operations.Students will also be able to solve problems with angles on a straight line and around a point. They will also recognise parallel and perpendicular lines. | |

Summer |
Set 1We are learning to solve equations. We will learn about the properties of 2D and 3D shapes.We will also learn about sequences and line graphs. | Students will be developing their algebra by learning to solve linear equations using different techniques.Students will calculate the perimeter and area of 2D shapes, learn about the properties of 3D solids and calculate the volume and surface area of cubes and cuboids.Students will learn about arithmetic sequences, sequences with patterns. They will draw and recognise straight line graphs and calculate mid-points. | Students will be able to solve two-step equations and equations with an unknown on both sides.Students will be able to calculate the perimeter and area of compound shapes, the volume and surface area of more complex shapes and convert between units for area and volume.Students will work out the nth term of a linear sequence and begin to understand geometric sequences. They will recognise line graphs parallel to the axis and plot linear graphs from a table of values. | |

Summer |
Set 2 and Set 3 We are learning about angles, triangles and quadrilaterals. | Students will learn to draw and measure angles and triangles accurately. They will solve problems by calculating unknown angles in triangles and quadrilaterals. | Students will be able to solve problems with angles on a straight line, around a point and opposite angles. They will apply angle facts to solve problems with triangles and quadrilaterals. | |

Summer |
Set 2 and Set 3 We will learn about sequences and line graphs. We will also learn about transforming 2D shapes. | Students will learn about arithmetic sequences, sequences with patterns. They will draw and recognise straight line graphs and calculate mid-points.Students will transform 2D shapes using translations, rotation, reflection and enlargement. They will learn to identify congruent shapes. | Students will work out the nth term of a linear sequence and begin to understand geometric sequences. They will recognise line graphs parallel to the axis and plot linear graphs from a table of values.Students will correctly apply the four basic transformations on both squared paper and a coordinate grid. | |

Summer |
Set 4We are learning about transforming 2D shapes and calculating area and perimeter.We will also learn to work with fractions, decimals and percentages | Students will learn about the properties of 2D shapes including polygons. They will describe line symmetry and rotational symmetry of shapes. They will learn to identify congruent shapes and translate shapes on a square grid.They will calculate the perimeter and area of squares and rectangles.Students will learn to order and compare fractions, simplify fractions and change improper fractions to a mixed number.They will do simple calculations with fractions and calculate simple fractions of quantities. They will learn about decimals and percentages. | Students know the properties of 2D shapes including polygons and will solve problems with line symmetry and reflective symmetry including in polygons. They will be able to translate a shape and identity congruent shapes. They will calculate the perimeter and area of compound shapes made from squares and rectangles.Students will be able to manipulate and do simple calculations with fractions. They will solve worded questions using fractions. The will convert between fractions, decimals and percentages correctly. They will calculate fractions and percentages of amounts. |

#### Year 8 Curriculum plans

Term | What are we learning? | What Knowledge, Understanding and Skills will we gain? | What will excellence look like? | How will these be assessed? |

Autumn |
Set 1:Probability.Real-life graphs.Scale drawings and measures.Working with powers. | Students will learn how to calculate probabilities, using the laws of probability. This will include listing the outcomes of two events in a sample space or a Venn diagram.Students will use ratio and direct proportion, numerically and graphically to solve problems. They will interpret real-life graphs, distance-time graphs and non-linear graphs.Students will learn how to read, draw and interpret maps, plans and bearings. They will also recognise congruent and similar triangles and quadrilaterals.Students will develop algebraic manipulation techniques using indices and brackets, expansion and factorising expressions and solving equations. | Students will also use the laws of probability to solve worded problems. They will use Venn diagrams for three events and understand experimental probability and relative frequency.Students will also understand the use of linear and non-linear graphs in context and understand when they are misleading.Students will also be able to apply the use of maps, plans and bearings to solve real-life problems. Congruence and similarity will be used to solve more complex problems.Students will also be able apply these algebraic techniques further and form and solve more complex equations. | |

Autumn |
Set 2 & 3:Probability.Decimals and ratio.Straight-line graphs.Expressions and equations. | Students will learn how to calculate probabilities, using the laws of probability. This will include listing the outcomes of two events in a sample space or a Venn diagram.Students will be able to work with decimals using mental and written methods. They will also work with ratios and proportion to solve problems.Students will recognise graphs in direct proportion. They will plot straight-line graphs and work out the gradient, y-intercept and the equation of a line.Students will develop algebraic manipulation techniques using indices and brackets, expansion and factorising expressions and solving equations. | Students will also use the laws of probability to solve worded problems. They will use Venn diagrams for three events and understand experimental probability and relative frequency.Students will also to work fluently with decimals and apply the ratio and proportion techniques to more complex science and engineering problems.Students will also plot more complex linear graphs, find the mid-points of line segments. They will use direct proportion to solve more complex problems with and without a graph.Students will also be able apply these algebraic techniques further and form and solve more complex equations. | |

Autumn |
Set 4:Probability.Number properties and calculations.Shapes and measures in 3D. | Students will learn how to calculate probabilities, using the laws of probability. This will include use of key vocabulary, fractions, decimals and percentages.Students will practise different number skills using a variety of different methods. This will include BIMAS, decimals. directed numbers and ratios.Students will use the properties of 3D shapes. They will recognise nets, calculate area and volumes. | Students will also use the laws of probability to solve worded problems and compare probabilities in simple contexts.Students will also solve worded problems with ratios, proportion and multiplicative techniques.Students will also draw nets accurately, calculate surface areas and convert between metric units including capacity. | |

Spring |
Set 1:Graphs.2D shapes and 3D solids.Transformations.Constructions and loci. | Students will learn how to plot linear graphs and understand the key features including the gradient, y-intercept and the equation of a line. They will also be able to identify parallel and perpendicular lines.Students will use the properties of 2D and 3D shapes, recognise nets and calculate circumference and area of circles, area, volume and surface areas. They will use Pythagoras to calculate the hypotenuse on a triangle.Students will perform translation, rotation, reflection and enlargement.Students will draw triangles, quadrilaterals and nets accurately. They will use a ruler and compasses to bisect lines and angles. | Students will also apply the graphing techniques to real-life graphs including plotting non-linear graphs.Students will solve worded problems for circumference and area of circles, areas, volumes and surface areas. They will use Pythagoras to calculate any unknown side lengths on triangles.Students will be able to enlarge shapes with a negative or fractional scale factor also perform combinations of transformations.Students will also be able to apply their construction skills to draw loci accurately and solve real-life problems. | |

Spring |
Set 2 and 3:Real-life graphs.Area and volume.Lines and angles. | Students will learn how to plot linear graphs and understand the key features including the gradient, y-intercept and the equation of a line. They will also be able to draw, use and interpret conversion graphs and distance-time graphs.Students will use the properties of 2D and 3D shapes, recognise nets and calculate circumference and area of circles, area, volume and surface areas. They will sketch views of 3D solids. They will convert between units of measures.Students will be able to use the properties of 2D shapes, parallel lines and angles to solve problems. They will also calculate interior and exterior angles of polygons. | Students will also apply the graphing techniques including interpreting information from complex real-life graphs, reading values and discussing trends of non-linear graphs.Students will also solve worded problems for circumference and area of circles, areas, volumes and surface areas. They will also begin to convert between units for area and volumes.Students will also be able to use basic angle proofs with alternate and corresponding angles. They will also solve more complex geometrical problems. | |

Spring |
Set 4:Expressions and equations.Angles.Decimal calculations.Sequences. | Students will learn algebraic manipulation techniques to simplify expressions and expand brackets. They will learn to solve simple equations using inverse function machines.Students will be able to use the properties of 2D shapes, parallel lines and angles to solve problems. They will also calculate interior and exterior angles of triangles and quadrilaterals. They also will draw nets of 3D shapes.Students will practise using methods for rounding, ordering and calculating with decimals. They will use inequalities to compare decimals.Students will work with different sequences with patterns and numbers to form term-to-term rules and position-to-term rules for arithmetic sequences.They will recognise and continue some special sequences. | Students will also construct simple functions in context and solve more complex linear equations. They will understand the difference between an expression and an equation.Students will also be able to solve more complex geometrical problems by combining angle facts. They will also use a ruler and a protractor to draw accurate nets of 3D shapes. They will also investigate side lengths on right angled triangles.Students will also solve problems using decimal calculations in the context of science and technology.Students will also begin to recognise geometric sequences and generate sequences from the nth term. They will apply simple sequences to real-life contexts. | |

Summer |
Set 1We are learning to work with prime factors, powers, fractions, decimals and percentages. We will also work with statistics, graphs and charts. | Students will learn about prime factor decomposition, the laws of indices and the powers of 10. Students will learn to round to significant figures and estimate calculations. Students will learn about recurring decimals and calculate with percentages, finding original quantities and percentage change. Students will learn to draw and interpret pie charts, tables, stem and leaf diagrams and to plot scatter graphs. | Students will use prime factor decomposition to work out the HCF and LCM. They will be able to calculate using indices. They will solve problems using significant figures and estimation. They will change recurring decimals to fractions and solve worded problems calculating percentage increase and decrease, original quantities and repeated percentage change. Students will use statistical tables, graphs and charts to understand the world, compare data and identify misleading graphs. | |

Summer |
Set 2 and Set 3We are learning different written methods for solving problems with numbers. We will also learn how to calculate with fractions, decimals and percentages. We will also work with statistics, graphs and charts. | Students will learn written calculation methods for decimals, negative numbers, powers, roots and brackets. They will find multiples and factors of numbers. Students will learn about recurring and terminating decimals, equivalent fractions, decimals and percentages. Students will calculate with percentages and percentage increases and decreases. Students will learn to draw and interpret pie charts, tables, stem and leaf diagrams and to plot scatter graphs. | Students will be able to solve worded problems using written calculation methods, work out the HCF and LCM and substitute negatives, powers, roots and brackets into formulae. Students will be able to solve various real life maths problems using fractions, decimals and percentages. Students will use statistical tables, graphs and charts to understand the world, compare data and identify misleading graphs. | |

Summer |
Set 4We are learning about different number properties and how to calculate when solving problems. We will also work with data, graphs and charts. | Students will learn to calculate with squares, roots, brackets, indices. Students will work with factors, multiples, prime factor decomposition, HCF and LCM. Students will learn about comparing fractions, equivalent fractions and calculating with fractions. Students will calculate with percentages including percentages of amounts. Students will learn to collect data and interpret data in tables. Students will also draw and interpret bar charts and pie charts. | Students will apply the rules of BIDMAS correctly when calculating with squares, roots, brackets, indices. Students will be able to solve worded problems using written calculation methods,factors, multiples, prime factor decomposition, HCF and LCM. Students will apply the rules of fractions to solve problems and calculate percentages in context. Students will use data and statistical tables, graphs and charts to understand the world and compare data. |

#### Year 9 Curriculum plans

Term | What are we learning? | What Knowledge, Understanding and Skills will we gain? | What will excellence look like? | How will these be assessed? |

Autumn |
Set 1:Powers and roots.Quadratics.Inequalities, equations and formulae.Multiplicative reasoning. | Students will practise manipulating and calculating with indices. This will include the reciprocal, negative and fractional indices. They will write and calculate with numbers written in standard form.Students will generate quadratic sequences and develop their algebraic manipulation techniques to expand and factorise quadratics. They will also solve quadratic equations by factorising.Students will learn to solve linear inequalities algebraically and show their solutions on a number line. They will construct and solve equations and change the subject of a formula.Students will calculate arc lengths and areas of sectors. They will show direct proportion between data sets and solve real-life problems. | Students will also be able to apply the laws on indices and standard form to more solve complex problems in science and engineering.Students will also find an expression for the nth term of a quadratic sequence. They will apply their skills with quadratic equations to solve problems.Students will also be able to solve and construct complex equations and begin to work with algebraic fractions.Students will also solve more complex problems with direct and inverse problems in context. | |

Autumn |
Set 2 & 3:Indices and standard form.Expressions and formulae.Multiplicative reasoning.Dealing with data. | Students will practise calculating with combinations of indices, fractions and brackets. They will write numbers written in standard form.Students will develop their algebraic manipulation skills including expanding and factorising expressions. They will substitute into formulae, solve equations and change the subject of a formula.Students will use multiplicative reasoning to enlarge shapes, and solve problems using ratios and scale factors. They will also calculate percentage change and original values.Students will develop their data analysis techniques including collecting data, avoiding bias, calculating with grouped data and bivariate data. | Students will also calculate with indices including zero and negative indices. They will use standard form in the context of science and engineering.Students will also expand and factorise double brackets.Students will use also enlarge shapes by negative and fractional scale factors. They will also solve problems with compound measures and constant rates of change.Students will also identify sources of data, select sample sizes, design questionnaires and data collection sheets. They will also use a line of best fit and identify outliers. | |

Autumn |
Set 4:Number calculations.Sequences and equations.Algebraic and real-life graphs.Statistics. | Students will practise calculating with integers, decimals and indices. They will calculate using negative numbers, squares, cubes and roots.Students will develop algebraic techniques and use sequences to solve problems.Students will plot linear graphs from a table of values. They will read, draw and interpret real-life graphs and distance time graphs.Students will develop their data analysis techniques including the mean from frequency tables. They will draw pie charts and scatter diagrams. | Students will also use prime factor decomposition to find the HCF and LCM to solve problems.Students will also write and solve linear equations using a number machine and generate the nth term of a linear sequence.Students will also identify the key features of linear graphs. They will calculate the mid-points of line segments graphically and from co-ordinates. Students will also compare two sets of data using the median, mean and range. They will also use a line of best fit to make estimate readings and understand what make different graphs misleading. | |

Spring |
Set 1:Collecting and analysing data.Non-linear graphs.Accuracy and measures. | Students will develop their data analysis techniques including data collection, sampling and calculating the mean and range from grouped frequency tables. They will draw stem and leaf diagrams, cumulative frequency graphs and box plots.Students will draw graphs of quadratic functions and use them to solve equations. They will also plot cubic and reciprocal functions.Students will learn about different rates of change, calculating compound measures. They will also calculate upper and lower bounds and error intervals. | Students will also interpret the stem and leaf diagrams and box plots to compare data sets.Students will also recognise the key features of quadratic, cubic and reciprocal graphs. They will use graphs to solve real-life problems.Students will also convert between compound units and calculate best and worst-case scenarios when solving real life problems using bounds. | |

Spring |
Set 2 & 3:Constructions.Equations, inequalities and proportionality.Circles, Pythagoras and prisms. | Students will draw 2D shapes, nets, constructions and loci accurately using compasses. They will use scales on maps and diagrams.Students will develop their algebraic manipulation techniques. They will solve more complex equations, change the subject of a formula. They will also solve problems with direct proportion.Students will solve problems with circles, Pythagoras’ Theorem, volumes and surface areas of prisms. | Students will also draw loci that follow given rules and learn to shade regions to solve problems.Students will also use trial and improvement to find decimal solutions to equations. They will also solve linear inequalities and simple simultaneous equations. Students will also find upper and lower bounds and error intervals. | |

Spring |
Set 4:Fractions, decimals and percentages.Multiplicative reasoning.Geometry in 2D and 3D. | Students will practise methods for calculating with fractions, decimals and percentages. They will calculate percentage of amounts.Students will share quantities in a given ratio and solve ratio and proportion problems with bar models. They will convert between metric units.Students will use the angle properties of parallel lines and interior and exterior angles in polygons to solve problems. They will read maps and make scale drawings. They will calculate volume of cuboids and L-shaped prisms. | Students will also solve worded problems with fractions, decimals and percentages. They will know the difference between terminating and recurring decimals. They will calculate percentage increases and decreases. Students will also plot graphs to show direct and inverse proportion in context and convert between metric and imperial units. Students will also investigate Pythagoras’ Theorem. They will use compasses to draw line and angle bisectors. They will draw plans and elevations to represent 3D solids. | |

Summer |
Set 1We are learning about trigonometry to enable us to solve problems and plot the graphs of the three functions. We are also learning to apply mathematical reasoning to a variety of problems. | Students will learn to calculate a side length and an angle using tangent, sine and cosine ratios. Students will learn to sketch the graphs of the trigonometric ratios. Students will learn to explain, show and justify a mathematical solution to a problem. They will draw graphs to solve problems and begin to learn about mathematical proof and how to form a logical argument. | Students will be able to identify which trigonometric ratio to use to solve a particular problem and use it to calculate the correct solution. They will apply this to 3D problems with trigonometry. They will correctly identify the different graphs and their features. Students will be able to solve problems mathematically, use graphical modelling, how to demonstrate a mathematical proof and present a logical argument using algebra. | |

Summer |
Set 2 and Set 3We are learning to solve a range of different problems with probability. We will also learn about congruence and similarity. We will use trigonometry to solve problems with triangles. | Students will learn to calculate probabilities from tables and experimental and theoretical probability. They will draw sample space diagrams, Venn diagrams and tree diagrams to show the probability of two independent events. Students will learn about congruent and similar shapes. They will solve problems with similar triangles. Students will learn to calculate a side length using tangent, sine and cosine ratios. | Students will be able to solve a variety of real life probability problems using tables and diagrams. They will be able to compare theoretical and experimental probabilities. Students will identify if shapes are congruent or similar or neither. They will identify which trigonometric ratio to use to solve trigonometric problems and use it in context to calculate the correct solution. | |

Summer |
Set 4We are learning to solve a range of different problems with probability. We are also learning about 2D shapes and how to transform them on a coordinate grid. | Students will learn to calculate probabilities from tables and experimental and theoretical probability. They will draw sample space diagrams, tree diagrams to show and calculate probabilities. Students will learn to identify the properties of quadrilaterals and solve problems with side lengths of triangles. They will learn to translate and enlarge shapes on a coordinate axis. Students will recognise and solve problems with congruent triangles. | Students will be able to solve a variety of real life probability problems using tables and diagrams. They will be able to compare theoretical and experimental probabilities. Students will be able to solve problems with triangles and quadrilaterals and transform shapes correctly on coordinate axes. Students will identify if shapes are congruent or similar or neither. |

#### Year 10 Curriculum plans

Term | What are we learning? | What Knowledge, Understanding and Skills will we gain? | What will excellence look like? | How will these be assessed? |

Autumn |
Foundation:Number.AlgebraGraphs, tables and charts.Fractions and percentages. | Students will revisit the key number facts and their uses. This includes calculations, decimal numbers, place value, factors, multiples and primes, squares, cubes and roots, index notation, prime factors.Students will revisit their algebraic manipulation techniques. This includes simplifying expressions, substitution, using formulae, expanding brackets, factorising, using expressions and formulae.Students will learn how data can be presented, displayed, interpreted and utilised. This includes frequency tables, two-way tables, representing data, time series, stem & leaf diagrams, pie charts, scatter graphs, line of best fit.Students will practise calculating with fractions, decimals and percentages. This will include working with fractions, operations with fractions, multiplying and dividing fractions, fractions and decimals, fractions and percentages, calculating percentages. | Students will also be able to calculate fluently and solve problems in context using all of the skills gained.Students will also be able to apply the algebraic techniques to solve worded and geometrical problems. Students will also be able identify why graphs may be misleading and demonstrate that they can interpret what all of these different charts and graphs show and answer questions in many real-life contexts. Students will also be able to calculate fluently using each of these skills to compare investments, solve budgeting problems and answer reasoning questions with correct justifications. | These units will be assessed using formative assessment whilst being delivered. Past GCSE exam questions will be used within lessons and with the weekly homeworks. The end of unit assessment will be marked by the teacher and recorded centrally for monitoring progress. |

Autumn |
Higher:Number.Algebra.Interpreting and representing data.Fractions, ratio and percentages. | Students will revisit the key number facts and their uses. This will include solving number problems using reasoning, place value & estimation, HCF & LCM, calculating with indices, zero, fractional and negative indices, calculating in standard form, simplifying surds and rationalising the denominator.Students will revisit their algebraic manipulation techniques. This includes working with algebraic indices, expanding and factorising, solving equations, using and rearranging formulae, distinguishing between expressions, equations, formulae and identities, linear sequences, non-linear sequences, expand and factorise quadratics.Students will learn how data can be presented, displayed, interpreted and utilised. This includes drawing time series graphs, scatter graphs & LOBF, suitability of averages, averages and range of grouped data, two-way tables, misleading graphs.Students will practise calculating with fractions, decimals and percentages and ratios. This will include Calculating reciprocals, solve ratio problems, convert currencies & measures, direct proportion, percentage increases and decreases and real-life percentage problems. | Students will also be able to calculate fluently and solve problems in context using all of the skills gained.Students will also be able to apply these algebraic techniques to solve worded and geometrical problems.Students will also be able identify why graphs may be misleading and demonstrate that they can interpret what all of these different charts and graphs show and answer questions in many real-life contexts such as finance.Students will also be able to calculate fluently using each of these skills to compare investments, solve budgeting problems and answer reasoning questions with correct justifications. | These units will be assessed using formative assessment whilst being delivered. Past GCSE exam questions will be used within lessons and with the weekly homeworks. The end of unit assessment will be marked by the teacher and recorded centrally for monitoring progress. |

Spring |
Foundation:Equations, inequalities and sequences.Angles.Averages and range. | Students will develop their algebraic manipulation techniques, solving equations and inequalities, and working with sequences to solve problems. This will include solving linear equations, solving equations with brackets, introducing inequalities, solving inequalities, using formulae to solve equations, identify, equations, expressions, formulae and identities, generating sequences, nth term of a sequence.Students will use the angle properties of 2D shapes and parallel lines to solve problems. This will include angles in triangles, interior and exterior angles of polygons.Students will develop their further data handling techniques to present, display, calculate with and interpret data. This will include the mean & range from a list and frequency table, mode, median & range from a stem & leaf diagram, outliers, advantages and disadvantages of averages, estimate of mean, sampling and avoiding bias. | Students will also extend their use of all of these skills by solving problems with algebraic geometry, sequences, inequalities and solving equations from worded problems.Students will also confidently apply all the knowledge and skills to answer more complex geometrical problems.Students will also apply these techniques to analyse, interpret and comment on data that could occur in research, business and many other applications. They will also identify bias in data applications. | These units will be assessed using formative assessment whilst being delivered. Past GCSE exam questions will be used within lessons and with the weekly homeworks. The end of unit assessment will be marked by the teacher and recorded centrally for monitoring progress. |

Spring |
Higher:Angles and trigonometry.Graphs.Area and volume.Transformations and constructions. | Students will use angle properties of 2D shapes, Pythagoras’ Theorem and trigonometry to solve problems. This will include applying angle properties of triangles & quadrilaterals, interior & exterior angles of polygons, Pythagoras’ Theorem, trigonometry. angles of elevation & depression, know exact values of some trig ratios and use them to solve problems.Students will how to plot a range of different graphs accurately, demonstrating understanding and interpreting what is shown. This will include plotting linear graphs, finding the gradient, y-intercept, y=mx+c, graphing rates of change, work with line segments and plot quadratic graphs.Students will revisit how to calculate perimeter, area, volume and surface areas. This will include converting units of area and volume, accuracy & bounds, volume and SA of a prism, area & circumference of a circle, perimeter & area of sectors, volume & SA of cylinders, spheres, pyramids & cones.Students will learn to draw and interpret plans and elevations, scale drawings and bearings. They will perform transformations on 2D shapes and draw constructions accurately. | Students will also calculate angles of elevation & depression, know how to work out the exact values of some trig ratios without a calculator and use them to solve problems in context.Students will also be able to plot graphs of cubic & reciprocal graphs and identify their key features, draw and interpret linear & non-linear real-life graphs, draw the graph of a circle. Students will also apply these techniques to answering real life questions in different contexts. Students will also combine these skills to solve more complex geometrical problems algebraically as well as numerically.Students will also combine transformations, describe transformations fully and use their construction skills to solve problems on loci. They will learn how these techniques are used in construction and engineering to solve real-life problems. | |

Summer |
FoundationWe are learning to calculate perimeter, area, convert units, volumes and surface areas. We are also learning about linear graphs and the equation of a straight line. We will also learn to transform a shape correctly on coordinate axes. | Students will learn to calculate perimeter & area of rectangles, parallelograms, triangles & trapezia. Students will learn to convert units of area, calculate the area of compound shapes, volume and surface area of cuboids & prisms, converting units of volume. Students will learn to find the midpoint of a line, plot lines parallel to the axis, plot linear graphs, calculate gradient and the y-intercept and use it to find the equation of a line in the form y=mx+c. Students will also learn to draw and interpret real life graphs and distance-time graphs. Students will learn to translate a shape using a column vector, reflection, rotation and enlargement on a coordinate grid. They will learn to describe transformations and combine transformations. | Students will solve problems in context that require them to calculate perimeters, areas, volumes and surface areas of shapes. They will convert correctly between units of length, area and volume. Students will graphs of linear functions modelling real life scenarios, interpreting the gradient and y-intercept in context. They will be able to express the equation of the line in the form y=mx+c. Students will be able to interpret distance time graphs with different scales on the axes with accuracy. Students will be able to transform shapes correctly on a set of axes with all four quadrants. They will be able to describe transformations fully. They will combine transformations and then describe as a single transformation. | |

Summer |
HigherWe are learning to solve quadratic equations, simultaneous equations and inequalities. We are learning about probability and how it is represented with diagrams and tables. We will then calculate using the rules of probability to solve problems. We are learning how to solve problems by applying multiplicative reasoning techniques. We are learning to recognise congruence and similarity and to apply our knowledge to solve problems. | Students will learn to solve quadratic equations, use the quadratic formula and complete the square. Students will learn to solve simultaneous equations using algebraic methods. They will learn to solve linear inequalities and show solutions using set notation. Students will learn to calculate the probability of combined events, mutually exclusive events, experimental probability and independent events. Students will learn to use frequency trees and tree diagrams to calculate probabilities. They will learn to use Venn diagrams and set notation to represent probability. Students will learn how to calculate repeated percentage change for growth and decay. They will learn to convert metric speed measures and calculate with speed and acceleration. They will learn to solve problems with compound measures and solve problems with direct and indirect proportion. Students will learn the different conditions of congruence and proof and solve congruence problems. They will calculate the scale factors in similar shapes and calculate scale factors for areas and volumes. | Students will be able to select the correct method to use when solving quadratic equations. They will be able to apply this to questions in different contexts to find valid solutions. They will solve simultaneous equations where both are linear or there is one linear and one quadratic equation. They will solve inequalities and be able to show the solutions both on a number line or using set notation. Students will be able to solve a variety of complex probability problems including independent and dependent events. They will be able to use Venn diagrams and apply set notation to solving real life probability problems. Students will solve problems in context that involve repeated percentage change. They will be able to convert between different compound units and solve real life problems using various compound calculations including speed, density, pressure and rates of flow. They will recognise when to use different techniques to solve complex problems with direct and indirect proportion. Students will recognise the different conditions of congruence and proof and apply them to solve congruence problems. They will identify real life problems with similarity and calculate scale factors and solve problems with linear measures, areas and volumes. |

#### Year 11 Curriculum plans

Term | What are we learning? | What Knowledge, Understanding and Skills will we gain? | What will excellence look like? | How will these be assessed? |

Autumn |
Foundation:Ratio and proportion.Right-angled triangles.Probability.Multiplicative reasoning. | Students will use ratios and proportion numerically and graphically to solve problems. This will include writing & simplifying ratios, using ratios to solve problems, ratios & measures, divide a quantity in a given ratio, comparing unit ratios, using proportion to solve problems, direct proportion & graphs, direct & indirect proportion problems.Students will use Pythagoras’ Theorem and trigonometry. This will include calculating an unknown side length or a line segment, use trigonometry, sin, cos & tan to calculate a side or an angle.Students will learn how to apply the rules of probability. This will include calculating simple probabilities, two-way tables for recording two events and calculating experimental and expected probabilities.Students will use multiplicative reasoning, percentage changes and proportion to solve problems. This will include percentage calculations for profit & loss, original amounts, growth & decay for compound calculations, compound measures, distance, speed & time calculations, convert units of speed, calculate acceleration, direct and inverse proportion problems. | Students will use of these skills and apply them to answer questions on value for money and other problem-solving and modelling questions.Students will also know how to work out the exact value of sin, cos or tan of some angles without a calculator. They will apply this knowledge to solving more challenging geometrical problems.Students will also solve probability problems using Venn diagrams & set language, frequency trees & probability trees. They will understand how to calculate probabilities of independent events and solve problems with non-independent events.Students will also be able to apply their knowledge of compound measures, direct and inverse proportion to solve real-life problems of increasing complexity. | |

Autumn |
Higher:More trigonometry.Further statistics.Circle theorems.Equations and graphs. | Students will learn how bounds affect the accuracy of solutions. They will graph the trigonometric functions and calculate using further trig equations to solve problems. This will include using accuracy & bounds, graphs of trig functions, area of a triangle & segment, use of sine and cosine rule, bearings using trigonometry.Students will learn how to manipulate data, plot a range of different graphs and charts accurately, demonstrating understanding and interpreting what is shown. This will include learning about random & stratified sampling, cumulative frequency tables & diagrams, median, quartiles & IQR, stem & leaf diagrams, draw & interpret box plots. Students will learn and apply the circle theorems to solve problems. This will include solving problems with radii & chords, problems with tangents, using & applying all circle theorems to solve problems.Students will use further algebraic manipulation techniques including iteration, solving quadratics and cubic equations graphically. This will include representing inequalities graphically, plotting graphs of quadratic functions, solving quadratic equations graphically, plotting graphs of cubic functions & finding the roots. | Some pupils will also learn to apply 3D Pythagoras and 3D trigonometry, and to plot trigonometric graphs and transformations of these trigonometric graphs.Students will also calculate frequency density to draw histograms, compare & describe populations. They will apply all of these data handling techniques to answer complex questions about data and to form opinions about what the data is showing and how this can be interpreted in the real world.Students will also be combining several circle theorems and using mathematical language and reasoning to explain and give reasons for their solutions to geometrical problems.Students will be able to apply all of these further algebraic manipulation techniques including iteration to solve equations. They will also be able to solve quadratic inequalities algebraically and sketch a graph to show the solutions. | |

Spring |
Foundation:Constructions, loci and bearings.Quadratic equations and graphs.Perimeter area and volume 2.Fractions, indices and standard form.Congruence, similarity and vectors.More algebra. | Students will learn to draw and interpret plans and elevations, scale drawings and bearings and draw constructions. This will include representing 3D solids by drawing plans & elevations, accurate drawings, scale drawings & maps, constructions, loci & regions, bearings.Students will learn more algebraic manipulation techniques, solving equations algebraically and graphically. This will include expanding double brackets, plotting quadratic graphs, using quadratic graphs, factorising quadratics, solving quadratics graphically & algebraically.Students will learn additional techniques to calculate perimeter, area, volume and surface areas to solve problems. They will calculate circumference & radius of a circle, area of a circle, area & perimeter of semicircles & sectors, area of composite 2D shapes.Students will learn more methods of calculating with fractions and indices. They will multiply and divide with fractions and mixed numbers, use the laws of indices.Students will learn the conditions for congruence, similarity, calculate scale factors, enlargement and learn to calculate simple vectors sums.Students will learn how to plot a range of graphs accurately, demonstrating understanding and interpreting what is shown. This will include plotting graphs of cubic & reciprocal functions, non-linear graphs, rearranging formulae, algebraic proof. | Students will be able to combine the skills learned with constructions to solve complex problems with loci and bearings in context.Students will be able to apply these algebraic manipulation techniques to answers complex GCSE exam questions correctly.Students will also calculate the volume and surface area of cylinders, pyramids, cones & spheres, volume & SA of composite 3D solids. They will use these to solve problems in context.Students will also be able to write numbers in standard form and solve problems by calculating with standard form.Students will also apply their knowledge to recognise and draw congruence and similarity, draw enlargement with fractional scale factors, calculate a scale factor, Students will learn to add & subtract vectors and find multiples of vectors.Students will also write and solve simultaneous equations using graphical and algebraic methods and develop their algebraic manipulation and knowledge of proof to solve problems. | These units will be assessed using formative assessment whilst being delivered. Past GCSE exam questions will be used within lessons and with the weekly homeworks. The end of unit assessment will be marked by the teacher and recorded centrally for monitoring progress.Mock exams with Paper 1, Paper 2 and Paper 3 will provide an accurate GCSE grade and allow a predicted grade to be determined. |

Spring |
Higher:More algebra.Vectors and geometric proof.Proportional graphs. | Students will learn further algebraic manipulation techniques with algebraic fractions and surds to solve problems. This will include addition, subtraction, multiplying, division & simplifying of algebraic fractions. Students will also learn to simplify and expand surds and how and why we rationalise the denominator.Students will draw vectors and apply vector arithmetic and use proof to solve problems. This will include use of vector notation, and calculation using vector arithmetic.Students will learn how to solve problems using algebraic proportionality. They will learn how to plot graphs of functions and understand how to transform them. This will include writing equations to solve problems with direct proportion, square & cubic proportionality, inverse proportion problems and graphs. | Students will also be able to use of function notation, find composite & inverse functions and show algebraic proof. Students will also be able to use parallel vectors & collinear points, solving geometric problems & justifying with vector proof.Students will also be able to plot graphs of exponential functions, non-linear graphs and calculate the gradient of a tangent. They will translate graphs of functions, including reflecting & stretching graphs of functions. | These units will be assessed using formative assessment whilst being delivered. Past GCSE exam questions will be used within lessons and with the weekly homeworks. The end of unit assessment will be marked by the teacher and recorded centrally for monitoring progress.Mock exams with Paper 1, Paper 2 and Paper 3 will provide an accurate GCSE grade and allow a predicted grade to be determined. |