mathematics faculty - oldbury academy

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Mathematics Faculty Intent It is the intention of the Mathematics faculty to provide a sound knowledge base of key numeracy and problem solving skills to ensure that students are fully prepared to deal with a literal and numerical modern West Midlands society. The faculty follow the guidance provided by the National Curriculum to ensure that students are equipped with the identified skills needed for the future. Our lessons will ensure that literacy will be taught to the students so they understand key terms and their meanings, which will help to articulate their understanding in problem solving scenarios. Using the Pixl theme of LORIC, we will be able to show development in organisation by teaching students the importance of showing appropriate working out, and on them being able to select the correct mathematical equipment for a task. Their resilience and independence will be developing by the reassessing of knowledge learnt over time and the requirement of continual practice through the homework we set and use of learning apps provided by the faculty. Student communication will also be developed by them being encouraged to discuss the Mathematics they are studying with each other, using the correct terminology and vocabulary necessary for the skill they are learning.

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Mathematics Faculty

Intent

It is the intention of the Mathematics faculty to provide a sound knowledge base of key numeracy and

problem solving skills to ensure that students are fully prepared to deal with a literal and numerical modern

West Midlands society. The faculty follow the guidance provided by the National Curriculum to ensure that

students are equipped with the identified skills needed for the future.

Our lessons will ensure that literacy will be taught to the students so they understand key terms and their

meanings, which will help to articulate their understanding in problem solving scenarios. Using the Pixl

theme of LORIC, we will be able to show development in organisation by teaching students the importance

of showing appropriate working out, and on them being able to select the correct mathematical equipment

for a task. Their resilience and independence will be developing by the reassessing of knowledge learnt over

time and the requirement of continual practice through the homework we set and use of learning apps

provided by the faculty. Student communication will also be developed by them being encouraged to discuss

the Mathematics they are studying with each other, using the correct terminology and vocabulary necessary

for the skill they are learning.

Mathematics affects many things that students will access in their future lives – the Maths Faculty at Oldbury

Academy aim to provide the key skills needed to earn and provide for themselves in the future.

Years 7 to 9 Curriculum Overview

Year 7 Pi

Year 7 Theta

Year 7 Delta

Autumn Term

All students complete a transitional

scheme of work based on their strengths and weaknesses

provided from

Analysing and Displaying data

Calculating

Expressions, functions and formulae

Graphs

Analysing Data Number skills Expressions, functions and formulae Decimals and measure

Analysing and displaying data Number skills Equations, functions and formulae Fractions

Unit 1: Tables, bar charts and pictograms Calculating averages Unit 2: Four operations of number Multiplying and dividing by powers of 10 Positive and negative numbers Unit 3:

Unit 1: Calculate averages and range Display and interpret data including grouped data Use four operations both mentally and written methods including negative numbers and powers Unit 2: Understand the order of operations Factors multiples and primes

Unit 1: Interpreting and drawing two-way tables Finding mode, median, mean and range Comparing data sets using averages and range Draw and interpret grouped frequency diagrams Interpret and draw line graphs

their KS2 Maths Project at the end

of Year 6.

They then sit a formal

assessment which sets the students into the Pi (Low), Theta (Mid) and

Delta (High)

Function machines Simplifying expressions Writing expressions Unit 4: Real life graphs Coordinates Graphs of functions

Apply functions Unit 3: Simplify and form expressions and formulae Substitute into formulae Unit 4: Calculate area and perimeter Convert metric units Measure lengths Read scales Plot and interpret coordinates

Recognise when a graph is misleading Draw and interpret pie chart Draw and interpret scatter graphs Unit 2: Factors, primes and multiples Using negative numbers Multiplication and division Understanding and using square numbers and square roots Use of BIDMAS and the order of operations Estimating Unit 3: Simplifying algebraic expressions Writing algebraic expressions Writing formulae Expanding single brackets Factorising expressions Unit 4: Adding, subtracting, multiplying and dividing fractions Working with mixed numbers Converting between fraction, decimal and percentage

Assessments

Pupils will be assessed within the first few weeks of entry into Year 7. This assessment data, along with information given from Key Stage 2 will be then used to ensure accurate setting. Throughout the year, pupils will be assessed at the end of each unit completed - approximately every 2 - 3 weeks. Total marks awarded for these tests range from the mid twenties to the mid thirties. These tests are also done in conjunction with an end of term assessment that examines all content covered over the term, where the total marks available can be up to 65. All assessments and mark schemes are written by Edexel, the Examination Board that is currently used by the school for final GCSE examinations. The intent is to get pupills familair with the style of questions and the demands of formal assessment as soon as possible. Working at grades are generated as an average of these assessment scores throughout the academic year.

Spring

Factors and multiples

Decimals and measure

Angles and lines

Fractions Probability Ratio and proportion

Angles and shapes Decimals Equations

Unit 5:

Number rules and relationships

Factors and multiples

Prime numbers

Common factors and multiples

Unit 6:

Decimal numbers

Measures and estimates

Rounding

Calculating with decimals

Unit 7:

Measuring and drawing angles

Line properties

Unit 5: Compare and simplify fractions Add and subtract fractions with the same denominator Find fractions and percentages of amounts Convert between fractions, decimals and percentages Unit 6: Understand and use the language of probability Calculate probabilities Experimental probabilities Expected outcomes

Unit 5: Recalling and using angle facts Finding unknown angles in parallel lines Understanding and using properties of Triangles to solve problems Understanding and using properties of Quadrilaterals to solve problems Work out interior and exterior angles of Polygons Unit 6: Ordering decimals Rounding decimals

Calculating angles

Unit 7: Direct proportion Writing and using ratios, including scale and measure Proportions involving fractions and percentages

Adding, subtracting, multiplying and dividing decimals Converting between fraction, decimal and percentage Working with percentage to solve problems Unit 7: Writing and solving one step equations Writing and solving two step equations Solving equations with unknowns on both sides Solving equations including brackets

Assessments Pupils will be assessed at the end of each unit completed - approximately every 2 - 3 weeks. Total marks awarded for these tests range from the mid twenties to the mid thirties. These tests are also done in conjunction with an end of term assessment that examines all content covered over the term, where the total marks available can be up to 65. All assessments and mark schemes are written by Edexel, the Examination Board that is currently used by the school for final GCSE examinations. The intent is to get pupils familiar with the style of questions and the demands of formal assessment as soon as possible. Working at grades are generated as an average of these assessment scores throughout the academic year.

Summer

Measuring and shapes

Fractions, decimals and percentages

Transformations

Lines and angles Sequences and Graphs Transformations

Multiplicative reasoning Perimeter, area and volume Sequences

Unit 8:

Line and rotational symmetry

Polygons

Area and perimeter

Unit 9:

Comparing fractions

Equivalent fractions

Adding and subtracting fractions

Percentages

Unit 10:

Reflection

Rotation

Translation

Congruency

Unit 8: Triangle properties Measuring and drawing angles Accurately constructing triangles Calculating angles Unit 9: Completing sequences & understanding patterns & rules Straight line graphs Finding the nth term Unit 10: Congruency and enlargements Symmetry Reflection Rotation Translation

Unit 8: Converting between metric units Converting between metric and imperial units Writing and simplifying ratio Sharing in a given ratio Understanding the relationship between ratio and proportion Solve direct and inverse proportion problems Unit 9: Calculate the area of triangles, parallelograms and trapeziums Area and perimeter of compound shapes Identifying Properties of 3D shapes Calculate the surface area of cubes and cuboids Converting between metric units for area and volume Unit 10: Work out the terms of arithmetic sequence Finding the nth term of arithmetic sequences

Using positive and negative coordinates Finding the midpoint of a line Drawing straight line graphs Recognising straight line graphs parallel to the axes

Assessments Pupils will be assessed at the end of each unit completed - approximately every 2 - 3 weeks. Total marks awarded for these tests range from the mid-twenties to the mid-thirties. These tests are also done in conjunction with an end of term assessment that examines all content covered over the term, where the total marks available can be up to 65. All assessments and mark schemes are written by Edexel, the Examination Board that is currently used by the school for final GCSE examinations. The intent is to get pupils familiar with the style of questions and the demands of formal assessment as soon as possible. Working at grades are generated as an average of these assessment scores throughout the academic year.

Year 8 Pi

Year 8 Theta

Year 8 Delta

Autumn Term

Students continue their

studies based on a formal End of

Year assessment.

Some students may move between

schemes of work based on their

prior attainment within Year 7

Unit 1: Number properties and calculations Unit 2: Shapes and measures in 3D

Unit 3: Statistics

Unit 4: Expressions and equations

Unit 1: Number Unit 2: Area and Volume Unit 3: Statistics, Graphs and Charts Unit 4: Expressions and Equations

Unit 1: Factors and Powers Unit 2: Working with Powers Unit 3: 2D Shapes and 3D Solids Unit 4: Real Life Graphs

Unit 1: Add and subtract integers with varying numbers of significant figures Understand how to use brackets in simple calculations Extend written methods to TU x TU and HTU x TU Add and subtract negative integers from positive and negative integers Multiply by zero Multiply and divide negative integers by a positive number Use ratio notation Reduce a ratio to its simplest form Reduce a three-part ratio to its simplest form by cancelling Find equivalent ratios

Unit 1: including lesson 2.1 from Theta 3 Divide £.p by a two digit number to give £.p Add and subtract integers – positive and negative numbers (with varying numbers of significant figures) Find the HCF or LCM of 2 numbers less than 100 Estimate square roots

Multiply and divide integers - positive & negative numbers Calculate squares, cubes and cube roots Add, subtract, multiply and divide integers. Find the prime factor decomposition of a number Use the function keys for powers and fractions

Unit 1: Find the prime factor decomposition of a number Know the prime factorisation of numbers up to 30, giving answers as powers Use prime factor decomposition to find the HCF or LCM of 2 numbers Establish index laws for positive powers where the answer is a positive power Apply the index laws for multiplication and division of positive integer powers Show that any number to the power of zero is 1 Understand that each of the headings in the place value system, to the right of the tens column, can be written as a power of ten

Some units also include further

knowledge development from areas of our Year 9 KS3

Scheme of Work to prepare students to

enter the GCSE course.

Solve simple problems using ratio expressed in words and in ratio notation Recognise the links between ratio and fractional notation Use direct proportion in simple contexts Use the unitary method to solve simple word problems involving ratio

Unit 2:

Know and use names of 3D shapes Identify 2D representations of 3D shapes Identify and count faces, edges, vertices Identify a prism and know it has a constant cross section Know and use geometric properties of cuboids and shapes made from cuboids Deduce properties of 3D shapes from 2D representations, including nets, 3D sketches and isometric drawings Identify nets of closed cubes and cuboids Identify nets of 3D shapes – regular and irregular Polyhedra

Unit 2: Calculate surface areas of cubes and cuboids Calculate areas of triangles, parallelograms, trapezia Calculate areas of compound shapes Calculate the volume of shapes made from cuboids Solve volume problems Convert between metric and imperial measures Calculate the surface area of shapes made from cuboids

Unit 3: Calculate the mean from a simple frequency table Interpret and construct pie charts Use complex two-way tables Interpret scatter graphs, draw lines of best fit and use correlation Find the modal class of a set of continuous data Use stem and leaf diagrams to find averages Identify misleading graphs and statistics

Unit 4 including lesson 2.2 from Theta 3

Know the prefixes associated with 109, 106, 103 (giga, mega and kilo) Understand the effect of multiplying or dividing by any integer power of 10 Understand the order in which to calculate expressions that contain powers and brackets in both the numerator and denominator of a fraction Round numbers to a given number of significant figures Use numbers of any size rounded to 1 significant figure to make standardized estimates for calculations with 1 step.

Unit 2: Simplify simple expressions involving powers, but not brackets, by collecting like terms Simplify simple expressions involving index notation, i.e. x² + 2x², p × p², r5 ÷ r² Know and understand the meaning of an identity and use the identity sign Simplify expressions involving brackets and powers e.g. x(x2 + x + 4), 3(a + 2b) – 2(a + b) Establish index laws for positive powers of variables where the answer is a positive power

Use a ruler and compass to construct simple nets of 3D shapes Calculate the surface area of cubes Use nets to calculate the surface area of simple cuboids Find the volume of a cube and cuboid by counting cubes Know the formulae for the volume of cube and a cuboid Solve simple problems involving units of measurement in the context of length, area and capacity Convert cm3 to litres

Unit 3: including lesson 3.1 from Pi 3 Select and identify the data related to a problem Select the range of possible methods that could be used to collect this data as primary or secondary data Discuss the range of possible methods that could be used to investigate a problem, e.g. questionnaire, survey, modelling, data logging, etc. Select appropriate level of accuracy of data from limited choices

Solve simple linear equations with integer coefficients Construct and solve linear equations Substitute integers into formulae Simplify simple expressions involving powers Multiply a single term over a bracket Use distributive law to take out common factors Derive complex algebraic expressions and formulae

Apply the index laws for multiplication and division of small integer powers, e.g. a³ × a², x³÷ x² Know and use the general forms of the index laws for multiplication and division of positive integer powers. (e.g. pa × pb, pa ÷ pb, (pa)b) Multiply a single term over a bracket e.g. x(x + 4), 3x(2x – 3) Use the distributive law to take out single term algebraic factors, e.g. x³ + x² + x = x(x² + x + 1) Substitute positive and negative integers into linear expressions and expressions involving powers Construct and solve equations that involve multiplying out brackets by a negative number and collecting like terms (e.g. 4(2a – 1) = 32 – 3(2a – 2))

Unit 3: Begin to use plans and elevations Visualise and use a wide range of 2D representations of 3D objects Analyse 3D shapes informally and through cross-sections, plans and elevations Calculate the volume and surface area of right prisms Calculate the lengths, areas and volumes in cylinders

From a range of sample sizes identify the most sensible answer Discuss factors that may possibly affect the collection of data, e.g. time, place, type of people asked, phrasing of questions Group data, where appropriate in equal class intervals Use experimentation to complete a data collection sheet, e.g. throwing a dice or data-logging Use questionnaire responses to complete a data collection sheet Interpret data from compound and comparative bar charts Construct a frequency table for grouped discrete data and draw a graph Construct compound bar graphs Interpret simple pie charts

Unit 4: Use arithmetic operations with algebra Simplify more complex linear algebraic expressions by collecting like terms, e.g. x + 7 + 3x, 2b – 3a + 6b

Convert between larger volume measures to smaller ones (e.g. m³ to cm³) Calculate the lengths and areas given the volumes in right prisms Use the formula for the circumference of a circle Know the names of parts of a circle Use the formulae to find area of a circle, given the radius or diameter Use the formulae for the area of a circle, given area, to calculate the radius or diameter Be able to correctly identify the hypotenuse Know the formula for Pythagoras' theorem and how to substitute in values from a diagram Use and apply Pythagoras' theorem to solve problems Given the coordinates of points A and B, calculate the length of AB

Unit 4: Extend a proportion or relationship beyond known values (given proportion graphically or in words) Recognise graphs that show direct proportion Solve problems involving direct proportion with a graph Discuss and interpret real-life graphs

Find outputs and inputs of simple functions expressed in words or symbols using inverse operations Construct functions (completing a number machine) Understand the difference between an expression and an equation and the meaning of the key vocabulary 'term' Understand and identify the unknowns in an equation Solve simple linear equations with integer coefficients, of the form ax = b or x +/– b = c, e.g. 2x = 18, x + 7 = 12 or x – 3 = 15 Substitute solution back into equation to check it is correct Use distributive law with brackets, with numbers Know that expressions can be written in more than one way, e.g. 2 x 3 + 2 x 7 = 2(3 + 7) Begin to multiply a positive integer over a bracket containing linear terms, e.g. 4(x + 3)

Interpret information from a complex real-life graph, read values and discuss trends Plot the graphs of a function derived from a real-life problem Discuss and interpret linear and non-linear graphs from a range of sources Recognise graphs showing constant rates of change, average rates of change and variable rates of change Plot a simple straight-line graph (distance-time) Draw and use graphs to solve distance-time problems Identify misleading graphs and statistics – choosing the appropriate reasons from a small choice of options Identify misleading graphs and statistics – choosing the appropriate reasons from a wide choice of options, or writing their own reasons

Assessments Pupils will be assessed at the end of each unit completed - approximately every 2 - 3 weeks. Total marks awarded for these tests range from the mid-twenties to the mid-thirties. These tests are also done in conjunction with an end of term assessment that examines all content covered over the term, where the total marks available can be up to 65. All assessments and mark schemes are written by Edexcel, the Examination Board that is currently used

by the school for final GCSE examinations. The intent is to get pupils familiar with the style of questions and the demands of formal assessment as soon as possible. Working at grades are generated as an average of these assessment scores throughout the academic year.

Spring Term

Unit 5: Decimal Calculations Unit 6: Angles Unit 7: Number Properties

Unit 5: Real-Life Graphs Unit 6: Decimals and Ratio Unit 7: Lines and Angles

Unit 5: Transformations Unit 6: Fractions, Decimals and Percentages Unit 7: Constructions and Loci

Unit 5: Be able to add decimals with up to two decimal places, but with varying numbers of decimal places Be able to add more than two decimals with up to two decimal places, but with varying numbers of decimal places Be able to subtract integers and decimals with up to two decimal places, but with varying numbers of decimal places Be able to add and subtract more than two decimals with up to two decimal places, but with varying numbers of decimal places and using a mixture of operations within the calculation. Extend the possible decimals that can be used in mental calculations by using halving and doubling strategies.

Unit 5: Draw and interpret line graphs Interpret information from a complex real-life graph, read values and discuss trends Draw, use and interpret conversion graphs Draw and use graphs to solve distance–time problems Plot the graphs of a function derived from a real-life problem Discuss and interpret linear and non-linear graphs from a range of sources Use graphs to solve distance–time problems Discuss and interpret real-life graphs

Unit 6: Multiply and divide integers and decimals with up to two decimal places

Unit 5: Describe a reflection, giving the equation of the line of reflection Show reflection on a coordinate grid in y = x, y = –x Describe and carry out translations using column vectors Describe a rotation on a coordinate grid Know that translations, rotations and reflections preserve length and angle Know that translations, rotations and reflections map objects on to congruent images Enlarge 2D shapes, given a centre of enlargement and a positive whole number scale factor Describe 2D enlargements Enlarge 2D shapes, given a centre of enlargement outside the shape and a negative whole-number scale factor Enlarge 2D shapes, given a fractional scale factor

Use mental strategies for multiplication – partitioning two 2-digit numbers where one number includes a decimal (both numbers have two significant figures) Multiply decimals with two places by single-digit whole numbers Multiply integers and decimals including by decimals such as 0.6 and 0.06, 0.t x 0.t or 0.t x 0.0h, 0.0h x 0.t and 0.0h x 0.0h Mentally be able to calculate the squares of numbers less than 16 multiplied by a multiple of ten, e.g. 0.2, 300, 0.400 Solve problems involving decimal numbers Choose the correct operation to use when solving decimal problems Round and order decimals Divide a quantity into two parts in a given ratio (whole numbers), where the answer is a decimal

Unit 6: Use a protractor to measure reflex angles to the nearest degree

Divide a quantity in more than two parts in a given ratio, including decimal values Order positive and negative numbers, including decimals, as a list Multiply or divide any number by 0.1 and 0.01 Simplify a ratio expressed in decimals Round numbers to an appropriate degree of accuracy Use standard column procedures to add and subtract integers and decimals of any size Multiply and divide by decimals Use > or < correctly between two negative decimals

Unit 7: Classify quadrilaterals by their geometric properties Understand a proof that the sum of the angles of a triangle is 180° and of a quadrilateral is 360° Solve geometric problems using side and angle properties of triangles and special quadrilaterals Identify alternate angles and corresponding angles Interior and exterior angles of regular/irregular polygons Solve problems by setting up equations and solving

Recognise that enlargements preserve angle but not length Enlarge 2D shapes and recognise the similarity of resulting shapes Transform 2D shapes by simple combinations of rotations, reflections and translations, using ICT Transform 2D shapes by more complex combinations of rotations, reflections and translations Identify reflection symmetry in 3D shapes Understand the implications of enlargement for perimeter Identify the scale factor of an enlargement as the ratio of the lengths of any two corresponding line segments Calculate areas and volumes of shapes after enlargement

Unit 6: Know fractional equivalents to key recurring decimals e.g. 0.333333..., 0.66666666..., 0.11111… Know the denominators of simple fractions that produce recurring decimals, and those that do not Convert a recurring decimal to a fraction Use an inverse operation Use the unitary method for an inverse operation

Use correct notation for labelling triangles Use a protractor to draw reflex angles to the nearest degree Calculate angles around a point Use a protractor to draw obtuse angles to the nearest degree Use a protractor to draw reflex angles to nearest degree Identify interior and exterior angles in a shape Know the sum of angles in a triangle Calculate angles in a triangle Recognise and use vertically opposite angles Use a ruler and protractor to construct a triangle given two sides and the included angle (SAS) Use a ruler and protractor to construct a triangle given two angles and the included side (ASA) Use ruler and protractor to construct simple nets of 3D shapes, using squares, rectangles and triangles, e.g. square-based pyramid, triangular prism Investigate triangles using Pythagoras' theorem

Unit 7:

Solve geometrical problems showing reasoning

Calculate percentage change, using the formula 'actual change/original amount × 100' – where formula is given Calculate percentage change, using the formula 'actual change/original amount × 100' – where formula is recalled Calculate compound interest and repeated percentage change

Unit 7: Construct a triangle given two sides and included angle (SAS) Construct a triangle given two angles and the included side (ASA) Use straight edge and compass to construct a triangle, given three sides (SSS) Use ruler and protractor to draw accurate nets of 3-D shapes, using squares, rectangles and triangles e.g. regular tetrahedron, square-based pyramid, triangular prism Use straight edge and compass to construct the mid-point and perpendicular bisector of a line segment Use straight edge and compass to construct the bisector of an angle Use straight edge and compass to construct the perpendicular from a point on a line segment

Know square numbers beyond 10 x 10 Find corresponding roots Use the square root and change sign keys on a calculator Extend mental calculations to squares and square roots Use a calculator for cubes and cube roots Use the order of operations with brackets including in more complex calculations Use index notation for squares and cubes and for positive integer powers of 10 Use index notation for small integer powers, e.g. 3 × 2 × 2 × 2 = 3 ×23 Find LCM and HCF from lists of factors or multiples Find the prime factor decomposition of a number less than 100 Find the HCF or LCM of 2 numbers less than 100 (using prime factor decomposition) Know all the squares of numbers less than 16 and know the square root given the square number. Check by an inverse operation (questions other than four rules, e.g. square roots checked with squaring)

Use straight edge and compass to construct a triangle, given right angle, hypotenuse and side (RHS) Use straight edge and compass to construct the perpendicular from a point to a line segment recognise and use the perpendicular distance from a point to a line as the shortest distance to the line Draw the locus equidistant between 2 points or from a point Draw the locus equidistant between 2 lines know that all the points equidistant from a single point in space form the surface of a sphere Draw the locus equidistant from a line and around a rectangle Produce shapes and paths by using descriptions of loci Use construction to find the locus of a point that moves according to a rule

Work with calculations where the brackets are squared or square rooted Estimate square roots of non-square numbers less than 100, e.g. give integers that the roots lie between

Assessments Pupils will be assessed at the end of each unit completed - approximately every 2 - 3 weeks. Total marks awarded for these tests range from the mid-twenties to the mid-thirties. These tests are also done in conjunction with an end of term assessment that examines all content covered over the term, where the total marks available can be up to 65. All assessments and mark schemes are written by Edexcel, the Examination Board that is currently used by the school for final GCSE examinations. The intent is to get pupils familiar with the style of questions and the demands of formal assessment as soon as possible. Working at grades are generated as an average of these assessment scores throughout the academic year.

Summer Term

Unit 8: Sequences Unit 9: Fractions and Percentages Unit 10: Probability

Unit 8: Calculations with Fractions Unit 9: Straight Line Graphs Unit 10: Percentages, Decimals and Fractions Unit 3 Dealing with data from Theta 3 lessons 3.1 and 3.2

Unit 8: Probability Unit 9: Scale Drawings and Measures Unit 10: Graphs

Unit 8: Generate terms of sequences arising from practical contexts Generate terms of simple sequences using term-to-term rules like +3 or –2

Unit 8: Add and subtract fractions with any size denominator Multiply integers and fractions by a fraction Use fractions and decimals within calculations including brackets Find the reciprocal of a number

Unit 8: Understand and use the probability scale from 0 to 1 Identify all possible mutually exclusive outcomes of a single event

Use the words finite, infinite, ascending and descending to describe sequences Understand the infinite nature of a set of integers Generate terms of a more complex sequence using term-to-term rules like x 2 then +1 or ‘–1 then x2’ Generate terms of linear sequences using term-to-term with positive or negative integers Know that an arithmetic sequence is generated by a starting number a, then adding a constant number, d Generate and describe simple integer sequences, square and triangular numbers Recognise triangular numbers Generate and describe integer sequences such as powers of 2 and growing rectangles Recognise geometric sequences and appreciate other sequences that arise Find a term given its position in the sequences like tenth number in 4x table is 40 (one operation on n) Find a term of a practical sequence given its position in the sequence

Divide integers and fractions by a fraction Calculate with mixed numbers

Unit 9: Find gradients of lines Plot the graphs of linear functions Find midpoints of line segments Write the equations of straight-line graphs in the form y = mx + c Identify and describe examples of direct proportion Solve problems involving direct proportion

Unit 10: Order fractions by converting them to decimals or equivalent fractions. Find equivalent fractions, decimals and percentages. Express one number as a percentage of another Work out a percentage increase or decrease Solve percentage problems

Unit 3 Theta 3 lessons 3.1 and 3.2 Select the range of possible methods that could be used to collect primary data Determine suitable sample size and degree of accuracy needed

Find and justify probabilities based on equally likely outcomes in simple contexts Calculate the probability of a combination of events or single missing events of a set of mutually exclusive events using 'sum of outcomes = 1' Calculate the probability of the final event of a set of mutually exclusive events Know that if probability of event is p, probability of not occurring is 1 – p Understand relative frequency as an estimate of probability and know when to add or multiply probabilities Know how to calculate relative frequency Use relative frequency to make estimates Apply estimated probabilities to future data Estimate probabilities based on these data (collected from a simple experiment) Plot and use relative frequency diagrams, and recognise that with repeated trials experimental probability tends to a limit Use experimentation to complete a data collection sheet, e.g. throwing a die or data-logging Identify all mutually exclusive outcomes for two successive events

Generate terms of linear sequences using position-to-term with positive integers Begin to use linear expressions to describe the nth term in a one-step arithmetic sequence

Unit 9: Use a diagram to compare two or more simple fractions with different denominators, and not unit fractions Calculate fractions of quantities and measurements Identify equivalent fractions. Begin to add and subtract simple fractions and those with simple common denominators Extend the possible fractions that can be used in mental calculations by using halving and doubling strategies. Add fractions by writing with a common denominator, where the denominators are 12 or less, where the answer is less than 1 Understand that when two positive fractions are added the answer is larger than either of the original two fractions Simplify fractions by cancelling all common factors

Design and use a data collection sheet for continuous grouped data Discuss factors that may affect the collection of data Design tables recording discrete and continuous data From a small choice of options identify ways to reduce bias in a sample

with two or three outcomes in each event Use the vocabulary of probability to assign probability to events. Identify conditions for a fair game Draw and use tree diagrams to represent outcomes of two independent events and calculate probabilities Calculate the probability of independent and dependent events

Unit 9: Use scales in maps and plans Use and interpret maps, using proper map scales (1:25 000) Draw diagrams to scale Use and interpret scale drawings, where scales use mixed units, and drawings aren't done on squared paper, but have measurements marked on them. Solve simple geometrical problems showing reasoning Distinguish between conventions, definitions and derived properties Solve geometric problems using side and angle properties of equilateral, isosceles and right-angled triangles and special quadrilaterals Solve problems using properties of angles, of parallel and intersecting

Express one number as a fraction of another (halves, quarters, thirds) Multiply a fraction by an integer Subtract fractions by writing with a common denominator, where the denominators are less than 12 and the first fraction is larger than the second Extend mental methods of calculation to include percentages Calculate simple percentages Use percentages to compare simple proportions Express one given number as a percentage of another

Unit 10: Use the vocabulary of probability Use a probability scale with words Understand and use the probability scale from 0 to 1 Identify all possible mutually exclusive outcomes of a single event Find and justify probabilities based on equally likely outcomes in simple contexts

lines, and of triangles and other polygons Make simple drawings, demonstrating accurate measurement of length and angle Use bearings to specify direction Solve angle problems involving bearings Begin to use congruency to solve simple problems in triangles and quadrilaterals Know and use the criteria for congruence of triangles Identify 2D shapes that are congruent or similar by reference to sides and angles Use the information given about the length of sides and size of angles to determine whether triangles are congruent, or similar Know that triangles given SSS, SAS, ASA or RHS are unique, but that triangles given SSA or AAA are not. Find points that divide a line in a given ratio, using the properties of similar triangles Use similarity to solve problems in 2-D shapes

Unit 10: Plot the graphs of linear functions in the form y = mx + c and recognise and compare their features

Know that if probability of event is p then probability of event not occurring is 1 – p Identify all mutually exclusive outcomes for two successive events with two outcomes in each event Estimate probabilities based on given experimental data When interpreting results of an experiment, use vocabulary of probability Use experimentation to complete a data collection sheet e.g. throwing a dice or data-logging Use the language of probability to compare the choice of x/a with y/a

Recognise that linear functions can be rearranged to give y explicitly in terms if x e.g. rearrange y + 3x – 2 = 0 in the form y = 2 – 3x Recognise that straight line graphs can be written in the form y = mx + c Be able to work out when a point is on a line Begin to consider the features of graphs of simple linear functions, where y is given explicitly in terms of x Without drawing the graphs, compare and contrast features of graphs such as y = 4x, y = 4x + 6, y = x + 6, y = –4x, y= x – 6 Know and use y = mx + c for any straight line Know for a straight line y = mx + c, m is the gradient and m = (change in y)/(change in x) Recognise that any line parallel to a given line will have the same gradient. Know that a line perpendicular to the line y = mx + c, will have a gradient of –1/m Recognise when lines are parallel or perpendicular from their equations Recognise when lines are parallel and where a line crosses the y-axis from the equation of the line Find the inverse of a linear function such as x → 2x + 5, x →2(x – 3), x → (x + 2)/4, x → 5x – 4

Recognise the graph of the inverse of simple linear functions Recognise that when the linear and inverse of a linear function such as y = 2x, y = 3x are plotted, they are a reflection in the line y = x Recognise geometric sequences and appreciate other sequences that arise Find approximate solutions to contextual problems from given graphs of a variety of functions, including piece-wise linear, exponential and reciprocal graphs Solve problems involving direct and inverse proportion, including graphical and algebraic representations

Assessments Pupils will be assessed at the end of each unit completed - approximately every 2 - 3 weeks. Total marks awarded for these tests range from the mid-twenties to the mid-thirties. These tests are also done in conjunction with an end of term assessment that examines all content covered over the term, where the total marks available can be up to 65. All assessments and mark schemes are written by Edexcel, the Examination Board that is currently used by the school for final GCSE examinations. The intent is to get pupils familiar with the style of questions and the demands of formal assessment as soon as possible. Working at grades are generated as an average of these assessment scores throughout the academic year.

Year 9 Foundation - (Grades 1 to 5)

Year 1 of 3

Year 9 Higher – (Grades 4 to 9)

Year 1 of 3

Autumn

Overview Unit 1: Number Unit 2: Algebra

Overview Unit 1 Number Unit 2 Algebra

Skills Unit 1: ● Use priority of operations with positive and negative numbers. ● Simplify calculations by cancelling. ● Use inverse operations. ● Round to a given number of decimal places. ● Multiply and divide decimal numbers. ● Write decimal numbers of millions. ● Round to a given number of significant figures. ● Estimate answers to calculations. ● Use one calculation to find the answer to another. ● Recognise 2-digit prime numbers. ● Find factors and multiples of numbers. ● Find the HCF and LCM of two numbers by listing. ● Find square roots and cube roots. ● Recognise powers of 2, 3, 4 and 5. ● Understand surd notation on a calculator. ● Use index notation for powers of 10 and in calculations. ● Use the laws of indices.

Skills Unit 1: ● Work out the total number of ways of performing a series of tasks. ● Estimate an answer. ● Use place value to answer questions. ● Write a number as the product of its prime factors. ● Find the HCF and LCM of two numbers. ● Use powers and roots in calculations. ● Multiply and divide using index laws. ● Work out a power raised to a power. ● Use negative indices. ● Use fractional indices. ● Write a number in standard form. ● Calculate with numbers in standard form. ● Understand the difference between rational and irrational numbers. ● Simplify a surd. ● Rationalise a denominator. Unit 2:

● Write a number as the product of its prime factors. ● Use prime factor decomposition and Venn diagrams to find the HCF and LCM. Unit 2: ● Use correct algebraic notation. ● Write and simplify expressions. ● Use the index laws. ● Multiply and divide expressions. ● Substitute numbers into expressions. ● Recognise the difference between a formula and an expression. ● Substitute numbers into a simple formula. ● Expand brackets. ● Simplify expressions with brackets. ● Substitute numbers into expressions with brackets and powers. ● Recognise factors of algebraic terms. ● Factorise algebraic expressions. ● Use the identity symbol ≡ and the not equals symbol ≠ ● Write expressions and simple formulae to solve problems.

● Use the rules of indices to simplify algebraic expressions. ● Expand brackets. ● Factorise algebraic expressions. ● Solve equations involving brackets and numerical fractions. ● Use equations to solve problems. ● Substitute numbers into formulae. ● Rearrange formulae. ● Distinguish between expressions, equations, formulae and identities. ● Find a general formula for the nth term of an arithmetic sequence. ● Determine whether a number is a term of a given arithmetic sequence. ● Solve problems using geometric sequences. ● Work out terms in Fibonnaci-like sequences. ● Find the nth term of a quadratic sequence. ● Expand the product of two brackets. ● Use the difference of two squares. ● Factorise quadratics of the form x2 + bx + c.

Assessments Pupils will be assessed at the end of each unit completed - approximately every 2 - 3 weeks. Total marks awarded for these tests range from the mid-twenties to the mid-thirties. These tests are also done in conjunction with an end of term assessment that examines all content covered over the term, where the total marks available can be up to 65. All assessments and mark schemes are written by Edexcel, the Examination Board that is currently used by the school for final GCSE examinations. The intent is to get pupils familiar with the style of questions and the demands of formal

assessment as soon as possible. Working at grades are generated as an average of these assessment scores throughout the academic year.

Spring

Overview Unit 3 Graphs, tables and charts Unit 4 Fractions and percentages Unit 5 Equations, inequalities and sequences

Overview Unit 3 Interpreting and representing data Unit 4 Fractions, ratio and proportion Unit 5: Angles and Trigonometry

Skills Unit 3: ● Designing tables and data collection sheets. ● Reading data from tables. ● Use data from tables. ● Design and use two-way tables. ● Draw and interpret comparative and composite bar charts. ● Interpret and compare data shown in bar charts, line graphs and histograms. ● Plot and interpret time series graphs. ● Use trends to predict what might happen in the future. ● Construct and interpret stem and leaf and back-to-back stem and leaf diagrams. ● Draw and interpret pie charts. ● Plot and interpret scatter graphs. ● Determine if there is a relationship between sets of data. ● Draw a line of best fit on a scatter graph. ● Use the line of best fit to predict values. Unit 4: ● Compare fractions.

Skills Unit 3: ● Construct and use back-to-back stem and leaf diagrams. ● Construct and use frequency polygons and pie charts. ● Plot and interpret time series graphs. ● Use trends to predict what might happen in the future. ● Plot and interpret scatter graphs. ● Determine if there is a linear relationship between two variables. ● Draw a line of best fit on a scatter graph. ● Use the line of best fit to predict values. ● Decide which average is best for a set of data. ● Estimate the mean and range from a grouped frequency table. ● Find the modal class and the group containing the median. ● Construct and use two-way tables. ● Choose appropriate diagrams to display data. ● Recognise misleading graphs. Unit 4: ● Add, subtract, multiply and divide fractions and mixed numbers.

● Add and subtract fractions. ● Use fractions to solve problems. ● Find a fraction of a quantity or measurement. ● Use fractions to solve problems. ● Multiply whole numbers, fractions and mixed numbers. ● Simplify calculations by cancelling. ● Divide a whole number by a fraction. ● Divide a fraction by a whole number or a fraction. ● Convert fractions to decimals and vice versa. ● Use decimals to find quantities. ● Write one number as a fraction of another. ● Convert percentages to fractions and vice versa. ● Write one number as a percentage of another. ● Convert percentages to decimals and vice versa. ● Find a percentage of a quantity. ● Use percentages to solve problems. ● Calculate simple interest. ● Calculate percentage increases and decreases. ● Use percentages in real-life situations. ● Calculate VAT (value added tax). Unit 5: ● Understand and use inverse equations. ● Rearrange simple linear equations. ● Solve simple linear equations. ● Solve two-step equations. ● Solve linear equations with brackets. ● Solve equations with unknowns on both sides.

● Find the reciprocal of an integer, decimal or fraction. ● Write ratios in the form 1 :n or n : 1. ● Compare ratios. ● Find quantities using ratios. ● Solve problems involving ratios. ● Convert between currencies and measures. ● Recognise and use direct proportion. ● Solve problems involving ratios and proportion. ● Work out percentage increases and decreases. ● Solve real-life problems involving percentages. ● Calculate using fractions, decimals and percentages. ● Convert a recurring decimal to a fraction. Unit 5: ● Derive and use the sum of angles in a triangle and in a quadrilateral. ● Derive and use the fact that the exterior angle of a triangle is equal to the sum of the two opposite interior angles. ● Calculate the sum of the interior angles of a polygon. ● Use the interior angles of polygons to solve problems. ● Know the sum of the exterior angles of a polygon. ● Use the angles of polygons to solve problems. ● Calculate the length of the hypotenuse in a right-angled triangle. ● Solve problems using Pythagoras’ theorem. ● Calculate the length of a shorter side in a right-angled triangle. ● Solve problems using Pythagoras’ theorem.

● Use correct notation to show inclusive and exclusive inequalities. ● Solve simple linear inequalities. ● Write down whole numbers which satisfy an inequality. ● Represent inequalities on a number line. ● Solve two-sided inequalities. ● Substitute values into formulae and solve equations. ● Change the subject of a formula. ● Know the difference between an expression, an equation, a formula and an identity. ● Recognise and extend sequences. ● Use the nth term to generate terms of a sequence. ● Find the nth term of an arithmetic sequence.

● Use trigonometric ratios to find lengths in a right-angled triangle. ● Use trigonometric ratios to solve problems. ● Use trigonometric ratios to calculate an angle in a right-angled triangle. ● Find angles of elevation and angles of depression. ● Use trigonometric ratios to solve problems. ● Know the exact values of the sine, cosine and tangent of some angles.

Assessments Pupils will be assessed at the end of each unit completed - approximately every 2 - 3 weeks. Total marks awarded for these tests range from the mid-twenties to the mid-thirties. These tests are also done in conjunction with an end of term assessment that examines all content covered over the term, where the total marks available can be up to 65. All assessments and mark schemes are written by Edexcel, the Examination Board that is currently used by the school for final GCSE examinations. The intent is to get pupils familiar with the style of questions and the demands of formal assessment as soon as possible. Working at grades are generated as an average of these assessment scores throughout the academic year.

Summer

Overview Unit 6 Angles Unit 7 Averages and Range Unit 8 Perimeter, Area and Volume

Overview Unit 6 Graphs Unit 7 Trigonometry Unit 8 Transformations and Constructions

Skills Unit 6: ● Solve geometric problems using side and angle properties of quadrilaterals. ● Identify congruent shapes. ● Understand and use the angle properties of parallel lines. ● Find missing angles using corresponding and alternate angles. ● Solve angle problems in triangles. ● Understand angle proofs about triangles. ● Calculate the interior and exterior angles of regular polygons. ● Calculate the interior and exterior angles of polygons. ● Explain why some polygons fit together and some others do not ● Solve angle problems using equations. ● Solve geometrical problems showing reasoning. Unit 7: ● Calculate the mean from a list and from a frequency table. ● Compare sets of data using the mean and range. ● Find the mode, median and range from a stem and leaf diagram. ● Identify outliers. ● Estimate the range from a grouped frequency table. ● Recognise the advantages and disadvantages of each type of average. ● Find the modal class.

Skills Unit 6: ● Find the gradient and y-intercept from a linear equation. ● Rearrange an equation into the form y = mx + c. ● Compare two graphs from their equations. ● Plot graphs with equations ax + by = c. ● Sketch graphs using the gradient and intercepts. ● Find the equation of a line, given its gradient and one point on the line. ● Find the gradient of a line through two points. ● Draw and interpret distance–time graphs. ● Calculate average speed from a distance–time graph. ● Understand velocity–time graphs. ● Find acceleration and distance from velocity–time graphs. ● Draw and interpret real-life linear graphs. ● Recognise direct proportion. ● Draw and use a line of best fit. ● Find the coordinates of the midpoint of a line segment. ● Find the gradient and length of a line segment. ● Find the equations of lines parallel or perpendicular to a given line. ● Draw quadratic graphs. ● Solve quadratic equations using graphs. ● Identify the line of symmetry of a quadratic graph. ● Interpret quadratic graphs relating to real-life situations. ● Draw graphs of cubic functions. ● Solve cubic equations using graphs.

● Find the median from a frequency table. ● Estimate the mean of grouped data. ● Understand the need for sampling. ● Understand how to avoid bias. Unit 8: ● Calculate the perimeter and area of rectangles, parallelograms and triangles. ● Estimate lengths, areas and costs. ● Calculate a missing length, given the area. ● Calculate the area and perimeter of trapezia, as well as finding lengths given them. ● Convert between area measures. ● Calculate the perimeter and area of shapes made from triangles and rectangles. ● Calculate areas in hectares and convert between ha and m2. ● Calculate the surface area of a range of prisms ● Calculate the volume of a range of prisms ● Solve problems involving surface area and volume. ● Convert between measures of volume.

● Draw graphs of reciprocal functions. ● Recognise a graph from its shape. ● Interpret linear and non-linear real-life graphs. ● Draw the graph of a circle Unit 7: ● Find the perimeter and area of compound shapes. ● Recall and use the formula for the area of a trapezium. ● Convert between metric units of area. ● Calculate the maximum and minimum possible values of a measurement. ● Convert between metric units of volume. ● Calculate volumes and surface areas of prisms. ● Calculate the area and circumference of a circle. ● Calculate area and circumference in terms of π. ● Calculate the perimeter and area of semicircles and quarter circles. ● Calculate arc lengths, angles and areas of sectors of circles. ● Calculate volume and surface area of a cylinder and a sphere. ● Solve problems involving volumes and surface areas. ● Calculate volume and surface area of pyramids and cones. ● Solve problems involving pyramids and cones. Unit 8: ●Draw plans and elevations of 3D solids. ● Reflect a 2D shape in a mirror line. ● Rotate a 2D shape about a centre of rotation.

● Describe reflections and rotations. ●Enlarge shapes by fractional and negative scale factors about a centre of enlargement. ● Translate a shape using a vector. ● Carry out and describe combinations of transformations. ● Draw and use scales on maps and scale drawings. ● Solve problems involving bearings. ● Construct triangles using a ruler and compasses. ● Construct the perpendicular bisector of a line. ● Construct the shortest distance from a point to a line using a ruler and compasses." ● Bisect an angle using a ruler and compasses. ● Construct angles using a ruler and compasses. ● Construct shapes made from triangles using a ruler and compasses. ● Draw a locus. ● Use loci to solve problems.

Assessments Pupils will be assessed at the end of each unit completed - approximately every 2 - 3 weeks. Total marks awarded for these tests range from the mid-twenties to the mid-thirties. These tests are also done in conjunction with an end of term assessment that examines all content covered over the term, where the total marks available can be up to 65. All assessments and mark schemes are written by Edexcel, the Examination Board that is currently used by the school for final GCSE examinations. The intent is to get pupils familiar with the style of questions and the demands of formal assessment as soon as possible. Working at grades are generated as an average of these assessment scores throughout the academic year.

Year 10 Foundation (Grades 1-5) Year 1 of 2

Year 10 Higher (Grades 4-9) Year 1 of 2

Autumn

Overview:

Unit 1 Number (11 Lessons)

Unit 2 Algebra (10 Lessons)

Unit 3 Graphs, tables and charts (12 Lessons)

Unit 4 Fractions and percentages (12 Lessons)

Unit 5: Equations, inequalities and sequences (12 Lessons)

Overview:

Unit 1 Number (11 Lessons)

Unit 2 Algebra (12 Lessons)

Unit 3 Graphs, tables and charts (11 Lessons)

Unit 4 Fractions and percentages (10 Lessons)

Unit 5: Angles and Trigonometry (12 Lessons)

Skills: Unit 1:

Use priority of operations with positive and negative numbers. Simplify calculations by cancelling. Use inverse operations. Round to a given number of decimal places. Multiply and divide decimal numbers. Write decimal numbers of millions. Round to a given number of significant figures. Estimate answers to calculations.

Skills: Unit 1: Work out the total number of ways of performing a series of tasks. Estimate an answer. Use place value to answer questions." Write a number of the product of its prime factors. Find the HCF and LCM of two numbers. Use powers and roots in calculations. Multiply and divide using index laws. Work out a power raised to a power.

Use one calculation to find the answer to another. Recognise 2-digit prime numbers. Find factors and multiples of numbers. Find common factors and common multiples of two numbers. Find the HCF and LCM of two numbers by listing. Find square roots and cube roots. Recognise powers of 2, 3, 4 and 5. Understand surd notation on a calculator. Use index notation for powers of 10. Use index notation in calculations. Use the laws of indices. Write a number as the product of its prime factors. Use prime factor decomposition and Venn diagrams to find the HCF and LCM. Unit 2 Use correct algebraic notation. Write and simplify expressions. Use the index laws. Multiply and divide expressions. Substitute numbers into expressions. Recognise the difference between a formula and an expression. Substitute numbers into a simple formula. Expand brackets. Simplify expressions with brackets. Substitute numbers into expressions with brackets and powers. Recognise factors of algebraic terms.

Use negative indices. Use fractional indices. Write a number in standard form. Calculate with numbers in standard form. Understand the difference between rational and irrational numbers. Simplify a surd. Rationalise a denominator. Unit 2: Use the rules of indices to simplify algebraic expressions. Expand brackets. Factorise algebraic expressions. Solve equations involving brackets and numerical fractions. Use equations to solve problems. Substitute numbers into formulae. Rearrange formulae. Distinguish between expressions, equations, formulae and identities. Find a general formula for the nth term of an arithmetic sequence. Determine whether a particular number is a term of a given arithmetic sequence. Solve problems using geometric sequences. Work out terms in Fibonnaci like sequences. Find the nth term of a quadratic sequence. Expand the product of two brackets. Use the difference of two squares.

Factorise algebraic expressions. Use the identity symbol ≡ and the not equals symbol ≠ Write expressions and simple formulae to solve problems. Use maths and science formulae.

Unit 3 Designing tables and data collection sheets. Reading data from tables. Use data from tables. Design and use two-way tables. Draw and interpret comparative and composite bar charts. Interpret and compare data shown in bar charts, line graphs and histograms. Plot and interpret time series graphs. Use trends to predict what might happen in the future. Construct and interpret stem and leaf and back-to-back stem and leaf diagrams. Draw and interpret pie charts. Plot and interpret scatter graphs. Determine whether or not there is a relationship between sets of data. Draw a line of best fit on a scatter graph. Use the line of best fit to predict values.

Unit 4 Compare fractions. Add and subtract fractions. Use fractions to solve problems. Find a fraction of a quantity or measurement. Use fractions to solve problems.

Factorise quadratics of the form x2 + bx + c. Unit 3: Construct and use back-to-back stem and leaf diagrams. Construct and use frequency polygons and pie charts. Plot and interpret time series graphs. Use trends to predict what might happen in the future. Plot and interpret scatter graphs. Determine whether there is a linear relationship between two variables. Draw a line of best fit on a scatter graph. Use the line of best fit to predict values. Decide which average is best for a set of data. Estimate the mean and range from a grouped frequency table. Find the modal class and the group containing the median. Construct and use two-way tables. Choose appropriate diagrams to display data. Recognise misleading graphs. Unit 4: Add, subtract, multiply and divide fractions and mixed numbers. Find the reciprocal of an integer, decimal or fraction. Write ratios in the form 1 : n or n : 1. Compare ratios. Find quantities using ratios. Solve problems involving ratios.

Multiply whole numbers, fractions and mixed numbers. Simplify calculations by cancelling. Divide a whole number by a fraction. Divide a fraction by a whole number or a fraction. Convert fractions to decimals and vice versa. Use decimals to find quantities. Write one number as a fraction of another. Convert percentages to fractions and vice versa. Write one number as a percentage of another. Convert percentages to decimals and vice versa. Find a percentage of a quantity. Use percentages to solve problems. Calculate simple interest. Calculate percentage increases and decreases. Use percentages in real-life situations. Calculate VAT (value added tax).

Unit 5 Understand and use inverse equations. Rearrange simple linear equations. Solve simple linear equations. Solve two-step equations. Solve linear equations with brackets. Solve equations with unknowns on both sides. Use correct notation to show inclusive and exclusive inequalities. Solve simple linear inequalities. Write down whole number that satisfy an inequality.

Convert between currencies and measures. Recognise and use direct proportion. Solve problems involving ratios and proportion. Work out percentage increases and decreases. Solve real-life problems involving percentages. Calculate using fractions, decimals and percentages. Convert a recurring decimal to a fraction. Unit 5: Derive and use the sum of angles in a triangle and in a quadrilateral. Derive and use the fact that the exterior angle of a triangle is equal to the sum of the two opposite interior angles. Calculate the sum of the interior angles of a polygon. Use the interior angles of polygons to solve problems. Know the sum of the exterior angles of a polygon. Use the angles of polygons to solve problems. Calculate the length of the hypotenuse in a right-angled triangle. Solve problems using Pythagoras’ theorem. Calculate the length of a shorter side in a right-angled triangle. Solve problems using Pythagoras’ theorem. Use trigonometric ratios to find lengths in a right-angled triangle. Use trigonometric ratios to solve problems. Use trigonometric ratios to calculate an angle in a right-angled triangle. Find angles of elevation and angles of depression.

Represent inequalities on a number line. Solve two-sided inequalities. Substitute values into formulae and solve equations. Change the subject of a formula. Know the difference between an expression, an equation, a formula and an identity. Recognise and extend sequences. Use the nth term to generate terms of a sequence. Find the nth term of an arithmetic sequence.

Use trigonometric ratios to solve problems. Know the exact values of the sine, cosine and tangent of some angles.

Assessments: Students are assessed Unit to Unit (roughly every 2 to 3 weeks). Each assessment is marked out of 50 and is graded using the GCSE 1-9 system. Over the course of the year, the students’ grade will increase over time. Students also complete a full GCSE paper each full term. This, added to the Unit Working At grade, helps the faculty to predict student outcomes for the end of Year 11.

Spring

Overview: Unit 6 Angles (9 Lessons)

Unit 7 Averages and range (9 Lessons)

Unit 8 Area and Perimeter and Volume (10 Lessons)

Unit 9 Graphs (10 Lessons)

Unit 10 Transformations (10 Lessons)

Overview: Unit 6 Graphs (11 Lessons)

Unit 7 Area and volume (10 Lessons)

Unit 8 Transformations and Constructions (10 Lessons)

Unit 9: Equations and Inequalities (9 Lessons)

Unit 10: Probability (9 Lessons)

Skills: Unit 6: Solve geometric problems using side and angle properties of quadrilaterals. Identify congruent shapes. Understand and use the angle properties of parallel lines. Find missing angles using corresponding and alternate angles. Solve angle problems in triangles. Understand angle proofs about triangles. Calculate the interior and exterior angles of regular polygons. Calculate the interior and exterior angles of polygons. Explain why some polygons fit together and some others do not Solve angle problems using equations. Solve geometrical problems showing reasoning. Unit 7: Calculate the mean from a list and from a frequency table. Compare sets of data using the mean and range. Find the mode, median and range from a stem and leaf diagram. Identify outliers. Estimate the range from a grouped frequency table. Recognise the advantages and disadvantages of each type of average. Find the modal class. Find the median from a frequency table. Estimate the mean of grouped data.

Skills: Unit 6: Find the gradient and y-intercept from a linear equation. Rearrange an equation into the form y = mx + c. Compare two graphs from their equations. Plot graphs with equations ax + by = c. Sketch graphs using the gradient and intercepts. Find the equation of a line, given gradient & 1 point on line. Find the gradient of a line through two points. Draw and interpret distance–time graphs. Calculate average speed from a distance–time graph. Understand velocity–time graphs. Find acceleration and distance from velocity–time graphs. Draw and interpret real-life linear graphs. Recognise direct proportion. Draw and use a line of best fit. Find the coordinates of the midpoint of a line segment. Find the gradient and length of a line segment. Find the equations of lines parallel or perpendicular to a given line. Draw quadratic graphs. Solve quadratic equations using graphs. Identify the line of symmetry of a quadratic graph. Interpret quadratic graphs relating to real-life situations. Draw graphs of cubic functions. Solve cubic equations using graphs.

Understand the need for sampling. Understand how to avoid bias. Unit 8: Calculate the perimeter and area of rectangles, parallelograms and triangles. Estimate lengths, areas and costs. Calculate a missing length, given the area. Calculate the area and perimeter of trapezia. Find the height of a trapezium given its area. Convert between area measures. Calculate the perimeter and area of shapes made from triangles and rectangles. Calculate areas in hectares, and convert between ha and m2. Calculate the surface area of a cuboid. Calculate the surface area of a prism. Calculate the volume of a cuboid. Calculate the volume of a prism. Solve problems involving surface area and volume. Convert between measures of volume. Unit 9: Find the midpoint of a line segment. Recognise, name and plot straight-line graphs parallel to the axes. Recognise, name and plot the graphs of y = x and y = –x. Generate and plot coordinates from a rule. Plot straight-line graphs from tables of values. Draw graphs to represent relationships.

Draw graphs of reciprocal functions. Recognise a graph from its shape. Interpret linear and non-linear real-life graphs. Draw the graph of a circle. Unit 7: Find the perimeter and area of compound shapes. Recall and use the formula for the area of a trapezium. Convert between metric units of area. Calculate the maximum and minimum possible values of a measurement. Convert between metric units of volume. Calculate volumes and surface areas of prisms. Calculate the area and circumference of a circle. Calculate area and circumference in terms of π. Calculate the perimeter and area of semicircles and quarter circles. Calculate arc lengths, angles and areas of sectors of circles. Calculate volume and surface area of a cylinder and a sphere. Solve problems involving volumes and surface areas. Calculate volume and surface area of pyramids and cones. Solve problems involving pyramids and cones. Unit 8: Draw plans and elevations of 3D solids. Reflect a 2D shape in a mirror line. Rotate a 2D shape about a centre of rotation.

Find the gradient of a line. Identify and interpret the gradient from an equation. Understand that parallel lines have the same gradient. Understand what m and c represent in y = mx + c. Find the equations of straight-line graphs. Sketch graphs given the values of m and c. Draw and interpret graphs from real data. Use distance–time graphs to solve problems. Draw distance–time graphs. Interpret rate of change graphs. Draw and interpret a range of graphs. Understand when predictions are reliable. Unit 10: Translate a shape on a coordinate grid. Use a column vector to describe a translation. Draw a reflection of a shape in a mirror line. Draw reflections on a coordinate grid. Describe reflections on a coordinate grid. Rotate a shape on a coordinate grid. Describe a rotation. Enlarge a shape by a scale factor. Enlarge a shape using a centre of enlargement. Identify the scale factor of an enlargement. Find the centre of enlargement. Describe an enlargement. Transform shapes using more than one transformation. Describe combined transformations of shapes on a grid.

Describe reflections and rotations. Enlarge shapes by fractional and negative scale factors about a centre of enlargement. Translate a shape using a vector. Carry out and describe combinations of transformations. Draw and use scales on maps and scale drawings. Solve problems involving bearings. Construct triangles using a ruler and compasses. Construct the perpendicular bisector of a line. Construct the shortest distance from a point to a line using a ruler and compasses. Bisect an angle using a ruler and compasses. Construct angles using a ruler and compasses. Construct shapes made from triangles using a ruler and compasses. Draw a locus. Use loci to solve problems. Unit 9 Find the roots of quadratic functions. Rearrange and solve simple quadratic equations. Solve complex quadratic equations. Use the quadratic formula to solve a quadratic equation. Complete the square for a quadratic expression. Solve quadratic equations by completing the square. Solve simple simultaneous equations. Solve simultaneous equations for real-life situations.

Use simultaneous equations to find the equation of a straight line. Solve linear simultaneous equations where both equations are multiplied. Interpret real-life situations involving two unknowns and solve them. Solve simultaneous equations with one quadratic equation. Use real-life situations to construct quadratic and linear equations and solve them. Solve inequalities and show the solution on a number line and using set notation. Unit 10 Use the product rule for finding the number of outcomes for two or more events. List all the possible outcomes of two events in a sample space diagram. Identify mutually exclusive outcomes and events. Find the probabilities of mutually exclusive outcomes and events. Find the probability of an event not happening. Work out the expected results for experimental and theoretical probabilities. Compare real results with theoretical expected values to see if a game is fair. Draw and use frequency trees. Calculate probabilities of repeated events. Draw and use probability tree diagrams. Decide if two events are independent.

Draw and use tree diagrams to calculate conditional probability. Draw and use tree diagrams without replacement. Use two-way tables to calculate conditional probability. Use Venn diagrams to calculate conditional probability. Use set notation.

Assessments: Students are assessed Unit to Unit (roughly every 2 to 3 weeks). Each assessment is marked out of 50 and is graded using the GCSE 1-9 system. Over the course of the year, the students’ grade will increase over time. Students also complete a full GCSE paper each full term. This, added to the Unit Working At grade, helps the faculty to predict student outcomes for the end of Year 11

Summer

Overview: Unit 11 Ratio and Proportion (10 Lessons) Unit 12 Right Angled Triangles (10 Lessons) Unit 13 Probability (9 Lessons) Unit 14 Multiplicative Reasoning (9 Lessons)

Unit 15 Constructions, loci, bearings (10 Lessons)

Overview: Unit 11 Multiplicative Reasoning (8 Lessons)

Unit 12 Similarity and Congruence (8 Lessons)

Unit 13 More Trigonometry (12 Lessons)

Unit 14 Further Statistics (10 Lessons)

Unit 15 Equations and Graphs (9 Lessons)

Skills Unit 11 Use ratio notation.

Skills Unit 11 Find an amount after repeated percentage changes.

Write a ratio in its simplest form. Solve problems using ratios." Solve simple problems using ratios. Use ratios to convert between units. Write and use ratios for shapes and their enlargements. Divide a quantity into 2 parts in a given ratio. Divide a quantity into 3 parts in a given ratio. Solve word problems using ratios. Use ratios involving decimals. Compare ratios. Solve ratio and proportion problems. Use the unitary method to solve proportion problems. Solve proportion problems in words. Work out which product is better value for money. Recognise and use direct proportion on a graph. Understand the link between the unit ratio and the gradient. Recognise different types of proportion. Solve word problems involving direct and inverse proportion. Unit 12 Understand Pythagoras’ theorem. Calculate the length of the hypotenuse in a right-angled triangle. Solve problems using Pythagoras’ theorem. Calculate the length of a line segment AB. Calculate the length of a shorter side in a right-angled triangle.

Solve growth and decay problems. Calculate rates. Convert between metric speed measures. Use a formula to calculate speed and acceleration. Solve problems involving compound measures. Use relationships involving ratio. Use direct and indirect proportion. Unit 12 Show that two triangles are congruent. Know the conditions of congruence. Prove shapes are congruent. Solve problems involving congruence. Use the ratio of corresponding sides to work out scale factors. Find missing lengths on similar shapes. Use similar triangles to work out lengths in real life. Use the link between linear scale factor and area scale factor to solve problems. Use the link between scale factors for length, area and volume to solve problems. Unit 13 Use upper & lower bounds in calculations involving trigonometry Understand how to find the sine of any angle. Know the graph of the sine function and use it to solve equations. Understand how to find the cosine of any angle.

Understand and recall the sine ratio in right-angled triangles. Use the sine ratio to calculate the length of a side in a right-angled triangle. Use the sine ratio to solve problems. Use the sine ratio to calculate an angle in a right-angled triangle. Use the sine ratio to solve problems. Understand and recall the cosine ratio in right-angled triangles. Use the cosine ratio to calculate the length of a side in a right-angled triangle. Use the cosine ratio to calculate an angle in a right-angled triangle. Use the cosine ratio to solve problems. Understand and recall the tangent ratio in right-angled triangles. Use the tangent ratio to calculate the length of a side in a right-angled triangle. Use the tangent ratio to calculate an angle in a right-angled triangle. Solve problems using an angle of elevation or depression. Understand and recall trigonometric ratios in right-angled triangles. Use trigonometric ratios to solve problems. Know the exact values of the sine, cosine and tangent of some angles. Unit 13 Calculate simple probabilities from equally likely events.

Know the graph of the cosine function and use it to solve equations. Understand how to find the tangent of any angle. Know the graph of the tangent function and use it to solve equations. Find the area of a triangle and a segment of a circle. Use the sine rule to solve 2D problems. Use the cosine rule to solve 2D problems. Solve bearings problems using trigonometry. Use Pythagoras’ theorem in 3D. Use trigonometry in 3D. Recognise how changes in a function affect trigonometric graphs. Recognise how changes in a function affect trigonometric graphs.

Unit 14 Understand how to take a simple random sample. Understand how to take a stratified sample. Draw and interpret cumulative frequency tables and diagrams. Work out the median, quartiles & interquartile range from a cumulative frequency diagram. Find the quartiles and the interquartile range from stem-and-leaf diagrams. Draw and interpret box plots. Understand frequency density. Draw histograms.

Understand mutually exclusive and exhaustive outcomes. Use two-way tables to record the outcomes from two events. Work out probabilities from sample space diagrams. Find and interpret probabilities based on experimental data. Make predictions from experimental data. Use Venn diagrams to work out probabilities. Understand the language of sets and Venn diagrams. Use frequency trees and tree diagrams. Work out probabilities using tree diagrams. Understand independent events. Understand when events are not independent. Solve probability problems involving events that are not independent. Unit 14 Calculate a percentage profit or loss. Express a given number as a percentage of another in more complex situations. Find the original amount given the final amount after a percentage increase or decrease Find an amount after repeated percentage change. Solve growth and decay problems. Solve problems involving compound measures. Convert between metric speed measures. Calculate average speed, distance and time. Use formulae to calculate speed and acceleration. Use ratio and proportion in measures and conversions. Use inverse proportions.

Interpret histograms. Compare two sets of data. Unit 15 Solve simultaneous equations graphically. Represent inequalities on graphs. Interpret graphs of inequalities. Recognise and draw quadratic functions. Find approximate solutions to quadratic equations graphically. Solve quadratic equations using an iterative process. Find the roots of cubic equations. Sketch graphs of cubic functions. Solve cubic equations using an iterative process.

Unit 15 Recognise 3D shapes and their properties. Describe 3D shapes using the correct mathematical words. Understand the 2D shapes that make up 3D objects. Identify and sketch planes of symmetry of 3D shapes. Understand and draw plans and elevations of 3D shapes. Sketch 3D shapes based on their plans and elevations. Make accurate drawings of triangles using a ruler, protractor and compasses. Identify SSS, ASA, SAS and RHS triangles as unique from a given description. Identify congruent triangles Draw diagrams to scale. Correctly interpret scales in real-life contexts. Use scales on maps and diagrams to work out lengths and distances. Know when to use exact measurements and estimations on scale drawings and maps. Draw lengths and distances correctly on given scale drawings. Accurately draw angles and 2D shapes using a ruler, protractor and compasses. Construct a polygon inside a circle. Recognise nets and make accurate drawings of nets of common 3D objects. Draw accurately using rulers and compasses. Bisect angles and lines using rulers and compasses. Draw loci for the path of points that follow a given rule.

Identify regions bounded by loci to solve practical problems. Find and use three-figure bearings. Use angles at parallel lines to work out bearings. Solve problems involving bearings and scale diagrams. Assessments: Students are assessed Unit to Unit (roughly every 2 to 3 weeks). Each assessment is marked out of 50 and is graded using the GCSE 1-9 system. Over the course of the year, the students’ grade will increase over time. Students also complete a full GCSE paper each full term. This, added to the Unit Working At grade, helps the faculty to predict student outcomes for the end of Year 11

Year 11 Curriculum Overview

Year 11 classes within Mathematics follow a fully bespoke scheme of work, strategically planned for by each classroom teacher.

Using a question-by-question analysis of their mock exam from June 2019, staff identify weak skills of the whole class and deliver lessons

accordingly.

Skills that are insecure will be covered as part of the whole school initiative of Do Now tasks at the start of lessons.

To assess learning of the children, staff will assess them using a bespoke assessment paper, based on the topics covered during a set period –

usually a half term.

All students will complete formal mock examination in November 2019 – the results of this exam will form a new bespoke scheme of work for

the next full term.

Evidence of this process from the previous academic year showed student improvement on raw marks as follows:

Between End of Year 10 and November Mock = 26 mark improvement on average of cohort

Between November Mock and March Mock = 21 mark improvement on average of cohort

Students have completed a full GCSE Mock Exam at the end of Year 10.

Our Year 11 curriculum is aspirational and

challenges all abilities as classes focus on

their own individual weaknesses rather

than a “one size fits all”

Students can also be entered for either

Higher of Foundation tier dependent on

assessment performance throughout the

year.

Mathematics allows us to equip

students to work in a forward

thinking West Midlands society

by learning about tax, interest,

timetables, profit and loss,

problem solving with areas and

volumes within lessons.

The new GCSE framework has within it a

massive emphasis on literacy through the

deployment of problem solving based

questions and the ability to explain reasons

behind Mathematics.

Classroom teachers encourage this new

expectation through the delivery of

examination style problems and through

questioning within the lessons.

Our Year 11 curriculum ensures that social

disadvantage is addressed by ensuring all

classes are encouraged to speak about

Mathematics within lessons and respect

each others’ views on a topic or skill.

Resource deployment of MathsWatch, Pixl

Maths App and Collins Revision Guides also

ensures that all students access the same

“deal”.

The data produced shows where class strengths and weaknesses are located using a Red, Amber and Green system as shown below:

From the question by question analysis, staff then plan the topics most important to their classes. As this is a question at the start

of the course, this would be

addressed through Do Now

activities

These topics are clearly skills

that have not been taught to

the whole class so would be

prioritised by a classroom

teacher for main lessons

This topic shows most students

have an understanding but it

not deep enough to fully solve

the problem.

Teachers will address these

individual questions through

paper review lessons

These lesson proformas are completed on a half termly basis and are available to students so they can independently revise topics:

Classes are fully bespoke and complete topics that are

essential to them.

Some classes will complete whole units of work from the

Pearson GCSE Scheme of work.

Higher classes will cover units which learn skills of

functions, vectors and algebraic proof.

Foundation classes will cover units on vectors, area and

perimeter of sectors and quadratic equations