Maths

Contact

Head of Maths: Dr Michael Quigley

Subject overview

At Harper Green our aim is to empower our maths students so that they can use all the maths taught to them to help them solve problems both inside and out of the classroom. Ensuring every student has a firm grasp of the foundations of working with number and proportion is key to their success in the wider topics of the National Curriculum and our interleaving focus on proportionality helps to instil this.

Our curriculum gives the opportunity for all students to progress and grow in confidence and ultimately master the key skills and problem-solving strategies to reach their full potential when it comes to sitting their GCSE.

Key Stage 3 Overview

Our Key Stage 3 curriculum has been designed to push students on in maths without repeating a lot of the content they will already be confident in, from Key Stage 2. Every topic has a breadth of skills to be covered with different levels of challenge available for different classes. All resources have been centrally designed by the maths department and are available (linked from our road maps) for staff to use and adapt to their classes.

Our aims are to ensure that all pupils make progress, grow in confidence and understand how powerful maths is as a tool to solve all manner of problems across all their school subjects and wider lives. We use regular assessments to identify whether the learning and teaching has been successful and feedback to students regularly during class with the emphasis on them showing they have made any relevant steps to make necessary improvements.

The Key stage 3 curriculum will pretty much cover the entire GCSE Foundation specification topics with classes with students then being able to be placed on the Higher or Foundation pathway at the end of Year 9.

Sparks is also used to support pupils’ learning and it is so important that all independent learning set on this system is completed as it has been proven to improve overall GCSE grades.

Key Stage 4 Overview

Our Key Stage 4 curriculum is split into two pathways:

Foundation
Key Stage 4 Foundation Mathematics focuses on building upon the knowledge and skills developed during Key Stage 3. Students learn how to apply these skills in a range of different situations, helping them solve the types of problems encountered in GCSE examinations.
Throughout the year, regular lessons are dedicated to exam-style questions linked to the topics currently being studied. Our aim is to ensure that all Foundation students become confident and secure in the skills required for GCSE Mathematics and can successfully apply them when needed.

Higher
The Higher curriculum builds on the foundations established throughout Key Stage 3. Students use their prior knowledge to access more advanced mathematical concepts required for Higher GCSE papers.Problem-solving and exam practice are embedded throughout Key Stage 4, preparing students for the most challenging and high-mark questions they will encounter during their Year 11 examinations.

Independent Learning
Sparx Maths is used to support pupils' learning. It is extremely important that all independent learning set through the platform is completed, as regular engagement has been shown to improve overall GCSE outcomes.

Maths Curriculum OVERVIEW

harper green leverhulme maths curriculum overview.pdf

Year 7	Autumn 1	Autumn 2	Spring 1	Spring 2	Summer 1	Summer 2
About this unit	Number Sense and Calculations	Expressions & Equations and Measures	Perimeter, Area, Coordinates and Factors, Multiples & Primes	Fractions and Algebraic Brackets	Angles and Handling Data	Proportion and Probability
National Curriculum Link	This covers units of the National Curriculum for Key Stage 3 in the Number Section and is a class to assess and build on key foundations from Year 6	This term covers units of the National Curriculum from the Algebra and Shape and Measure sections.	This term covers units of the National Curriculum from Shape and Measure and Number	This covers units of the National Curriculum for Key Stage 3 in the Proportion and Algebra Sections	This covers units of the National Curriculum for Key Stage 3 in the Handling Data and Shape and Measure sections	This covers units of the National Curriculum for Key Stage 3 in the Proportion and Handling Data (Probability) Sections
Knowledge and Key Skills	Number sense Using number lines Integer place value Decimal place value Ordering negative numbers Rounding integers Rounding decimals Adding and subtracting Adding integers Adding decimals Subtracting integers Subtracting decimals Multiplying Multiplying and dividing by 10, 100 and 1000 Multiplying using place value Using a written method to multiply integers Using a written method to multiply decimals Dividing Dividing numbers into equal groups Using a written method to divide integers Dividing with remainder Using a written method to divide by integers to get a decimal answer Using a written method to divide by decimals Calculating with negative numbers Adding and subtracting with negative numbers Multiplying and dividing with negative numbers Order of operations Calculating with roots and powers Using the correct order of operations Using the commutative laws Using the associative laws	Expressions Algebraic notation Algebraic terminology Simplifying expressions containing a single variable Simplifying expressions containing multiple variables Simplifying expressions containing non-linear terms Substitution Substituting into expressions with one operation Substituting into expressions with multiple operations Substituting into algebraic formulae Substituting into real-life formulae Solving equations Solving equations with one step Solving equations of the form ax + b = c Solving equations of the form x/a + b = c Time Converting units of time Using clocks Calculating with time Using timetables Using calendars Measures Estimating and measuring length, mass and capacity Converting units of length, mass and capacity Using appropriate units	2D Shapes Line properties Shape properties Symmetry Perimeter Finding perimeters using grids Finding the perimeter of rectangles and simple shapes Finding the perimeter of compound shapes Area Finding areas using grids Finding the area of rectangles Finding the area of compound shapes Finding the area of triangles Finding the area of compound shapes containing triangles Coordinates Reading and plotting coordinates Solving shape problems involving coordinates Factors And Multiples Finding the lowest common multiple Finding factors and using divisibility tests Finding the highest common factor Primes Finding prime numbers Prime factor decomposition	Writing and comparing fractions Finding fractions of shapes Constructing fractions Finding equivalent fractions Simplifying fractions Ordering fractions Converting between mixed numbers and improper fractions Adding and subtracting fractions Adding and subtracting fractions Adding and subtracting mixed numbers Single brackets Using the distributive law Expanding single brackets Expanding single brackets and simplifying expressions Factorising into one bracket	Averages and range Calculating the range Calculating the median Finding the mode Calculating the mean Tables and charts Interpreting frequency tables and two-way tables Drawing and interpreting tally charts Drawing and interpreting pictograms Drawing bar charts Interpreting bar charts Collecting and presenting data Collecting and recording data using tables Finding averages from frequency tables Choosing suitable averages and solving problems	Proportion word problems Solving proportion problems Multiplying and dividing fractions Reciprocals Multiplying fractions Dividing fractions Multiplying with mixed numbers Dividing with mixed numbers Fractions of amounts Fractions of amounts without a calculator Fractions of amounts with a calculator Fractions, decimals and percentages Converting between fractions and decimals Converting between fractions, decimals and percentages Ordering fractions, decimals and percentages Writing numbers as percentages of other numbers Theoretical probability Using probability phrases Writing probabilities as fractions Writing probabilities as fractions, decimals and percentages Probabilities of mutually exclusive events Sample space diagrams
Assessment	End of Topic Learning Checkpoints will be used to assess pupils’ understanding of the topics taught this half term. These will be marked with feedback given to the class.	End of Topic Learning Checkpoints will be used to assess pupils’ understanding of the topics taught this half term. These will be marked with feedback given to the class. There will also be a formal end of term assessment based on everything covered so far this year.	End of Topic Learning Checkpoints will be used to assess pupils’ understanding of the topics taught this half term. These will be marked with feedback given to the class.	This unit will focus on the End of Topic Learning Checkpoints will be used to assess pupils’ understanding of the topics taught this half term. These will be marked with feedback given to the class.	End of Topic Learning Checkpoints will be used to assess pupils’ understanding of the topics taught this half term. These will be marked with feedback given to the class.	End of Topic Learning Checkpoints will be used to assess pupils’ understanding of the topics taught this half term. These will be marked with feedback given to the class. There will also be a formal end of year assessment based on everything covered so far to check what has been understood and retained.
Key vocabulary	✓ Percentage ✓ Decimal ✓ Fraction ✓ Value ✓ Compare ✓ Convert ✓ Indices/Index/Power ✓ Square root/Cube root ✓ Square, Cube ✓ Simplify ✓ Expression ✓ Common Factor ✓ Numerator ✓ Denominator	✓ Expression ✓ Algebra ✓ Like Term ✓ Simplify ✓ Unknown/Variable ✓ Substitute ✓ Value ✓ Equation ✓ Inverse ✓ Balance ✓ AM/PM ✓ 24 Hour Clock ✓ Metric/Imperial ✓ Metre/cm/mm/km ✓ Litre/ml ✓ Kilogram/kg ✓ Feet/inches ✓ Pint/gallon ✓ Stone/pound ✓ Second/minute/hour	✓ Quadrilaterals (square, rectangle, rhombus, parallelogram, kite, trapezium) ✓ Triangles (isosceles, scalene, equilateral) ✓ Parallel ✓ perpendicular ✓ symmetry ✓ Area/Perimeter ✓ Coordinates ✓ X and y axis ✓ Factor/multiple ✓ Prime Number ✓ Prime Factors ✓ LCM and HCF	✓ Fractions ✓ Numerator ✓ Denominator ✓ Simplify/Cancel ✓ Equivalent ✓ Mixed number ✓ Improper ✓ Expand ✓ Factorise ✓ Brackets	✓ Averages (Mean, Mode, Median) ✓ Range ✓ Compare ✓ Data ✓ Frequency ✓ Tally chart ✓ Bar Chart ✓ Pictogram ✓ Analyse ✓ Collect data ✓ Survey	✓ Reciprocal ✓ Simplest form ✓ As a mixed number ✓ Equivalent ✓ LCM ✓ Probability ✓ Fair ✓ Biased ✓ Likely/Unlikely ✓ Impossible ✓ Certain ✓ Outcomes ✓ Mutually Exclusive ✓ Experimental ✓ Relative Frequency ✓ Sample Space

Year 8	Autumn 1	Autumn 2	Spring 1	Spring 2	Summer 1	Summer 2
About this unit	Percentages & Money Indices	Equations and Ratio	Coordinate, Area and Standard Form	Venn Diagrams, Factors, Multiple & Primes and 3D Shape	Algebraic Graphs, Transformations, Angles and Statistical Diagrams	Inequalities, algebra, Fractions Recap and Recurring Decimals
National Curriculum Links	This covers units of the National Curriculum for Key Stage 3 in the Number, Proportion and Algebra Sections	This term covers units of the National Curriculum for Key Stage 3 in the Algebra and Proportion Sections	This term covers units of the National Curriculum for Key Stage 3 in the Number and Shape & Space Sections	This term covers units of the National Curriculum for Key Stage 3 in the Number, Shape & Space and Handling Data sections	This term covers units of the National Curriculum for Key Stage 3 in the Algebra, Shape & Space and Data handling Sections	This term covers units of the National Curriculum for Key Stage 3 in the Number, Algebra and Proportion Sections
Knowledge and Key Skills	Percentages & Money Converting between fractions, decimals and percentages Finding percentages of amounts with and without a calculator Solving proportion problems Adding and Subtracting decimals (money) Using a written method to multiply decimals Real life problems involving money Understanding how to work out Value for money Indices Calculations with indices Working out square and cube roots Simplifying expressions involving laws of indices Using a written method to divide by integers to get a decimal answer Simplifying algebraic fractions by cancelling common factors	Solving equations Solving equations of the form (x+a)/b=c Solving linear equations involving brackets Solving equations with the unknown on both sides Solving equations with the unknown in the denominator Constructing and solving equations Term-to-term rules Term-to-term rules for numerical sequences Term-to-term rules for sequences of patterns Position-to-term rules Substituting into position-to-term rules Position-to-term rules for arithmetic sequences Position-to-term rules for sequences of patterns Ratio Writing and simplifying ratios Writing ratios in the form 1:n Converting between ratios, fractions and percentages Using equivalent ratios to find unknown amounts Sharing amounts in a given ratio Scale diagrams Drawing and interpreting scale diagrams	Rounding Rounding integers using significant figures Rounding decimals using significant figures Estimating calculations Coordinates Calculating midpoints Mixed problems: Coordinates and midpoints Area Finding the area of parallelograms Finding the area of trapeziums Converting units of area Circles Identifying parts of circles Finding the circumference of circles Finding the area of circles Standard form Using standard form with positive indices Using standard form with negative indices	Venn diagrams Venn diagrams Probabilities from Venn diagrams Factors, multiples and primes Finding the HCF and LCM using prime factor decomposition Nets Properties of 3D shapes Nets of 3D shapes Surface area Finding the surface area from a net Finding the surface area of cubes and cuboids Finding the surface area of prisms Volume Finding the volume of cubes and cuboids Finding the volume of prisms Converting units of volume	Linear graphs Plotting horizontal, vertical and diagonal lines Plotting straight line graphs Finding equations of straight line graphs Transformations Translation Reflection Angles Angles in quadrilaterals Combining angle facts Angles on parallel lines Using quadrilateral properties to find angles Angles in polygons Statistical diagrams Drawing pie charts Interpreting pie charts Drawing line graphs Interpreting line graphs Drawing stem-and-leaf diagrams Interpreting stem-and-leaf diagrams Finding averages from diagrams	Linear inequalities Reading and drawing linear inequalities on number lines Solving single inequalities Double brackets Expanding double brackets Fractions review Calculating with fractions Calculating with mixed numbers Algebraic fractions Simplifying algebraic fractions by factorising Adding and subtracting algebraic fractions Recurring decimals Using recurring decimal notation Converting fractions to recurring decimals
Assessment	End of Topic Learning Checkpoints will be used to assess pupils’ understanding of the topics taught this half term. These will be marked with feedback given to the class.	End of Topic Learning Checkpoints will be used to assess pupils’ understanding of the topics taught this half term. These will be marked with feedback given to the class. There will also be a formal end of term assessment based on everything covered so far this year.	End of Topic Learning Checkpoints will be used to assess pupils’ understanding of the topics taught this half term. These will be marked with feedback given to the class.	End of Topic Learning Checkpoints will be used to assess pupils’ understanding of the topics taught this half term. These will be marked with feedback given to the class.	End of Topic Learning Checkpoints will be used to assess pupils’ understanding of the topics taught this half term. These will be marked with feedback given to the class.	End of Topic Learning Checkpoints will be used to assess pupils’ understanding of the topics taught this half term. These will be marked with feedback given to the class. There will also be a formal end of year assessment based on everything covered so far to check what has been understood and retained.
Key vocabulary	✓ Percentage ✓ Decimal ✓ Fraction ✓ Value ✓ Compare ✓ Convert ✓ Indices/Index/Power ✓ Square root/Cube root ✓ Square, Cube ✓ Simplify ✓ Expression ✓ Common Factor ✓ Numerator ✓ Denominator	✓ Equation ✓ Unknown ✓ Invers ✓ Balance ✓ Solve ✓ Ratio ✓ Proportion ✓ Fraction ✓ Percentage ✓ Simplify ✓ 1:n ✓ Bar modelling ✓ Equivalent ✓ Scale Factor ✓ Similar	✓ Rounding ✓ Decimal places ✓ Significant figures ✓ Integer ✓ Place Value ✓ Trapezium ✓ Parallelogram ✓ Circle ✓ Circumference ✓ Area ✓ Diameter/Radius ✓ Sector ✓ Segment ✓ Tangent ✓ Arc ✓ Chord ✓ Centre ✓ Pi ✓ Standard Form ✓ Indices/Index/Power	✓ Venn Diagram ✓ Intersection ✓ Union ✓ Probability ✓ Prime Factors ✓ HCF ✓ LCM ✓ Surface Area ✓ Volume ✓ 3D ✓ Cuboid ✓ Prism ✓ Cylinder ✓ Cubed ✓ Cube root ✓ mm3, cm3, m3 ✓ Net ✓ Face ✓ Edge ✓ Vertices/Vertex	✓ Coordinates ✓ Plot ✓ Function ✓ Axis ✓ y=mx + c ✓ y intercept ✓ gradient ✓ translation ✓ vector ✓ reflection ✓ mirror line ✓ y = 3, x = -4 ✓ angle ✓ Protractor ✓ Parallel lines ✓ Perpendicular ✓ Alternate ✓ Corresponding ✓ Vertically opposite ✓ Angles on a straight line ✓ Angles around a point ✓ Composite ✓ Interior/Exterior Angles ✓ Pie Chart ✓ Stem and Leaf ✓ Key ✓ Line Graph ✓ Averages ✓ Mode, Median, Mode ✓ Range	✓ Inequalities ✓ Greater than ✓ Less than ✓ Equal to ✓ Solve ✓ Number Line ✓ Integer ✓ Expand ✓ Brackets ✓ Fractions ✓ Mixed Numbers ✓ Improper ✓ Cancel/Simplify ✓ Simplest form ✓ Recurring Decimal

Year 9	Autumn 1	Autumn 2	Spring 1	Spring 2	Summer 1	Summer 2
About this unit	Fractions, Percentages, Probability and Standard Form	Inequalities, Advanced Algebra and Circles	Rounding, 3D shapes, Pythagoras and Ratio and Proportion	Linear Graphs, compound Measure and Distance time Graphs	Quadratic Graphs, Angles and Transformations	Data Handling and Vectors
National Curriculum Links	This covers units of the National Curriculum for Key Stage 3 in the Number, Proportion and Statistics (Probability) sections.	This term covers units of the National Curriculum for Key Stage 3 in the Algebra and Shape, Space and Measure Sections.	This term covers units of the National Curriculum for Key Stage 3 in the Number, Shape & Space Sections and Proportion sections.	This term covers units of the National Curriculum for Key Stage 3 in the Algebra and shape, Space and Measure Sections	This term covers units of the National Curriculum for Key Stage 3 in the Algebra and Shape & Space Sections	This term covers units of the National Curriculum for Key Stage 3 Statistics and Shape, Space and Measure sections
Knowledge and Key Skills	Fractions and percentages Converting between fractions, decimals and percentages Ordering fractions, decimals and percentages Finding fractions of amounts Finding percentages of amounts Percentage change Finding original values in percentage calculations Finding the percentage an amount has been changed by Simple interest calculations Probability Expected results from repeated experiments Calculating experimental probabilities Frequency trees Standard form Multiplying and dividing numbers in standard form Adding and subtracting numbers in standard form Standard form with a calculator	Inequalities Solving inequalities with the unknown on both sides Solving double inequalities Constructing and solving inequalities Quadratic equations Factorising quadratic equations of the form x²+bx+c Factorising the difference of two squares Factorising to solve quadratic equations of the form x²+bx+c=0 Formulae Changing the subjects of formulae with one step Changing the subjects of formulae with two or more steps Constructions Constructing bisectors of angles Constructing perpendicular bisectors and lines Circles Finding the arc length of sectors Finding the area of sectors Finding the surface area of cylinders Finding the volume of cylinders	Rounding Finding error intervals Truncating decimals Finding error intervals for truncated numbers 3D shapes Plans and elevations Nets Pythagoras' theorem Using Pythagoras' theorem in 2D Applying Pythagoras' theorem in 2D Ratio and proportion Writing and simplifying ratios Sharing amounts in a given ratio Solving direct proportion word problems Solving inverse proportion word problems Currency conversion	Linear graphs Plotting straight line graphs Finding equations of straight line graphs Interpreting equations of straight line graphs Compound measures Calculating with speed Calculating with rates Distance-time graphs Plotting distance-time graphs Interpreting distance-time graphs Calculating speed from distance-time graphs Plotting distance-time graphs using speeds	Quadratic graphs Plotting graphs of quadratic functions Interpreting graphs of quadratic functions Solving quadratic equations graphically Angles Combining angle facts Angles on parallel lines Using quadrilateral properties to find angles Angles in polygons Bearings Measuring and drawing bearings Calculating bearings Transformations Translation Reflection Rotation Enlargement by a positive scale factor Mixed transformations Similarity and congruence Understanding similarity Finding unknown sides in similar shapes Understanding congruence Congruent triangles Constructing triangles	Scatter graphs Plotting scatter graphs Interpreting scatter graphs Using lines of best fit Collecting and presenting data Types of data Presenting data and making conclusions Comparing populations using diagrams Choosing suitable averages and solving problems Grouped data Interpreting frequency tables with grouped data Finding averages from grouped data Drawing and interpreting frequency polygons Column vectors Understanding column vectors Adding and subtracting column vectors Multiplying column vectors by a scalar Identifying parallel vectors
Assessment	End of Topic Learning Checkpoints will be used to assess pupils’ understanding of the topics taught this half term. These will be marked with feedback given to the class.	End of Topic Learning Checkpoints will be used to assess pupils’ understanding of the topics taught this half term. These will be marked with feedback given to the class. There will also be a formal end of term assessment based on everything covered so far this year.		End of Topic Learning Checkpoints will be used to assess pupils’ understanding of the topics taught this half term. These will be marked with feedback given to the class.	End of Topic Learning Checkpoints will be used to assess pupils’ understanding of the topics taught this half term. These will be marked with feedback given to the class.	End of Topic Learning Checkpoints will be used to assess pupils’ understanding of the topics taught this half term. These will be marked with feedback given to the class. There will also be a formal end of year assessment based on everything covered so far to check what has been understood and retained.
Key vocabulary	✓ Percentage ✓ Decimal ✓ Fraction ✓ Value ✓ Compare ✓ Convert ✓ Indices/Index/Power ✓ Square root/Cube root ✓ Standard Form ✓ Probability ✓ Event ✓ Experimental Probability ✓ Relative Frequency ✓ Mutually Exclusive ✓ Frequency tree ✓ Repeated Results	✓ Equation ✓ Unknown ✓ Inverse ✓ Factorise ✓ Solve ✓ Ratio ✓ Double Brackets ✓ Coefficient ✓ Difference of 2 Squares ✓ Factors ✓ Compasses ✓ Arc ✓ Perpendicular ✓ Bisector ✓ Angle ✓ Equal ✓ Construction Lines ✓ Circle ✓ Sector ✓ Radius ✓ Diameter ✓ Circumference ✓ Perimeter ✓ Area ✓ Proportion ✓ 360^o	✓ 3D ✓ Plan ✓ Elevation ✓ Scale ✓ Mm, cm, m ✓ Trapezium ✓ Parallelogram ✓ Circle ✓ Cuboid ✓ Cube ✓ Prism ✓ Pyramid ✓ Cone ✓ Cylinder ✓ Net ✓ Pythagoras ✓ Hypotenuse ✓ Square ✓ Square root ✓ Ratio ✓ Divide ✓ Proportion ✓ Simplify ✓ n:1, 1:n ✓ Ratio Table ✓ Exchange Rate	✓ Coordinates ✓ Plot ✓ Function ✓ Axis ✓ y=mx + c ✓ y intercept ✓ gradient ✓ Distance ✓ Speed ✓ Time ✓ Miles/hour ✓ Rate of Change ✓ Compound Measure ✓ Distance Time Graph ✓ Interpret ✓ Constant Speed ✓ Stationary	✓ Coordinates ✓ Plot ✓ Function ✓ Axis ✓ Quadratic ✓ y=x² ✓ Turning Points ✓ Roots ✓ Squared ✓ Parabola ✓ Angle ✓ Bearing Clockwise ✓ North, East, South, West ✓ Protractor ✓ Scale ✓ Translation ✓ Reflection ✓ Rotation ✓ Centre ✓ Mirror Line ✓ Symmetry ✓ Enlargement ✓ Scale Factor ✓ Similar ✓ Proportion ✓ Congruent	✓ Scatter Graph ✓ Correlation ✓ Line of Best Fit ✓ Interpret ✓ Data ✓ Analyse ✓ Data Handling Cycle ✓ Grouped Data ✓ Inequality ✓ Continuous Data ✓ Discrete Data ✓ Estimate the Mean ✓ Mode, Median, Range ✓ Frequency Polygon ✓ Column Vector ✓ Negative ✓ Translation

Year 10 Higher	Autumn 1	Autumn 2	Spring 1	Spring 2	Summer 1	Summer 2
About this unit	Decimals and Fractions, Percentages, solving Equations	Linear Graphs, Angles and 3D shapes	Pythagoras, Trigonometry and Proportion	Quadratics; plotting, Factorising and solving.	Further Ratio, compound Units and Distance Time Graphs	Probability, Averages, Cumulative Frequency and Box Plots, Statistical Investigations
National Curriculum Links	This term covers a range of topics from the KS4 National curriculum, all relevant to the Foundation and Higher Specification GCSE.	This term covers a range of topics from the KS4 National curriculum, all relevant to the Foundation and Higher Specification GCSE.	This term covers a range of topics from the KS4 National curriculum, all relevant to the Foundation and Higher Specification GCSE.	This term covers a range of topics from the KS4 National curriculum, all relevant to the Higher Specification GCSE	This term covers a range of topics from the KS4 National curriculum, all relevant to the Higher Specification GCSE	This term covers a range of topics from the KS4 National curriculum, all relevant to the Higher Specification GCSE
Knowledge and Key Skills	Decimals, Fractions and Percentages Understand the relationship between fractions, decimals and percentages. Know how place value applies to decimals, including tenths, hundredths and thousandths. Recognise and identify equivalent fractions, decimals and percentages. Convert between fractions, decimals and percentages. Compare and order fractions, decimals and percentages. Apply knowledge of fractions, decimals and percentages to solve real-life problems. Solving Equations Understand the meaning of an equation and the equals sign. Know that a variable represents an unknown value. Understand and use inverse operations to solve equations. Solve one-step and two-step equations. Simplify mathematical expressions where appropriate. Substitute values into equations to check solutions. Identify and calculate unknown values. Solve word problems involving equations. Explain and justify methods used when solving equations.	Linear Graphs Understand that linear graphs represent relationships between two variables. Know how to plot coordinates in all four quadrants. Read and interpret information from linear graphs. Draw linear graphs from given data or equations. Identify gradients and intercepts from linear graphs. Recognise and describe patterns and relationships shown on graphs. Solve problems using information presented in graphs. Explain findings using appropriate mathematical language. Angles and 3D Shapes Identify and classify different types of angles. Understand angle facts including angles on a straight line, around a point and within triangles and quadrilaterals. Use mathematical vocabulary to describe shapes and angles accurately. Apply knowledge of angle rules and shape properties to solve problems.	Pythagoras Understand that Pythagoras' Theorem applies to right-angled triangles. Know that the square of the hypotenuse is equal to the sum of the squares of the other two sides. Identify the hypotenuse in a right-angled triangle. Calculate the length of a missing side using Pythagoras' Theorem. Use square numbers and square roots accurately. Apply Pythagoras' Theorem to solve geometrical problems. Apply Pythagoras' Theorem in real-life contexts. Trigonometry Understand that trigonometry is used to find missing sides and angles in right-angled triangles. Know the sine, cosine and tangent ratios. Identify opposite, adjacent and hypotenuse sides. Use trigonometric ratios to calculate missing side lengths. Use trigonometric ratios to calculate missing angles. Select the correct trigonometric ratio for a problem. Use a calculator accurately when solving trigonometric problems. Apply trigonometry to solve real-life and geometric problems. Check solutions and interpret answers appropriately. Proportion Understand the meaning of ratio and proportion. Know the difference between direct and inverse proportion. Recognise proportional relationships in tables, graphs and equations. solve problems involving direct proportion. Solve problems involving inverse proportion. Calculate missing values using proportional reasoning. Apply proportion to real-life contexts Explain methods and justify answers using mathematical language.	Quadratics: Plotting, Factorising and Solving Understand that a quadratic expression contains a squared term. Recognise quadratic expressions, equations and graphs. Know that the graph of a quadratic is called a parabola. Plot quadratic graphs from tables of values. Identify key features of quadratic graphs, including roots, turning points and line of symmetry. Generate and use tables of values to plot quadratic functions accurately. Understand the relationship between factors and solutions of quadratic equations. Solve quadratic equations by factorising. Find and interpret the roots of quadratic equations from graphs. Explain mathematical reasoning using appropriate algebraic language.	Further Ratio Understand and interpret ratios expressed in different forms. Share amounts using ratios. Solve problems involving equivalent ratios. Apply ratios in real-life contexts. Solve multi-step ratio problems. Understand the relationship between ratio, fractions and proportion. Compound Units Understand that compound units combine two or more units of measurement. Know the formulas associated with compound measures. Calculate speed using distance and time. Calculate density using mass and volume. Rearrange formulas to find unknown quantities. Use appropriate units in calculations and answers. Convert between units where required. Solve real-life problems involving compound measures. Interpret and compare values expressed in compound units.	Probability Understand that probability measures the likelihood of an event occurring. Calculate and interpret probabilities using fractions, decimals and percentages. Use sample spaces and probability scales to identify possible outcomes. Compare theoretical and experimental probability to solve problems. Averages Understand the purpose of mean, median, mode and range. Calculate averages and measures of spread from data. Select the most appropriate average for different situations. Interpret and compare data using statistical measures. Cumulative Frequency and Box Plots Understand how cumulative frequency represents data. Construct and interpret cumulative frequency graphs. Identify the median, quartiles and interquartile range. Draw, interpret and compare box plots. Statistical Investigations Collect, organise and analyse data effectively. Plan and carry out statistical investigations. Interpret results and draw evidence-based conclusions. Evaluate the reliability and validity of data collected.
Assessment	End of Topic Learning Checkpoints will be used to assess pupils’ understanding of the topics taught this half term. These will be marked with feedback given to the class.	End of Topic Learning Checkpoints will be used to assess pupils’ understanding of the topics taught this half term. These will be marked with feedback given to the class.	End of Topic Learning Checkpoints will be used to assess pupils’ understanding of the topics taught this half term. These will be marked with feedback given to the class. There will also be a formal assessment based on everything covered so far this year. This will take place in Week 4.	End of Topic Learning Checkpoints will be used to assess pupils’ understanding of the topics taught this half term. These will be marked with feedback given to the class.	End of Topic Learning Checkpoints will be used to assess pupils’ understanding of the topics taught this half term. These will be marked with feedback given to the class. time.	End of Topic Learning Checkpoints will be used to assess pupils’ understanding of the topics taught this half term. These will be marked with feedback given to the class. There will also be a formal end of year assessment based on everything covered so far to check what has been understood and retained.
Key vocabulary	✓ Fraction ✓ Decimal ✓ Percentage ✓ Equivalent ✓ Place Value ✓ Tenths ✓ Hundredths ✓ Thousandths ✓ Numerator ✓ Denominator ✓ Convert ✓ Compare ✓ Order ✓ Part ✓ Whole ✓ Percentage Increase ✓ Percentage Decrease ✓ Equation ✓ Variable ✓ Expression ✓ Unknown ✓ Inverse Operation ✓ Equality ✓ Substitute ✓ Solution ✓ Simplify ✓ Calculate ✓ Operation ✓ Balance ✓ Solve ✓ Check ✓ Value	✓ Linear Graph ✓ Coordinate ✓ X-axis ✓ Y-axis ✓ Origin ✓ Plot ✓ Gradient ✓ Intercept ✓ Variable ✓ Relationship ✓ Scale ✓ Horizontal ✓ Vertical ✓ Axis ✓ Equation ✓ Straight Line ✓ Angle ✓ Acute ✓ Obtuse ✓ Right Angle ✓ Reflex ✓ Straight Line ✓ Vertices ✓ Vertex ✓ Edge ✓ Face ✓ Prism ✓ Cube ✓ Cuboid ✓ Pyramid ✓ Sphere ✓ Cone ✓ Cylinder ✓ Parallel ✓ Perpendicular ✓ Protractor ✓ Symmetry ✓ Interior Angle ✓ Exterior Angle	✓ Pythagoras' Theorem ✓ Right-Angled Triangle ✓ Hypotenuse ✓ Side Length ✓ Square Number ✓ Square Root ✓ Calculate ✓ Formula ✓ Length ✓ Distance ✓ Trigonometry ✓ Sine ✓ Cosine ✓ Tangent ✓ Opposite ✓ Adjacent ✓ Hypotenuse ✓ Ratio ✓ Angle ✓ Right-Angled Triangle ✓ Calculate ✓ Inverse ✓ Degrees ✓ Formula ✓ Length ✓ Relationship ✓ Variable ✓ Constant ✓ Multiplier ✓ Quantity	✓ Quadratic ✓ Expression ✓ Equation ✓ Function ✓ Graph ✓ Parabola ✓ Plot ✓ Coordinate ✓ Table of Values ✓ Factorise ✓ Factor ✓ Bracket ✓ Expand ✓ Solve ✓ Solution ✓ Root ✓ X-intercept ✓ Turning Point ✓ Maximum ✓ Minimum ✓ Axis of Symmetry ✓ Variable ✓ Coefficient ✓ Substitute ✓ Algebra ✓ Curve ✓ Vertex	✓ Compound Unit ✓ Speed ✓ Distance ✓ Time ✓ Density ✓ Mass ✓ Volume ✓ Pressure ✓ Formula ✓ Calculate ✓ Unit ✓ Conversion ✓ Measurement ✓ Ratio ✓ Equivalent Ratio ✓ Simplify ✓ Share ✓ Divide ✓ Proportion ✓ Fraction ✓ Quantity ✓ Compare ✓ Part ✓ Whole ✓ Total	✓ Probability ✓ Likelihood ✓ Outcome ✓ Event ✓ Sample Space ✓ Theoretical Probability ✓ Experimental Probability ✓ Random ✓ Mean ✓ Median ✓ Mode ✓ Range ✓ Average ✓ Data ✓ Frequency ✓ Distribution ✓ Cumulative Frequency ✓ Median ✓ Quartile ✓ Interquartile Range ✓ Box Plot ✓ Distribution ✓ Spread ✓ Outlier

Year 10 Foundation	Autumn 1	Autumn 2	Spring 1	Spring 2	Summer 1	Summer 2
About this unit	Decimals and Fractions, Percentages, solving Equations	Linear Graphs, Angles and 3D shapes	Pythagoras, Trigonometry and Proportion	Rounding, Estimation, Multiples and Primes	Laws of Indices, Ratio	Probability, Averages, Cumulative Frequency and Box Plots, Statistical Investigations
National Curriculum Links	This term covers a range of topics from the KS4 National curriculum, all relevant to the Foundation and Higher Specification GCSE.	This term covers a range of topics from the KS4 National curriculum, all relevant to the Foundation and Higher Specification GCSE.	This term covers a range of topics from the KS4 National curriculum, all relevant to the Foundation and Higher Specification GCSE.	This term covers a range of topics from the KS4 National curriculum, all relevant to the Foundation Specification GCSE	This term covers a range of topics from the KS4 National curriculum, all relevant to the Foundation Specification GCSE	This term covers a range of topics from the KS4 National curriculum, all relevant to the Foundation Specification GCSE
Knowledge and Key Skills	Decimals, Fractions and Percentages Understand the relationship between fractions, decimals and percentages. Know how place value applies to decimals, including tenths, hundredths and thousandths. Recognise and identify equivalent fractions, decimals and percentages. Convert between fractions, decimals and percentages. Compare and order fractions, decimals and percentages. Apply knowledge of fractions, decimals and percentages to solve real-life problems. Solving Equations Understand the meaning of an equation and the equals sign. Know that a variable represents an unknown value. Understand and use inverse operations to solve equations. Solve one-step and two-step equations. Simplify mathematical expressions where appropriate. Substitute values into equations to check solutions. Identify and calculate unknown values. Solve word problems involving equations. Explain and justify methods used when solving equations.	Linear Graphs Understand that linear graphs represent relationships between two variables. Know how to plot coordinates in all four quadrants. Read and interpret information from linear graphs. Draw linear graphs from given data or equations. Identify gradients and intercepts from linear graphs. Recognise and describe patterns and relationships shown on graphs. Solve problems using information presented in graphs. Explain findings using appropriate mathematical language. Angles and 3D Shapes Identify and classify different types of angles. Understand angle facts including angles on a straight line, around a point and within triangles and quadrilaterals. Use mathematical vocabulary to describe shapes and angles accurately. Apply knowledge of angle rules and shape properties to solve problems.	Pythagoras Understand that Pythagoras' Theorem applies to right-angled triangles. Know that the square of the hypotenuse is equal to the sum of the squares of the other two sides. Identify the hypotenuse in a right-angled triangle. Calculate the length of a missing side using Pythagoras' Theorem. Use square numbers and square roots accurately. Apply Pythagoras' Theorem to solve geometrical problems. Apply Pythagoras' Theorem in real-life contexts. Trigonometry Understand that trigonometry is used to find missing sides and angles in right-angled triangles. Know the sine, cosine and tangent ratios. Identify opposite, adjacent and hypotenuse sides. Use trigonometric ratios to calculate missing side lengths. Use trigonometric ratios to calculate missing angles. Select the correct trigonometric ratio for a problem. Use a calculator accurately when solving trigonometric problems. Apply trigonometry to solve real-life and geometric problems. Check solutions and interpret answers appropriately. Proportion Understand the meaning of ratio and proportion. Know the difference between direct and inverse proportion. Recognise proportional relationships in tables, graphs and equations. solve problems involving direct proportion. Solve problems involving inverse proportion. Calculate missing values using proportional reasoning. Apply proportion to real-life contexts Explain methods and justify answers using mathematical language.	Rounding Understand place value and the purpose of rounding numbers. Round whole numbers and decimals to a given degree of accuracy. Use rounding to check the reasonableness of answers. Apply rounding skills when solving mathematical problems. Estimation Understand how estimation can be used to predict and check answers. Use rounded numbers to estimate calculations. Calculate approximate answers for real-life and mathematical problems. Evaluate whether calculated answers are reasonable. Multiples and Primes Understand the meaning of multiples, factors and prime numbers. Identify multiples, factors and prime numbers. Find common factors, common multiples, HCF and LCM. Use prime factorisation to solve numerical problems.	Laws of Indices Understand and apply the laws of indices to simplify expressions. Multiply and divide powers with the same base. Use zero, negative and fractional indices correctly. Solve problems involving powers and standard form. Ratio Understand ratio as a way of comparing quantities. Simplify ratios and write them in their simplest form. Divide amounts into a given ratio. Solve problems involving ratio and proportion.	Probability Understand that probability measures the likelihood of an event occurring. Calculate and interpret probabilities using fractions, decimals and percentages. Use sample spaces and probability scales to identify possible outcomes. Compare theoretical and experimental probability to solve problems. Averages Understand the purpose of mean, median, mode and range. Calculate averages and measures of spread from data. Select the most appropriate average for different situations. Interpret and compare data using statistical measures. Cumulative Frequency and Box Plots Understand how cumulative frequency represents data. Construct and interpret cumulative frequency graphs. Identify the median, quartiles and interquartile range. Draw, interpret and compare box plots. Statistical Investigations Collect, organise and analyse data effectively. Plan and carry out statistical investigations. Interpret results and draw evidence-based conclusions. Evaluate the reliability and validity of data collected.
Assessment	End of Topic Learning Checkpoints will be used to assess pupils’ understanding of the topics taught this half term. These will be marked with feedback given to the class.	End of Topic Learning Checkpoints will be used to assess pupils’ understanding of the topics taught this half term. These will be marked with feedback given to the class.	End of Topic Learning Checkpoints will be used to assess pupils’ understanding of the topics taught this half term. These will be marked with feedback given to the class. There will also be a formal assessment based on everything covered so far this year. This will take place in Week 4.	End of Topic Learning Checkpoints will be used to assess pupils’ understanding of the topics taught this half term. These will be marked with feedback given to the class.	End of Topic Learning Checkpoints will be used to assess pupils’ understanding of the topics taught this half term. These will be marked with feedback given to the class. time.	End of Topic Learning Checkpoints will be used to assess pupils’ understanding of the topics taught this half term. These will be marked with feedback given to the class. There will also be a formal end of year assessment based on everything covered so far to check what has been understood and retained.
Key vocabulary	✓ Fraction ✓ Decimal ✓ Percentage ✓ Equivalent ✓ Place Value ✓ Tenths ✓ Hundredths ✓ Thousandths ✓ Numerator ✓ Denominator ✓ Convert ✓ Compare ✓ Order ✓ Part ✓ Whole ✓ Percentage Increase ✓ Percentage Decrease ✓ Equation ✓ Variable ✓ Expression ✓ Unknown ✓ Inverse Operation ✓ Equality ✓ Substitute ✓ Solution ✓ Simplify ✓ Calculate ✓ Operation ✓ Balance ✓ Solve ✓ Check ✓ Value	✓ Linear Graph ✓ Coordinate ✓ X-axis ✓ Y-axis ✓ Origin ✓ Plot ✓ Gradient ✓ Intercept ✓ Variable ✓ Relationship ✓ Scale ✓ Horizontal ✓ Vertical ✓ Axis ✓ Equation ✓ Straight Line ✓ Angle ✓ Acute ✓ Obtuse ✓ Right Angle ✓ Reflex ✓ Straight Line ✓ Vertices ✓ Vertex ✓ Edge ✓ Face ✓ Prism ✓ Cube ✓ Cuboid ✓ Pyramid ✓ Sphere ✓ Cone ✓ Cylinder ✓ Parallel ✓ Perpendicular ✓ Protractor ✓ Symmetry ✓ Interior Angle ✓ Exterior Angle	✓ Pythagoras' Theorem ✓ Right-Angled Triangle ✓ Hypotenuse ✓ Side Length ✓ Square Number ✓ Square Root ✓ Calculate ✓ Formula ✓ Length ✓ Distance ✓ Trigonometry ✓ Sine ✓ Cosine ✓ Tangent ✓ Opposite ✓ Adjacent ✓ Hypotenuse ✓ Ratio ✓ Angle ✓ Right-Angled Triangle ✓ Calculate ✓ Inverse ✓ Degrees ✓ Formula ✓ Length ✓ Relationship ✓ Variable ✓ Constant ✓ Multiplier ✓ Quantity	✓ Round ✓ Place Value ✓ Decimal ✓ Estimate ✓ Accuracy ✓ Significant Figure ✓ Nearest ✓ Approximation ✓ Estimate ✓ Approximation ✓ Calculation ✓ Reasonable ✓ Accuracy ✓ Rounding ✓ Prediction ✓ Check ✓ Multiple ✓ Factor ✓ Prime Number ✓ Composite Number ✓ Common Factor ✓ Common Multiple ✓ HCF ✓ LCM	✓ Index ✓ Indices ✓ Power ✓ Exponent ✓ Base ✓ Square ✓ Cube ✓ Ratio ✓ Proportion ✓ Compare ✓ Simplify ✓ Share ✓ Quantity ✓ Equivalent Ratio	✓ Probability ✓ Likelihood ✓ Outcome ✓ Event ✓ Sample Space ✓ Theoretical Probability ✓ Experimental Probability ✓ Random ✓ Mean ✓ Median ✓ Mode ✓ Range ✓ Average ✓ Data ✓ Frequency ✓ Distribution ✓ Cumulative Frequency ✓ Median ✓ Quartile ✓ Interquartile Range ✓ Box Plot ✓ Distribution ✓ Spread ✓ Outlier

Year 11 Foundation	Autumn 1	Autumn 2	Spring 1	Spring 2	Summer 1	Summer 2
About this unit	Circles, Angles, Solving Equations, Trigonometry and Pythagoras	Standard Form, Similarity and Congruence, Vectors	Types of Graphs, Error Intervals and Rounding, Factors and Primes	Sequences, Inequalities, constructions and Loci, Bearings	There is a bigger focus on Past Papers and Key topics in this term with exams starting. Bespoke Mock to Exam SoL begins.	Exam Season
National Curriculum Links	This term covers a range of topics from the KS4 National curriculum, all relevant to the Foundation Specification GCSE	This term covers a range of topics from the KS4 National curriculum, all relevant to the Foundation Specification GCSE	This term covers a range of topics from the KS4 National curriculum, all relevant to the Foundation Specification GCSE	This term covers a range of topics from the KS4 National curriculum, all relevant to the Foundation Specification GCSE	All topics covered will link with the National Curriculum for KS4 and cross referenced with the Foundation Specification	All topics covered will link with the National Curriculum for KS4 and cross referenced with the Foundation Specification
Knowledge and Key Skills	Circles Understand the properties and parts of a circle. Calculate circumference and area using the correct formulae. Identify and use radius, diameter and chord relationships. Solve problems involving circles in mathematical and real-life contexts. Angles Identify and classify different types of angles. Use angle facts to calculate missing angles. Apply angle rules for parallel lines and polygons. Solve geometric problems involving angles and reasoning. Solving Equations Understand the meaning of equations and variables. Use inverse operations to solve equations. Solve one-step and two-step equations accurately. Check solutions by substituting values into equations. Trigonometry Understand and use sine, cosine and tangent ratios. Identify opposite, adjacent and hypotenuse sides. Calculate missing sides in right-angled triangles. Calculate missing angles using trigonometric ratios. Pythagoras Knowledge and Key Skills Understand and apply Pythagoras' Theorem in right-angled triangles. Identify the hypotenuse and other sides correctly. Calculate missing side lengths using the theorem. Solve geometrical and real-life problems involving distance and length.	Standard Form Understand standard form as a way of writing very large or very small numbers. Convert numbers between ordinary form and standard form. Perform calculations involving numbers in standard form. Apply standard form in scientific and mathematical contexts Similarity and Congruence Understand the difference between similar and congruent shapes. Identify corresponding sides and angles in similar and congruent shapes. Use scale factors to solve problems involving similarity. Apply congruence and similarity knowledge to geometric reasoning and calculations. Vectors Understand vectors as quantities with both magnitude and direction. Represent and describe vectors using correct notation. Add and subtract vectors. Solve geometric problems involving vectors and vector routes.	Types of Graphs Understand the purpose of different types of graphs and charts. Select the most appropriate graph to represent data. Interpret and compare information presented in graphs. Draw and label graphs accurately using appropriate scales. Error Intervals and Rounding Understand how rounding affects the accuracy of a value. Round numbers to a given number of decimal places or significant figures. Determine upper and lower bounds from rounded values. Use error intervals to solve mathematical problems and interpret results. Factors and Primes Understand the meaning of factors, multiples and prime numbers. Identify prime, composite and square numbers. Find common factors, common multiples, HCF and LCM. Use prime factorisation to solve numerical problems.	Sequences Understand that a sequence is an ordered list of numbers following a rule. Identify and continue linear and non-linear sequences. Find the nth term of linear sequences. Solve problems involving patterns and sequences. Inequalities Understand and interpret inequality symbols. Solve simple inequalities using inverse operations. Represent solutions on a number line. Apply inequalities to solve mathematical problems. Constructions and Loci Use a ruler and compass to perform accurate constructions. Construct perpendicular bisectors, angle bisectors and triangles. Understand loci as paths formed under given conditions. Solve problems involving constructions and loci. Bearings Understand bearings as directions measured clockwise from north. Read and write three-figure bearings accurately. Use scale drawings and diagrams to determine bearings. Solve navigation and geometry problems involving bearings.	Exam technique will be a focus in this term along with ways to break down longer questions and use the skills previously taught.	Exam technique will be a focus in this term along with ways to break down longer questions and use the skills previously taught.
Assessment	Fortnightly Assessments to assess topics that have been taught and key skills.	Mock Assessments Fortnightly Assessments to assess topics that have been taught and key skills.	Fortnightly Assessments to assess topics that have been taught and key skills.	Mock Assessments Fortnightly Assessments to assess topics that have been taught and key skills.
Key vocabulary	✓ Circle ✓ Radius ✓ Diameter ✓ Circumference ✓ Area ✓ Chord ✓ Arc ✓ Pi (π) ✓ Angle ✓ Acute ✓ Obtuse ✓ Reflex ✓ Right Angle ✓ Parallel ✓ Perpendicular ✓ Interior Angle ✓ Equation ✓ Variable ✓ Expression ✓ Unknown ✓ Inverse Operation ✓ Substitute ✓ Solution ✓ Equality ✓ Pythagoras' Theorem ✓ Right-Angled Triangle ✓ Hypotenuse ✓ Square Number ✓ Square Root ✓ Length ✓ Distance ✓ Formula	✓ Standard Form ✓ Power ✓ Index ✓ Exponent ✓ Multiply ✓ Decimal ✓ Significant Figures ✓ Ordinary Number ✓ Similarity ✓ Congruence ✓ Scale Factor ✓ Corresponding ✓ Enlargement ✓ Ratio ✓ Length ✓ Angle ✓ Vector ✓ Magnitude ✓ Direction ✓ Position Vector ✓ Column Vector ✓ Parallel ✓ Translation ✓ Route	✓ Bar Chart ✓ Line Graph ✓ Pie Chart ✓ Scatter Graph ✓ Frequency Diagram ✓ Axis ✓ Scale ✓ Data ✓ Error Interval ✓ Upper Bound ✓ Lower Bound ✓ Rounding ✓ Decimal Place ✓ Significant Figure ✓ Accuracy ✓ Approximation Factor ✓ Multiple ✓ Prime Number ✓ Composite Number ✓ Prime Factorisation ✓ HCF ✓ LCM ✓ Square Number	✓ Sequence ✓ Term ✓ Pattern ✓ Linear ✓ Non-linear ✓ Nth Term ✓ Rule ✓ Difference ✓ Construction ✓ Locus ✓ Compass ✓ Ruler ✓ Perpendicular Bisector ✓ Angle Bisector ✓ Arc ✓ Equidistant ✓ Bearing ✓ North ✓ Clockwise ✓ Direction ✓ Angle ✓ Compass ✓ Scale Drawing ✓ Navigation

Year 11 Higher	Autumn 1	Autumn 2	Spring 1	Spring 2	Summer 1	Summer 2
About this unit	Algebraic Fractions, Iterative Processes	Non Right-Angled Trigonometry, Functions	Vectors, Including proofs	Product Rule for counting, constructions and Loci, Bearings	There is a bigger focus on Past Papers and Key topics in this term with exams starting. Bespoke Mock to Exam SoL begins.	Exam Season
National Curriculum Links	This term covers a range of topics from the KS4 National curriculum, all relevant to the Higher Specification GCSE	This term covers a range of topics from the KS4 National curriculum, all relevant to the Higher Specification GCSE	This term covers a range of topics from the KS4 National curriculum, all relevant to the Higher Specification GCSE	This term covers a range of topics from the KS4 National curriculum, all relevant to the Higher Specification GCSE	All topics covered will link with the National Curriculum for KS4 and cross referenced with the Higher Specification	All topics covered will link with the National Curriculum for KS4 and cross referenced with the Higher Specification
Knowledge and Key Skills	Algebraic Fractions Understand algebraic fractions and how they are similar to numerical fractions. Simplify algebraic fractions by cancelling common factors. Perform calculations involving algebraic fractions. Solve equations and problems involving algebraic fractions. Iterative Processes Understand iteration as a method of finding approximate solutions. Use an iterative formula to generate successive values. Apply iterative methods to solve equations. Interpret and evaluate the accuracy of iterative solutions.	Non-Right-Angled Trigonometry Understand that the Sine Rule and Cosine Rule can be used with non-right-angled triangles. Identify when to apply the Sine Rule or Cosine Rule. Calculate missing sides and angles in non-right-angled triangles. Solve geometric and real-life problems using trigonometric methods. Functions Understand a function as a rule that maps inputs to outputs. Use function notation and substitute values into functions. Evaluate and interpret function machines and algebraic functions. Solve problems involving functions and inverse functions.	Vectors, Including Proofs Understand vectors as quantities with both magnitude and direction. Add, subtract and multiply vectors by scalars using correct vector notation. Use vectors to solve geometric problems and describe routes and transformations. Construct and complete vector proofs using logical mathematical reasoning.	Product Rule for Counting Understand the product rule as a method for counting the total number of possible outcomes. Identify situations where multiple choices or stages are involved. Apply the product rule to calculate the number of possible combinations and arrangements. Solve counting and probability problems using systematic methods and reasoning. Constructions and Loci Use a ruler and compass to perform accurate constructions. Construct perpendicular bisectors, angle bisectors and triangles. Understand loci as paths formed under given conditions. Solve problems involving constructions and loci. Bearings Understand bearings as directions measured clockwise from north. Read and write three-figure bearings accurately. Use scale drawings and diagrams to determine bearings. Solve navigation and geometry problems involving bearings.	Exam technique will be a focus in this term along with ways to break down longer questions and use the skills previously taught.	Exam technique will be a focus in this term along with ways to break down longer questions and use the skills previously taught.
Assessment	Fortnightly Assessments to assess topics that have been taught and key skills.	Mock Assessments Fortnightly Assessments to assess topics that have been taught and key skills.	Fortnightly Assessments to assess topics that have been taught and key skills.	Mock Assessments Fortnightly Assessments to assess topics that have been taught and key skills.
Key vocabulary	✓ Algebraic Fraction ✓ Numerator ✓ Denominator ✓ Factor ✓ Simplify ✓ Expression ✓ Variable ✓ Iteration ✓ Iterative Process ✓ Formula ✓ Approximation ✓ Value ✓ Solution ✓ Sequence ✓ Accuracy	✓ Sine Rule ✓ Cosine Rule ✓ Triangle ✓ Angle ✓ Side Length ✓ Trigonometry ✓ Calculate ✓ Formula ✓ Function ✓ Function Notation ✓ Input ✓ Output ✓ Mapping ✓ Inverse Function ✓ Substitute ✓ Variable	✓ Vector ✓ Magnitude ✓ Direction ✓ Column Vector ✓ Position Vector ✓ Scalar ✓ Parallel ✓ Proof	✓ Product Rule ✓ Counting ✓ Outcome ✓ Combination ✓ Arrangement ✓ Possibility ✓ Event ✓ Sample Space ✓ Construction ✓ Locus (Loci) ✓ Compass ✓ Ruler ✓ Perpendicular Bisector ✓ Angle Bisector ✓ Perpendicular ✓ Arc