To develop confident and independent mathematicians, able to reason and think logically

Maths intents

Study topic  Knowledge and skills  Assessment  How to support your child 
Analysing and Displaying Data (9 hours)  Students will develop their skills in analysing and interpreting data. They will use a variety of graphs and charts and will begin to compare results using averages and the range.  Unit Review – halfway through to check understanding Unit CheckUp – at the end of the unit. Unit Test Strengthen/Extend task  General: Discuss with your child the use of graphs in the media. How do newspapers/companies use graphs and charts to display data to their own advantage. Create timespecific tasks for your child, where they have to manage their time effectively to complete the tasks. Ask your child to add up the shopping as you go along in the trolley, discuss the different offers and which would save money. Homework and topic support: Useful websites; Vle.mathswatch.com www.drfrostmaths.com www.corbettmaths.com www.bbc.co.uk/bitesize/ www.hegartymaths.com MathsWatch: Video clips on every topic within KS3/4 with interactive questions that are differentiated. The clips have two versions; a full indepth explanation and a oneminute version. DrFrostMaths: Useful for stretch and challenge, topics are split into 4 difficulty levels, with level 4 being incredibly challenging. A bank of over 40000 interactive questions to try. 
Number Skills (8 hours)  Students will recall and extend their number skills learnt in KS2 and will be introduced to new, efficient methods. Students will link their knowledge of money and time in real life to their new skills and methods. They will secure their knowledge of special types of numbers.  Unit Review – halfway through to check understanding Unit CheckUp – at the end of the unit. Unit Test Strengthen/Extend task  
Expressions, Functions and Formulae (9 hours)  Students will be introduced to the key algebraic concepts of simplification, substitution and expressions. Students will be able to apply these concepts to many real life situations and see the importance of algebraic notation.  Unit Review – halfway through to check understanding Unit CheckUp – at the end of the unit. Unit Test Strengthen/Extend task T1 – Units 13  
Decimals and Measures (11 hours)  Students will learn how to convert between metric units of measurement for length, mass and capacity. They will also be introduced to some useful imperial units and how to convert between them. They will then master how to work with decimals using all four operations, linking this to many real life situations, currency etc. They will then apply both of these skills to look at area and perimeter of rectilinear shapes, understanding the need for converting units of measurement and being able to work with the decimals calculations needed.  Unit Review – halfway through to check understanding Unit CheckUp – at the end of the unit. (Optional) – Unit Test Strengthen/Extend task 
Fractions and Percentages (9 hours)  In this unit, we introduce fractions in their many forms and how they link closely to decimals. Understanding how a fraction of an amount can be used in a real life context, and then applying this to percentages. Students will learn how to quickly and efficiently work with percentages.  Unit Review – halfway through to check understanding Unit CheckUp – at the end of the unit. (Optional) – Unit Test Strengthen/Extend task  Homework and topic support: Useful websites; Vle.mathswatch.com www.drfrostmaths.com www.corbettmaths.com www.bbc.co.uk/bitesize/ MathsWatch: Video clips on every topic within KS3/4 with interactive questions that are differentiated. The clips have two versions; a full indepth explanation and a oneminute version. DrFrostMaths: Useful for stretch and challenge, topics are split into 4 difficulty levels, with level 4 being incredibly challenging. A bank of over 40000 interactive questions to try. 
Probability (8 hours)  Students will learn the language of probability and how words such as likely, unlikely and certain can be transformed into a number. These numbers will be all fractions, decimals and percentages following on from the previous unit.  Unit Review – halfway through to check understanding Unit CheckUp – at the end of the unit. (Optional) – Unit Test Strengthen/Extend task  
Ratio and Proportion (9 hours)  A very important life skill will be introduced in this unit – value for money. Linking it very closely to real life, students will learn how to calculate which offer is the best value for money. We will then link this to recipe questions by bringing in the idea of ratio. A ratio can then be simplified and used in similar ways to fractions, decimals and percentages.  Unit Review – halfway through to check understanding Unit CheckUp – at the end of the unit. (Optional) – Unit Test Strengthen/Extend task  
Lines and Angles (10 hours)  After a lot of number work, the students will now move on to geometry, and more specifically the idea of angles in their many forms. Students will be able to identify and draw angles, learn angle facts that then can be applied to different problems and then be able to link missing angle problems to their algebra knowledge from earlier on in the year.  Unit Review – halfway through to check understanding Unit CheckUp – at the end of the unit. (Optional) – Unit Test Strengthen/Extend task 
Sequences and Graphs (9 hours)  Students will learn the importance of sequences and being able to spot patterns in real life. We will link it all to real life situations and help them understand sequences in context. Students will then connect this learning to coordinates and straight line graphs, understanding that a straight line graph is an infinite sequence of coordinates.  Unit Review – halfway through to check understanding Unit CheckUp – at the end of the unit. (Optional) – Unit Test Strengthen/Extend task  General: Homework and topic support: Useful websites; Vle.mathswatch.com www.drfrostmaths.com www.corbettmaths.com www.bbc.co.uk/bitesize/ MathsWatch: Video clips on every topic within KS3/4 with interactive questions that are differentiated. The clips have two versions; a full indepth explanation and a oneminute version. DrFrostMaths: Useful for stretch and challenge, topics are split into 4 difficulty levels, with level 4 being incredibly challenging. A bank of over 40000 interactive questions to try. 
Transformations (10 hours)  Students will be introduced to the idea of the main transformations we use in mathematics, how to both construct and identify reflection, rotation and translation.  Unit Review – halfway through to check understanding Unit CheckUp – at the end of the unit. (Optional) – Unit Test Strengthen/Extend task 
Study topic  Knowledge and skills  Assessment  How to support your child 
Number (14 hours)  Students start Year 8 with a recap of the fundamental basics of number – times tables, multiplication, division, addition and subtraction. We will then introduce them to rules of divisibility to see quickly a number is divisible by a certain number. We will then look at the order of operations in mathematics, the fundamental laws that bind all calculations involving brackets and indices.  Unit Review – halfway through to check understanding Unit CheckUp – at the end of the unit. (Optional) – Unit Test Strengthen/Extend task  General: Homework and topic support: Useful websites; Vle.mathswatch.com www.drfrostmaths.com www.corbettmaths.com www.bbc.co.uk/bitesize/ MathsWatch: Video clips on every topic within KS3/4 with interactive questions that are differentiated. The clips have two versions; a full indepth explanation and a oneminute version. DrFrostMaths: Useful for stretch and challenge, topics are split into 4 difficulty levels, with level 4 being incredibly challenging. A bank of over 40000 interactive questions to try 
Statistics, Graphs and Charts (10 hours)  With their knowledge of data from Year 7, students will learn how to draw and interpret graphs and charts that provide us with more clarity and information. These graphs will then allow students to start to compare and contrast different data sets by how they interact within certain graphical representations.  Unit Review – halfway through to check understanding Unit CheckUp – at the end of the unit. (Optional) – Unit Test Strengthen/Extend task  
Expressions and Equations (10 hours)  Students will build on their algebra knowledge from Year 7 and apply this to more complex situation like solving equations and substituting into expressions. They will be exposed to several reallife formulae that are used every day in the scientific community to calculate everything from temperature to displacement of particles  Unit Review – halfway through to check understanding Unit CheckUp – at the end of the unit. (Optional) – Unit Test Strengthen/Extend task 
Real Life Graphs (9 hours)  In this unit we will work with graphs that businesses, governments and statisticians use every single day and discuss the importance of displaying our data correctly and not misleading the audience. We will look at journey graphs, that allow us to work out speed, distance and time. Students will use conversion graphs to help them with currency and metricimperial changes. We will then start to look at curved graphs, specifically quadratic graphs that have many real world applications like throwing objects, etc.  Unit Review – halfway through to check understanding Unit CheckUp – at the end of the unit. (Optional) – Unit Test Strengthen/Extend task  General: Homework and topic support: Useful websites; Vle.mathswatch.com www.drfrostmaths.com www.corbettmaths.com www.bbc.co.uk/bitesize/ MathsWatch: Video clips on every topic within KS3/4 with interactive questions that are differentiated. The clips have two versions; a full indepth explanation and a oneminute version. DrFrostMaths: Useful for stretch and challenge, topics are split into 4 difficulty levels, with level 4 being incredibly challenging. A bank of over 40000 interactive questions to try. 
Decimals and Ratio (10 hours)  Students start with a recap of the decimals unit from Year 7, then extend their knowledge by linking it to ratio. Using the methods already learned with sharing and simplifying ratios, the students will now use decimals in their calculations.  Unit Review – halfway through to check understanding Unit CheckUp – at the end of the unit. (Optional) – Unit Test Strengthen/Extend tas  
Lines and Angles (7 hours)  Students will learn the important properties of quadrilaterals and associated angle facts. They will then move on to the more complex angle facts relating to parallel lines and learn to build up their understanding of geometric proof. Students will then apply their angle knowledge to any polygon, looking at laws of interior and exterior angles.  Unit Review – halfway through to check understanding Unit CheckUp – at the end of the unit. (Optional) – Unit Test Strengthen/Extend task  
Calculating with Fractions (7 hours)  Students will build on their knowledge of fractions to work with more complex numbers, understanding the key term reciprocal. They will then apply all their skills to operations with mixed numbers and improper fractions.  Unit Review – halfway through to check understanding Unit CheckUp – at the end of the unit. (Optional) – Unit Test Strengthen/Extend task 
Straight Line Graphs (8 hours)  Students will understand the concept of proportion in relation to graphs, knowing that if two things are in direct proportion the graph will become a straight line. They will then delve deeper into the meaning of a straight line, the gradient and the yintercept. They will then link the equation of a line to their knowledge of sequences and equations from previous units.  Unit Review – halfway through to check understanding Unit CheckUp – at the end of the unit. (Optional) – Unit Test Strengthen/Extend task  General: Homework and topic support: Useful websites; Vle.mathswatch.com www.drfrostmaths.com www.corbettmaths.com www.bbc.co.uk/bitesize/ MathsWatch: Video clips on every topic within KS3/4 with interactive questions that are differentiated. The clips have two versions; a full indepth explanation and a oneminute version. DrFrostMaths: Useful for stretch and challenge, topics are split into 4 difficulty levels, with level 4 being incredibly challenging. A bank of over 40000 interactive questions to try. 
Percentages, Decimals and Fractions (9 hours)  In this unit students will understand the concept of a recurring decimal and be able to express them as a fraction. They will then be able to compare any type of fraction, decimal and percentage including recurring decimals. The students will then delve deeper into percentages, understanding how to increase or decrease by a certain percentage both with and without a calculator.  Unit Review – halfway through to check understanding Unit CheckUp – at the end of the unit. (Optional) – Unit Test Strengthen/Extend task 
Study topic  Knowledge and skills  Assessment  How to support your child 
Indices and Standard Form (7 hours)  In this unit students will develop their prior knowledge of indices by learning some important index laws that allow us to multiply and divide indices. We will extend this into looking at changing the base of a number before calculating with them. The students will then link their knowledge of indices to looking at powers of 10, learning the many prefixes we use before a measurement to denote the different sizes and how this links to scientific notation or as we call it in maths Standard Form  Unit Review – halfway through to check understanding Unit CheckUp – at the end of the unit. (Optional) – Unit Test Strengthen/Extend task  General: Homework and topic support: Useful websites; Vle.mathswatch.com www.drfrostmaths.com www.corbettmaths.com www.bbc.co.uk/bitesize/ MathsWatch: Video clips on every topic within KS3/4 with interactive questions that are differentiated. The clips have two versions; a full indepth explanation and a oneminute version. DrFrostMaths: Useful for stretch and challenge, topics are split into 4 difficulty levels, with level 4 being incredibly challenging. A bank of over 40000 interactive questions to try. 
Expressions and Formulae (8 hours)  Students will start to solve more complex multistep equations including with brackets. They will then practice their substitution skills with some more complex expressions and formulae. Students will learn how to write formulae and then be able to manipulate them to rearrange the subject of the formula. To finish the unit we will look at expanding and factorising sets of brackets.  Unit Review – halfway through to check understanding Unit CheckUp – at the end of the unit. (Optional) – Unit Test Strengthen/Extend task  
Dealing with Data – Averages (10 hours)  This is a fantastic unit to prepare students for real life. It focuses on data collection and representation, and the most effective ways of doing this. Understanding the importance of good questions and structured data collection to ensure a project is done properly. They will then learn to be evaluate their data using complex measures of average and spread.  Unit Review – halfway through to check understanding Unit CheckUp – at the end of the unit. (Optional) – Unit Test Strengthen/Extend task  
Multiplicative Reasoning (9 hours)  This unit allows students to understand that some mathematical processes cover a wide range of topics. The idea of a common ratio, multiplier or scale factor can be used to help enlarge shapes and coordinates, understand complex percentage changes and help calculate compound measures. Students will look at the ideas of speed, density and pressure and all the calculations involved.  Unit Review – halfway through to check understanding Unit CheckUp – at the end of the unit. (Optional) – Unit Test Strengthen/Extend task 
Constructions (9 hours)  Usng all the skills they have developed in Year 7 and 8 the students will start to able to accurately construct mathematical shapes using the correct equipment, an invaluable skill for many industries. The students will look at the criteria needed to be able to construct accurate shapes and identify when shapes have been incorrectly drawn.  Unit Review – halfway through to check understanding Unit CheckUp – at the end of the unit. (Optional) – Unit Test Strengthen/Extend task  General: Homework and topic support: Useful websites; Vle.mathswatch.com www.drfrostmaths.com www.corbettmaths.com www.bbc.co.uk/bitesize/ MathsWatch: Video clips on every topic within KS3/4 with interactive questions that are differentiated. The clips have two versions; a full indepth explanation and a oneminute version. DrFrostMaths: Useful for stretch and challenge, topics are split into 4 difficulty levels, with level 4 being incredibly challenging. A bank of over 40000 interactive questions to try. 
Sequences, Inequalities, Equations and Proportion (8 hours)  In this unit, students will build on their knowledge of sequences by looking at more complex patterns of numbers, including quadratic and geometric sequences. We will then introduce the students to the concept of inequalities, and how they can affect the reliability of calculations. Students will then revisit equations and be able to solve any type of equations involving fractions and indices. Students will then start to understand the concept of a constant of proportionality.  Unit Review – halfway through to check understanding Unit CheckUp – at the end of the unit. (Optional) – Unit Test Strengthen/Extend task  
Circles, Pythagoras and Prisms (7 hours)  To round of their ability to work with area and perimeter, the students will work with circles and the idea of the irrational number pi. We will then start to look at 3D shapes that need the use of pi to work out surface area and volume. The students will then be introduced to Pythagoras’ Theorem and how this relates to rightangled triangles.  Unit Review – halfway through to check understanding Unit CheckUp – at the end of the unit. (Optional) – Unit Test Strengthen/Extend task  
Graphs (9 hours)  After learning the basics of straight line graphs in Year 8, students will now learn to fully understand each minute detail of a linear graph and how to interpret them. They will then start to learn about simultaneous equations graphically and how we can prove that only a single solution occurs for a set of two linear simultaneous equations. We will also look in more detail at quadratic graphs and the various features.  Unit Review – halfway through to check understanding Unit CheckUp – at the end of the unit. (Optional) – Unit Test Strengthen/Extend task 
Probability (9 hours)  Students will build on their probability knowledge from Year 7 and 8 and start to look at some of the fundamental probability laws, for example the idea of mutually exclusive events. We will then start to look at how to efficiently display the total number of outcomes in an experiment using sample space diagrams. Venn Diagrams will then be introduced and the probability calculations that go with them.  Unit Review – halfway through to check understanding Unit CheckUp – at the end of the unit. (Optional) – Unit Test Strengthen/Extend task  General: Homework and topic support: Useful websites; Vle.mathswatch.com www.drfrostmaths.com www.corbettmaths.com www.bbc.co.uk/bitesize/ MathsWatch: Video clips on every topic within KS3/4 with interactive questions that are differentiated. The clips have two versions; a full indepth explanation and a oneminute version. DrFrostMaths: Useful for stretch and challenge, topics are split into 4 difficulty levels, with level 4 being incredibly challenging. A bank of over 40000 interactive questions to try. 
Comparing Shapes (13 hours)  For the final unit, the students will be introduced to the concepts of congruence and similarity within shapes, and learn the various criteria needed for shapes to be congruent. This will then be linked to the large area of maths that is Trigonometry, understanding that it is about the ratio of the sides of the triangles in relation to the angles.  Unit Review – halfway through to check understanding Unit CheckUp – at the end of the unit. (Optional) – Unit Test Strengthen/Extend task 
The course covers the following content headings:
Foundation Tier  Approx weighting  Higher  Approx weighting 

Number  25%  Number  15% 
Algebra  20%  Algebra  30% 
Ratio and proportion  25%  Ratio and proportion  20% 
Geometry and measures  15%  Geometry and measures  20% 
Statistics and Probability  15%  Statistics and Probability  15% 
A – Integers and place value
B – Decimals
C – Indices, powers and roots
D – Factors, multiples and primes
A – Algebra: the basics
B – Expanding and factorising single brackets
C – Expressions and substitution into formulae
A – Tables
B – Charts and graphs
C – Pie charts
D – Scatter graphs
A – Fractions
B – Fractions, decimals and percentages
C – Percentages
A – Equations
B – Inequalities
C – Sequences
A – Properties of shapes, parallel lines and angle facts
B – Interior and exterior angles of polygons
A – Statistics and sampling
B – The averages
A – Perimeter and area
B – 3D forms and volume
A – Reallife graphs
B – Straightline graphs
A – Transformations I: translations, rotations and reflections
B – Transformations II: enlargements and combinations
A – Ratio
B – Proportion
Rightangled triangles: Pythagoras and trigonometry
A – Probability I
B – Probability II
Multiplicative reasoning
A – Plans and elevations
B – Constructions, loci and bearings
A – Quadratic equations: expanding and factorising
B – Quadratic equations: graphs
Circles, cylinders, cones and spheres
A – Fractions and reciprocals
B – Indices and standard form
A – Similarity and congruence in 2D
B – Vectors
Rearranging equations, graphs of cubic and reciprocal functions and simultaneous equations
A – Calculations, checking and rounding
B – Indices, roots, reciprocals and hierarchy of operations
C – Factors, multiples and primes
D – Standard form and surds
A – Algebra: the basics
B – Setting up, rearranging and solving equations
C – Sequences
A – Averages and range
B – Representing and interpreting data
C – Scatter graphs
A – Fractions
B – Percentages
C – Ratio and proportion
A – Polygons, angles and parallel lines
B – Pythagoras’ Theorem and trigonometry
A – Graphs: the basics and reallife graphs
B – Linear graphs and coordinate geometry
C – Quadratic, cubic and other graphs
A – Perimeter, area and circles
B – 3D forms and volume, cylinders, cones and spheres
C – Accuracy and bounds
A – Transformations
B – Constructions, loci and bearings
A – Solving quadratic and simultaneous equations
B – Inequalities
Probability
Multiplicative reasoning
Similarity and congruence in 2D and 3D
A – Graphs of trigonometric functions
B – Further trigonometry
A – Collecting data
B – Cumulative frequency, box plots and histograms
Quadratics, expanding more than two brackets, sketching graphs, graphs of circles, cubes and quadratics
A – Circle theorems
B – Circle geometry
Changing the subject of formulae (more complex), algebraic fractions, solving equations arising from algebraic fractions, rationalising surds, proof
Vectors and geometric proof
A – Reciprocal and exponential graphs; Gradient and area under graphs
B – Direct and inverse proportion

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