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# Mathematics

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### Curriculum Intent

The maths department are aware of the specific issues that children have with Maths and we have designed a curriculum that addresses those issues. The intent of the maths curriculum is to inspire and challenge students of all abilities and backgrounds and to prepare them for the next stage of maths education. We want our students to learn how maths is used everywhere in the outside world.

#### PROGRAMME OF STUDY OVERVIEWS

 YEAR GROUP TERM 1 TERM 2 TERM 3 TERM 4 TERM 5 TERM 6 7 Place value Fractions, decimals and percentages Ratio Four operations with any value including negative understanding Add and subtract Fractions, Fraction and percentage of amounts, Sequences Algebraic notation, equality and equivalences. Area and Perimeter, Constructing, measuring and geometric reasoning Developing number sense, sets and probability, prime numbers. 8 Ratio and scale, multiplicative change, multiply and divide fractions The Cartesian plane, representing data, tables and probability Brackets, equations and inequalities, sequences, indices. Fractions and percentages, standard index form, number reasoning Angles in parallel lines and polygons, Area of complex shapes, symmetry and reflection. Data handling cycle and measures of location. 9 Straight line graphs, forming and solving equations, testing conjectures. Three dimensional shapes, construction and congruency Number reasoning, using percentages, money maths. Geometric deduction, rotation and translation, Pythagoras’ theorem Enlargement and similarity, ratio and proportion problems, rates of change. Solving problems using graphs and tables, probability, algebraic representation 10 Number revisions, representing solutions of equations and inequalities Simultaneous equations, congruency, similarity and enlargements, trigonometry. Ratios and fractions, percentages and interest, probability Angles and bearings, circles, vectors. Collecting representing and interpreting data Non-calculator methods, types of number and sequences, indices and roots. 11 Numerical understanding, proportional reasoning. Algebraic reasoning, geometric reasoning. Types of numbers, fractions and percentages, averages Ratio and fraction context problems, geometric reasoning, algebraic reasoning. Probability, representing data, exam preparation Exams

#### Curriculum Implementation

Prior knowledge is revisited regularly throughout the curriculum through starter activities, home learning and assessments in the classroom. End of topic tests and examinations all include a section of revisited work to assess the impact of re-visit activities and to identify gaps in students’ knowledge. These gaps are then addressed with individual students through a range of interventions. These include high-quality PIT tasks, small group/individual help and support, and online resources such as the Pixl Timestable app and Mathsgenie. Timestables are essential to many aspects of Maths and having a good grasp of this is essential. These are practised regularly in both key stages. We are embracing technology to help students learn Maths in a different way. As well as the Pixl Timestable app, we are a member of Mathswhizz, which caters to the individual learning needs and pace of learning for each student.

We also believe that parental engagement is vital in ensuring pupil progress. As a result, we regularly contact home to praise students who have made excellent progress in a particular area, as well as contacting parents/carers with information regarding work that students can do at home to fill gaps and improve their progress if they are not yet meeting or exceeding targets.

We have weekly after school revision sessions for Year 11, which focus on challenging topics and the topics that students traditionally do poorest on. We also run daily intervention sessions during worship time

Helping students to develop a growth mindset through teacher modelling, language, and feedback is another way that we help students to develop the attitude and skills for success.

#### Curriculum Learning Plan

Faculty/Subject: Mathematics
Completed by: Mark Ravenwood

Please outline below what content you deliver to each Year group, and summarise under table headings key information. Please use one box per unit (do not feel that you have to complete all four boxed for a term and also please add extra boxes if needed. Any issues please contact rdavies@archbishops.kent.sch.uk

### Year 7:

 TERM 1 Unit of study (length of study) Brief summary of what is covered. What skills does it utilise? How does is link to previous learning/prepare for future learning. How is it assessed? Working with Whole Numbers (6 Hours) N2.1 Whole numbers N1.1 Adding and subtracting whole numbers N7.1 Multiples N3.1 Rounding to the nearest 10 or 100 N1.2 Multiplying whole numbers N2.2 Writing and ordering decimals N2.3 Multiplying and dividing by powers of 10 N7.2 Factors, primes and powers N3.2 Rounding larger numbers N1 Calculating N2 Using our number system N3 Accuracy N7 Number properties Revision of KS2 curriculum. Preparation for baseline assessment. Mixed groupings – opportunity for teachers to assess student ability and engagement. Teacher assessment in class. Optional unit assessment. Baseline and end of Term 2 Assessment. Baseline Assessment (3 Assessments - 3 Hours) Gap Analysis informs grouping and provides intervention data. Silent assessment in classes, marked and then gap analysis completed and sent to PiXL. Skills sheets glued in book. Measuring (6 Hours) GM1.1 Length GM1.2 Mass GM1.3 Time GM1.4 Volume GM1.5 Interpreting Scales GM1.6 The metric system GM1 Units and scales Revision of KS2 curriculum. Addresses misconceptions, checking for mastery and broadening and deepening understanding of students. Number skills are key to this topic and it may require longer for low ability students. Teacher assessment in class. Optional unit assessment. End of Term 2 Assessment. Coordinates and Translations (4 Hours) GM5.1 Position and cartesian coordinates GM5.2 Cartesian coordinates in four quadrants GM5.3 Translation GM5 Transformation Revision of KS2 curriculum. Opportunity to firmly embed concepts of the graph and to ensure that students understand the need for regularity in spacing. Addresses misconception when playing battleships – coordinates are a point, not a square. Teacher assessment in class. Optional unit assessment. End of Term 2 Assessment.

 TERM 2 Unit of study (length of study) Brief summary of what is covered. What skills does it utilise? How does is link to previous learning/prepare for future learning. How is it assessed? Moving Past the Point (4 Hours) N1.3 Adding and subtracting decimals N3.3 Rounding decimals to the nearest integer N1 Calculating N3 Accuracy KS2 Revision. Good understanding of place value is essential, relating this to money and metric measures will link to previous work. Teacher assessment in class. Optional unit assessment. End of Term 2 Assessment. Using Census at School Data (8 Hours) SP2.1 Using tables and charts SP1.3 Using frequency tables SP2.4 Pie charts SP1.1 Mode, median and range SP1.2 Using mean, median, mode and range SP2.2 Stem and leaf diagrams SP1 Statistical measures SP2 Statistical diagrams New learning. Students may have looked at Averages as KS2, but are not expected to present these in graphs. This will link into other subjects, so is a key topic. Teacher assessment in class. Optional unit assessment. End of Term 2 Assessment. Folding and Turning Shapes (6 Hours) GM2.1 Common shapes GM2.2 Line symmetry GM4.1 Angles in degrees GM5.4 Reflection GM2.4 Rotational symmetry GM5.5 Rotation GM6.1 Properties of 3-D shapes GM2 Properties of shapes GM4 Geometric construction GM5 Transformation GM6 Three-dimensional shapes Rotation and Rotational Symmetry are new in KS3. This will develop their understanding of the practical applications of some of the earlier graph work, leading into other transformations. Teacher assessment in class. Optional unit assessment. End of Term 2 Assessment. December Assessment (WTM, Assessment, Review – 4 Hours) Walking talking mock will recall work done so far this term prior to the assessment. 50 minute assessment in class time. Graded using prior data from the same assessment taken for 2 years prior.

 TERM 3 Unit of study (length of study) Brief summary of what is covered. What skills does it utilise? How does is link to previous learning/prepare for future learning. How is it assessed? Negative Numbers (6 Hours) N2.4 Negative numbers N1.5 Adding and subtracting negative numbers N1.6 Multiplying and dividing negative numbers N1 Calculating N2 Using our number system Revision from KS2. Identifying and addressing misconceptions – this is both a vital and complex topic. Teacher assessment in class. Optional unit assessment. End of Term 4 Assessment. A survey about us (6 Hours) SP1.3 Using frequency tables SP2.3 Vertical line charts SP3.1 Collecting data SP1.2 Using mean, median, mode and range SP1 Statistical measures SP2 Statistical diagrams SP3 Collecting data Averages looked at during the previous term, but this will extend their understanding and looks at the handling data cycle. Teacher assessment in class. Optional unit assessment. End of Term 4 Assessment. Generalising using letters (6 hours) N2.4 Negative numbers A1.1 Making and using word formulae A1.2 Using letters A1.3 Combining variables A1.4 Working with formulae A1 Starting algebra N2 Using our number system Although much of this is covered in KS2, students require a good understanding of order of operations, negative numbers and notation. This is also an opportunity to address negative attitudes that will have already developed towards Algebra in some students. Teacher assessment in class. Optional unit assessment. End of Term 4 Assessment.

 TERM 4 Unit of study (length of study) Brief summary of what is covered. What skills does it utilise? How does is link to previous learning/prepare for future learning. How is it assessed? Parts of a whole (6 hours) N4.1 Understanding fractions N4.2 Finding equivalent fractions N4.3 Multiplying fractions N4 Fractions Revision from KS2 curriculum, but generally an area of weakness for students. Technique for working with fractions must be developed. Teacher assessment in class. Optional unit assessment. End of Term 4 Assessment. Angle Facts (6 Hours) GM2.3 Angle facts (Algebraic part can be postponed until after A1.3 for less confident learners) GM2 Properties of shapes Students may have encountered Angle facts in KS2. Use of algebra with this will be new and develops important concepts in problem solving. Teacher assessment in class. Optional unit assessment. End of Term 4 Assessment. Exploring Sequences (6 Hours) A2.1 What is a sequence? A2.2 Generating sequences A2 Sequences From KS2, students will be familiar with generating the next or missing terms in a sequence. Identifying patterns and linking this with Algebra will develop their problem solving. Teacher assessment in class. Optional unit assessment. End of Term 4 Assessment. March Assessment (WTM, Assessment, Review – 4 Hours)

 TERM 5 Unit of study (length of study) Brief summary of what is covered. What skills does it utilise? How does is link to previous learning/prepare for future learning. How is it assessed? Percentages (6 Hours) N5.1 Understanding and using percentages N5.2 Calculating percentages of quantities N5.3 Converting between fractions, decimals and percentages N5 Percentages Revision from KS2, students will have and understanding of finding percentages of a quantity. This develops into seeing the link with fractions and decimals. Teacher assessment in class. Optional unit assessment. End of Year Assessment. Introducing Probability (6 Hours) SP4.1 Introduction to probability SP4.2 Single event probability SP4 Probability Probability should not be taught at KS2, though some students will have seen it. Embedding an understanding of the probability line and linking this both to likelihoods and proportion is essential to further statistics. Teacher assessment in class. Optional unit assessment. End of Year Assessment. Angles (6 Hours) GM2.5 Angles in triangles and quadrilaterals GM4.2 Constructions with a ruler and protractor GM2 Properties of shapes GM4 Geometric construction Angle facts from last term are applied to problem solving. Students are introduced to constructions, which leads on to Loci. Teacher assessment in class. Optional unit assessment. End of Year Assessment.

 TERM 6 Unit of study (length of study) Brief summary of what is covered. What skills does it utilise? How does is link to previous learning/prepare for future learning. How is it assessed? Exact or just accurate? (9 Hours) N7.3 Divisibility tests N1.4 Dividing whole numbers N2.5 Using the number system effectively N3.4 Rounding decimals N3.5 Significance N1 Calculating N2 Using our number system N3 Accuracy N7 Number properties Although students will have met division at KS2, they are unlikely to be confident with it. They are also often taught to leave a remainder and this can produce misconceptions (like that the remainder is the number after the decimal point). This is a key topic in helping students to tackle problem solving. Teacher assessment in class. Optional unit assessment. End of Year Assessment. Real Life Graphs (3 Hours) A3.1 Real life graphs A3 Functions and graphs Students are unlikely to have worked with Real-Life graphs before and this can present difficulties. Distance-Time graphs are particularly important in gaining an understanding of the relevance of gradient. Teacher assessment in class. Optional unit assessment. End of Year Assessment. Area and Perimeter (6 Hours) GM3.1 Understanding area GM3.2 Finding area and perimeter GM3 Measuring shapes KS2 revision. Students will fall back on methods taught at KS2, which often produce inaccurate results. Addressing misconceptions will help to develop stronger learners. Teacher assessment in class. Optional unit assessment. End of Year Assessment. June Assessment (WTM, Assessment, Review – 4 Hours)

Year 8:

 TERM 1 Unit of study (length of study) Brief summary of what is covered. What skills does it utilise? How does is link to previous learning/prepare for future learning. How is it assessed? About Calculation (6 Hours) N1.2 Multiplying whole numbers N2.2 Writing and ordering decimals N2.3 Multiplying and dividing by powers of 10 N3.2 Rounding larger numbers N7.2 Factors, primes and powers N1.7 Order of operations BIDMAS N1 Calculating N2 Using our number system N3 Accuracy N7 Number properties Prior knowledge of calculations, but will develop understanding of BIDMAS and its universal application. Teacher assessment in class. Optional unit assessment. End of Term 2 Assessment. Sequences (5 Hours) (A2.1 What is a sequence) covered in year 7, review if necessary. N1.5 Adding and subtracting negative numbers N1.6 Multiplying and dividing negative numbers A2.2 Generating sequences A2.3 Linear sequences A2 Sequences N1 Calculating Fluence with four operations is essential to this unit.   Links the concept of a linear sequence with the Algebra for generating sequences. Teacher assessment in class. Optional unit assessment. End of Term 2 Assessment. Properties of Shapes (6 Hours) GM2.3 Angle facts, met in year 7, postpone algebra until A1.3 done. GM2.5 Angles in triangles and quadrilaterals, possibly postpone algebra until A1.4 complete. GM2.6 Types of quadrilateral GM2.7 Angles and parallel lines GM2 Properties of shapes Use of Angle facts already developed in Year 7.   Understanding of Parallel lines and new Angle facts.   Importance of using the correct terminology. Teacher assessment in class. Optional unit assessment. End of Term 2 Assessment.

 TERM 2 Unit of study (length of study) Brief summary of what is covered. What skills does it utilise? How does is link to previous learning/prepare for future learning. How is it assessed? Using Letters (4 Hours) A1.1 Making and using word formulae (A1.2 Using letters) to support A1.3 if required. A1.3 Combining variables A1.5 Setting up and solving simple equations A1.6 Using brackets A1 Starting algebra Review of Year 7 work on algebra. Link to four operations and negative numbers.   Essential understanding to work with Algebra next term. Teacher assessment in class. Optional unit assessment. End of Term 2 Assessment. Statistical Investigation (4 Hours) SP2.3 Vertical line charts SP2.4 Pie charts SP2.2 Stem and leaf diagrams SP1.1 Mode, median and range SP1.2 Using mean, median, mode and range SP3.1 Collecting data SP2.6 Scatter diagrams SP1 Statistical measures SP2 Statistical diagrams SP3 Collecting data Stem and Leaf will be new to some students. Scatter Diagrams new to all students. Review of the data cycle and greater understanding of why we do this. Concepts of Outliers and patterns of data developing. Teacher assessment in class. Optional unit assessment. End of Term 2 Assessment. Fractions (4 Hours) N4.2 Finding equivalent fractions N1.4 Dividing whole numbers (N7.3 Divisibility tests can be included here) N4.3 Multiplying fractions N7.3 Divisibility tests N4.4 Adding and subtracting fractions N4.5 Working with mixed numbers N4.6 Dividing fractions N1 Calculating N4 Fractions N7 Number properties Secures understanding from Year 7, developing use of fractions and how these can be manipulated. Teacher assessment in class. Optional unit assessment. End of Term 2 Assessment. Forming Shapes (6 Hours) GM4.2 Constructions with a ruler and protractor GM2.4 Rotational symmetry GM2.6 Types of quadrilateral GM6.1 Properties of 3-D shapes GM4.3 Constructions with a pair of compasses GM6.2 Understanding nets GM2 Properties of shapes GM4 Geometric construction GM6 Three-dimensional shapes Prior understanding of shape is applied to constructions. Linking to the use of geometry and art. Teacher assessment in class. Optional unit assessment. End of Term 2 Assessment. December Assessment (WTM, Assessment, Review – 4 Hours)

 TERM 3 Unit of study (length of study) Brief summary of what is covered. What skills does it utilise? How does is link to previous learning/prepare for future learning. How is it assessed? Algebra (6 Hours) A1.2 Using letters A1.4 Working with formulae A3.1 Real life graphs A3.2 Plotting graphs of linear functions A1 Starting algebra A3 Functions and graphs Linear functions met in Year 8 and Real life graphs from Year 7.   Students develop understanding of how linear graphs can be plotted using mapping diagrams. Leading to concepts of gradient and intercept. Teacher assessment in class. Optional unit assessment. End of Term 4 Assessment. Calculating (6 Hours) N1.3 Adding and subtracting decimals N1.7 Order of operations BIDMAS N1.8 Multiplying decimals N1.9 Dividing decimals N1 Calculating Prior work on BIDMAS. Deepening understanding of calculations and use of different strategies to solve problems. Develop use of money and measurements to link with this and judge whether answers are sensible. Teacher assessment in class. Optional unit assessment. End of Term 4 Assessment. Measures (6 Hours) GM1.5 Interpreting scales N3.3 Rounding decimals to the nearest integer GM1.8 Bearings GM3.3 Circumference N3 Accuracy GM1 Units and scales GM3 Measuring shapes Interpreting scales will be familiar to students. Bearings and Circumference are new and lead into application of angles and use of formulae. Teacher assessment in class. Optional unit assessment. End of Term 4 Assessment.

 TERM 4 Unit of study (length of study) Brief summary of what is covered. What skills does it utilise? How does is link to previous learning/prepare for future learning. How is it assessed? Manipulating Algebra A1.3 Combining variables A1.5 Setting up and solving simple equations A1.6 Using brackets A1.7 Working with more complex equations A1.8 Solving equations with brackets A1 Starting algebra Developing prior knowledge of algebra into fluency. Students use clear strategies to solve problems. Teacher assessment in class. Optional unit assessment. End of Term 4 Assessment. Probability (N4.2 Finding equivalent fractions to support probability if necessary) SP4.1 Introduction to Probability SP4.2 Single event probability SP4.3 Combined events N4 Fractions SP4 Probability Probability familiar from year 7. This is an opportunity for some practical experiments to develop the links between proportion and outcome. Teacher assessment in class. Optional unit assessment. End of Term 4 Assessment. Teacher assessment in class. Optional unit assessment. End of Term 4 Assessment. Proportion GM1.6 The metric system N2.5 Using the number system effectively N6.1 Understanding ratio notation (all can do this) N6.2 Sharing in a given ratio N6.3 Working with proportional quantities GM1.7 Metric-imperial conversions (link with N6.3) GM1 Units and scales N2 Using our number system N6 Ratio and proportion Ratio is revision of the KS2 curriculum, but students will only be familiar with simplifying rather than sharing in a ratio. This links into work on proportion and understanding the application of proportion. Teacher assessment in class. Optional unit assessment. End of Term 4 Assessment. Transformations GM5.2 Cartesian coordinates in four quadrants GM5.3 Translation GM5.5 Rotation GM1.9 Scale drawing GM5.6 Enlargement GM1 Units and scales GM5 Transformations Leading from Year 7, Enlargement is new and the concept of scale factor and scale drawing. This will help to develop fine motor skills and practical understanding. Teacher assessment in class. Optional unit assessment. End of Term 4 Assessment. March Assessment (WTM, Assessment, Review – 4 Hours)

 TERM 5 Unit of study (length of study) Brief summary of what is covered. What skills does it utilise? How does is link to previous learning/prepare for future learning. How is it assessed? Indices (3 Hours) (N7.2 Factors, primes and powers) N7.4 Index notation N7 Number properties Square numbers encountered previously and students should have a concept of special types of number. Index notation is new and will link into use with Algebra. Teacher assessment in class. Optional unit assessment. End of Year Assessment. Sequences (6 Hours) N1.5 Adding and subtracting negative numbers A1.4 Working with formulae A2.2 Generating sequences A2.3 Linear sequences A2.4 Special sequences N1 Calculating A1 Starting algebra A2 Sequences Developing understanding of sequences.   Links with Algebra work already covered and develops concepts of linear equations. Teacher assessment in class. Optional unit assessment. End of Year Assessment. Two dimensions and Beyond (6 Hours) GM3.1 Understanding area GM6.1 Properties of 3-D shapes GM3.2 Finding area and perimeter GM6.2 Understanding nets GM6.3 Volume and surface area of cuboids GM3 Measuring shapes GM6 Three-dimensional shapes Builds on prior knowledge of measuring in 1, 2 and 3 dimensions. Links to geometry. Teacher assessment in class. Optional unit assessment. End of Year Assessment. Equations (3 Hours) A1.5 Setting up and solving simple equations A4.1 Trial and improvement A1 Starting algebra A4 Algebraic methods Students are familiar with trial and improvement and logic based solutions.   Developing understanding of solving problems methodically. Teacher assessment in class. Optional unit assessment. End of Year Assessment.

 TERM 6 Unit of study (length of study) Brief summary of what is covered. What skills does it utilise? How does is link to previous learning/prepare for future learning. How is it assessed? Statistical Survey (8 Hours) SP1.1 Mode, median and range SP1.2 Using mean, median, mode and range SP2.2 Stem and leaf diagrams SP3.1 Collecting data SP1.3 Using frequency tables S3.2 Designing a questionnaire S1.4 Using grouped frequency tables S2.5 Displaying grouped data SP1 Statistical measures SP2 Statistical diagrams SP3 Collecting data Use of the Handling Data cycle to complete an investigation.   Developing understanding of how we process and discuss the results. Teacher assessment in class. Optional unit assessment. End of Year Assessment. Percentages (4 Hours) N5.1 Understanding and using percentages N5.2 Calculating percentages of quantities N3.4 Rounding decimals N5.3 Converting between fractions decimals and percentages N5.4 Applying percentage increases and decreases to amounts N5 Percentages   N3 Accuracy Percentages already encountered.   Links with real life applications of percentages. Teacher assessment in class. Optional unit assessment. End of Year Assessment. Three Dimensions (6 Hours) GM2.4 Rotational symmetry GM6.2 Understanding nets GM6.3 Volume and surface area of cuboids GM6.4 2-D representations of 3-D shapes GM2 Properties of shapes GM6 Three-dimensional shapes Links to work on shapes last term.   Opportunities for practical work. Teacher assessment in class. Optional unit assessment. End of Year Assessment. June Assessment (WTM, Assessment, Review – 4 Hours)

### Term 9:

 TERM 1 Unit of study (length of study) Brief summary of what is covered. What skills does it utilise? How does is link to previous learning/prepare for future learning. How is it assessed? Graphs (3 Hours) A3.1 Real-life graphs A3.2 Plotting graphs of linear functions A3.3The equation of a straight line A3 Functions and graphs Revision of graphs and development of understanding of the equation of a straight line – Gradient and Intercept. Teacher assessment in class. Optional unit assessment. End of Term 2 Assessment. Doing a Survey (6 Hours) SP1.3 Using frequency tables SP3.2 Designing a questionnaire SP2.6 Scatter diagrams SP1.4 Using grouped frequency tables SP2.5 Displaying grouped data SP1 Statistical measures SP2 Statistical diagrams SP3 Collecting data Collection and presentation of data should be familiar from Year 8.   Use of grouped data. Teacher assessment in class. Optional unit assessment. End of Term 2 Assessment. Measuring Shapes (3 Hours) GM3.2 Finding area and perimeter GM3.3 Circumference GM3.4 Area of circles GM3 Measuring shapes For some students Circles will be new. Developing use of formulae and need to understand what the parts of the formula mean. Teacher assessment in class. Optional unit assessment. End of Term 2 Assessment. Decimals (4 Hours) N2.5 Using the number system effectively N1.8 Multiplying decimals N1.9 Dividing decimals N2.6 Writing numbers in standard form N1 Calculating N2 Using our number system Requires prior knowledge of numerical operations.   Introduction to the use of standard form and the way that large and small numbers are used. Teacher assessment in class. Optional unit assessment. End of Term 2 Assessment.

 TERM 2 Unit of study (length of study) Brief summary of what is covered. What skills does it utilise? How does is link to previous learning/prepare for future learning. How is it assessed? Brackets in Algebra (6 Hours) (A1.5 Setting up and solving simple equations) A1.6 Using brackets N1.7 BIDMAS A1.7 Working with more complex equations A1.8 Solving equations with brackets A1.9 Simplifying harder expressions A1 Starting algebra   N1 Calculating Building on concepts of number and algebra from Year 7 & 8.   Students are now confidently manipulating algebraic expressions. Teacher assessment in class. Optional unit assessment. End of Term 2 Assessment. Measures with Shapes (6 Hours) GM3.3 Circumference GM3.4 Area of circles GM3.5 Pythagoras' theorem GM3 Measuring shapes Use of formulae. Square numbers and Area.   Introduction of Pythagoras’ Theorem. Teacher assessment in class. Optional unit assessment. End of Term 2 Assessment. Percentages (6 Hours) N4.3 Multiplying fractions N5.3 Converting between fractions, decimals and percentages N5.4 Applying percentage increases and decreases to amounts N5.5 Finding the percentage change from one amount to another N5.6 Reverse percentages N4 Fractions N5 Percentages Understanding of percentages as hundredths and concepts of decimal representations.   Use of proportional reasoning. Teacher assessment in class. Optional unit assessment. End of Term 2 Assessment. December Assessment (WTM, Assessment, Review – 4 Hours)

 TERM 3 Unit of study (length of study) Brief summary of what is covered. What skills does it utilise? How does is link to previous learning/prepare for future learning. How is it assessed? More on Equations (3 Hours) A1.7 Working with more complex equations A4.1 Trial and improvement A4.2 Linear inequalities A1 Starting algebra A4 Algebraic methods Algebraic fluency.   Develops a deeper understanding by challenging algebraic ideas. Teacher assessment in class. Optional unit assessment. End of Term 4 Assessment. Angles (6 Hours) GM 2.5 Angles in triangles and quadrilaterals GM 2.6 Types of quadrilateral GM 2.7 Angles and parallel lines GM1.8 Bearings GM2.8 Angles in a polygon GM1 Units and scales GM2 Properties of shapes Understanding of shapes and angles.   Working on using and justifying angle reasoning. Teacher assessment in class. Optional unit assessment. End of Term 4 Assessment. Powers (3 Hours) N7.4 Index notation (all can attempt this) N7.5 Prime factorisation N7 Number properties Understanding of repeated multiplication.   Use of prime factor trees and factorisation. Teacher assessment in class. Optional unit assessment. End of Term 4 Assessment. A statistical survey (6 Hours) SP1.3 Using frequency tables SP2.2 Stem and leaf diagrams SP1.4 Using grouped frequency tables SP1.5 Interquartile range SP2.5 Displaying grouped data SP1 Statistical measures SP2 Statistical diagrams Understanding and working with grouped data.   Introduction of IQR and links to how we can display data. Teacher assessment in class. Optional unit assessment. End of Term 4 Assessment.

 TERM 4 Unit of study (length of study) Brief summary of what is covered. What skills does it utilise? How does is link to previous learning/prepare for future learning. How is it assessed? Sequences and Graphs (6 Hours) N1.6 Multiplying and dividing negative numbers A2.3 Linear sequences (A3.2 Plotting graphs of linear functions) A2.4 Special sequences A3.3 The equation of a straight line A2.5 Quadratic sequences A3.4 Plotting quadratic and cubic graphs N1 Calculating A2 Sequences A3 Functions and graphs Links to Graph work in prior years.   Students are now considering curves on graphs. Teacher assessment in class. Optional unit assessment. End of Term 4 Assessment. Dimensions (6 Hours) GM6.3 Volume and surface area of cuboids GM6.4 2-D representations of 3-D shapes GM6.5 Prisms GM1.10 Compound units GM1 Units and scales GM6 Three-dimensional shapes Understanding of 3D shapes.   Extending to use of formulae for Prisms and an understanding of compound units. Teacher assessment in class. Optional unit assessment. End of Term 4 Assessment. Parts of a whole (6 Hours) N6.1 Understanding ratio notation N4.5 Working with mixed numbers GM1.7 Metric-imperial conversions N6.3 Working with proportional quantities N6.4 The constant of proportionality N4 Fractions N6 Ratio and proportion GM1 Units and scales Familiarity with ratio and proportion is essential.   Links to proportions of quantities and using constants (K). Teacher assessment in class. Optional unit assessment. End of Term 4 Assessment. March Assessment (WTM, Assessment, Review – 4 Hours)

 TERM 5 Unit of study (length of study) Brief summary of what is covered. What skills does it utilise? How does is link to previous learning/prepare for future learning. How is it assessed? Functions and equations (6 Hours) A3.2 Plotting graphs of linear functions A4.2 Linear inequalities A4.3 Solve pairs of equations by substitution A4.4 Solve simultaneous equations using elimination A4.5 Using graphs to solve simultaneous equations A3 Functions and graphs A4 Algebraic methods Prior understanding of graphs and linear equations.   Introduction of inequalities and simultaneous equations. Teacher assessment in class. Optional unit assessment. End of Year Assessment. Accuracy (6 Hours) N3.4 Rounding decimals N3.5 Significance N3.6 Approximating N3.7 Limits of accuracy N3 Accuracy Understanding decimals and rounding.   Significance and use of significant figures. Teacher assessment in class. Optional unit assessment. End of Year Assessment. Construction (6 Hours) GM1.7 Metric-imperial conversions GM1.8 Bearings GM4.2 Constructions with a ruler and protrator GM1.9 Scale drawing GM4.3 Constructions with a pair of compasses GM4.4 Loci GM1 Units and scales GM4 Geometric construction Prior work on constructions and use of compasses and protractors.   Developing use of Loci for the most able students. Teacher assessment in class. Optional unit assessment. End of Year Assessment.

 TERM 6 Unit of study (length of study) Brief summary of what is covered. What skills does it utilise? How does is link to previous learning/prepare for future learning. How is it assessed? Ratio and Proportion (3 Hours) N6.3 Working with proportional quantities N6.2 Sharing in a given ratio N6.5 Working with inversely proportional quantities N6 Ratio and proportion Proportion and Sharing in a ratio.   Extending knowledge of proportion. Teacher assessment in class. Optional unit assessment. End of Year Assessment. Harder Algebra (3 Hours) (A1.4 Working with formulae) (A1.5 Setting up and solving simple equations) (A1.6 Using brackets) (A1.7 Working with more complex equations) A1.8 Solving equations with brackets A1.9 Simplifying harder expressions A1.10 Using complex formulae A1 Starting algebra Working with formulae.   Developing understanding of harder expressions. Teacher assessment in class. Optional unit assessment. End of Year Assessment. Teacher assessment in class. Optional unit assessment. End of Year Assessment. Using Transformations (6 Hours) GM5.4 Reflection GM5.5 Rotation GM5.6 Enlargement GM5.7 Similarity GM5.8 Trigonometry GM5 Transformations Transformations from prior learning.   Developing understanding of similarity and scale factors.   Link to trigonometry for higher students. Teacher assessment in class. Optional unit assessment. End of Year Assessment. Probability (6 Hours) SP4.1 Introduction to probability SP4.2 Single event probability SP4.3 Combined events N4.4 Adding and subtracting fractions N4.6 Dividing fractions SP4.4 Estimating probability SP4 Probability N4 Fractions Familiarity with probability.   Understanding of combined events and use of diagrams to show probability. Estimating probabilities. Teacher assessment in class. Optional unit assessment. End of Year Assessment. June Assessment (WTM, Assessment, Review – 4 Hours)

### The department wishes:

• to create a fast-paced and positive working environment in Mathematics, where pupils want to learn, progress and upgrade.
• to give you opportunities to apply your understanding of the skills of Mathematics to problem solving activities, real life situations and exam style questions.
• enable you to exceed your predicted GCSE Grade in Mathematics and always push you to do your best.

### The Course

The course is structured through a 5 Year curriculum to deliver the new specification of GCSE in Mathematics, with assessment differentiated into two tiers.

The Foundation Tier Grades 1-5 are equivalent to Grades G to B. The course includes basic concepts, skills and routine applications at the lower grades, up to two stage problems of number, algebra, shape and space and data handling at the higher grades.

The Higher Tier Grades 3 to 8 are equivalent to Grades D to A*, with Grade 9 being reserved for truly exceptional students. The course places greater emphasis upon applications and problem solving. Many of the examined questions will be unfamiliar to students, with the expectation that they will be able to use problem solving techniques to reach the final solution.

Although we prepare the majority of students for the Higher Paper from Year 7 onwards, a decision will be made during Year 11 over which tier of entry they will take. We therefore focus much of our intervention and revision on topics that appear on both papers until that decision is made.

This GCSE is assessed by 3 examinations in May/June, Paper 1 is Non-Calculator and Paper 2 and 3 require a Calculator. We recommend purchasing a Scientific Natural Display Calculator at the start of Year 10 (or earlier). Casio is the recommended brand and these cost between £7 and £13 from supermarkets and stationers.

All the external examinations will take place at the end of Year 11, however, regular Wave Assessments are used to monitor student progress throughout Year 10 and 11, so that interventions can be put into place for students who fall behind.

### Progression

Pupils who have gained a Grade 6 or above at the Higher Tier may be advised to progress to 'A' Level Mathematics in the 6th form. Pupils achieving a Grade 5 or 6 at the Higher Tier may be offered the opportunity to do the Mathematics in Context course.

If you would like further information please see Mrs S Hutt, Director of Mathematics.