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

The Archbishop’s School Curriculum Audit (June 2019) – please complete and return to RD by 28/6/19

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)

 

 

 

 

Examination Board: EDXCEL

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.