Inspire - Transform - Succeed

Maths

Mathematics is the means of looking at the patterns that make up our world and the intricate and beautiful ways in which they are constructed and realized. Numeracy is the means of making that knowledge useful.

Mathematics contributes to the school curriculum by developing students’ abilities to calculate; to reason logically, algebraically, and geometrically; to solve problems and to handle data. Mathematics is important for students in many other areas of study, particularly Science and Technology. It is also important in everyday living, in many forms of employment, and in public decision-making. As a subject in its own right, Mathematics presents frequent opportunities for creativity, and can stimulate moments of pleasure and wonder when a problem is solved for the first time, or a more elegant solution to a problem is discovered, or when hidden connections suddenly manifest.

It enables students to build a secure framework of mathematical reasoning, which they can use and apply with confidence. The power of mathematical reasoning lies in its use of precise and concise forms of language, symbolism and representation to reveal and explore general relationships. These mathematical forms are widely used for modelling situations; a trend accelerated by computational technologies.

The subject transcends cultural boundaries and its importance is universally recognized. Mathematics helps us to understand and change the world.

Aims

  • To set challenging targets with high expectations for all students.
  • To offer a variety of approaches to teaching and learning to engage and motivate students and demand their active participation.
  • To smooth the transition for students between Key Stages and ensure progression in teaching and learning throughout their time at School.
  • To explore enrichment opportunities outside the curriculum to enhance students’ enjoyment of mathematics.

 

Key Stage Three

At Key Stage 3 from September 2014, we are following the new National Curriculum schemes of work to ensure the students gain a fully rounded knowledge of Mathematics. Students are put into sets based on attainment and ability. In Year 7 this is based initially on Key Stage 2 SATS data,  CATS data and a baseline assessment.

 

Half Term

Autumn 1

Autumn 2

Spring 1

Spring 2

Summer 1

Summer 2

Year 7

TOPIC TITLE(s)

1 Analysing and displaying data

2 Number skills

 

3 Expressions, functions and formulae

4 Decimals and measures

5 Fractions

6 Probability(part 1)

 

 

6 Probability (part2)

7 Ratio and proportion

 

8 Lines and angles

9 Sequences and graphs (part1)

 

9 Sequences and graphs(part2)

10 Transformations

Assessment 1

(Use of AFL marking)

 

Unit Test 1: Mode median and range

AFL

 

 

 

Unit Test 3: Simplifying, expanding brackets and using formulae

AFL

 

 

Unit test 5: Fractions, decimals and percentages

AFL

 

Unit Test 6: Probability

 

Unit Test 8: Measuring and calculating angles and solving geometric problems

 

 

Unit Test 9: Sequences and nth term

Assessment 2

(End of unit test etc.)

 

Unit Test 2:

 

Written work, mental work, problem solving

 

 

 

Unit Test 4: Scales, decimals, perimeter and area

Unit Test 6: Probability

Unit Test 7:  ratio and proportion

Unit Test 9: Sequences and coordinates

Unit Test10

 

Year 8

TOPIC TITLE(s)

1 Number

2 Area and volume

3 Statistics, graphs and charts

4 Expressions and equations

 

5 Real-life graphs

6 Decimals and ratio

6 Decimals and ratio

7 Lines and angles

8 Calculating with fractions

9 Straight-line graphs

 

9 Straight-line graphs

10 Percentages, decimals and fractions

Assessment 1

(Use of AFL marking)

 

Unit 1 Test

Calculations

Calculations with negative integers

Powers, Roots and brackets

Multiples and Factors

 

 

 

 

Unit 3 Test

Pie charts

Using tables

Stem and leaf diagrams

Comparing Data

Scatter Diagrams

Finance: misleading graphs

 

Unit 5 Test

Conversion graphs

Distance-time graphs

Line graphs

Complex line graphs

STEM: Graphs of functions

More real-life graphs

 Unit 6 (b) Test

Calculations with decimals

STEM: Using ratios

 

Unit 8 Test

Adding and subtracting fractions

Multiplying fractions

Fractions, decimals and reciprocals

Dividing fractions

Calculating with mixed numbers

 

 

Unit 9(b) Test

Equations of straight lines

STEM: Direct proportion problems

 

Assessment 2

(End of unit test etc.)

Unit 2 Test

Area of a triangle

Area of a parallelogram

Volumes of cubes and cuboids

3D Shapes

Surface area of cubes and cuboids

Problems and measures

Unit test 4

Algebraic powers

Expressions and brackets

Factorising expressions

One-step equations

Two-step equations

The balancing method

 

Unit 6 (a) Test

Ordering decimals and rounding

Place-value calculations

 

Unit 7 Test

Quadrilaterals

Alternate angles and proof

Geometrical problems

Exterior and interior angles

Solving geometrical problems

Unit 9(a) Test

Direct proportion on graphs

Gradients

Unit 10  Test:

Fractions and decimals

Equivalent proportions

Writing percentages

Percentages of amounts

Finance: Solving problems

Year 9

TOPIC TITLE(s)

1 Indices and standard form

2 Expressions and formulae

3 Dealing with data

4 Multiplicative reasoning

5 Constructions

6 Equations, inequalities and proportionality

7 Circles, Pythagoras and prisms

8 Sequences and graphs

 

8 Sequences and graphs

9 Probability

 

9 Probability

10 Comparing shapes

 

Assessment 1

(Use of AFL marking)

 

Unit 1 Test

Indices and powers of 10

Powers and roots

Standard Form

 

 

 

 

 

Unit 3 Test

Surveys

Calculating averages

Display and analyse

 

 

Unit 5 Test

Using scales

Basic constructions

Constructing triangles

Loci

 

Unit 7 (b) Test

Circles

Pythagoras’ Theorem

Prisms

 

Unit 8 Test

Non-linear graphs

 

 

Unit 9(b) Test

Independent events

Experimental probability

 

Assessment 2

(End of unit test etc.)

Unit 2 Test

Substituting into expressions

Writing and using formulae

Expanding, factorising and indices

Unit test 4

Enlargement

Compound measures

Percentage change

 

 

Unit 6 (a) Test

Solving equations and inequalities

Trial and improvement

Proportion

 

 

Unit 8 Test

Sequences

Straight- line graphs

Unit 9(a) Test

Probability from tables and diagrams

Mutually exclusive events

Unit 10  Test:

Congruence and similarity

Sine, cosine, tangent

 

Textbooks

 We are now using the new Pearson KS3 Maths Progress text books for Years 7, 8 and 9 that are differentiated based on ability group. These books are interactive, with resources that can be projected onto a whiteboard. All students are issued with the corresponding homework book and homework can also be set electronically. This new course provides support and stretch and challenge for all students. Nurturing confidence is at the heart of this new course, so students can learn to work independently, take risks and persevere. As a result they should experience success.

The 10 key principles of this course are:

  • Fluency
  • Mathematical reasoning
  • Multiplicative reasoning
  • Problem solving
  • Progression
  • Concrete-Pictorial-Abstract (CPA)
  • Relevance
  • Modelling
  • Reflection
  • Linking

Homework Books (Progression Workbooks)

These offer extra practice of key content along with dynamic student support, confidence checkers and      progression charts

  • Hundreds of extra practice questions at different levels of difficulty
  • 1:1 correspondence with student books
  • QR codes give students direct access to worked example videos on their phones or tablets
  • Problem solving and reasoning questions on Modelling, Finance, Real-life and STEM
  • Guided questions with partially worked solutions

 

Key Stage Four

At KS4 we follow the Edexcel Linear 1MA() mathematics course to GCSE level. The course covers the following topics:

Number

Algebra

Geometry

Data Handling 

Students sit two examinations (a calculator paper and a non-calculator paper). Each paper is worth 50% of the final mark. These examinations are sat in June of year 11.

There are 2 tiers of entry at GCSE, Higher (students can achieve grades A*-D) and Foundation (students can achieve grades C-G).

We hold regular revision sessions every Monday after school. We also have some sessions in the holidays in the run up to examinations.

 

 

Half Term

Autumn 1

Autumn 2

Spring 1

Spring 2

Summer 1

Summer 2

Year 10 Foundation

TOPIC TITLE(s)

Chapter 1:Number Basic number

Chapter 2: Fractions

Chapter 3: Number: Negative numbers

 

Chapter 4: Number properties: Factors, multiples ,powers and roots

Chapter 5: Statistical diagrams

Chapter 6: Geometry and measures: Scales, scale drawings and nets

 

Chapter 7: Measures: Metric and Imperial Units

Chapter 8: Geometry: Symmetry

Chapter 9: Algebra: Graphs: Travel graphs, conversion graphs

Chapter 10: Geometry and measures: Angle facts

 

 

Chapter 10: Geometry and measures(part 2): Polygons, parallel  lines, quadrilaterals and bearings

Chapter 11: Probability: Probability of events

Chapter 12: Geometry: Congruent shapes and tessellations

 

Chapter 13: Geometry and measures : Constructions Chapter 14: Further number skills. The four rules with whole numbers, decimals, fractions and negative numbers. Approximations.Chapter 15: Statistics: Pie charts, scatter diagrams, surveys

 

 

 

Book 2: Chapter 1:

Using a calculator brackets and fractions

Chapter 2: Number: rational numbers, reciprocals, prime factors, LCM,HCF, rule for multiplying and dividing powers

Assessment 1

(Use of AFL marking)

 Number

Basic number skills

 

 

 

 Number :

Factors, multiples, powers and roots

Measures:

Metric and Imperial units

 Geometry:

Polygons

 Geometry: Constructions

 

 

Number:

 

Assessment 2

(End of unit test etc)

 

 Number

Negative numbers

 

 

 

  Statistics:

Reading and interpreting statistical diagrams

 

 

 Geometry:

Angle facts

 Probability:

Probability of events

Number:

Decimals, fractions and negative numbers

End of year exam

 

Year 11 Foundation

TOPIC TITLE(s)

 

Chapter 3:

Number percentages

Chapter 4 Algebra: Basic algebra: Simplifying, expanding, factorising, substituting

Chapter 5: Statistics: averages

Chapter 6: Geometry: Perimeter and area (part1)

 

Chapter 6: Geometry: Perimeter and area (part2)

Chapter 7: Number: Ratios speed and proportion(part1)

Revision and exam preparation

Mock Exams

Chapter 7: Number: Ratios speed and proportion(part2)

Chapter 8: Algebra: Equations and inequalities

Chapter 9: Probability: calculating probabilities

Chapter 10: Algebra: Patterns and nth term

Chapter 11: Geometry: Surface area and volume of 3D shapes

Chapter 12: Geometry: Transformations 2

Chapter 13: Geometry: Circles: circumference and area

Chapter 14: Geometry: Constructing bisectors and loci

Chapter 15: Quadratic graphs

Chapter 16: Geometry: Pythagoras’ Theorem

Revision of all topics

 

 

Assessment 1

(Use of AFL marking)

 

 

Number: Percentages

 

 

 

 

 

 

Geometry: Perimeter and area

 

 

 

Statistics: Probability

 

 

Geometry: Surface area and volume

 

Algebra: Graphs: Quadratic graphs

 

 

 

Assessment 2

(End of unit test etc)

 

Algebra: Expanding and factorising

 

Number: Ratio

 

Algebra: nth term

 

Geometry: Circumferece and area

Geometry:

Pythagoras

Exam paper practice

 

Year 10 Higher

TOPIC TITLE(s)

 

 

Book 1 Chapter 1 Number: Decimals, approximations, powers and roots, negative numbers.

Chapter 2 Number: Fractions, percentages and compound interest.

Chapter 3 Number: Ratio, speed, proportion, density

 

Book 1 Chapter 4:      Geometry: Circumference and area of a circle. Sectors, Volume of prisms

Chapter 5: Algebra: Basic algebra, Factorisation, equations, trial and improvement

Chapter 6: Geometry: Pythagoras’ theorem in 2D and 3D

Chapter 7:Geometry: Angles in quadrilaterals and polygons

 

 

Book 1  Chapter 7 Geometry: Angles and constructions

Chapter 8 Geometry Transformation geometry

Chapter 9 Statistics: Averages, Statistical diagrams, Surveys and questionnaires

Chapter 10 Algebra  Real-life graphs

 

 

 

Book 1 Chapter 11 Statistics: Line graphs, stem and leaf and scatter graphs

Chapter 12 Probabilities of

 Events

Chapter 13 Algebra   Number and sequences, finding the nth term.

 

 

 

Book 1 Chapter 14 :Algebra  Graphs and their equations

Chapter 15: Algebra  Inequalities and regions

Book 2 Chapter 1 Number: using a calculator with fractions

Book 2 Chapter 2: Geometry Volume of a pyramid, cone and sphere

Book 2 Chapter 3 Geometry  Trigonometry 1: using the sine, cosine and tangent ratio

 

Book 2 Chapter  Geometry  Trigonometry 1

Book 2 Chapter 4 Geometry properties of circles, Circle Theorems

Book 2 Chapter 5 Number Powers, standard form and surds

Assessment 1

(Use of AFL marking)

 Number

Multiples, factors, prime numbers, powers and roots

 

 

 

 Geometry

Circumference and area of a circle

 

 

 Geometry

Transformations

 Statistics

Stem and leaf and scatter graphs

 

 Algebra

Solving inequalities

 

 

Algebra

Simultaneous equations

 

Assessment 2

(End of unit test etc)

Number

Ratio, speed and density

 

 Geometry

Pythagoras Theorem

 

 

 Statistics

Averages

 

 

 

Algebra

Sequences: finding the nth term

 

 Geometry

Volume

Statistics

Probability

Year 11 Higher

TOPIC TITLE(s)

Number recap

Algebra recap

Data recap

Geometry recap

Book 2

 Chapter 6  Quadratic

Equations

Chapter 7 Similar triangles

Chapter 8: Geometry : Trigonometry 2: Sine and Cosine rule, Area of a triangle

Chapter 9:

Algebra : Graphs and equations: Graphs, Circular function graphs

Chapter 10:Statistics: Data distributions: Cumulative frequency, Box plots and Histograms

Chapter 11: Probability: Tree diagrams, independent events

Chapter 12: Algebra: Algebraic methods

 

Chapter 13:Variation

Chapter 14: Number: Number and limits of accuracy

Chapter 15: Vectors

Chapter 16: Transformation of graphs

Revision:

 

Revision of topics

Number recap

Algebra recap

Data recap

Geometry recap

 

 

 

Assessment 1

(Use of AFL marking)

Algebra

 

Quadratic  Equations

 

Geometry

Trigonometry 2

 

 

Statistics

Data distributions

Number

Variation

Past papers

Past papers

 

 

Assessment 2

(End of unit test )

Geometry

Similar triangles

 

 

 

Algebra

 Graphs and equations

Mock Examination

 

Statistics

Probability

Past paper

Geometry

Vectors

Past papers

 

 

 

 

Textbooks

In class we use the Collins Edexcel GCSE Maths text books, which follow the Edexcel scheme of work. These books are interactive, with resources that can be projected onto a whiteboard. All students are issued with homework books for their relevant tier of entry. Homework is also set electronically.

ICT

All classrooms at Lostock are equipped with interactive whiteboards. The maths department also has access to computer rooms which enables students to access the interesting array of maths software as part of their learning.

Useful Websites

 

www.mathwatchvle.com

 www.mymaths.co.uk Fantastic site, subscription paid for by school.  Online lessons, plus ‘booster packs’.The class teacher will provide the username and password for this site.

www.supermathsworld.comFun maths practice in a games format. The class teacher will provide the username and password for this site.

www.bbc.co.uk/schools/gcsebitesize/maths Revision lessons, activities and mini-tests

www.mrbartonmaths.com Some good revision notes along with some other interesting bits and links                            

 www.mangahigh.com More fun maths practice in a games format. The class teacher will provide the username and password for this site.

www.sumdog.com Sumdog is a way for students to practice math skills while playing fun games. The class teacher will provide the username and password for this site.

 

UKMT Maths Challenge

Some students/students in Years 7 & 8 are entered for the UKMT Maths Challenges at the Junior level where they can be awarded Gold, Silver and Bronze certificates.