School Maths Lead | Ms E Charlesworth | echarlesworth@themast.co.uk

Aims

Our aim is for pupils to enjoy maths and be able to use their skills throughout life and not only as a means of passing tests and exams. Mathematics is central to our understanding of the world in which we live, to our control of our environment, and to the organisation of our society. It underpins science, technology, medicine, economics and government. We believe we offer a programme which enables all pupils to reach their potential and provides them with a necessary grounding in mathematics for life after Kirkburton.

Pupils are given the opportunity to work in pairs and groups where they learn to work with each other and understand how different people solve problems in various ways. Pupils are encouraged to respect the opinions and beliefs of others when discussing mathematics. Pupils will learn the origins of mathematics and that it comes from different cultures.

The moral development of pupils is an important thread running through the mathematics programme. The pupils take part in various projects using maths in real life contexts, applying and exploring the skills required to solve problems. Year 8 pupils have looked at ‘Pay Day Loans’ and the choices and implications involved in these.

We follow national guidelines as the basis for our schemes of work. Pupils will cover work on number, calculations, shape, space and measures, handling data and algebra. They will also practice using and applying mathematics in a variety of contexts therefore developing the functional aspect of Maths.

Pupils are set, and set their own, targets for improvement which encourages independent work.
We offer several extra-curricular opportunities including the STEM (Science, Technology, Engineering and Maths) club. Pupils are entered into mathematics based quizzes against other schools and we also participate in the annual UK Maths Challenge.


Curriculum Overview

Maths is taught to all pupils in mixed ability sets in year 6. We are using the Mastery approach to teach Maths and each child is assessed regularly. In addition, each pupil will have clear targets set for areas of improvement.

Year 6

Autumn Term

Number - Place Value

  • Read, write, compare and order numbers up to 10,000,000
  • Round numbers.
  • Negative numbers.

Number - Calculations

  • Add, subtract, multiply and divide using formal written methods. 
  • Multiples, factors, prime numbers, square numbers and cube numbers.
  • Common factors, common multiples.
  • BIDMAS.
  • Problem solving.
  • Reason from known facts.
  • Calculate mentally and estimate answers.

Number - Fractions

  • Equivalent fractions.
  • Simplify fractions.
  • Mixed numbers and improper fractions.
  • Compare and order fractions.
  • Add and subtract fractions.
  • Multiply fractions by integers.
  • Multiply fractions by fractions.
  • Divide fractions by integers.
  • Calculate fractions of an amount.

Geometry 2D and 3D Shapes

  • Compare and classify geometric shapes based on their properties.
  • Properties of quadrilaterals.
  • Name 2D and 3D shapes.
  • Draw shapes accurately.
  • Nets of shapes.

Geometry - Position and Direction

  • Co-ordinates in all four quadrants.
  • Translate shapes on a co-ordinate grid.
  • Reflect shapes.
Spring Term

Number – Decimals and Fractions, Decimals and Percentages

  • Place value in decimals.
  • Multiply and divide by 10, 100 and 1000.
  • Multiply decimals by integers.
  • Divide decimals by integers.
  • Convert between FDP.

Number – Percentages

  • Use equivalent FDP.
  • Percentages of amounts.
  • Calculate percentage increases and decreases.
  • Order FDP.

Algebra

  • Function machines – finding rules.
  • Sequences.
  • Substitution.
  • Using simple formulae.
  • Solve simple one and two-step equations.
  • Find pairs of numbers that satisfy an equation with two unknowns.
  • Find different possibilities and combinations.

Geometry – Units and Measurement 

  • Convert between metric units.
  • Imperial and metric conversions.
  • Area and perimeter of rectangles.
  • Area of triangles.
  • Area of parallelograms.
  • Perimeter and area of compound shapes.
  • Volume of cuboids.
  • Measurement problems.

Number – Ratio

  • Language of ratio.
  • Ratio and fractions.
  • Calculate using ratio.
  • Scale factors.
  • Similar shapes.
  • Problem-solving with ratio, including recipe problems.

Geometry – Angles

  • Draw and measure angles.
  • Name angles.
  • Use angle rules:
  • Angles in a triangle.
  • Angles on a straight line.
  • Angles in quadrilaterals.
  • Angles around a point.
  • Vertically opposite angles.
Summer Term

Statistics

  • Line graphs.
  • Pie charts.
  • Parts of a circle.
  • Mean (average).
  • Draw and interpret different charts and graphs. 

Revision

Consolidation Work
 
Bakery Project.
 
Financial Task – Theme Park.

Algebra Bridging Unit.

Year 7

Autumn Term

Number – Place Value

  • Place Value up to one billion.
  • Place value in decimals.
  • Rounding to decimal places and significant figures.
  • Multiplying and dividing by powers of ten (including negative powers).
  • Use place value in the context of measure to convert between units.

 Properties of Number

  • Multiples, factors, primes, square numbers and cube numbers.
  • Exponents (powers) and roots.
  • Prime factorisation.
  • Highest common factor, lowest common multiple using Venn Diagrams.
     
Number - Arithmetic Addition and subtraction with Decimals
  • Addition and subtraction with negative numbers.
  • Multiplication and division with decimals.
  • Multiplication and division with negative numbers.
  • Laws of arithmetic: Commutative, Associate and Distributive Laws.
  • BIDMAS.
  • Using a calculator.
 Probability
  • Language of probability.
  • Probability scale.
  • Identifying outcomes.
  • Theoretical probability. Experimental Probability.
Spring Term

Algebra

  • Algebraic notation.
  • Identify the terms, coefficient, factor, product, expression, formula, and equation.
  • Simplifying expressions.
  • Function machines.
  • Expanding brackets.
  • Factorising. Expressions.
  • Substitution.

 Geometry

  • Perimeter.
  • Recap the area of:
  • Rectangles, triangles, parallelograms.
  • Area of a trapezium.
  • Perimeter of composite shapes.
  • Area of composite shapes.
  • Recap angle rules.
Number – Fractions, Decimals and Percentages
  • Recap: equivalent fractions, simplifying, improper fractions and mixed numbers.
  • Convert fluently between FDP using non-calculator and calculator methods.
  • Compare and order negative numbers and decimals.
  • Compare and order fractions.
 Number – Fractions – Four Operations
  • Add and subtract fractions, including mixed numbers.
  • Multiply and divide fractions, including mixed numbers.
  • Problem-solving with fractions.
Summer Term

Ratio and Proportion

  • Language of ratio.
  • Multiplicative relationships.
  • Calculate multipliers.
  • Ratio tables to represent multiplicative relationships.
  • Fractions of an amount (including finding the original amount).
  • Express one number as a fraction of another.
  • Divide a quantity into given ratios.
  • Exchange rates, conversions and real-life problems.
Geometry
  • Transformations: 
  • Translation using vectors.
  • Describing rotations using centre of rotation, size of turn and direction.
  • Rotate shapes.
  • Reflect shapes using a line of reflection.
  • Enlarge shapes using a centre of enlargement and scale factor.
  • Recap co-ordinates.
  • Problem solving using co-ordinates and transformations.
 Data
  • Averages; mean, median, mode
  • Range.
  • Draw and interpret bar charts.
  • Grouped data.
  • Draw and interpret pie charts.

Year 8

Autumn Term

Number Arithmetic - Operations with Decimals and Negatives

  • Four operations with negative numbers.
  • Estimating and rounding.
  • Adding and subtracting decimals.
  • Multiply and divide, including decimals.
  • Problem solving using the four operations.
  • Standard form.

Algebra – Linear Equations

  • Substitute into expressions and formulae, including scientific formulae.
  • BIDMAS
  • Solve equations using efficient methods.
  • Construct and solve linear equations.

Geometry - Angles

  • Angle notation.
  • Understand and apply the angle rules:
  • Angles on a straight line.
  • Angles in a triangle.
  • Angles around a point.
  • Angles in a quadrilateral.
  • Vertically opposite angles.
  • Alternate, corresponding and co-interior angles.
  • Angles in polygons.
  • Problem solving.
  • Simple angle proofs.

 Probability - Sets & Unions

  • Language of probability and the probability scale.
  • Theoretical probability.
  • Experimental probability.
  • Sample spaces.

Number – Percentages

  • Convert between FDP (calculator and non-calculator methods).
  • Calculate fractions and percentages of a quantity (calculator and non-calculator methods).
  • Use FDP to compare proportions.
  • Percentage change – including using multipliers and reverse percentage problems.
  • Express one quantity as a percentage of another.

Algebra – Sequences and Relationships

  • Term-to-term rules.
  • Position-to-term rule (nth term) for linear sequences.
  • Recognise geometric sequences.
  • Quadratic sequences.

Constructions

  • Accurately construct: Triangles, angle bisectors and perpendicular bisectors.
Spring Term

Statistics

  • Pie charts.
  • Discrete and continuous data.
  • Grouped frequency.
  • Averages and the range.
  • Mean from frequency tables.
  • Stem and leaf diagrams.
  • Hypotheses and questionnaires.
  • Scatter graphs and correlation.

Multiples, Factors and Primes

  • Multiples, factors, highest common factor (HCF), lowest common multiple (LCM).
  • Squares and square roots, triangular numbers.
  • Product of prime factors.

Linear Equations: Graphically and Algebraically 

  • Recognise and plot linear graphs.
  • Find the gradient and intercept of linear graphs.
  • Use to find the equation of linear graphs.
  • Recognise quadratic and cubic graphs.
  • Recognise, sketch and produce graphs of linear functions.

Geometry - Perimeter, Area & Volume

  • Perimeter of shapes, including compound shapes.
  • Circumference of circles.
  • Recap area of: Rectangles, triangles, parallelograms, trapezia.
  • Area of circles.
  • Surface area.
  • Volume of prisms and cylinders.

Ratio

  • Simplify ratios.
  • Divide a quantity into two or more parts in a given ratio.
  • Solve ratio and proportion problems.
  • Solve problems involving direct proportion.
  • Solve problems using proportional reasoning.
  • Recognise graphs of direct proportion.
Summer Term

Algebraic Expressions

  • Simplify expressions.
  • Algebraic notation.
  • Expand brackets.
  • Factorising expressions.
  • Problem-solving.

Geometry - Transformations

  • Transformations: Translations, reflections, rotations, enlargement.
  • Congruence and similarity.

Diagrams and Constructions

  • Use scale factors, scale diagrams and maps.
  • Construct similar shapes by enlargement.

Revision

Functional Maths.

Finance.


Further extension and enrichment opportunities

Pupils can go to the ICT room during the first half of lunchtime to complete any homework, they can also use the computers to go on MyMaths, TT Rockstars or SATs Companion (Y6).  Maths teachers are available at lunchtime should pupils need help with homework.
 

Competitions and Challenges

Pupils have an opportunity to take part in the UK Junior Maths Challenge, where we have been quite successful over the last few years with pupils from Years 6, 7 and 8 receiving a number of gold, silver and bronze certificates. We usually have pupils who do so well that they qualify for the next round. The Junior Maths Challenge is aimed at pupils in Year 8 or below in England and Wales and is run by the University of Leeds. The challenge involves answering 25 multiple choice questions in one hour and is sat in school under normal exam conditions. 

We take part in the Team Maths Challenge, also run by the University of Leeds, where we take a team of 4 Year 8 pupils to York to compete against other schools. We have also had successes competing in local competitions at Shelley College and Honley High School in recent years.

The STEM (Science Technology Engineering and Maths) club is being run again this year, with pupils working on projects involving all the STEM subjects.

 

Numeracy Mentors

Year 8 Numeracy Mentors help a group of Year 6 pupils with their times tables during AR time; last year there were 19 Numeracy Mentors and around 30 Year 6 pupils. They were given an opportunity to practise the times tables that they struggle with; each Year 6 has a set of cards which they revise from, each one with a different times table on it.

The Year 6 pupils are timed using a stopwatch to see how quickly they can recite a set of times tables, when significant progress has been made they are given rewards and set a harder challenge next time. Progress is monitored using a booklet.

At the end of the school year, the Year 6 pupils will be given a reward for attending and completing their times tables.

 


Careers in this subject

  • Accountancy
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  • Automotive
  • Biosciences
  • Business support services
  • Chemicals
  • Construction
  • Consultancies
  • Education
  • Engineering
  • Environment
  • Exploration geophysics
  • Financial services
  • Food & drink
  • Government
  • Healthcare
  • Insurance
  • IT & computing
  • Media
  • Metals & minerals
  • Operational research
  • Pharmaceuticals
  • Recruitment
  • Academic research
  • Science
  • Telecoms
  • Transport/travel

Resources

If you would like to help your child with their Maths or find ways of helping them to practice their Maths, the following websites are recommended:
 

For Parents

Oxford Owl
Family Maths Toolkit


For Pupils

BBC Bitesize KS2 Maths
BBC Bitesize KS3 Maths
Maths Is Fun
Maths Zone
Top Marks
MyMaths
TT Rockstars
Maths Playground
Bar Modelling Help
SATs Companion

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