Cockburn John Charles Academy

Maths

Maths is taught to all students up to GCSE level. The curriculum ensures that students become independent learners and enjoy success in applying their learning to real life contexts. We are committed to combining traditional and successful classroom based approaches to learning with an increasing emphasis on investigations, problem solving and ICT based maths. Trips to maths shows, master classes and GCSE revision sessions are organised each year. This enables students to see maths in everyday life, as well as giving them a useful experience in using and applying maths.

The national curriculum for mathematics aims to ensure that all students:

  • Become fluent in the fundamentals of mathematics, through varied and frequent practice with increasingly complex problems over time, so that students develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately.
  • Reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language.
  • Can solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking down problems.

 

Key Stage 3

Year 7

What will my child learn about in Maths this year?

Half Term 1:

Working with integers (BODMAS)

  • Becoming fluid with the four basic operations (+, -, ÷, x) and using consistent methods.
  • Understand the order in which a sum should be attempted and be able to use brackets and indices within calculations.

Functional project – planning a trip to Disneyland Paris.

Half Term 2:

Basic Algebra and Coordinates

  • Be able to collect like terms and understand how terms are written in algebra
  • Be able to expand brackets and substitute into expressions.
  • Confidently plot coordinates and calculate midpoints of line segments.

Ratio and Proportion

  • Simplify ratios and find equivalent ratios
  • Divide amounts into ratios
  • Be able to solve proportional problems with recipes.

Functional Project – making bath bombs as Christmas gifts.

Half term 3:

Rounding and multiplying and dividing by powers of 10

  • To be able to round to whole numbers, nearest 10, 100, 1000, 1 decimal place and significant figures
  • Be confident with dealing with multiplication and division with powers of 10

Fractions, Decimals and Percentages

  • Find fractions and percentages of amounts.
  • Convert between fractions, decimals and percentages and illustrate these on diagrams.

Functional project – Planning a holiday.

Half term 4:

Equations and Formulae

  • Understand language used in algebra questions.
  • Be able to solve simple equations and rearrange simple formulae
  • Be able to solve and understand inequalities.

Half term 5:

2D shapes, angle rules, area and volume

  • Understand and be able to apply all properties of 2D shapes
  • Know and be able to apply angle rules to find missing angles
  • Understand how to calculate area and perimeter of common 2D shapes
  • Be able to find volume of prisms

Functional project – design a victory garden.

Half term 6:

Statistics

  • Find all averages from lists of data and tables
  • Construct and interpret statistical diagrams.
  • Understand methods for collecting accurate data.

Functional project – Investigating the fitness of year 7 students on Maths sports day .

What type of homework will be set?

Homework will mainly be set online on www.mymaths.co.uk. Students will have individual login details in their planners and access homework set by the class teacher.

How will my child be assessed in Maths?

At the end of each of the units they will have a unit assessment which will be peer marked, teacher assessed and then reflected and improved upon by the students.

How can I support my child’s learning at home?

Revision guides, using their blue book notes and access to websites such as www.mymaths.co.uk and maths watch for video tutorials.

 

Key Stage 3

Year 8

What will my child learn about in Maths this year?

Half term 1:

Working with integers (BODMAS)

  • Manipulation of the four operations including brackets and indices. Fractions, Decimals and Percentages.
  • Be able to convert between and perform the four operations with fractions, decimals and percentages.

Half term 2:

Probability

  • To be able to represent probability on scales and with fractions, decimals and percentages
  • Calculate the probability of an outcome occurring,

Functional project – Probability investigation.

Basic Algebra and Sequences

  • Be able to write and manipulate basic expressions and understand and use the language to describe sequences.

Linear Graphs

  • Be able to draw and interpret linear graphs

Functional project – Mobile Phones

Half term 3:

Metric Units

  • To be able to convert between units and accurately interpret scales.

Transformations

  • Describe and accurately carry out rotations, reflections, translations and enlargements.

Half term 4:

Equations and Formulae

  • Be able to solve equations and substitute and manipulate formulae including brackets and indices.

Functional project – T-totals

Plans and elevations

  • Be able to draw and interpret plans and elevations of 3D shapes

Half term 5:

2D shapes and angle rules, area and volume

  • Know and use properties of 2D shapes
  • Know and be able to reason with rules of angles
  • Be able to calculate the area of 2D shapes and the volume of 3D shapes.

Ratio and Proportion

  • Be able to simplify and divide amounts into given ratios.
  • Solve real-life proportion problems

Functional project – Plan an Easter party

Half term 6:

Statistics

  • Draw and interpret statistical diagrams
  • Calculate basic averages

Constructions and Loci

  • Accurately draw bisectors and loci around points given a set of rules.

Functional project – Spy

 

What type of homework will be set?

Homework will mainly be set online on www.mymaths.co.uk. Students will have individual login details in their planners and access homework set by the class teacher.

How will my child be assessed in Maths?

At the end of each of the units they will have a unit assessment which will be peer marked, teacher assessed and then reflected and improved upon by the students.

How can I support my child’s learning at home?

Revision guides, using their blue book notes and access to websites such as www.mymaths.co.uk and maths watch for video tutorials.

How can my child get extra support in maths?

Sum club is an after school maths club run by the Maths department, to help and support students.

The club is every Thursday after school and students can be directed by their teacher or just come along as a one off drop in.

 

Key Stage 4

What will my child learn in Maths?

Students in Years 9, 10 and 11 are working towards the new GCSE Maths specifications. Students will learn topics from the four mains areas of Mathematics: Number, Algebra, Geometry and Data Handling.

Detail of course content studied across Key Stage 4 in Maths is below (these units are taught across 3 years and at different stages depending on the ability of the students):

GCSE FOUNDATION COURSE OVERVIEW

Integers and Decimals

  • Be able to manipulate all operations and calculations with integers and decimals including the order of operations.

Coordinates

  • Be able to find and use coordinates in 4 quadrants and 3D finding midpoints and endpoints

Fractions, Decimals and Percentages

  • Convert confidently between fractions, decimals and percentages including in functional problems
  • Find fractions and percentages of amounts including increasing and decreasing.

Algebra

  • Be able to write and manipulate linear expressions including the expanding of brackets and factorising.

3D shapes

  • Understand properties of 3D shapes and be able to draw nets of these.

Shape and Angle

  • Know properties of common shapes and use these to solve problems.
  • Understand the basic rules of angles including those in parallel lines and in polygons.

Linear equations and inequalities

  • Be able to solve equations including those with unknowns on both sides and brackets.
  • Understand the inequalities symbols and be able to use them to find integers, solve and represent on a number line.

Collecting Data

  • Know and comment on sampling techniques, two-way tables, bias and critique questionnaires.

Fractions

  • Confidently use the four operations with fractions and mixed fractions

Perimeter and Area

  • Be able to find the perimeter and area of regular polygons and know the formulas to use.

Displaying Data

  • Be able to draw and interpret statistical diagrams

Real-Life Graphs

  • Be able to draw and interpret real life graphs

Circles

  • Be able to calculate the area and Circumference of a circle.

Pythagoras’ Theorem

  • Know and apply Pythagoras’ theorem to find missing sides in right-angled triangles.

Types of Number

  • Be confident in calculating highest common factor, lowest common multiple and prime factor decomposition

Ratio and Proportion

  • Be able to simplify and divide given amounts into ratios.
  • Be able to solve functional ratio and proportion problems

Averages and Range

  • Be able to calculate the four averages from tables and discrete data.
  • Be able to compare data sets

Patterns and Sequences

  • Continue a sequence, (number and pattern) state the rule and find nth terms of sequences.

Trigonometry

  • Know and apply the rules of trigonometry to find missing sides and angles in right angled triangles

Transformations

  • Be able to accurately carry out and describe rotation, reflection, enlargement and translation.

 Linear Graphs

  • Be able to draw and interpret straight line graphs

Compound Measures

  • Be able to convert measures of length, area and volume

Probability

  • Calculate the probability of events and answer functional questions relating to probability

 Surface Area and Volume

  • Be able to find the volume and surface area of 3D shapes, including cylinders.

Symmetry, Similarity and Congruence

  • Understand what similarity and congruence are and be able to apply the concepts to exam problems

Formulae

  • Rearrange and manipulate formulae.

Real life maths

  • Apply maths to real life situations such as utility bills etc.

Constructions

  • Be able to accurately construct bisectors, triangles and loci with mathematical instruments

Standard Form

  • Convert large and small numbers into standard form and vice versa
  • Add and subtract numbers in standard form
  • Multiply and divide numbers in standard form

Spheres, Cones and Pyramids

  • Find the surface area and volume of spheres, pyramids, cones and composite solids

Simultaneous Equations

  • Be able to solve linear simultaneous equations by elimination.

Further Percentage

  • Be able to use successive percentages and solve reverse percentage problems

Further Proportion

  • Be able to solve problems with direct and inverse proportionality

Quadratics

  • Factorise, expand and draw quadratics to be able to solve quadratics problems

Vectors

  • Use vector notation and find missing vectors from diagrams

Quadratic Graphs

  • Accurately substitute into and draw quadratic graphs to allow them to be solved.

Further Graphs

  • Be able to identify common graphs by their equation

Algebraic Proof

Use algebra to prove a statement or equation is always true.

 

GCSE HIGHER COURSE OVERVIEW

Integers and Decimals

  • Be able to manipulate all operations and calculations with integers and decimals including the order of operations.

Coordinates

  • Be able to find and use coordinates in 4 quadrants and 3D finding midpoints and endpoints

Fractions, Decimals and Percentages

  • Convert confidently between fractions, decimals and percentages including in functional problems
  • Find fractions and percentages of amounts including increasing and decreasing.
  • Convert recurring decimals to fractions
  • Solve problems with reverse percentage and compound interest.

Algebra

  • Be able to write and manipulate linear expressions including the expanding of brackets and factorising.
  • Factorise quadratics including those with an x2coefficient greater than 1.

2D and 3D shapes

  • Understand properties of 3D shapes and be able to draw nets of these.

Formulae and Linear Equations

  • Be able to solve equations including those with unknowns on both sides and brackets.
  • Understand the inequalities symbols and be able to use them to find integers, solve and represent on a number line.
  • Rearrange linear and quadratic equations

Collecting Data

  • Design and use data-collection sheets for grouped, discrete and continuous data
  • Collect data using various methods          
  • Sort, classify and tabulate data and discrete or continuous quantitative data

Shape and Angle

  • Know properties of common shapes and use these to solve problems.
  • Understand the basic rules of angles including those in parallel lines and interior and exterior angles

Fractions

  • Confidently use the four operations with fractions and mixed fractions
  • Solve functional exam style problems with fractions

Perimeter and Area

  • Be able to find the perimeter and area of regular polygons and know the formulas to use.

Iteration (Trial and Improvement)

  • Be able to use iterative techniques to find a more accurate solution to a problem.

Displaying Data

  • Be able to draw and interpret statistical diagrams including histograms.

Pythagoras’ Theorem and Trigonometry

  • Know and apply Pythagoras’ theorem to find missing sides in right-angled triangles
  • Know and apply the rules of trigonometry to find missing sides and angles in right angled triangles

Types of Number

  • Be confident in calculating highest common factor, lowest common multiple and prime factor decomposition

Ratio and Scale

  • Be able to simplify and divide given amounts into ratios.
  • Be able to solve functional ratio and proportion problems
  • Use volume and area scale factors to calculate missing values

Averages and Range

  • Be able to calculate the four averages from tables and discrete data.
  • Be able to compare data sets

Patterns and Sequences

  • Continue a sequence, (number and pattern) state the rule and find nth terms of sequences including quadratic sequences

Transformations

  • Be able to accurately carry out and describe rotation, reflection, enlargement and translation including negative enlargements

Real-Life Graphs

  • Be able to draw and interpret real life graphs

Compound Measures

  • Be able to convert measures of length, area and volume

Probability

  • Calculate the probability of events and answer functional questions relating to probability
  • Be able to draw tree diagrams and find the probability of independent and dependent events

Volume and Surface Area

  • Be able to find the volume and surface area of 3D shapes including cones and spheres

Similarity and Congruence

  • Understand what similarity and congruence are and be able to apply the concepts to exam problems.
  • Be able to prove that two shapes are similar or congruent to one another

Rearranging Formula

  • Be able to change the subject of a formula including the use of factorising

Real life maths

  • Apply maths to real life situations such as utility bills and investments

Constructions and Loci

  • Be able to accurately construct bisectors, triangles and loci with mathematical instruments

Simultaneous Equations

  • To be able to solve linear and quadratic simultaneous equations

Circle Theorems

  • Know circle theorems and use these to find missing angles
  • Be able to prove circle theorems using angle rules

Index Notation and Surds

  • Know and apply laws of indices (including fractional and negative) and know and apply rules of surds

Quadratic Functions, Graphs & Equations 

  • Generate points and plot graphs of simple quadratic functions, then more general quadratic function
  • Find approximate solutions of a quadratic equation from the graph of the corresponding quadratic function
  • Find the intersection points of the graphs of a linear and quadratic function, knowing

Inequalities (Quadratics)

  • Solve two linear inequalities in x, find the solution sets and compare them to see which value of x satisfies both solve linear inequalities in two variables algebraically
  • Represent the solution set for inequalities using set notation, i.e. curly brackets and ‘is an element of’ notation

Sine & Cosine Rules

  • Know and apply the sine rule and cosine rule to find unknown lengths and angles
  • Know and apply to calculate the area, sides or angles of any triangle

Algebraic Fractions

  • Add, Subtract, Multiply and divide algebraic fractions
  • Simplify algebraic fractions.

Algebraic Proof

  • Solve ‘Show that’ and proof questions using consecutive integers (nn + 1), squares a2b2, even numbers 2n, odd numbers 2n +1.

Vectors

  • Vectors to describe translations
  • Use and interpret vectors as displacements in the plane (with an associated direction)

Functions

  • Use function notation
  • Find f(x) + g(x) and f(x) – g(x), 2f(x), f(3x) etc algebraically
  • Find the inverse of a linear function

Further Graphs & Functions

  • Plot and recognise linear, quadratic, cubic, reciprocal, exponential and circular functions, = sin and    y = cos x within the range -360º to +360º
  • Use the graphs of these functions to find approximate solutions to equations,
  • eg given x find y (and vice versa)
  • Interpret graphs of quadratic functions from real-life problems

Transformations of Graphs

  • Sketch translations and reflections of a given function

 

What type of homework will be set?

Homework will mainly be set online on www.mymaths.co.uk. Students will have individual login details in their planners and access homework set by the class teacher.

Also further into Year 11 the students may be given homework via the Pixl app or past exam papers to complete.

How will my child be assessed in Maths?

There is no coursework and students work towards end of Year 11 exams. Pre public exams take place each year across Key Stage 4.

At the end of each of the units above students will have a unit assessment which will be peer marked, teacher assessed and then reflected and improved upon by the students.

What can my child move onto with Maths?

Most Post 16 courses require a grade 5 or above in Mathematics. Maths GCSE will provide a good platform to study AS or A level Mathematics and students will need at least a grade 5 or even grade 6 to be allowed to study Mathematics or Mathematical subjects (e.g. physics) at A level.

A good grade at GCSE Mathematics is widely valued by employers as it indicates an individual with strong problem solving abilities.