# Mathematics

## Department Information

In the mathematics department we recognise that some students will find the subject easier than others and so we set pupils in ability groups from Year 7 so that they are working with others students at the same level.  Students are tested every half-term which gives us the opportunity to monitor their progress closely and to ensure they are being taught in the most appropriate ways to maximise their progress.  We use very detailed systems for monitoring our students’ progress.

We believe in the importance of basic maths skills and so all pupils in Year 7 and Year 8 spend a significant amount of time working on the ‘Maths Toolkit’.  This is a set of the 10 most important skills required to succeed in maths.  We aim for all pupils to have secured all 10 skills by the end of Year 8.

All students study the Edexcel Specification A GCSE course.  This is a linear course which means that all the examinations are taken at the end of the course – at the end of Year 11.  This specification is designed to be holistic and allows links to be made between different elements of the syllabus.

Pupils work through the GCSE Mathematics course from Year 7 to Year 11, working through all the topics on one level each year as well as consolidating work they have studied in previous years.  Pupils will work at the most appropriate level for their ability depending on the progress they made in the previous year.  The list below is a very brief and flexible outline of the content that will be covered in each year.  This will be personalised depending on the needs of individual pupils.

### Year 7:

• Plot and read coordinates in all four quadrants.
• Find the coordinates of points identified by geometrical information.
• Use formula with one or two operations.
• Plot conversion graphs from a table of values.
• Write down the next term of non-linear sequence when given the term-to-term rule in words.
• Describe the rule for continuing a linear sequence in numbers and pictures.
• Derive expressions.
• Collect like terms in expressions with more than one variable.
• Substitute values into expressions with more than one variable.
• Interpret simple pie charts.
• Calculate the averages and range from a data set.
• Make comparisons using data from bar charts.
• Write down the mode from a discrete frequency table.
• Calculate the total frequency from a discrete frequency distribution.
• Test a given statement by interpreting dual bar charts.
• Know the square numbers up to 122.
• Indicate non-integer values on a number line.
• Know equivalent fractions, decimals and percentages.
• Simplify fractions to their lowest terms.
• Solve ratio and proportion problems particularly involving recipes.
• Calculate fractions of an amount.
• Use 2D representations of 3D shapes including views and isometric drawings.
• Calculate the size of missing angles on a straight line, triangles and vertically opposite angles.
• Recognise and identify the order of rotational symmetry of 2D shapes.
• Use Venn diagrams.

### Year 8:

• Construct and interpret pie charts.
• Compare the averages and range for two distributions.
• List all outcomes for single events in a systematic way.
• Calculate probabilities from a table of outcomes.
• Work out calculations involving squares and cubes.
• Convert between different currencies.
• Write fractions as decimals and percentages when the denominator is not a multiple of 100.
• Convert between mixed numbers and improper fractions.
• Multiply fractions by integers.
• Calculate percentage increase and decrease.
• Multiply and divide negative numbers.
• Round numbers to the nearest integer, one and two decimal places and one significant figure.
• Measure bearings.
• Use and interpret maps and scale drawings.
• Reflect shapes in the x and y axis.
• Classify quadrilaterals by their geometric properties.
• Find missing interior and exterior angles in quadrilaterals when given three interior angles.
• Construct triangles using a ruler and protractor.
• Write down the next two terms of a sequence for sequences that go into negatives.
• Complete picture pattern sequences and answer questions on the patterns.
• Use formula with one or two operations with negative number inputs.
• Form more complex algebraic expressions.
• Solve equations with two operations.
• Substitute values into formulas and expressions involving two variables and negative numbers.
• Draw and label straight lines parallel to the x and y axes.
• Interpret distance-time graphs.

### Year 9:

• Use two letter notation for a line and three letter notation for an angle.
• Measure and draw bearings for acute and obtuse angles.
• Find missing angles using properties of corresponding, alternate and interior angles.
• Understand and use the interior angle properties of polygons.
• Understand simple proofs involving triangles and quadrilaterals.
• Calculate the area of a triangle.
• Recall and use the formula for circumference and area of a circle.
• Calculate the surface area and volume of shapes made from cubes and cuboids.
• Convert between different units for area.
• Draw front and side elevations and the plans of shapes made from simple solids.
• Use a calculator effectively and efficiently, including using memory and bracket keys and function keys for reciprocals, squares and powers.
• Write one quantity as a fraction of another.
• Calculate average speed from a graph and when given time and distance.
• Draw and interpret scatter graphs.
• Identify the modal class of a frequency table.
• Calculate the mean of a discrete frequency distribution.
• Identify different mutually exclusive outcomes and know that the sum of the probabilities of all these outcomes is 1.
• Write down terms of a quadratic sequence.
• Substitute integers (including negatives) into a formula involving brackets and fractions.
• Factorise simple algebraic expressions by taking out common factors.
• Solve linear equations in which the unknown appears on both sides.
• Form and solve equations from angle problems.
• Draw and interpret graphs, modelling real situations.

### Year 10:

• Estimate the answer to calculations by first rounding to one significant figure.
• Use a multiplier to increase and decrease by a percentage.
• Calculate what the percentage a quantity has increased or decreased by.
• Use and understand the term reciprocal.
• Find the prime factor decomposition of integers.
• Reduce a ratio to its simplest form when given different units.
• Calculate the best value for money when given two or more items.
• Solve proportion problems using the unitary method.
• Add, subtract, multiply and divide mixed numbers.
• Solve problems involving area and circumference of circles.
• Use Pythagoras theorem to find the length of the hypotenuse and the length of a shorter side.
• Calculate the volume and surface area of prisms.
• Apply loci to special problems involving shapes and paths.
• Construct perpendicular bisector of a given line and angle bisectors.
• Calculate and use the angles of regular polygons.
• Use index laws with numerical and algebraic expressions involving multiplication and division of positive integer powers.
• Substitute positive and negative numbers into expressions including expressions involving indices.
• Expand and simplify single terms on brackets where more than one bracket is involved.
• Solve equations where the unknown appears on both sides and where brackets or fractions are involved.
• Work out the nth term of a linear sequence.
• Solve problems by forming and solving equations.
• Generate points and plot graphs of quadratic functions of the form ax2 + bx + c.
• Represent the solution set of a linear inequality on a number line.
• Use axes to specify points in all four quadrants in 3-D.
• Use the line of best fit to estimate missing values on a scatter graph.
• Calculate experimental probability and relative frequencies.
• Compare experimental probabilities to theoretical probabilities.
• Recognise mutually exclusive and exhaustive events.
• Calculate an estimate for the mean from grouped data.
• Set up, solve and interpret growth and decay problems.
• Know the exact values of sin, cos and tan at key angles (0, 30, 45, 60, 90 degrees).

### Year 11:

• Convert between ordinary numbers and standard form.
• Calculate compound interest.
• Find the original quantity after a percentage change.
• Convert between recurring decimals and fractions.
• Understand similarity of triangles and other plane figures and use this to make geometrical inferences.
• Solve practical problems using trigonometry.
• Use trigonometry to solve problems using angle of elevation or depression.
• Know and use circle theorems.
• Enlarge shapes by using any scale factors, including negative scale factors.
• Factorise quadratic expressions.
• Solve equations involving algebraic fractions.
• Simplify algebraic fractions.
• Plot the graphs of cubic functions.
• Find the exact solution of two simultaneous equations in two unknowns by eliminating a variable.
• Calculate the equation of a straight line, including the gradient and y-intercept.
• Use tree diagrams to represent outcomes of combined events.
• Draw and interpret Cumulative frequency diagrams.
• Draw and interpret Box plots.
• Work out a moving average.
• Plot moving average and use trend to estimate next value of two series.
• Find the nth term of a quadratic sequence.

Mr A Scotney
Mr R Harris
Rachel Jagger

## Clubs

Year 11 have targeted revision classes in the months before their exams.  There are always teachers able and willing to help students any night after school if they require extra help or support.  If you come along and want some help with your maths, someone will be there to support you!

## Support Your Child – Useful links and advice

There are many maths websites that can help with your studies.  Here is a selection of some of the best.

www.mymaths.co.uk (You will need the login details from your teacher)

www.mrbartonmaths.com/pupils.htm

www.emaths.org.uk

nrich.maths.org/frontpage

www.waldomaths.com/index.jsp

Times Table Rock Stars – A website that has a huge impact on improving timestables recall.  The Featherstone Academy were the highest grossing school in the North of England.