# KS3 & 4 Mathematics

As our GCSE exam is still a tiered exam the pupils are in tiered classes from year 7 onwards therefore there are 2 curriculums which are delivered.  Those pupils in G and T follow the Higher Curriculum and the remaining pupils the Foundation.

In both the Higher and Foundation curriculum we continue to extend the pupils knowledge of the following.
Content only delivered to the higher pupils is in bold all other content is delivered to all.

Year 8

• basic number by looking at positive and negative numbers, multiples, factors, and powers and roots.  Decimals and fractions, there connection with each other and calculations with both, converting recurring decimals into fractions. Introduce percentages and the connection between all three and learn to convert between as well as to calculate percentages, percentage changeLaws of indices understanding how these work and estimation in order to make a rough answer to support checking for correct answers
• shapes by learning to calculate area, volume and surface area of basic shapes, all shapes, including circles and cylinders.  We then look at the basic angle properties of 2D shapes. Plans and elevations and Pythagoras theorem.
• All transformations, being able to perform and recognise in order to describe them.
• Constructing shapes which will include complex drawings and a need for accuracy which can only happen by use of particular methods, which leads onto Loci (equidistant from)
• algebra by practising manipulating algebra by simplifying, factorising and expanding.  Also how to solve equations, in the higher scheme we take this to a higher level looking at expressions which include powers
• graphs and how they represent real life situations, how to use them to problem solve and how to produce accurately drawn graphs from information.  What the gradient represents and how to find the equation of a line and what we can infer from this. Using y = mx + c and recognising parallel and perpendicular lines.
• Charts, such as pie charts, stem and leaf diagrams and scatter diagrams, we look at their uses and how to produce them.
• Understanding the difference between experimental probability and theoretical probability, estimating the probability of an event happening and using tree diagrams for complex situations.

Year 9

• Squares, cubes and roots which leads onto Index notation.  Identifying prime factors.  Extending calculations with fractions to including mixed numbers. Finding percentages of amounts.  Laws of indices to include zero, fractional and negative indices.  Calculations with powers.  Standard form, including converting between ordinary numbers and standard form as well as calculations in it.  Surds, what they are and how to simplify and expand brackets involving them.  Using multipliers. Ratios.
• Using and substituting into formulae, expanding double brackets and factorising more complex expressions.  Solving equations with unknowns on both sides and including brackets. Looking at inequalities. Nth term. Using the nth term. Factorising quadratics. Finding the nth term of quadratic sequences
• Two-way tables, time series graphs and using all previously learnt graphs.  Quadratic, cubic and reciprocal graphs, recognising them, drawing them and using them to solve the equations.  Equation of a circle
• Using angle properties of 2D shapes.  Finding interior and exterior angles. Area, volume and surface area of all shapes, including converting between units.  Pythagoras theorem and Trigonometry in right angled triangles.  Volume and surface area of complex shapes which involve the use of complex formula.
• Averages, looking at the basic 4 averages, mode, median, mean and range.  How to calculate them and when to use which one.  Estimated mean