Board
Edexcel
Why do an Ester Revision course in Maths at Ashbourne College?
Students will benefit from the individual attention which is a key feature of the Ashbourne Easter Revision programme.
There will be revision in the following areas
NumberAlgebraGeometryMeasuresStatistics
- Adding, subtracting, multiplying and dividing number (whole numbers, intergers, fractions, decimals and numbers in index form, negative numbers)
- Ordering rational numbers, including integers, decimal and fractions
- Identifying factors, multiples and prime numbers, and finding the prime factor decomposition of positive integers, finding common factors and common multiples
- Square and square root (positive and negative), and cube and cube root, using index notation
- Index laws for multiplication and division of integer, fractional and negative powers, and interpret, order and calculate with numbers in
- Fractions: finding equivalent fractions, simplifying a fraction, adding and subtracting fractions, using decimal notation
- Percentage: compare proportions and repeated proportional change, as well as direct and indirect proportion
- Ratios: using them and writing them in their simplest form, and writing a given quantity into a given ratio
- The hierarchy of operations, including inverse operations
- Surds in exact calculations
- Calculating upper and lower bounds
- Manipulating algebraic expressions by collecting like terms, multiplying a single term bracket, factorising quadratic expressions and simplifying rational expressions
- Setting up and solving simple equations including simultaneous equations in two unknowns
- Solving quadratic equations
- Formula: deriving one, substituting numbers and changing the subject
- Solving line inequalities in one or two variables, and represent the solution using a coordinate grid
- Generate terms of a sequence using term-to-term and position-to-term definitions of the sequence
- Finding and using the nth term of an arithmetic sequence using linear expressions
- Plane and plot: recognize and plot equations that correspond to straight-line graphs in the coordinate plane, including finding gradients
- Interpreting and analyzing graphs
- Drawing and plotting a range of mathematical functions, including cubic functions, the exponential function, the circular function.
- Drawing various graphs after real life situations
- Properties of angles at a point, angles on a straight line (including right angles) perpendicular lines, and opposite angles at a vertex
- The angle properties of parallel lines, triangles and quadrilaterals
- Calculating and using the sums of the interior and exterior angles of polygons
- The properties and definitions of special types of quadrilateral, including square, rectangle, parallelogram, trapezium, kite and rhombus
- Recognising reflection and rotation symmetry of 2-D shapes
- Understanding congruence and similarity, including the use of SSS, SAS, ASA and RHS conditions
- Use Pythagoras’ theorem in 2-D and 3-D, using the trigonometric ratios and the sine and cosine rules to solve 2-D and 3-D problems
- Understanding and constructing geometrical proofs usingcircle theorem
- Using 2-D representation of 3-D shapes
- Describing and transforming 2-D shapes using single or combined rotations, reflections, translations, or enlargements by a positive, fractional or negative scale factor and distinguish properties that are preserved under particular transformations
- Carrying out constructions, including constructing loci
- Calculate perimeters and areas of shapes made from triangles, rectangles and other shapes
- Using vectors to solve problems
- The effect of enlargement for perimeter, area and volume of shapes and solids
- The inaccuracy of measurements, making estimates and converting measurements from one unit to another
- The use of bearings
- The use of compound measures, including speed and density
- Using statistical problem solving process/handling data cycle
- Identifying possible sources of bias
- Designing an experiment of survey
- Extracting data from tables and creating charts and diagrams from various data types
- Calculating median, mean, range, quartiles and interquatile range, mode and modal class
- Interpreting a wide range of graphs and diagrams and draw conclusions
- Recognising correlation and draw and/or use lines of best fit by eye, understanding what these represent
- Comparing distributions and make inferences
