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
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
The vocabulary of probability and the probability scale
Understanding and using estimates of measures of probability (including equally likely outcomes), or from relative frequency
Using diagrams to represent outcomes of compound events, recognizing when events are independent
Comparing experimental data and theoretical probabilities
Mutually exclusive outcomes and conditional probabilities
