Linear+Higher

Mock Papers



Scheme of work

//By the end of the module students should be able to … // ||  **Grade **  || F E G D  || F F E D D D  || D D C  || C <span style="font-family: Arial,sans-serif; font-size: 10pt;">C <span style="font-family: Arial,sans-serif; font-size: 10pt;">B  || <span style="font-family: Arial,sans-serif; font-size: 10pt;">A <span style="font-family: Arial,sans-serif; font-size: 10pt;">D <span style="font-family: Arial,sans-serif; font-size: 10pt;">A <span style="font-family: Arial,sans-serif; font-size: 10pt;">C <span style="font-family: Arial,sans-serif; font-size: 10pt;">A  || <span style="font-family: Arial,sans-serif; font-size: 10pt;">D <span style="font-family: Arial,sans-serif; font-size: 10pt;">C <span style="font-family: Arial,sans-serif; font-size: 10pt;">C/B <span style="font-family: Arial,sans-serif; font-size: 10pt;">C  || <span style="font-family: Arial,sans-serif; font-size: 10pt;">F <span style="font-family: Arial,sans-serif; font-size: 10pt;">E <span style="font-family: Arial,sans-serif; font-size: 10pt;">D <span style="font-family: Arial,sans-serif; font-size: 10pt;">C <span style="font-family: Arial,sans-serif; font-size: 10pt;">D  || <span style="font-family: Arial,sans-serif; font-size: 10pt;">B <span style="font-family: Arial,sans-serif; font-size: 10pt;">D <span style="font-family: Arial,sans-serif; font-size: 10pt;">A <span style="font-family: Arial,sans-serif; font-size: 10pt;">D  || <span style="font-family: Arial,sans-serif; font-size: 10pt;">B <span style="font-family: Arial,sans-serif; font-size: 10pt;">D/C <span style="font-family: Arial,sans-serif; font-size: 10pt;">B <span style="font-family: Arial,sans-serif; font-size: 10pt;">A-E  || <span style="font-family: Arial,sans-serif; font-size: 10pt;">C <span style="font-family: Arial,sans-serif; font-size: 10pt;">C <span style="font-family: Arial,sans-serif; font-size: 10pt;">C <span style="font-family: Arial,sans-serif; font-size: 10pt;">D <span style="font-family: Arial,sans-serif; font-size: 10pt;">C <span style="font-family: Arial,sans-serif; font-size: 10pt;">C  || <span style="font-family: Arial,sans-serif; font-size: 10pt;">D <span style="font-family: Arial,sans-serif; font-size: 10pt;">D  || <span style="font-family: Arial,sans-serif; font-size: 10pt;">G <span style="font-family: Arial,sans-serif; font-size: 10pt;">C <span style="font-family: Arial,sans-serif; font-size: 10pt;">C  || <span style="font-family: Arial,sans-serif; font-size: 10pt;">F <span style="font-family: Arial,sans-serif; font-size: 10pt;">D <span style="font-family: Arial,sans-serif; font-size: 10pt;">E <span style="font-family: Arial,sans-serif; font-size: 10pt;">C <span style="font-family: Arial,sans-serif; font-size: 10pt;">B <span style="font-family: Arial,sans-serif; font-size: 10pt;">D <span style="font-family: Arial,sans-serif; font-size: 10pt;">C  || <span style="font-family: Arial,sans-serif; font-size: 10pt;">D <span style="font-family: Arial,sans-serif; font-size: 10pt;">B <span style="font-family: Arial,sans-serif; font-size: 10pt;">D  || <span style="font-family: Arial,sans-serif; font-size: 10pt;">D <span style="font-family: Arial,sans-serif; font-size: 10pt;">D <span style="font-family: Arial,sans-serif; font-size: 10pt;">E  || <span style="font-family: Arial,sans-serif; font-size: 10pt;">D  || <span style="font-family: Arial,sans-serif; font-size: 10pt;">C || <span style="font-family: Arial,sans-serif; font-size: 10pt;">B <span style="font-family: Arial,sans-serif; font-size: 10pt;">B  || <span style="font-family: Arial,sans-serif; font-size: 10pt;">C <span style="font-family: Arial,sans-serif; font-size: 10pt;">D – A*    <span style="font-family: Arial,sans-serif; font-size: 10pt;">B <span style="font-family: Arial,sans-serif; font-size: 10pt;">D – A*  ||
 * **<span style="font-family: Arial,sans-serif;">General Topic ** ||  **<span style="font-family: Arial,sans-serif;">No. of Hours* **  ||  **<span style="font-family: Arial,sans-serif;">Objectives **
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Whole numbers ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">1 – 3   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Understand and order integers
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">multiply and divide positive integers
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">multiply and divide negative integers
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Round whole numbers to the nearest, 10, 100, 1000, …
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Multiply and divide whole numbers by a given multiple of 10
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Check their calculations by rounding, e.g. 29 ´ <span style="font-family: Arial,sans-serif; font-size: 10pt;"> 31 » <span style="font-family: Arial,sans-serif; font-size: 10pt;"> 30 ´ <span style="font-family: Arial,sans-serif; font-size: 10pt;"> 30 ||  <span style="font-family: Arial,sans-serif; font-size: 10pt;">G
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Decimals ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">3 – 5   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Put digits in the correct place in a decimal number
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Write decimals in ascending order of size
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Approximate decimals to a given number of decimal places or
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">significant figures
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Multiply and divide decimal numbers by whole numbers and decimal numbers (up to 2 dp), e.g. 266.22 ¸ <span style="font-family: Arial,sans-serif; font-size: 10pt;"> 0.34
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Know that e.g. 13.5 ¸ <span style="font-family: Arial,sans-serif; font-size: 10pt;"> 0.5 = 135 ¸ <span style="font-family: Arial,sans-serif; font-size: 10pt;"> 5
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Check their answer by rounding, know that e.g. 2.9 ´ <span style="font-family: Arial,sans-serif; font-size: 10pt;"> 3.1 » <span style="font-family: Arial,sans-serif; font-size: 10pt;"> 3.0 ´ <span style="font-family: Arial,sans-serif; font-size: 10pt;"> 3.0 ||  <span style="font-family: Arial,sans-serif; font-size: 10pt;">F
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Fractions: Addition and subtraction ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">1 – 3   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Write a fraction in its simplest form and recognise equivalent fractions
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Compare the sizes of fractions using a common denominator
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Add and subtract fractions by using a common denominator
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Write an improper fraction as a mixed number, and visa versa
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Add and subtract mixed numbers || <span style="font-family: Arial,sans-serif; font-size: 10pt;">F
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Fractions: Multiplication and division ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">1 – 3   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Convert a fraction to a decimal, or a decimal to a fraction
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Find the reciprocal of whole numbers, fractions, and decimals
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Multiply and divide a fraction by an integer, by a unit fraction and by a general fraction (expressing the answer in its simplest form)
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Convert a fraction to a recurring decimal (and visa versa)
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Use fractions in contextualised problems || <span style="font-family: Arial,sans-serif; font-size: 10pt;">D
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Coordinates ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">1 – 3   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Plot and reading coordinates on a coordinate grid (in all four quadrants)
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Understand that one coordinate identifies a point on a line, two coordinates identify a point in a plane and three coordinates identify a point in space, and use the terms ‘1-D’, ‘2-D’ and ‘3-D’
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Find the coordinates of the fourth vertex of a parallelogram
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Identify the coordinates of the vertex of a cuboid on a 3-D grid
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Writing down the coordinates of the midpoint of the line connecting two points
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Calculate the length of the line segment joining to point in the plane (all four quadrants) || <span style="font-family: Arial,sans-serif; font-size: 10pt;">F
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Introduction to algebra ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">1 – 3   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Simplify algebraic expressions in one or more like terms by addition and subtraction
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Multiply and divide with letters and numbers
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Multiply and divide powers of the same letter
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Understand and use the index rules to simplify algebraic expressions
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Use brackets to expand and simplify simple algebraic expressions || <span style="font-family: Arial,sans-serif; font-size: 10pt;">E
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Angles ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">5 – 7   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Distinguish between acute, obtuse, reflex and right angles
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Use angle properties on a line and at a point to calculate unknown angles
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Use angle properties of triangles and quadrilaterals to calculate unknown angles
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Use parallel lines to identify alternate and corresponding angles
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Calculate interior and exterior angles in a polygon
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Understand and use bearings || <span style="font-family: Arial,sans-serif; font-size: 10pt;">F
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Collecting data ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">3 – 5   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Design a suitable question for a questionnaire
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Understand the difference between: primary and secondary data; discrete and continuous data
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Design suitable data capture sheets for surveys and experiments
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Understand about bias in sampling
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Choose and justify an appropriate sampling scheme, including random and systematic sampling
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Deal with practical problems in data collection, such as non-response, missing and anomalous data || <span style="font-family: Arial,sans-serif; font-size: 10pt;">C
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Charts and graphs ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">1 – 3   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Represent data as:
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Pie charts (for categorical data)
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Bar charts and histograms (equal class intervals)
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Frequency polygons
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Choose an appropriate way to display discrete, continuous and categorical data
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Understand the difference between a bar chart and a histogram
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Compare distributions shown in charts and graphs || <span style="font-family: Arial,sans-serif; font-size: 10pt;">E
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">2-D shapes ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">1 – 3   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Construct:
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">An equilateral triangle with a given side
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">The mid-point and perpendicular bisector of a line segment
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">The perpendicular from a point on a line
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">The bisector of an angle
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">The angles 60, 30 and 45 degrees
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">A regular hexagon inside a circle, etc
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">A region bounded by a circle and an intersecting line
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">A path equidistant from 2 points or 2 line segments, etc || <span style="font-family: Arial,sans-serif; font-size: 10pt;">E
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Properties of triangles and quadrilaterals ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">3 – 5   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Mark parallel lines in a diagram
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Find missing angles using properties of corresponding angles and alternate angles, giving reasons
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Find the three missing angles in a parallelogram when one of them is missing
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Identify and list the properties of quadrilaterals (including kites)
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Name all quadrilaterals that have a pair of opposite sides that are equal || <span style="font-family: Arial,sans-serif; font-size: 10pt;">G
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Factors and multiples ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">1 – 3   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Find: squares; cubes; square roots; cube roots of numbers, with and without a calculator (including the use of trial and improvement)
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Understand odd and even numbers, and prime numbers
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Find the HCF and the LCM of numbers
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Write a number as a product of its prime factors, e.g. 108 = 22 ´ <span style="font-family: Arial,sans-serif; font-size: 10pt;"> 33 || <span style="font-family: Arial,sans-serif; font-size: 10pt;">E
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Percentages ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">5 – 7   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Understand that a percentage is a fraction in hundredths
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Write a percentage as a decimal; or as a fraction in its simplest terms
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Write one number as a percentage of another number
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Calculate the percentage of a given amount
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Find a percentage increase/decrease of an amount
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Find a reverse percentage, e.g. find the original cost of an item given the cost after a 10% deduction
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Use a multiplier to increase by a given percent, e.g. 1.1 ´ <span style="font-family: Arial,sans-serif; font-size: 10pt;"> 64 increases 64 by 10%
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Calculate simple and compound interest for two, or more, periods of time || <span style="font-family: Arial,sans-serif; font-size: 10pt;">G
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Perimeter and area ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">1 – 3   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Use Pythagoras’ theorem to find unknown lengths, e.g. the height of an isosceles triangle given the lengths of all three sides
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Find the perimeter and area of shapes made up from triangles and rectangles
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Find when numbers are given to a specific degree of accuracy, the upper and lower bounds of perimeters and areas
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Convert between units of area ||  <span style="font-family: Arial,sans-serif; font-size: 10pt;">C
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">3-D shapes ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">1 – 3   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Count the vertices, faces and edges of 3-D shapes
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Draw nets of solids and recognise solids from their nets
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Draw and interpret plans and elevations
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Draw planes of symmetry in 3-D shapes
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Recognise and name examples of solids, including prisms, in the real world ||  <span style="font-family: Arial,sans-serif; font-size: 10pt;">D/G
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Solving linear equations ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">5 – 7   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Solve linear equations with one, or more, operations (including fractional coefficients)
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Solve linear equations involving a single pair of brackets || <span style="font-family: Arial,sans-serif; font-size: 10pt;">C
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Patterns and sequences ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">3 – 5   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Find the missing numbers in a number pattern or sequence
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Find the //n//th term of a number sequence as an algebraic expression
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Explain why a number is, or is not, a member of a given sequence
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Use a calculator to produce a sequence of numbers ||  <span style="font-family: Arial,sans-serif; font-size: 10pt;">E
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Brackets ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">1 – 3   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Expand or factorise algebraic expressions involving one pair of brackets
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Expand and simplify expressions involving two pairs of brackets
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Factorise quadratic expressions (including the difference of two squares) || <span style="font-family: Arial,sans-serif; font-size: 10pt;">D
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Formulae ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">5 – 7   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Use letters or words to state the relationship between different quantities
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Substitute positive and negative numbers into simple algebraic formulae
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Substitute positive and negative numbers into algebraic formulae involving powers
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Find the solution to a problem by writing an equation and solving it
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Change the subject of a formula, e.g. convert the formula for converting Centigrade into Fahrenheit into a formula that converts Fahrenheit into Centigrade
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Generate a formula from given information, e.g. find the formula for the perimeter of a rectangle given its area A and the length of one side || <span style="font-family: Arial,sans-serif; font-size: 10pt;">D
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Circle theorems ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">5 – 7   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Understand, prove and use circle theorems (see below)
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Use circle theorems to find unknown angles and explain their method- quoting the appropriate theorem(s)

<span style="font-family: Arial,sans-serif; font-size: 10pt;">B <span style="font-family: Arial,sans-serif; font-size: 10pt;">B <span style="font-family: Arial,sans-serif; font-size: 10pt;">B <span style="font-family: Arial,sans-serif; font-size: 10pt;">B <span style="font-family: Arial,sans-serif; font-size: 10pt;">A <span style="font-family: Arial,sans-serif; font-size: 10pt;">A <span style="font-family: Arial,sans-serif; font-size: 10pt;">A <span style="font-family: Arial,sans-serif; font-size: 10pt;">A  || <span style="font-family: Arial,sans-serif; font-size: 10pt;">C <span style="font-family: Arial,sans-serif; font-size: 10pt;">B <span style="font-family: Arial,sans-serif; font-size: 10pt;">A ||  <span style="font-family: Arial,sans-serif; font-size: 10pt;">E <span style="font-family: Arial,sans-serif; font-size: 10pt;">A  || <span style="font-family: Arial,sans-serif; font-size: 10pt;">D  || <span style="font-family: Arial,sans-serif; font-size: 10pt;">C <span style="font-family: Arial,sans-serif; font-size: 10pt;">C <span style="font-family: Arial,sans-serif; font-size: 10pt;">D || <span style="font-family: Arial,sans-serif; font-size: 10pt;">C <span style="font-family: Arial,sans-serif; font-size: 10pt;">E  || <span style="font-family: Arial,sans-serif; font-size: 10pt;">A <span style="font-family: Arial,sans-serif; font-size: 10pt;">A <span style="font-family: Arial,sans-serif; font-size: 10pt;">A  || <span style="font-family: Arial,sans-serif; font-size: 10pt;">C  || <span style="font-family: Arial,sans-serif; font-size: 10pt;">E <span style="font-family: Arial,sans-serif; font-size: 10pt;">B <span style="font-family: Arial,sans-serif; font-size: 10pt;">C <span style="font-family: Arial,sans-serif; font-size: 10pt;">C  ||
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Understanding that the tangent at any point on a circle is perpendicular to the radius at that point
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Understanding and using the fact that tangents from an external point are equal in length
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Explaining why the perpendicular from the centre to a chord bisect the chord
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Proving and using the fact that the angle subtended by an arc at the centre of a circle is twice the angle subtended at any point on the circumference
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Proving and using the fact that the angle subtended at the circumference by a semicircle is a right angle
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Proving and using the fact that angles in the same segments are equal
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Proving and using the fact that opposite angles of a cyclic quadrilateral sum to 180 degrees
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Proving and using the alternate segment theorem || <span style="font-family: Arial,sans-serif; font-size: 10pt;">B
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Linear functions **
 * //<span style="font-family: Arial,sans-serif; font-size: 10pt;">y //****<span style="font-family: Arial,sans-serif; font-size: 10pt;"> = //mx// + //c// ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">7 – 9   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Substitute values of //x// into linear functions to find corresponding values of y
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Plot points for linear functions on a coordinate grid and draw the corresponding straight lines
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Interpret //m// and //c// as gradient and //y//-intercept in linear functions
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Understand that the graphs of linear functions are parallel if they have the same value of //m//
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Know that the line perpendicular to //y// = //mx// + //c// has gradient - <span style="font-family: Arial,sans-serif; font-size: 10pt;">1///m//
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Understand linear functions in practical problems, e.g. distance-time graphs || <span style="font-family: Arial,sans-serif; font-size: 10pt;">C
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Similar shapes ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">5 – 7   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Use integer and non-integer scale factors to find the length of a missing side in each of two similar shapes, given the lengths of a pair of corresponding sides
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Know the relationship between linear, area and volume scale factors of similar shapes
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Prove formally geometric properties of triangles, e.g. that the base angles of an isosceles triangle are equal
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Prove formally that two triangles are congruent || <span style="font-family: Arial,sans-serif; font-size: 10pt;">B/C
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Perimeter and area of circles ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">3 – 5   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Find the perimeter and area of shapes made up from triangles, rectangles and parts of circles
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Use and recall formulae to calculate perimeters and areas of circles, and parts of circles ||  <span style="font-family: Arial,sans-serif; font-size: 10pt;">C/D
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Scatter graphs and correlation ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">3 – 5   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Draw and produce a scatter graph
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Appreciate that correlation is a measure of the strength of association between two variables
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Distinguish between positive, negative and zero correlation using a line of best fit
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Appreciate that zero correlation does not necessarily imply ‘no correlation’ but merely ‘no linear relationship’
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Draw a line of best fit by eye and understand what it represents
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Use a line of best fit to interpolate/ extrapolate || <span style="font-family: Arial,sans-serif; font-size: 10pt;">D
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Ratio and scale ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">1 – 3   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Appreciate that e.g. the ratio 1:2 represents 1/3 and 2/3 of a quantity
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Divide quantities in a given ratio, e.g. divide £20 in the ratio 2:3
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Solve word problems involving ratios, e.g. Find the cost of 8 pencils given that 6 cost 78p
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Work out the real distance from a map, e.g. Find the real distance represented by 4 cm on a map with scale 1:25 000
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Work out the distance on a map for a given real distance and scale || <span style="font-family: Arial,sans-serif; font-size: 10pt;">D/C
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Direct and inverse proportion ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">5 – 7   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Interpret direct and inverse proportions as algebraic functions, e.g. //y// µ <span style="font-family: Arial,sans-serif; font-size: 10pt;"> //x//2 as //y// = //kx//2
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Use given information to find the value of the constant of proportionality
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Use algebraic functions for direct and inverse proportionality, with their value of //k//, to find unknown values
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Recognise and sketch the graphs for direct and inverse proportions (//y// µ <span style="font-family: Arial,sans-serif; font-size: 10pt;"> //x//, //y// µ <span style="font-family: Arial,sans-serif; font-size: 10pt;"> //x//2, //y// µ <span style="font-family: Arial,sans-serif; font-size: 10pt;"> //x//3, //y// µ <span style="font-family: Arial,sans-serif; font-size: 10pt;"> 1///x//, //y// µ <span style="font-family: Arial,sans-serif; font-size: 10pt;"> 1///x//2) || <span style="font-family: Arial,sans-serif; font-size: 10pt;">A
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">The mean (large data sets) ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">1 – 3   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Find the mean of data given in an ungrouped frequency distribution
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Use the mid interval value to find an estimate for the mean of data given in a grouped frequency distribution
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Understand and use the sigma notation for the mean of ungrouped, and grouped, data || <span style="font-family: Arial,sans-serif; font-size: 10pt;">D
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Simultaneous equations ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">5 – 7   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Solve algebraically two simultaneous equations
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Interpret the solution of two simultaneous equations as the point of intersection the corresponding lines || <span style="font-family: Arial,sans-serif; font-size: 10pt;">B   ||
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Probability ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">7 – 9   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">List all the outcomes from mutually exclusive events, e.g. from two coins, and sample space diagrams
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Write down the probability associated with equally likely events, e.g. the probability of drawing an ace from a pack of cards
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Know that if the probability of an event occurring is //p// than the probability of it not occurring is 1 – //p//
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Find the missing probability from a list or table
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Know that the probability of A or B is P(A) + P(B)
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Know that the probability of A and B is P(A) ´ <span style="font-family: Arial,sans-serif; font-size: 10pt;"> P(B)
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Draw and use tree diagrams to solve probability problems (including examples of non-replacement)
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Find estimates of probabilities by considering relative frequency in experimental results (including two-way tables)
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Know that the more an experiment is repeated the better the estimate of probability || <span style="font-family: Arial,sans-serif; font-size: 10pt;">E

<span style="font-family: Arial,sans-serif; font-size: 10pt;">B <span style="font-family: Arial,sans-serif; font-size: 10pt;">B <span style="font-family: Arial,sans-serif; font-size: 10pt;">B  || <span style="font-family: Arial,sans-serif; font-size: 10pt;">B  || <span style="font-family: Arial,sans-serif; font-size: 10pt;">C <span style="font-family: Arial,sans-serif; font-size: 10pt;">B <span style="font-family: Arial,sans-serif; font-size: 10pt;">A <span style="font-family: Arial,sans-serif; font-size: 10pt;">A <span style="font-family: Arial,sans-serif; font-size: 10pt;">A*  || <span style="font-family: Arial,sans-serif; font-size: 10pt;">C || <span style="font-family: Arial,sans-serif; font-size: 10pt;">C <span style="font-family: Arial,sans-serif; font-size: 10pt;">A  || <span style="font-family: Arial,sans-serif; font-size: 10pt;">D/C <span style="font-family: Arial,sans-serif; font-size: 10pt;">C <span style="font-family: Arial,sans-serif; font-size: 10pt;">D <span style="font-family: Arial,sans-serif; font-size: 10pt;">C <span style="font-family: Arial,sans-serif; font-size: 10pt;">C  || <span style="font-family: Arial,sans-serif; font-size: 10pt;">A <span style="font-family: Arial,sans-serif; font-size: 10pt;">A <span style="font-family: Arial,sans-serif; font-size: 10pt;">A <span style="font-family: Arial,sans-serif; font-size: 10pt;">A*  || <span style="font-family: Arial,sans-serif; font-size: 10pt;">A/A* || <span style="font-family: Arial,sans-serif; font-size: 10pt;">B <span style="font-family: Arial,sans-serif; font-size: 10pt;">B <span style="font-family: Arial,sans-serif; font-size: 10pt;">B <span style="font-family: Arial,sans-serif; font-size: 10pt;">B <span style="font-family: Arial,sans-serif; font-size: 10pt;">B <span style="font-family: Arial,sans-serif; font-size: 10pt;">B  || <span style="font-family: Arial,sans-serif; font-size: 10pt;">A <span style="font-family: Arial,sans-serif; font-size: 10pt;">A  || <span style="font-family: Arial,sans-serif; font-size: 10pt;">B  || <span style="font-family: Arial,sans-serif; font-size: 10pt;">B <span style="font-family: Arial,sans-serif; font-size: 10pt;">A* <span style="font-family: Arial,sans-serif; font-size: 10pt;">A* <span style="font-family: Arial,sans-serif; font-size: 10pt;">A  || <span style="font-family: Arial,sans-serif; font-size: 10pt;">A <span style="font-family: Arial,sans-serif; font-size: 10pt;">A <span style="font-family: Arial,sans-serif; font-size: 10pt;">A <span style="font-family: Arial,sans-serif; font-size: 10pt;">A <span style="font-family: Arial,sans-serif; font-size: 10pt;">A*  || <span style="font-family: Arial,sans-serif; font-size: 10pt;">A* <span style="font-family: Arial,sans-serif; font-size: 10pt;">A*  ||
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Standard form ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">1 – 3   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Understand the standard form convention
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Convert numbers to, and from, standard form
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Calculate with numbers given in standard form with, and without, a calculator
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Round numbers given in standard form to a given number of significant figures || <span style="font-family: Arial,sans-serif; font-size: 10pt;">B
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Inequalities ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">3 – 5   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Rearrange and solve linear inequalities in one variable and show the solution set on a number line, or to write down all the integer solutions.
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Draw the graphs of linear inequalities in two variables and interpret the solution sets given by regions in the coordinate plane, or to identify all the integer coordinates with crosses || <span style="font-family: Arial,sans-serif; font-size: 10pt;">C
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Quadratic functions ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">3 – 5   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Plot the graphs of quadratic functions for positive and negative values of //x//
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Find graphically the solutions of quadratic equations by considering the intercept on the //x//-axis
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Solve quadratic equations by factorising (including values of //a// not equal to 1)
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Use the quadratic formula to solve quadratic equations giving the answers to 1 dp
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Use the quadratic formula to solve quadratic equations leaving the answer in surd form
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Complete the square of a quadratic function (using this to write down the max/min of the function) || <span style="font-family: Arial,sans-serif; font-size: 10pt;">F
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Speed and density ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">3 – 5   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Use the relationship between distance, speed and time to solve problems
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Convert between metric units of speed e.g. km/h to m/s
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Know that density is found by mass ÷ volume
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Use the relationship between density, mass and volume to solve problems, e.g. find the mass of an object with a given volume and density
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Convert between metric units of density e.g. kg/m to g/cm ||  <span style="font-family: Arial,sans-serif; font-size: 10pt;">G   ||
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Trial and improvement ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">1 – 3   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Solve cubic functions by successive substitution of values of //x//  ||  <span style="font-family: Arial,sans-serif; font-size: 10pt;">C   ||
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Angle properties of polygons ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">1 – 3   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Calculate and use the sums of the interior angles of convex polygons of sides 3, 4, 5, 6, 8, 10
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Know, or work out, the relationship between the number of sides of a polygon and the sum of its interior angles
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Know that the sum of the exterior angles of any polygon is 360 degrees
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Find the size of each exterior/interior angle of a regular polygon || <span style="font-family: Arial,sans-serif; font-size: 10pt;">D/C
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Surface area and volume ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">1 – 3   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Find volumes of shapes by counting cubes
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Use formulae to calculate the surface areas and volumes of cuboids, right-prisms and cylinders
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Solve a range of problems involving surface area and volume, e.g. given the volume and length of a cylinder find the radius
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Convert between units of volume ||  <span style="font-family: Arial,sans-serif; font-size: 10pt;">G
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Transformations ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">5 – 7   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Understand translation as a combination of a horizontal and vertical shift including signs for directions
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Understand rotation as a (clockwise) turn about a given origin
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Reflect shapes in a given mirror line; parallel to the coordinate axes and then //y// = //x// or //y// = –//x//
 * <span style="color: windowtext; font-family: Arial,sans-serif; font-size: 10pt;">Enlarge shapes by a given scale factor from a given point; using <span style="font-family: Arial,sans-serif; font-size: 10pt;">positive and negative scale factors greater than one
 * <span style="color: windowtext; font-family: Arial,sans-serif; font-size: 10pt;">Enlarge shapes by a given fractional scale factor, e.g. 2/3
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Understand that shapes produced by translation, rotation and reflection are congruent to its image ||  <span style="font-family: Arial,sans-serif; font-size: 10pt;">D
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Further simultaneous equations ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">5 – 7   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Find graphically the approximate solutions of linear and quadratic simultaneous equations
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Find the exact solutions of linear and quadratic simultaneous equations
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Draw a circle of radius r centred at the origin
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Find graphically the approximate solutions of linear and circular simultaneous equations
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Find the exact solutions of linear and circular simultaneous equations || <span style="font-family: Arial,sans-serif; font-size: 10pt;">B/A
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Surface area and volume ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">5 – 7   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Find the surface area and the volume of more complex shapes, e.g. find the volume of an equilateral triangular prism
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Solve more complex problems, e.g. given the surface area of a sphere find the volume || <span style="font-family: Arial,sans-serif; font-size: 10pt;">C – A*
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Median and interquartile range (large data sets) ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">5 – 7   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Find the median and quartiles for large sets of ungrouped data
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Draw a cumulative frequency table for grouped data (using the upper class boundary)
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Draw a cumulative frequency curve for grouped data
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Use a cumulative frequency diagram to find estimates for the median and quartiles of a distribution
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Use a cumulative frequency diagram to solve problems, e.g. how many greater than a particular value
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Draw a box plot to summarise information given in cumulative frequency diagrams
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Compare cumulative frequency diagrams and box lots to make inferences about distributions || <span style="font-family: Arial,sans-serif; font-size: 10pt;">C
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Histograms ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">3 – 5   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Complete a histogram from a frequency table
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Complete a frequency table from a histogram
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Use a histogram to work out the frequency in part of a class interval || <span style="font-family: Arial,sans-serif; font-size: 10pt;">A
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Sine, cosine and tangent ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">5 – 7   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Use trigonometric ratios (sin, cos and tan) to calculate angles in right-angled triangles
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Use the trigonometric ratios to calculate unknown lengths in right-angled triangles || <span style="font-family: Arial,sans-serif; font-size: 10pt;">B
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Trigonometry for non right-angled triangles ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">3 – 5   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Find the unknown lengths, or angles, in non right-angle triangles using the sine and cosine rules
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Find the area of triangles given two lengths and an included angle || <span style="font-family: Arial,sans-serif; font-size: 10pt;">A   ||
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Applications of trigonometry in 3-D ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">3 – 5   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Calculate the length of a diagonal of a rectangle given the lengths of the sides of the rectangle
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Calculate the diagonal through a cuboid, or across the face of a cuboid
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Find the angle between the diagonal through a cuboid and the base of the cuboid
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Find the angle between a sloping edge of a pyramid and the base of the pyramid
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Identify when to use the sine or cosine rule and adapt the relevant formula to the given triangle || <span style="font-family: Arial,sans-serif; font-size: 10pt;">C
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Further functions ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">5 – 7   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Plot and recognise cubic, reciprocal, exponential and circular functions
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Use the graphs of these functions to find approximate solutions to equations, e.g. given //x// find //y// (and visa versa)
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Find the values of p and q in the function //y// = //pqx// given the graph of //y// = //pqx//
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Match equations with there graphs
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Sketch graphs of given functions || ||
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Vectors ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">5 – 7   || * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Understand that 2**a** is parallel to **a** and twice its length
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Understand that **a** is parallel to - **<span style="font-family: Arial,sans-serif; font-size: 10pt;">a **<span style="font-family: Arial,sans-serif; font-size: 10pt;"> and in the opposite direction
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Use and interpret vectors as displacements in the plane (with an associated direction)
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Use standard vector notation to combine vectors by addition, e.g. **AB** + **BC** = **AC** and **a** + **b** = **c**
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Represent vectors, and combinations of vectors, in the plane
 * <span style="font-family: Arial,sans-serif; font-size: 10pt;">Solve geometrical problems in 2-D, e.g. show that joining the mid-points of the sides of any quadrilateral forms a parallelogram || <span style="font-family: Arial,sans-serif; font-size: 10pt;">A
 * **<span style="font-family: Arial,sans-serif; font-size: 10pt;">Transformations of graphs ** || <span style="font-family: Arial,sans-serif; font-size: 10pt;">5 – 7   || * § <span style="font-family: Arial,sans-serif;">Represent translations in the //x// and //y// direction, reflections in the //x//-axis and the //y‑//axis, and stretches parallel to the //x//-axis and the //y//-axis
 * § <span style="font-family: Arial,sans-serif;">Sketch the graph of //y// = 3 sin 2//x//, given the graph of //y//=sin //x//
 * § <span style="font-family: Arial,sans-serif;">Sketch the graph of //y// = f(//x// + 2), //y// = f(//x//) + 2, //y//=2f(//x//), //y// = f(2//x//) given the shape of the graph //y// = f(//x//)
 * § <span style="font-family: Arial,sans-serif;">Find the coordinates of the minimum of //y// = f(//x// + 3), //y// = f(//x//) + 3 given the coordinates of the minimum of //y//=//x//2 – 2//x// ||  <span style="font-family: Arial,sans-serif; font-size: 10pt;">A*