Key Stage 3

### SCHEME OF WORK :  YEAR 7

 Autumn 1 Autumn 2 Unit 1 : Number Mental addition, subtraction, multiplication and division. Formal methods for addition, subtraction, multiplication and division Negative Numbers Rounding and estimation Order of operations Multiples, factors, highest common factors and lowest common multiples Powers and roots Place value calculations Problem solving Unit 3 : Fractions Fractions of an amount Addition, subtraction, multiplication and division of fractions Addition, subtraction, multiplication and subtraction of mixed numbers Changing between fractions and decimals Unit 2 : Algebra Simplifying expressions Writing algebraic expressions Expanding a single bracket Factorising into a single bracket Substitution into expressions Unit 4 : Equations Solving linear equations Solving linear equations that contain brackets Solving linear equations that contain an unknown on both sides Solving problems by constructing an equation Formulae Year 7 Exams in Maths Unit 5 : Time Changing between 12 and 24 hour clock Calculating the length of time that has elapsed Calculating the new time after a period of time has elapsed

 Spring  1 Spring  2 Unit 6: Angles Identifying acute, obtuse and reflex angles Using a protractor Calculating angles including straight lines, around a point, triangles, quadrilaterals and vertically opposite angles Calculating angles on parallel lines Unit 8 : Statistics Pictograms Bar charts Pie charts Stem and leaf diagrams Averages and range Unit 7 : Percentages Calculating percentages with and without a calculator Finding the new amount after a percentage increase / decrease Writing one quantity as a percentage of another quantity Percentage profit / loss Changing between fractions, decimals and percentages Ordering fractions, decimals and percentages Unit 9 : Graphs Coordinates Midpoints Lines parallel to an axis Drawing straight line graphs Unit 10 : Constructions Constructing triangles and nets Summer  1 Summer  2 Unit 11 : Perimeter and area Perimeter Area of rectangles, squares, triangles, parallelograms, trapeziums Area and perimeter of composite shapes Circumference and area of a circle Algebraic perimeter Changing between metric units Year 7 Exams in Maths Unit 12 : Ratio and proportion Using ratio notation Simplifying ratios Dividing in a given ratio Solving problems with ratio Solving problems involving direct and inverse proportion Unitary method Conversion graphs Unit 13 : Sequences Continuing sequences Describing sequences Writing a sequence from the nth term Finding the nth term of a linear sequence Picture sequences Special sequences Unit 14 : Volume Naming solids Finding the volume of cubes, cuboids and prisms Surface area of cubes and cuboids Unit 15 : Probability Use a probability scale Writing the probability Sample space diagrams Venn diagrams

### YEAR 8

 Autumn 1 Autumn 2 Unit 1 : Number Mental and written methods for addition, subtraction, multiplication and division Decimal x decimal Dividing by a decimal Order of operations Place value calculations Negative numbers Rounding including decimal places and significant figures Error intervals for numbers rounded to the nearest 10, 100 or 1000 Estimation Standard form Unit 3 : Angles Using a protractor Calculating angles including straight lines, around a point, triangles, quadrilaterals and vertically opposite angles Angles on parallel lines Bearings Scale drawings Calculating interior and exterior angles for polygons Solving problems involving angles Constructing triangles and nets Unit 2 : Expressions and equations Simplifying expressions Rules of indices Expanding single and double brackets Factorisation into a single bracket Factorisation of a quadratic Substitution Solving linear equations including brackets and an unknown on both sides Solving linear equations that contain fractions Solving linear inequalities Representing an inequality on a number line Solving quadratic equations by factorisation Formulae Unit 4 : Fractions Ordering fractions Addition, subtraction, multiplication and division of fractions and mixed numbers Fraction of an amount Negative fractions Factions with BIDMAS Fractions with powers and roots Changing between fractions and roots Unit 5 : Statistics Pictograms Bar charts Pie charts Stem and leaf diagrams Scatter graphs Averages and range including frequency tables Mean range and modal class from a grouped frequency table

 Spring 1 Spring 2 Unit 6 : Graphs Coordinates Midpoints Drawing straight line graphs Finding the gradient of a line Drawing simple quadratic graphs Finding the equation of a parallel line Unit 9 : Percentages Calculating a percentage of an amount Finding the new amount after a percentage increase / decrease Simple interest Multipliers Writing one quantity as a percentage of another quantity Changing between fractions, decimals and percentages Unit 7 : Time Working out the new time after a period of time has elapsed Working out how long has elapsed Timetables Units of time Distance time graphs Unit 10 : Symmetry and transformations Line symmetry Rotational symmetry Reflections Rotations Translations Enlargements Describing transformations Unit 8 : Probability Probability scales Writing probabilities Exhaustive events Sample space diagrams Two way tables Frequency tree diagrams Venn diagrams To find the probability for union and intersection Expectation Bias
 Summer 1 Summer 2 Unit 11 : Ratio and proportion Simplifying ratios Writing a ratio in the form 1 : n or n : 1 Dividing in a given ratio Solving problems with ratio Combining ratios Direct and inverse proportion Unitary method Conversion graphs Currency Best buys Unit 14 : Powers and types of number Square numbers Cube numbers Multiples, factors, lowest common multiples and highest common factors Prime numbers Expressing a number as a product of its prime factors Calculating with powers of 1, 0 and -1 Roots and cube roots Simplifying a calculation involving powers Unit 12 : Sequences Picture sequences Special types of sequence Using the nth term Finding the nth term of a linear sequence Using the nth term of a quadratic sequence Continuing an algebraic sequence Fibonacci style sequences Year 8 Exams in Maths Unit 13: Pythagoras Finding the hypotenuse Finding a shorter side 3,4,5  and 5, 12, 13 triangles Deciding if a triangle is right angled Unit 15 : Perimeter, area and volume Calculating perimeter Calculating the area of squares, rectangles, triangles, parallelograms, trapeziums and composite shapes Circumference and area of a circle Calculating the area and perimeter of semi circles and a quarter of a circle Volume of cubes, cuboids and prisms Plans and elevations Surface area Algebraic perimeter and area Problem solving with perimeter, area and volume