#### Staff

Head of Department: Miss F Austin
Maths Teacher: Mrs H Astley
Maths Teacher: Mr J Pedder
Maths Teacher: Ms A Richards

Teaching Assistant: Mrs I Ferguson

#### Number

 U/1 1 Count sets of objects reliably: group objects in tens, twos or fives to count them U/2 2 Begin to understand the place value of each digit; use this to order numbers up to 100: know relative size of numbers to 100, use 0 as a place holder U/3 3 Recognise and continue sequences of numbers, including odd and even numbers: increasing/decreasing in regular steps, counting in tens or twos U/4 4 Know by heart the two, five and ten times tables U/5 5 Begin to use halves and quarters: sharing sweets between 2 or 4,work out halves of numbers to 20, shade half/quarter of a shape etc

#### Calculating

 U/6 6 Use the knowledge that subtraction is the inverse of addition: 6+8 = 14, 14–8 = 6, 8+6 = 14, 14-8 = 8 U/7 7 Understand halving as a way of ‘undoing’ doubling and vice versa: double 4 is 8, half of 8 is 4 U/8 8 Use mental recall of addition and subtraction facts to 10: know 3+7 = 10 and use place value to derive 30+70 = 100 U/9 9 Use mental calculation strategies to solve number problems including those involving money and measures: recall doubles to 10+10, double 50p is £1 etc U/10 10 Choose the appropriate operation when solving addition and subtraction problems: repeated addition to solve multiplication problems, repeated subtraction for sharing U/11 11 Solve number problems involving money and measures: add/subtract two-digit and one-digit numbers, using units such as pence, pounds, centimetres U/12 12 Record work in writing: record mental calculations as number sentences

#### Geometry and measures

 U/13 13 Use mathematical names for common 3-D and 2-D shapes: square, triangle, hexagon, pentagon, octagon, cube, cylinder, sphere, cuboid, pyramid U/14 14 Describe their properties, including numbers of sides and corners: edge, face, corner; sort shapes to a single criterion i.e. pentagons, shapes with a right angle etc U/15 15 Describe the position of objects: first, second, third, upside down U/16 16 Distinguish between straight and turning movements: left/right, clockwise/anti clockwise U/17 17 Recognise right angles in turns and understand angle as a measurement of turn: whole turns/half turns/quarter turns U/18 18 Begin to use everyday non-standard and standard units to measure length and mass: hand widths, cm/m/g, read scales to the nearest labelled division

#### Handling data

 U/19 19 Sort objects and classify them using more than one criterion: sort shapes into triangle/not triangle and blue/not blue U/20 20 Understand vocabulary relating to handling data: sort, group, set, list, table, most common, most popular U/21 21 Collect and sort data to test a simple hypothesis: count a show of hands to test “Most children in our class are in bed by 7.30pm” U/22 22 Enter data into a simple computer database U/23 23 Record and communicate findings, using the simple lists, tables, pictograms and block graphs

#### Number

 E/1 1 Use understanding of place value to multiply & divide by 10, 100 and 1000 E/2 2 Use equivalence between fractions and decimals and use to order fractions and decimals E/3 3 Understand order of operations to find the value of a numerical expression E/4 4 Understand and use index notation and roots with and without a calculator E/5 5 Reduce a fraction or ratio to its simplest form by cancelling common factors E/6 6 Add & subtract fractions with the same denominator and multiply fractions E/7 7 Calculate fractions/percentages of quantities/measurements: 3/8 of 400g or 60% of £300 E/8 8 Add and subtract including decimals Multiply & divide including decimals E/9 9 Solve simple problems involving ordering, adding, subtracting negative numbers in context

#### Algebra

 E/10 10 Recognise and use number patterns and relationships: say whether much larger numbers will be in the sequence or not E/11 11 Manipulate expressions by collecting like terms Substitute into simple formulae/expressions including negative numbers E/12 12 Set up and solve simple equations

#### Geometry and measures

 E/13 13 Identify all the symmetries of 2-D shapes: reflective, rotational etc E/14 14 Use language associated with angle and know and use the angle sum of a triangle and quadrilateral E/15 15 Describe & transform shapes; reflect ion in axes, enlargement (no centre), tessellation E/16 16 2D representations of 3D shapes: nets and isometric drawings E/17 17 Read & interpret graphs and timetables E/18 18 Solve problems involving the conversion of units and make sensible estimates of a range of measures in relation to everyday situations E/19 19 Understand and use the formula for the area of a rectangle and distinguish area from perimeter. Calculate volume in simple cases

#### Handling data

 E/20 20 Calculate probability as a number including simple probability of event not happening E/21 21 Calculate median mode mean and range E/22 22 List outcomes for single events and for two successive events, in a systematic way E/23 23 Draw & interpret graphs and diagrams, including pie charts and line graphs

#### Number

 B/1 1 Understand the equivalence between recurring decimals and fractions B/2 2 Use fractions or percentages to solve problems involving repeated proportional changes or the calculation the original quantity given the result of a proportional change B/3 3 Solve problems involving calculating with powers, roots and numbers expressed in standard form, checking for correct order of magnitude and using a calculator as appropriate

#### Algebra

 B/4 4 Factorise quadratic expressions including the difference of two squares B/5 5 Manipulate algebraic formulae, equations and expressions, finding and multiplying two linear expressions B/6 6 Derive & use more complex formulae and change the subject of the formula B/7 7 Evaluate algebraic formulae, substituting decimals, fractions and negative numbers B/8 8 Solve simultaneous equations algebraically and graphically B/9 9 Solve more complex inequalities. Solve inequalities in two variables and represent the solution as a region B/10 10 Sketch, interpret and identify graphs of linear, quadratic, cubes & reciprocal functions and graphs that model real life situations B/11 11 Understand the effect on a graph of addition(or multiplication by) a constant B/12 12 Identify and specify coordinates in 3D

#### Geometry and measures

 B/13 13 Understand and use congruence and mathematical similarity B/14 14 Understand and use trigonometrical relationships in right angled triangles, and use them to solve problems, including those involving bearings B/15 15 Find the upper & lower bounds of simple calculations (addition & subtraction) involving quantities given to a particular degree of accuracy

#### Handling data

 B/16 16 Estimate and find the median, quartiles and inter-quartile range for large data sets, including using a cumulative frequency diagram B/17 17 Compare two or more distributions and make inferences, using the shape of the distributions and measures of average and spread including median and quartiles B/18 18 Know when to add and when to multiply two probabilities B/19 19 Use tree diagrams to calculate probabilities of combinations of independent events

#### Number

 G/1 1 Understand place value in numbers to 1000:inc multiply/divide whole numbers by 10 and rounding to nearest 10 etc G/2 2 Recognise negative numbers in contexts such as temperature G/3 3 Recognise percentage and simple equivalence of fractions and decimals G/4 4 Understand and use simple fractions; ½, ¼, ⅟₃, ⅟₅, ⅟₁₀ ; those that are several parts of a whole; ¾, ⅖ and recognise some fractions equivalent to ½ (⁵⁄₁₀ etc) G/5 5 Understand place value in decimals: order decimals with one or two decimal points, know that £3.06 = 306p G/6 6 Derive associated division facts from known multiplication facts: if 14 x 5 = 70 then 70 ÷ 5 = 14 and 70 ÷ 14 = 5 G/7 7 Add and subtract two-digit numbers mentally: 36 + 19, 63 - 26 G/8 8 Add and subtract up to three digit numbers using written method: 132 + 239 : 327 – 119 using carrying and decomposition methods G/9 9 Multiply and divide two digit numbers by a single digit with whole number answers and remainders: 22÷5 = 4 r 2 G/10 10 Solve whole number word problems including those involving multiplication or division that may give rise to remainders: identify appropriate operations/ round up or down

#### Algebra

 G/11 11 Recognise special numbers & sequences: multiples, factors, odds, evens G/12 12 Begin to understand the role of ‘=’ when solving ‘balancing’ problems: 7 x 10 = 82 – G/13 13 Use coordinates to describe position in the first quadrant

#### Geometry and measures

 G/14 14 Recognise & name types of angles, lines and parts of a circle G/15 15 Name 2D shapes & identify their properties G/16 16 Name 3D shapes & identify their properties G/17 17 Reflect a shape in a vertical or horizontal line and visualise in different orientations G/18 18 Use standard units in a range of contexts (length, capacity and mass): measure length to nearest ½ cm, read simple scales, read a 12 hour clock G/19 19 Find area, perimeter & volume by counting

#### Handling data

 G/20 20 Gather information: decide what data to collect, make appropriate choice of tally chart, frequency table etc G/21 21 Construct bar charts and pictograms, where the symbol represents a group of units G/22 22 Extract and interpret information presented in simple tables, lists, bar charts and pictograms: use keys, read scales, compare data etc G/23 23 Understand & use a probability scale

#### Number

 D/1 1 Use the equivalence of fractions, decimals and percentages to compare proportions D/2 2 Calculate percentages and find the outcome of a given percentage increase or decrease D/3 3 Write ratio notation and solve problems involving ratio and proportion D/4 4 Use a given calculation to work out another; estimate and use a calculator efficiently to perform complex calculations D/5 5 Add and subtract fractions by writing them with a common denominator, calculate fractions of quantities (fraction answers), multiply and divide an integer by a fraction

#### Algebra

 D/6 6 Manipulate algebraic expressions by multiplying a single term over a single bracket and by taking out a common factor D/7 7 Construct and solve linear equations with integer coefficients, using an appropriate method D/8 8 Generate terms of a sequence using term-to-term rule and from a given   nth term D/9 9 Plot the graphs of linear functions; recognise that equations of the form y = mx + c correspond to straight-line graphs D/10 10 Use the convention of coordinates in a plane to describe the midpoint of a line segment D/11 11 Derive and substitute numbers into a formula

#### Geometry and measures

 D/12 12 Know and use bearings to solve problems by calculation and drawing D/13 13 Solve geometric problems using angle facts associated with parallel and intersecting lines D/14 14 Solve geometric problems using angle facts about interior and exterior angles of polygons D/15 15 Construct triangles accurately D/16 16 Visualise and use 2D representations of 3D objects inc nets D/17 17 Enlarge 2D shapes, given a centre of enlargement and a positive whole-number scale factor D/18 18 Know that translations (no vector), rotations and reflections preserve length and angle and map objects onto congruent images D/19 19 Know and use formulae for areas involving triangle, rectangle. parallelogram, trapezium D/20 20 Calculate volumes and surface areas of simple solids D/21 21 Know and use the formulae for the circumference and area of a circle

#### Handling data

 D/22 22 Design a survey/experiment to capture the necessary data from one/more sources; trial and refine data collection sheets; construct tables for large discrete and continuous sets of raw data, choosing suitable class intervals; design and use two-way tables D/23 23 Construct and interpret data; stem & leaf diagrams; scatter graphs, and identify which is the most useful in the context of the problem D/24 24 Interpret a table of discrete data using mean, median, mode & range D/25 25 Communicate interpretations and results of a statistical survey by comparing distributions using mean and range D/26 26 Know that the sum of all mutually exclusive outcomes is 1 and use this when solving problems

#### Number

 A/1 1 Use fractional and negative indices A/2 2 Manipulate simple surds A/3 3 Determine the bounds of intervals A/4 4 Understand and use direct and inverse proportion

#### Algebra

 A/5 5 Solve quadratic equations by factorising A/6 6 Solve quadratic equations by using the quadratic formula(a =1 ) A/7 7 Combine algebraic fractions (all 4 operations) A/8 8 Solve equations involving fractions A/9 9 Solve a pair of simultaneous equations, one linear and one quadratic Solve graphically simultaneous equations, one linear and one quadratic A/10 10 Draw the graph of the exponential function A/11 11 Draw the graph of the circle A/12 12 Draw the graphs of trigonometric functions A/13 13 Derive & use more complex formulae; change the subject (inc .subject occurs twice)

#### Geometry and measures

 A/14 14 Enlarge a shape by a fractional & negative scale factor A/15 15 Understand and use SSS, SAS, ASA, RHS conditions to prove triangles congruent A/16 16 Find the volume & area of similar solids. A/17 17 Understand & use Pythagoras Theorem to solve 3D problems Use trig ratios in 3D shapes A/18 18 Solve problems involving SA & volume of cylinders, pyramids, cones & spheres A/19 19 Understand & use the formulae for length of arcs and area & perimeter of sectors Area of segment A/20 20 Know & use circle theorems

#### Handling data

 A/21 21 Select and justify a sampling scheme A/22 22 Use, interpret & compare histograms including those with unequal class intervals A/23 23 Recognise when & how to work with probabilities associated with independent & mutually exclusive events

#### Number

 F/1 1 Recognise and describe number relationships including multiple, factor,   prime and square and cube F/2 2 Multiply & divide a 3 digit number by a 2 digit number F/3 3 Use rounding to estimate answers F/4 4 Order simple fractions, decimals and percentages using equivalence F/5 5 Convert mixed numbers to improper fractions and vice versa: 1¾ = 7/4 etc F/6 6 Begin to understand simple ratio: girls to boys ratio = 2 to 3 so 20 girls means 30 boys F/7 7 Solve problems with or without a calculator: solve two step problems choosing appropriate operations, interpret calculator display of 4.5 as £4.50 F/8 8 Add and subtract decimals to two places and multiply a simple decimal by a single digit:

#### Algebra

 F/9 9 Write a simple algebraic expression F/10 10 Simplify an expression by collecting like terms F/11 11 Simple substitution into an expression or word formula F/12 12 Recognise the rule for a sequence; find the missing number or pattern in a sequence F/13 13 Use rules in number machines F/14 14 Solve simple equations using a letter for the unknown F/15 15 Plot and read coordinates in four quadrants

#### Geometry and measures

 F/16 16 Understand angle properties on straight line and about a point F/17 17 Use the properties of 2-D and 3-D shapes: recognise most quadrilaterals, all triangles, Including faces, edges, vertices F/18 18 Reflect simple shapes in a mirror line at 45 degrees Translate shapes & begin to rotate a simple shape about its centre or a vertex F/19 19 Interpret a range of measuring instruments Estimate and measure angles and use the 3 letter notation for angle F/20 20 Find perimeters and area of simple shapes; begin to find areas of shapes that need dividing into rectangles

#### Handling data

 F/21 21 Use Venn and Carroll diagrams to sort and classify information: F/22 22 Understand and use the mode and range to describe sets of data: F/23 23 Calculate probability of outcome of an event

#### Number

 C/1 1 Use a multiplier to work out a percentage increase or decrease Write one quantity as a percentage of another C/2 2 Divide an amount into a given ratio C/3 3 Add, subtract, multiply and divide fractions involving mixed numbers C/4 4 Estimate calculations by rounding numbers to one significant figure and multiplying and dividing mentally including numbers between 0 and 1 C/5 5 Find HCF and LCM; Express a number as the product of prime factors

#### Algebra

 C/6 6 Expand brackets and simplify expressions; more complex factorisation C/7 7 Apply the laws of indices C/8 8 Solve inequalities in one variable and represent the solution set on a number line Use systematic trial and improvement to find approximate solutions of equations C/9 9 Substitute numbers into more complex expressions/ formulae; derive a formulae and, in simple cases, change its subject C/10 10 Find and use the nth term of linear sequences C/11 11 Use ‘m’ and ‘c’ to write down the equation of a straight line graph Generate points and plot graphs of simple quadratic functions, and use these to find approximate solutions

#### Geometry and measures

 C/12 12 Understand and apply Pythagoras’ theorem when solving problems in 2D C/13 13 Calculate lengths, areas and volumes in plane shapes and right prisms including volume of cylinder/surface area of cylinder Convert   units of area and volume C/14 14 Describe and transform 2-D shapes; distinguish properties that are preserved under particular transformations C/15 15 Use constructions and draw loci C/16 16 Recognise that measurements given to the nearest whole unit may be accurate by up to one-half of the unit in either direction C/17 17 Understand and use compound measures such as speed

#### Handling data

 C/18 18 Design and criticise questions in a questionnaire C/19 19 Use & draw frequency polygons C/20 20 Estimate the mean, median and range of a set of grouped data and determine the modal class, selecting the statistic most appropriate to the line of enquiry C/21 21 Compare two or more distributions and make inferences C/22 22 Calculate the relative frequency from experimental evidence and compare with theoretical probability .Use probability to predict outcomes C/23 23 Use lines of best fit on scatter graphs to make predictions

#### Number

 A*/1 1 Manipulate expressions containing surds Rationalise a denominator A*/2 2 Determine the bounds of intervals and use in complex calculations

#### Algebra

 A*/3 3 Solve quadratic equations by using the quadratic formula (including a ≠1) A*/4 4 Complete the square to solve quadratic equations A*/5 5 Simplify algebraic fractions by factorising and cancelling A*/6 6 Transform graphs of functions, using y = f(x)+a, y = f(x + a), y = f(ax) and y = af(x) & trigonometric functions

#### Geometry and measures

 A*/7 7 Find the volume & surface area of similar solids and use to solve related problems A*/8 8 Use the Sine and Cosine Rules in triangles that are not right angled Use the formula A = ½ absinC to find the area of any triangle A*/9 9 Solve problems involving surface area and the volume of the frustum of a truncated cone A*/10 10 Solve problems in 2D using vectors, including   use of commutative & associative properties of vector addition

#### Handling data

 A*/11 11 Draw & use tree diagrams to calculate probabilities of successive dependent events