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Level 1 NUMBER & ALGEBRA □ □ Read and write numbers to 10 Add and take away up to 10 SHAPE, SPACE & MEASURES □ □ □ Describe things about shapes Measure and order things Order events HANDLING DATA □ Sort objects, giving reasons Level 2 NUMBER & ALGEBRA □ □ □ □ □ □ □ Add and take away up to 10 Understand place value Order numbers up to 100 Know add is opposite of take away Mentally solve money and measurement problems Recognise number patterns Recognise odd and even numbers SHAPE, SPACE & MEASURES □ □ □ □ □ □ Know maths names for shapes Talk about corners, sides of shapes Know difference between straight and turning Know angles measure turns Recognise right angles Begin to measure length and mass HANDLING DATA □ Sort objects by more than 1 reason Level 2 NUMBER & ALGEBRA □ □ □ □ □ □ □ Add and take away up to 10 Understand place value Order numbers up to 100 Know add is opposite of take away Mentally solve money and measurement problems Recognise number patterns Recognise odd and even numbers Level 3 NUMBER & ALGEBRA □ □ □ □ □ □ □ □ Understand place value up to 1000 □ Solve times and divide problems, including remainders □ □ SHAPE, SPACE & MEASURES □ □ □ Know maths names for shapes □ □ □ Know angles measure turns Talk about corners, sides of shapes Know difference between straight and turning Use decimals with money Use negative numbers with temperatures Know addition and subtraction facts up to 20 Add and subtract 2 digit numbers in your head Add and subtract 3 digit numbers on paper Know 2, 3, 4, 5 and 10 times tables and their divides Use simple fractions Recognise equivalent simple fractions SHAPE, SPACE & MEASURES □ □ □ Group shapes in many ways □ Use measures of time Recognise reflective symmetry Use metric units to measure length, capacity and mass Recognise right angles Begin to measure length and mass HANDLING DATA □ Make approximations up to 1000 Sort objects by more than 1 reason HANDLING DATA □ □ □ Read information in tables and lists Draw bar charts and pictograms Interpret information in bar charts and pictograms Level 3 NUMBER & ALGEBRA □ □ □ □ □ □ Understand place value up to 1000 □ □ Add and subtract 3 digit numbers on paper □ □ □ Make approximations up to 1000 Use decimals with money Use negative numbers with temperatures Know addition and subtraction facts up to 20 Add and subtract 2 digit numbers in your head Know 2, 3, 4, 5 and 10 times tables and their divides Solve times and divide problems, including remainders Use simple fractions Recognise equivalent simple fractions SHAPE, SPACE & MEASURES □ □ □ Group shapes in many ways □ Use measures of time Recognise reflective symmetry Use metric units to measure length, capacity and mass Level 4 NUMBER & ALGEBRA □ □ Multiply and divide by 10 and 100 □ Know times tables up to 10 x 10 and their divides □ □ □ □ □ □ □ □ Add, subtract, multiply and divide on paper □ □ Begin to use simple word equations □ □ □ Read information in tables and lists Draw bar charts and pictograms Interpret information in bar charts and pictograms Add and subtract decimals to 2 places Order decimals to 3 places Check answer makes sense to question Recognise approximate bits of a whole one Use fractions and percentages to write them Describe number patterns Know what multiples, factors and square numbers are Use positive co-ordinates SHAPE, SPACE & MEASURES □ □ Make 3D models □ □ Reflect simple shapes in a mirror line □ □ HANDLING DATA Use mixture of mental methods to do calculations Draw 2D shapes different ways round on a grid Use correct units and instruments to read measurements Find perimeters of simple shapes Find areas by counting squares HANDLING DATA □ □ □ □ Collect data and record in a frequency table Use mode and range Group data in equal group sizes Draw and describe simple line graphs Level 4 NUMBER & ALGEBRA □ □ Multiply and divide by 10 and 100 □ Know times tables up to 10 x 10 and their divides Use mixture of mental methods to do calculations □ □ □ □ □ □ □ □ Add, subtract, multiply and divide on paper □ □ Begin to use simple word equations Add and subtract decimals to 2 places Order decimals to 3 places Check answer makes sense to question Recognise approximate bits of a whole one Use fractions and percentages to write them Describe number patterns Know about multiples, factors and square numbers Use positive co-ordinates SHAPE, SPACE & MEASURES □ □ □ □ Make 3D models □ □ Find perimeters of simple shapes Draw 2D shapes different ways round on a grid Reflect simple shapes in a mirror line Use correct units and instruments to read measurements Find areas by counting squares HANDLING DATA □ □ □ □ Collect data and record in a frequency table Use mode and range Group data in equal group sizes Draw and describe simple line graphs Level 5 NUMBER & ALGEBRA □ □ □ Multiply and divide by 10, 100 and 1000 □ □ □ Simplify fractions to their lowest terms □ □ □ □ □ □ Order, add and subtract negative numbers Add, subtract, multiply and divide with 2 decimal places Solve simple ratio and proportion problems Work out fractional and percentage parts of things Multiply a 3-digit number by a 2-digit number Divide a 3-digit number by a 2-digit number Use inverses or estimates to check answers Write equations Use brackets and BIDMAS accurately Use co-ordinates in all 4 quadrants SHAPE, SPACE & MEASURES □ □ □ □ □ □ □ □ Measure and draw angles to the nearest degree Know the angle sum at a point Know the angle sum in a triangle Recognise symmetry in 2D shapes Know rough metric to imperial equivalences Convert between metric measures Estimate everyday measurements Know the formula for the are of a rectangle HANDLING DATA □ □ Use mean □ □ □ □ Interpret graphs and make conclusions Compare 2 sets of data using mode, median or mean Understand and use the probability scale Find probabilities of equally likely events Find and interpret probabilities from an experiment Level 5 NUMBER & ALGEBRA □ □ □ Multiply and divide by 10, 100 and 1000 □ □ □ Simplify fractions to their lowest terms □ □ □ □ □ □ Order, add and subtract negative numbers Add, subtract, multiply and divide with 2 decimal places Solve simple ratio and proportion problems Work out fractional and percentage parts of things Multiply a 3-digit number by a 2-digit number Divide a 3-digit number by a 2-digit number Use inverses or estimates to check answers Write equations Use brackets and BIDMAS accurately Use co-ordinates in all 4 quadrants SHAPE, SPACE & MEASURES □ □ □ □ □ □ □ □ Measure and draw angles to the nearest degree Know the angle sum at a point Know the angle sum in a triangle Level 6 NUMBER & ALGEBRA □ □ □ □ □ □ Convert between metric measures Estimate everyday measurements Know the formula for the area of a rectangle HANDLING DATA □ □ Use mean □ □ □ □ Interpret graphs and make conclusions Compare 2 sets of data using mode, median or mean Understand and use the probability scale Find probabilities of equally likely events Find and interpret probabilities from an experiment Use trial and improvement methods Work out percentage and fractions using 100% Use equivalences between fractions, decimals and percentages Calculate using ratios Add and subtract fractions with different denominators □ Find the word rule for the next term of a sequence □ □ □ □ Find the nth term of a sequence □ □ □ □ Recognise 2D drawings of 3D shapes □ □ Devise instructions to create loci □ □ □ Find area of shapes made from rectangles □ Collect continuous data using equal class intervals Form and solve linear equations Represent mappings using algebra Use co-ordinates for graphs and interpret features SHAPE, SPACE & MEASURES Recognise symmetry in 2D shapes Know rough metric to imperial equivalences Order and approximate decimals to solve problems Know properties of different quadrilaterals Use angle and symmetry facts in polygons Use angle facts with parallel and intersecting lines Know formulae for circumference and area of circle Find volume of cuboid Enlarge shapes by a positive whole scale factor HANDLING DATA □ □ □ □ □ □ Construct and interpret frequency diagrams Construct pie charts Draw conclusions from scatter diagrams Discuss correlation on scatter diagrams Find all outcomes from 2 events happening together Know the total probabilities of mutually exclusive outcomes is 1 Level 6 NUMBER & ALGEBRA □ □ □ □ □ □ Order and approximate decimals to solve problems Use trial and improvement methods Work out percentage and fractions using 100% Use equivalences between fractions, decimals and percentages Calculate using ratios Add and subtract fractions with different denominators □ Find the word rule for the next term of a sequence □ □ □ □ Find the nth term of a linear sequence Form and solve linear equations Recognise 2D drawings of 3D shapes Know properties of different quadrilaterals Use angle and symmetry facts in polygons Use angle facts with parallel and intersecting lines □ □ Devise instructions to create loci □ □ □ Find area of shapes made from rectangles Know formulae for circumference and area of circle □ □ □ □ □ □ Round to 1 significant figure for estimating □ □ Use a calculator efficiently and appropriately □ □ □ □ □ □ Understand effects of multiplying and dividing by a number between 0 and 1 Use multiplying methods for proportional changes Find the nth term of a quadratic sequence Multiply 2 brackets together (x + n)(x + m) Simplify quadratic expressions Solve simultaneous equations by algebra Solve simultaneous equations using graphs Solve simple inequalities SHAPE, SPACE & MEASURES □ □ □ □ □ □ Know and use Pythagoras’ theorem □ Use compound measures like speed and density Calculate lengths, areas and volumes Enlarge shapes by fractional scale factor Recognise similarity of enlarged shapes Identify the locus of an object Recognise and use inaccuracies of measurements Find volume of cuboid Enlarge shapes by a positive whole scale factor HANDLING DATA □ □ □ Represent mappings using algebra Use co-ordinates for graphs and interpret features SHAPE, SPACE & MEASURES □ □ □ □ Level 7 NUMBER & ALGEBRA Collect continuous data using equal class intervals Construct and interpret frequency diagrams HANDLING DATA □ □ □ Specify and test hypotheses □ □ Choose most suitable statistic for situation □ □ Draw a line of best fit on a scatter diagram Construct pie charts Draw conclusions from scatter diagrams Discuss correlation on scatter diagrams Find all outcomes from 2 events happening together Know the total probabilities of mutually exclusive outcomes is 1 Take account of variability and bias Find modal class and estimate averages of grouped data Use averages and range to compare distributions Use relative frequency as a measure of probability Level 7 NUMBER & ALGEBRA □ □ Round to 1 significant figure for estimating □ □ Use a calculator efficiently and appropriately □ □ □ □ □ □ Understand effects of multiplying and dividing by a number between 0 and 1 Use multiplying methods for proportional changes Find the nth term of a quadratic sequence Multiply 2 brackets together (x + n)(x + m) Simplify quadratic expressions Solve simultaneous equations by algebra Solve simultaneous equations using graphs Solve simple inequalities Level 8 NUMBER & ALGEBRA □ □ □ Solve problems involving powers and roots □ Calculate original quantity from a proportional change □ □ □ □ □ □ □ SHAPE, SPACE & MEASURES □ □ □ □ □ □ Know and use Pythagoras’ theorem □ Use compound measures like speed and density Calculate lengths, areas and volumes Enlarge shapes by fractional scale factor Use fractions and percentages for repeated proportional changes Substitute fractions, decimals and negatives into formula Calculate one variable, given the others in an equation Find common factors of algebraic expressions Recognise the difference of 2 algebraic squares Solve inequalities in 2 variables Sketch and interpret graphs of linear, quadratic, cubic and reciprocal functions Sketch and interpret real life graphs SHAPE, SPACE & MEASURES □ □ □ Recognise similarity of enlarged shapes Understand and use congruence and similarity Use trigonometry in right-angled triangles Calculate the dimensions of a formula: length, area or volume Identify the locus of an object Recognise and use inaccuracies of measurements HANDLING DATA □ □ □ Specify and test hypotheses □ □ Choose the most suitable statistic for situation □ □ Solve problems using standard form Take account of variability and bias Find modal class and estimate averages of grouped data Use averages and range to compare distributions Draw a line of best fit on a scatter diagram Use relative frequency as a measure of probability HANDLING DATA □ □ □ □ Interpret and construct cumulative frequency tables and graphs using the upper boundaries Estimate the median and interquartile range Compare distributions to make inferences Calculate the probability of a compound event Level 8 NUMBER & ALGEBRA □ □ □ Solve problems involving powers and roots □ Calculate original quantity from a proportional change □ □ □ □ □ □ □ Solve problems using standard form Use fractions and percentages for repeated proportional changes Substitute fractions, decimals and negatives into formula Calculate one variable, given the others in an equation □ □ □ Understand rational and irrational numbers □ □ □ Use indices for fractional and negative values □ Determine bounds of intervals Understand and use direct and inverse proportion Find algebraic general laws to connect data Solve simultaneous equations where one is linear and the other is quadratic Solve problems involving intersections and gradients of graphs Recognise the difference of 2 algebraic squares Solve inequalities in 2 variables Sketch and interpret graphs of linear, quadratic, cubic and reciprocal functions Understand and use congruence and similarity Use trigonometry in right-angled triangles Calculate the dimensions of a formula: length, area or volume HANDLING DATA □ □ □ □ Find common factors of algebraic expressions Sketch and interpret real life graphs SHAPE, SPACE & MEASURES □ □ □ Exceptional Performance NUMBER & ALGEBRA Interpret and construct cumulative frequency tables and graphs using the upper boundaries Estimate the median and interquartile range Compare distributions to make inferences Calculate the probability of a compound event SHAPE, SPACE & MEASURES □ □ □ □ □ □ Sketch graphs of sine, cosine and tangent for any angle size Use Pythagoras and trigonometry in 3D Use congruence rules in formal proofs Calculate lengths of arcs and areas of sectors Calculate surface area of cylinder Calculate volume of cones and spheres HANDLING DATA □ □ Interpret and construct histograms □ □ Select and justify a sample Understand sampling methods and sample sizes may alter reliability Recognise when to use probabilities associated with independent and mutually exclusive events