NC2014 MATHEMATICS LIST
OBJECTIVES

 MATHEMATICS Key Stage 1 Year 1

Key Stage	Strand	Objective	Notes	Notes	
KS 1 Y1	Number Place Value	
KS 1 Y1	Number Place Value	[KEY] Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number. 
⤷ GD objective: Fluently count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number.			
KS 1 Y1	Number Place Value	[KEY] Count, read and write numbers to 100 in numerals. 
⤷ GD objective: Independently count, read and write numbers to 100 in numerals.			
KS 1 Y1	Number Place Value	Count in multiples of twos, fives and tens. 
⤷ GD objective: Count in multiples of twos, fives and tens and use this to solve mental calculations			
KS 1 Y1	Number Place Value	[KEY] Given a number, identify one more and one less. 
⤷ GD objective: Given a number, quickly identify one more and one less in a range of contexts.			
KS 1 Y1	Number Place Value	Identify and represent numbers using objects and pictorial representations including the number line, and use the language of: equal to, more than, less than (fewer), most, least. 
⤷ GD objective: Accurately identify and represent numbers using objects and pictorial representations including the number line, and use the language of: equal to, more than, less than (fewer), most, least.			
KS 1 Y1	Number Place Value	Read and write numbers from 1 to 20 in numerals and words. 
⤷ GD objective: Independently read and write numbers from 1 to 20 in numerals and words.			
KS 1 Y1	Addition Subtraction	
KS 1 Y1	Addition Subtraction	Read, write and interpret mathematical statements involving addition (+), subtraction (-) and equals (=) signs. 
⤷ GD objective: Solve problems suing mathematical statements involving addition (+), subtraction (-) and equals (=) signs.			
KS 1 Y1	Addition Subtraction	[KEY] Represent and use number bonds and related subtraction facts within 20. 
⤷ GD objective: Use number bonds and related subtraction facts within 20 to solve mental calculations.			
KS 1 Y1	Addition Subtraction	Add and subtract one-digit and two-digit numbers to 20, including zero. 
⤷ GD objective: Solve real-life problems by adding and subtracting one-digit and two-digit numbers to 20, including zero in different contexts.			
KS 1 Y1	Addition Subtraction	Solve one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems such as  7 = ? - 9. 
⤷ GD objective: Solve one-step problems in different contexts that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems such as  17 = ? - 9.			
KS 1 Y1	Multiplication Division	
KS 1 Y1	Multiplication Division	Solve one-step problems involving multiplication and division, by calculating the answer using concrete objects, pictorial representations and arrays with the support of the teacher. 
⤷ GD objective: Solve one-step problems involving multiplication and division of money and measures, by calculating the answer using concrete objects, pictorial representations and arrays.			
KS 1 Y1	Fractions	
KS 1 Y1	Fractions	[KEY] Recognise, find and name a half as one of two equal parts of an object, shape or quantity. 
⤷ GD objective: Solve practical problems by finding half of an object, shape or quantity.			
KS 1 Y1	Fractions	Recognise, find and name a quarter as one of four equal parts of an object, shape or quantity. 
⤷ GD objective: Recognise, find and name a quarter as one of four equal parts of an object, shape or quantity across different subjects.			
KS 1 Y1	Measurement	
KS 1 Y1	Measurement	[KEY] Compare, describe and solve practical problems for lengths and heights [for example, long or short, longer or shorter, tall or short, double or half]. 
⤷ GD objective: Indepdnently compare, describe and solve practical problems for lengths and heights [for example, long or short, longer or shorter, tall or short, double or half].			
KS 1 Y1	Measurement	[KEY] Compare, describe and solve practical problems for mass or weight [for example, heavy or light, heavier than, lighter than]. 
⤷ GD objective: Independently compare, describe and solve practical problems for mass or weight [for example, heavy or light, heavier than, lighter than].			
KS 1 Y1	Measurement	[KEY] Compare, describe and solve practical problems for capacity and volume [for example, full or empty, more than, less than, half, half full, quarter]. 
⤷ GD objective: Independently compare, describe and solve practical problems for capacity and volume [for example, full or empty, more than, less than, half, half full, quarter].			
KS 1 Y1	Measurement	[KEY] Compare, describe and solve practical problems for time [for example, quicker, slower, earlier, later]. 
⤷ GD objective: Independently compare, describe and solve practical problems for time [for example, quicker, slower, earlier, later].			
KS 1 Y1	Measurement	Measure and begin to record lengths and heights. 
⤷ GD objective: Measure and record a variety of lengths and heights accurately.			
KS 1 Y1	Measurement	Measure and begin to record mass/weight. 
⤷ GD objective: Measure and begin to record mass/weight in different subjects			
KS 1 Y1	Measurement	Measure and begin to record capacity and volume. 
⤷ GD objective: Measure and begin to record capacity and volume in a range of different subjects			
KS 1 Y1	Measurement	Measure and begin to record time (hours, minutes, seconds). 
⤷ GD objective: Measure and begin to record time (hours, minutes, seconds) in real-life situations.			
KS 1 Y1	Measurement	Recognise and know the value of different denominations of coins and notes. 
⤷ GD objective: Recognise, compare and order the value of different denominations of coins and notes			
KS 1 Y1	Measurement	Sequence events in chronological order using language [for example, before and after, next, first, today, yesterday, tomorrow, morning, afternoon and evening]. 
⤷ GD objective: Sequence multiple events in chronological order using language [for example, before and after, next, first, today, yesterday, tomorrow, morning, afternoon and evening] and apply this in different subjects.			
KS 1 Y1	Measurement	Recognise and use language relating to dates, including days of the week, weeks, months and years. 
⤷ GD objective: Confidenly recognise and use language relating to dates, including days of the week, weeks, months and years.			
KS 1 Y1	Measurement	[KEY] Tell the time to the hour and half past the hour and draw the hands on a clock face to show these times. 
⤷ GD objective: Confidently tell the time to the hour and half past the hour and accurately draw the hands on a clock face to show these times.			
KS 1 Y1	Shape	
KS 1 Y1	Shape	[KEY] Recognise and name common 2-D and 3-D shapes, including 2-D shapes [for example, rectangles (including squares), circles and triangles]. 
⤷ GD objective: Name, investigate and compare more 2-D and 3-D shapes, including 2-D shapes [for example, rectangles (including squares), circles and triangles].			
KS 1 Y1	Shape	[KEY] Recognise and name common 2-D and 3-D shapes, including 3-D shapes [for example, cuboids (including cubes), pyramids and spheres]. 
⤷ GD objective: Name and classify more 2-D and 3-D shapes, including 3-D shapes [for example, cuboids (including cubes), pyramids and spheres].			
KS 1 Y1	Position	
KS 1 Y1	Position	Describe position, direction and movement, including whole, half, quarter and three-quarter turns. 
⤷ GD objective: Describe position, direction and movement, including whole, half, quarter and three-quarter turns and use this to follow and create sets of directions.			

 MATHEMATICS Key Stage 1 Year 2

Key Stage	Strand	Objective	Notes	Notes	
KS 1 Y2	Number Place Value	
KS 1 Y2	Number Place Value	Count in steps of 2, 3, and 5 from 0, and in tens from any number, forward and backward. 
⤷ GD objective: Confidently and quickly count in steps of 2, 3, and 5 from 0, and in tens from any number, forward and backward.			
KS 1 Y2	Number Place Value	[EXS] [KEY] Partition any two-digit number into different combinations of tens and ones, explaining their thinking verbally, in pictures or using apparatus. 
⤷ GD objective: Recognise the place value of each digit in a two-digit number (tens, ones) and use this to solve calculations.			
KS 1 Y2	Number Place Value	[EXS] [GDS] [KEY] Read scales (such as number lines or a graph axis) in divisions of ones, twos, fives and tens. 
⤷ GD objective: Read scales (such as number lines or a graph axis) where not all numbers on the scale are given and estimate points in between.			
KS 1 Y2	Number Place Value	Compare and order numbers from 0 up to 100. 
⤷ GD objective: Compare and order numbers from 0 up to 100 in different contexts.			
KS 1 Y2	Number Place Value	Use greater than, less than and = signs. 
⤷ GD objective: Confidently use greater than, less than and = signs to compare numbers, measures and money.			
KS 1 Y2	Number Place Value	Read and write numbers to at least 100 in numerals and in words. 
⤷ GD objective: Independently read and write numbers to at least 100 in numerals and in words.			
KS 1 Y2	Number Place Value	[GDS] Use place value and number facts to solve problems. 
⤷ GD objective: Use reasoning about numbers and relationships to solve more complex problems and explain their thinking (e.g. 29+17=15+?; together Jack and Sam have £14. Jack has £2 more than Sam. How much money does Sam have? Etc.)			
KS 1 Y2	Addition Subtraction	
KS 1 Y2	Addition Subtraction	Solve problems with addition and subtraction using concrete objects and pictorial representations, including those involving numbers, quantities and measures. 
⤷ GD objective: Solve more difficult problems with addition and subtraction using concrete objects and pictorial representations, including those involving numbers, quantities and measures.			
KS 1 Y2	Addition Subtraction	[GDS] Solve problems with addition and subtraction applying their increasing knowledge of mental and written methods. 
⤷ GD objective: Solve unfamiliar word problems that involve more than one step (e.g. ‘which has most biscuits, 4 packets of biscuits with 5 in each or 3 packets of biscuits with 10 in each packet?')			
KS 1 Y2	Addition Subtraction	[EXS] [KEY] Recall all number bonds to and within 10 and use these to reason with and calculate bonds to and within 20, recognising other associated additive relationships (e.g. If 7+3=10, then 17+3=20; if 7-3=4, then 17-3=14; leading to if 14+3=17, then 3=14=17, 17-14=3 and 17-3=14.) 
⤷ GD objective: Solve problems with addition and subtraction rapidly recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100.			
KS 1 Y2	Addition Subtraction	Add and subtract numbers using concrete objects, pictorial representations, and mentally, including a two-digit number and ones. 
⤷ GD objective: Solve real-life problems by adding and subtracting numbers using concrete objects, pictorial representations, and mentally, including a two-digit number and ones.			
KS 1 Y2	Addition Subtraction	[EXS] [KEY] Add and subtract any 2 two-digit numbers using an efficient strategy, explaining their method verbally, in pictures or using apparatus (e.g. 48+35; 72-17). 
⤷ GD objective: Solve real-life problems by adding and subtracting numbers using concrete objects, pictorial representations, and mentally, including a two-digit number and tens.			
KS 1 Y2	Addition Subtraction	Add and subtract numbers using concrete objects, pictorial representations, and mentally, including two two-digit numbers. 
⤷ GD objective: Add and subtract numbers in different contexts, using concrete objects, pictorial representations, and mentally, including two two-digit numbers.			
KS 1 Y2	Addition Subtraction	Add and subtract numbers using concrete objects, pictorial representations, and mentally, including adding three one-digit numbers. 
⤷ GD objective: Rapidly add and subtract numbers using concrete objects, pictorial representations, and mentally, including adding three one-digit numbers.			
KS 1 Y2	Addition Subtraction	Show that addition of two numbers can be done in any order (commutative) and subtraction of one number from another cannot. 
⤷ GD objective: Solve a range of problems demonstrating that addition of two numbers can be done in any order (commutative) and subtraction of one number from another cannot.			
KS 1 Y2	Addition Subtraction	Recognise and use the inverse relationship between addition and subtraction and use this to check calculations and solve missing number problems. 
⤷ GD objective: Confidently use the inverse relationship between addition and subtraction to accurately check calculations and solve missing number problems.			
KS 1 Y2	Multiplication Division	
KS 1 Y2	Multiplication Division	[EXS] [GDS] [KEY] Recall multiplication and division facts for 2, 5 and 10 and use them to solve simple problems, demonstrating an understanding of commutativity as necessary. 
⤷ GD objective: Recall and use multiplication facts for 2, 5 and 10 and make deductions outside known multiplication facts.			
KS 1 Y2	Multiplication Division	Calculate mathematical statements for multiplication and division within the multiplication tables and write them using the multiplication (×), division (÷) and equals (=) signs. 
⤷ GD objective: Solve a range of problems using mathematical statements for multiplication and division within the multiplication tables and write them using the multiplication (x), division (÷) and equals (=) signs.			
KS 1 Y2	Multiplication Division	Show that multiplication of two numbers can be done in any order (commutative) and division of one number by another cannot. 
⤷ GD objective: Solve a range of problems demonstrating that multiplication of two numbers can be done in any order (commutative) and division of one number by another cannot.			
KS 1 Y2	Multiplication Division	Solve problems involving multiplication and division, using materials, arrays, repeated addition, mental methods, and multiplication and division facts, including problems in contexts. 
⤷ GD objective: Solve problems in different subjects involving multiplication and division, using materials, arrays, repeated addition, mental methods, and multiplication and division facts, including problems in contexts.			
KS 1 Y2	Fractions	
KS 1 Y2	Fractions	[EXS] [KEY] Identify 1/4, 1/3, 1/2, 2/4, 3/4 of a number or shape, and know that all parts must be equal parts of the whole. 
⤷ GD objective: Solve practical problems by finding and writing fractions 1/3, 1/4, 2/4 and 3/4 of a length, shape, set of objects or quantity.			
KS 1 Y2	Fractions	Write simple fractions for example, 1/2  of 6 = 3 and recognise the equivalence of  2/4 and  1/2. 
⤷ GD objective: Write simple fractions for example, 1/4  of 8 = 2 and recognise the equivalence of  2/4 and  1/2 and relate this to real-life situations.			
KS 1 Y2	Measurement	
KS 1 Y2	Measurement	Choose and use appropriate standard units to estimate and measure length/height in any direction (m/cm); mass (kg/g); temperature (°C); capacity (litres/ml) to the nearest appropriate unit, using rulers, scales, thermometers and measuring vessels. 
⤷ GD objective: Solve a range of problems and investigations involving choosing and using appropriate standard units to estimate and measuring length/height in any direction (m,cm); mass (kg,g); temperature (°C); capacity (litres,ml) to the nearest appropriate unit, using rulers, scales, thermometers and measuring vessels.			
KS 1 Y2	Measurement	Compare and order lengths, mass, volume/capacity and record the results using symbols for greater than, less than and =. 
⤷ GD objective: Compare and order lengths, mass, volume,capacity and record the results using symbols for greater than, less than and = across a range of subjects.			
KS 1 Y2	Measurement	Recognise and use symbols for pounds (£) and pence (p); combine amounts to make a particular value. 
⤷ GD objective: Solve practical problems using symbols for pounds (£) and pence (p); combine amounts to make a particular value.			
KS 1 Y2	Measurement	[EXS] [KEY] Use different coins to make the same amount. 
⤷ GD objective: Find all of the different combinations of coins that equal the same amounts of money in a systematic way.			
KS 1 Y2	Measurement	Solve simple problems in a practical context involving addition and subtraction of money of the same unit, including giving change. 
⤷ GD objective: Solve more complex problems in a practical context involving addition and subtraction of money of the same unit, including giving change.			
KS 1 Y2	Measurement	Compare and sequence intervals of time. 
⤷ GD objective: Compare and sequence intervals of time to solve real-life problems.			
KS 1 Y2	Measurement	[EXS] [GDS] [KEY] Read the time on a clock to the nearest 15 minutes. 
⤷ GD objective: Read the time on a clock to the nearest 5 minutes.			
KS 1 Y2	Measurement	Know the number of minutes in an hour and the number of hours in a day. 
⤷ GD objective: Solve real-life problems involving the number of minutes in an hour and the number of hours in a day.			
KS 1 Y2	Shape	
KS 1 Y2	Shape	[EXS] [GDS] [KEY] Name and describe properties of 2-D shapes, including the number of sides, vertices, edges, faces and lines of symmetry. 
⤷ GD objective: Describe similarities and differences of 2-D shapes, using their properties (e.g. that two different 2-D shapes both have one line of symmetry).			
KS 1 Y2	Shape	[EXS] [GDS] [KEY] Name and describe properties of 3-D shapes, including the number of sides, vertices, edges, faces and lines of symmetry. 
⤷ GD objective: Describe similarities and differences of 3-D shapes, using their properties (e.g. that a cube and a cuboid have the same number of edges faces and vertices but different dimensions).			
KS 1 Y2	Shape	Identify 2-D shapes on the surface of 3-D shapes [for example, a circle on a cylinder and a triangle on a pyramid]. 
⤷ GD objective: Identify 2-D shapes on the surface of 3-D shapes and describe how they have been rotated to fit.			
KS 1 Y2	Shape	Compare and sort common 2-D and 3-D shapes and everyday objects. 
⤷ GD objective: Compare and classify common 2-D and 3-D shapes and everyday objects according to their geometric properties, and can explain their choices.			
KS 1 Y2	Position	
KS 1 Y2	Position	Order and arrange combinations of mathematical objects in patterns and sequences. 
⤷ GD objective: Order and arrange combinations of mathematical objects in patterns and sequences and begin to spot rules.			
KS 1 Y2	Position	Use mathematical vocabulary to describe position, direction and movement, including movement in a straight line and distinguishing between rotation as a turn and in terms of right angles for quarter, half and three-quarter turns (clockwise and anti-clockwise). 
⤷ GD objective: Independently use mathematical vocabulary to describe position, direction and movement of any object, including movement in a straight line and distinguishing between rotation as a turn and in terms of right angles for quarter, half and three-quarter turns (clockwise and anti-clockwise).			
KS 1 Y2	Statistics	
KS 1 Y2	Statistics	Interpret and construct simple pictograms, tally charts, block diagrams and simple tables. 
⤷ GD objective: Confidently interpret and construct simple pictograms, tally charts, block diagrams and simple tables across different subject areas.			
KS 1 Y2	Statistics	Ask and answer simple questions by counting the number of objects in each category and sorting the categories by quantity. 
⤷ GD objective: Ask and answer questions by counting the number of objects in each category and sorting the categories by quantity, using this to solve practical problems.			
KS 1 Y2	Statistics	Ask and answer questions about totalling and comparing categorical data. 
⤷ GD objective: Ask and answer questions to solve real-life problems about totalling and comparing categorical data.			

 MATHEMATICS Key Stage 2 Year 3

Key Stage	Strand	Objective	Notes	Notes	
KS 2 Y3	Number Place Value	
KS 2 Y3	Number Place Value	[KEY] Count from 0 in multiples of 4, 8, 50 and 100. 
⤷ GD objective: Confidently count from 0 in multiples of 4, 8, 50 and 100.			
KS 2 Y3	Number Place Value	[KEY] Find 10 or 100 more or less than a given number. 
⤷ GD objective: Find 10 or 100 more or less than a given number in contexts of money and measures.			
KS 2 Y3	Number Place Value	[KEY] Recognise the place value of each digit in a three-digit number (hundreds, tens, ones). 
⤷ GD objective: Recognise the place value of each digit in a three-digit number (hundreds, tens, ones) and use this to solve mental calculations.			
KS 2 Y3	Number Place Value	Compare and order numbers up to 1000. 
⤷ GD objective: Compare and order numbers up to 1000 and apply this to real-life situations.			
KS 2 Y3	Number Place Value	Identify, represent and estimate numbers using different representations. 
⤷ GD objective: Identify, estimate and calculate numbers using different representations.			
KS 2 Y3	Number Place Value	Read and write numbers up to 1000 in numerals and in words. 
⤷ GD objective: Read and write numbers up to 1000 in numerals and including decimal values in words.			
KS 2 Y3	Number Place Value	[KEY] Solve number problems and practical problems involving working with and estimating numbers up to 1000 in a variety of units. 
⤷ GD objective: Independently solve more complex number and practical problems involving working with and estimating numbers up to 1000 in a variety of units.			
KS 2 Y3	Addition Subtraction	
KS 2 Y3	Addition Subtraction	[KEY] Add and subtract numbers mentally, including three-digit number and ones. 
⤷ GD objective: Rapidly add and subtract numbers mentally, including three-digit number and ones.			
KS 2 Y3	Addition Subtraction	[KEY] Add and subtract numbers mentally, including three-digit number and tens. 
⤷ GD objective: Rapidly add and subtract numbers mentally, including three-digit number and tens.			
KS 2 Y3	Addition Subtraction	[KEY] Add and subtract numbers mentally, including three-digit number and hundreds. 
⤷ GD objective: Add and subtract numbers mentally, including three-digit number and hundreds in different contexts.			
KS 2 Y3	Addition Subtraction	Add and subtract numbers with up to three digits, using formal written methods of columnar addition and subtraction. 
⤷ GD objective: Independently add and subtract numbers with up to three digits, using formal written methods of columnar addition and subtraction.			
KS 2 Y3	Addition Subtraction	Estimate the answer to a calculation and use inverse operations to check answers. 
⤷ GD objective: Accurately estimate the answer to a calculation and use inverse operations to check answers.			
KS 2 Y3	Addition Subtraction	Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction. 
⤷ GD objective: Solve more complex problems, including missing number problems, using number facts, place value, and more complex addition and subtraction.			
KS 2 Y3	Multiplication Division	
KS 2 Y3	Multiplication Division	[KEY] Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables. 
⤷ GD objective: Rapidly recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables.			
KS 2 Y3	Multiplication Division	[KEY] Write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods. 
⤷ GD objective: Solve problems by writing and calculating mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods.			
KS 2 Y3	Multiplication Division	Solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objects. 
⤷ GD objective: Solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objects and begin to identify rules.			
KS 2 Y3	Fractions	
KS 2 Y3	Fractions	[KEY] Count up and down in tenths. 
⤷ GD objective: Quickly count up and down in tenths in different contexts.			
KS 2 Y3	Fractions	[KEY] Recognise that tenths arise from dividing an object into 10 equal parts and in dividing one-digit numbers or quantities by 10. 
⤷ GD objective: Calculate and solve problems involving tenths.			
KS 2 Y3	Fractions	[KEY] Recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators. 
⤷ GD objective: Recognise, find and write fractions of amounts and use this in different subjects.			
KS 2 Y3	Fractions	Recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators. 
⤷ GD objective: Recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators and use this to solve problems.			
KS 2 Y3	Fractions	[KEY] Recognise and show, using diagrams, equivalent fractions with small denominators. 
⤷ GD objective: Recognise, compare and show, using diagrams, equivalent fractions with larger denominators.			
KS 2 Y3	Fractions	Add and subtract fractions with the same denominator within one whole [for example, 5/7  +  1/7 = 6/7]. 
⤷ GD objective: Add and subtract fractions with the same denominator within one whole [for example, 5/12  +  1/12 = 6/12] and use this practically in different subjects.			
KS 2 Y3	Fractions	Compare and order unit fractions, and fractions with the same denominators. 
⤷ GD objective: Compare and order unit fractions, and fractions with the same denominators saying which is largest and smallest.			
KS 2 Y3	Fractions	Solve problems that involve my understanding of fractions. 
⤷ GD objective: Solve more complex problems that involve my understanding of fractions.			
KS 2 Y3	Measurement	
KS 2 Y3	Measurement	[KEY] Measure, compare, add and subtract: lengths (m,cm,mm); mass (kg,g); volume,capacity (l,ml). 
⤷ GD objective: Measure, compare, add and subtract: lengths (m,cm,mm); mass (kg,g); volume/capacity (l,ml) and use this to solve practical problems.			
KS 2 Y3	Measurement	Measure the perimeter of simple 2-D shapes. 
⤷ GD objective: Measure the perimeter of 2-D shapes including larger or finer measurements.			
KS 2 Y3	Measurement	[KEY] Add and subtract amounts of money to give change, using both £ and p in practical contexts. 
⤷ GD objective: Add and subtract larger amounts of money to give change, using both £ and p in practical contexts.			
KS 2 Y3	Measurement	[KEY] Tell and write the time from an analogue clock, including using Roman numerals from I to XII, and 12-hour and 24-hour clocks. 
⤷ GD objective: Tell and write the time from an analogue clock, including using Roman numerals from I to XII, and 12-hour and 24-hour clocks and use this to solve problems.			
KS 2 Y3	Measurement	Estimate and read time with increasing accuracy to the nearest minute. 
⤷ GD objective: Independently estimate and read time with near accuracy to the nearest minute and use this to measure real-life events.			
KS 2 Y3	Measurement	Record and compare time in terms of seconds, minutes and hours. 
⤷ GD objective: Record, compare and order time in terms of seconds, minutes and hours.			
KS 2 Y3	Measurement	Use vocabulary such as o'clock, a.m./p.m., morning, afternoon, noon and midnight. 
⤷ GD objective: Confidently use vocabulary such as o'clock, a.m., p.m., morning, afternoon, noon and midnight in different subjects such as their writing.			
KS 2 Y3	Measurement	Know the number of seconds in a minute and the number of days in each month, year and leap year. 
⤷ GD objective: Know the number of seconds in a minute and the number of days in each month, year and leap year and can calculate how many days or minutes it is until an event.			
KS 2 Y3	Measurement	Compare durations of events [for example to calculate the time taken by particular events or tasks]. 
⤷ GD objective: Confidently compare durations of real-life events [for example in science, to calculate the time taken by particular events or tasks].			
KS 2 Y3	Shape	
KS 2 Y3	Shape	Draw 2-D shapes and make 3-D shapes using modelling materials. 
⤷ GD objective: Draw 2-D shapes and make 3-D shapes using modelling materials; identifying the 2-D shapes that make up 3-D shapes.			
KS 2 Y3	Shape	Recognise 3-D shapes in different orientations and describe them. 
⤷ GD objective: Recognise the 3-D shapes in different orientations that make up larger objects and describe them using mathematical vocabulary.			
KS 2 Y3	Shape	Recognise angles as a property of shape or a description of a turn. 
⤷ GD objective: Recognise angles as a property of shape or a description of a turn and say whether is it more or less than a quarter or half turn.			
KS 2 Y3	Shape	[KEY] Identify right angles, recognise that two right angles make a half-turn, three make three quarters of a turn and four a complete turn. 
⤷ GD objective: Solve problems by identifying right angles, recognise that two right angles make a half-turn, three make three quarters of a turn and four a complete turn.			
KS 2 Y3	Shape	[KEY] Identify whether angles are greater than or less than a right angle. 
⤷ GD objective: Identify whether angles are greater than or less than a right angle even with small difference; order them from smallest to largest.			
KS 2 Y3	Shape	Identify horizontal and vertical lines and pairs of perpendicular and parallel lines. 
⤷ GD objective: Identify all of the horizontal and vertical lines and pairs of perpendicular and parallel lines in regular 2-D shapes or in a complex pattern.			
KS 2 Y3	Statistics	
KS 2 Y3	Statistics	[KEY] Interpret and present data using bar charts, pictograms and tables. 
⤷ GD objective: Interpret and present data using bar charts, pictograms and tables across different subject areas.			
KS 2 Y3	Statistics	Solve one-step and two-step questions [for example, 'How many more?' and 'How many fewer?'] using information presented in scaled bar charts and pictograms and tables. 
⤷ GD objective: Solve more complex two-step questions using challenging information presented in scaled bar charts and pictograms and tables.			

 MATHEMATICS Key Stage 2 Year 4

Key Stage	Strand	Objective	Notes	Notes	
KS 2 Y4	Number Place Value	
KS 2 Y4	Number Place Value	[KEY] Count in multiples of 6, 7, 9, 25 and 1000. 
⤷ GD objective: Count in multiples of 6, 7, 9, 25 and 1000 and use this knowledge to identify number patterns and rules.			
KS 2 Y4	Number Place Value	Find 1000 more or less than a given number. 
⤷ GD objective: Find 1000 more or less than a given number or unit of measure or across different subjects.			
KS 2 Y4	Number Place Value	[KEY] Count backwards through zero to include negative numbers. 
⤷ GD objective: Confidently and quickly count backwards through zero to include negative numbers.			
KS 2 Y4	Number Place Value	Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones). 
⤷ GD objective: Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones) when working with money and different measures.			
KS 2 Y4	Number Place Value	[KEY] Order and compare numbers beyond 1000. 
⤷ GD objective: Confidently order and compare numbers beyond 1000 when in a variety of contexts.			
KS 2 Y4	Number Place Value	Identify, represent and estimate numbers using different representations. 
⤷ GD objective: Identify, represent and estimate numbers using different representations and use this in and across a range of subjects			
KS 2 Y4	Number Place Value	[KEY] Round any number to the nearest 10, 100 or 1000. 
⤷ GD objective: Accurately round any number to the nearest 10, 100 or 1000 in context.			
KS 2 Y4	Number Place Value	Solve number and practical problems that involve rounding, ordering and exploring negative numbers and with increasingly large positive numbers. 
⤷ GD objective: Confidently solve more complex number and practical problems that involve rounding, ordering and exploring negative numbers and with large positive numbers.			
KS 2 Y4	Number Place Value	Read Roman numerals to 100 (I to C) and know that over time, the numeral system changed to include the concept of zero and place value. 
⤷ GD objective: Independently read and use Roman numerals to 100 (I to C) and know that over time, the numeral system changed to include the concept of zero and place value.			
KS 2 Y4	Addition Subtraction	
KS 2 Y4	Addition Subtraction	Add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate. 
⤷ GD objective: Independently add and subtract numbers with up to 4 digits, including decimal notation, using the formal written methods of columnar addition and subtraction where appropriate.			
KS 2 Y4	Addition Subtraction	Estimate and use inverse operations to check answers to a calculation. 
⤷ GD objective: Accurately estimate and use inverse operations to check answers to a calculation independently.			
KS 2 Y4	Addition Subtraction	[KEY] Solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why. 
⤷ GD objective: #Solve addition and subtraction two-step problems in contexts involving decimal notation, using the most efficient operations and methods to use and explaining why.			
KS 2 Y4	Multiplication Division	
KS 2 Y4	Multiplication Division	[KEY] Recall multiplication and division facts for multiplication tables up to 12 × 12. 
⤷ GD objective: Rapidly and accurately recall multiplication and division facts for multiplication tables up to 12 x 12 when exploring problems.			
KS 2 Y4	Multiplication Division	Use place value, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1. 
⤷ GD objective: Use place value, known and derived facts to multiply and divide mentally, including: multiplying decimal values by 0 and 1.			
KS 2 Y4	Multiplication Division	Use place value, known and derived facts to multiply and divide mentally, including: Dividing by 1. 
⤷ GD objective: Use place value, known and derived facts to multiply and divide mentally, including division of decimal values.			
KS 2 Y4	Multiplication Division	Use place value, known and derived facts to multiply and divide mentally, including: multiplying together three numbers. 
⤷ GD objective: Rapidly and accurately use place value, known and derived facts, to multiply and divide mentally, including: multiplying together three numbers.			
KS 2 Y4	Multiplication Division	Recognise and use factor pairs and commutativity in mental calculations. 
⤷ GD objective: Confidently recognise and describe the use of factor pairs and commutativity in mental calculations.			
KS 2 Y4	Multiplication Division	Multiply two-digit and three-digit numbers by a one-digit number using formal written layout. 
⤷ GD objective: Solve real-life problems involving multiplication of two-digit and three-digit numbers by a one-digit number using formal written layout.			
KS 2 Y4	Multiplication Division	Solve problems involving multiplying and adding, including using the distributive law to multiply two digit numbers by one digit, integer scaling problems and harder correspondence problems such as n objects are connected to m objects. 
⤷ GD objective: Solve more complex problems involving multiplying and adding, including using the distributive law to multiply two digit numbers by one digit, integer scaling problems and harder correspondence problems such as n objects are connected to m objects and begin to suggest rules.			
KS 2 Y4	Fractions	
KS 2 Y4	Fractions	[KEY] Recognise and show, using diagrams, families of common equivalent fractions. 
⤷ GD objective: Recognise and show, using diagrams, families of common equivalent fractions and begin to use this in different subjects and contexts.			
KS 2 Y4	Fractions	[KEY] Count up and down in hundredths; recognise that hundredths arise when dividing an object by one hundred and dividing tenths by ten. 
⤷ GD objective: Independently count up and down in hundredths; recognise that hundredths arise when dividing an object by one hundred and dividing tenths by ten and begin to compare this with units of measurement.			
KS 2 Y4	Fractions	Solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including non-unit fractions where the answer is a whole number. 
⤷ GD objective: Solve multi-step problems involving increasingly more challenging fractions to calculate quantities, and fractions to divide quantities, including non-unit fractions where the answer is a whole number.			
KS 2 Y4	Fractions	Add and subtract fractions with the same denominator. 
⤷ GD objective: Add and subtract fractions with the same denominator to solve problems in different subjects or across multi-step problems.			
KS 2 Y4	Fractions	Recognise and write decimal equivalents of any number of tenths or hundredths. 
⤷ GD objective: Recognise, write and order decimal equivalents of any number of tenths or hundredths.			
KS 2 Y4	Fractions	Recognise and write decimal equivalents to  1/4,  1/2, 3/4. 
⤷ GD objective: Independently recognise, write and order decimal equivalents to 1/4, 1/2, 3/4 and 2/4.			
KS 2 Y4	Fractions	Find the effect of dividing a one- or two-digit number by 10 and 100, identifying the value of the digits in the answer as ones, tenths and hundredths. 
⤷ GD objective: Confidently find the effect of dividing a one- or two-digit number by 10 and 100, identifying the value of the digits in the answer as ones, tenths and hundredths.			
KS 2 Y4	Fractions	[KEY] Round decimals with one decimal place to the nearest whole number. 
⤷ GD objective: Round decimals with one decimal place to the nearest whole number to estimate and check the answers to problems.			
KS 2 Y4	Fractions	Compare numbers with the same number of decimal places up to two decimal places. 
⤷ GD objective: Compare and order a range of numbers with the same number of decimal places up to two decimal places.			
KS 2 Y4	Fractions	[KEY] Solve simple measure and money problems involving fractions and decimals to two decimal places. 
⤷ GD objective: Solve more complex measure and money problems involving fractions and decimals to two decimal places.			
KS 2 Y4	Measurement	
KS 2 Y4	Measurement	[KEY] Convert between different units of measure [for example, kilometre to metre; hour to minute]. 
⤷ GD objective: Convert between different units of measure [for example, kilometre to metre; hour to minute] to solve real-life, multi-step problems.			
KS 2 Y4	Measurement	Measure and calculate the perimeter of a rectilinear figure (including squares) in centimetres and metres. 
⤷ GD objective: Measure and calculate the perimeter of a compound rectilinear figure in centimetres and metres.			
KS 2 Y4	Measurement	Find the area of rectilinear shapes by counting squares. 
⤷ GD objective: Find the area of rectilinear shapes by multiplying the length by the width.			
KS 2 Y4	Measurement	Estimate, compare and calculate different measures, including money in pounds and pence. 
⤷ GD objective: Estimate, compare and calculate different measures, including money in pounds and pence and use this to solve real-life problems.			
KS 2 Y4	Measurement	Read, write and convert time between analogue and digital 12- and 24-hour clocks. 
⤷ GD objective: Solve problems involving reading, writing and converting time between analogue and digital 12- and 24-hour clocks.			
KS 2 Y4	Measurement	Solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks to days. 
⤷ GD objective: Confidently solve real-life problems involving converting to and from hours and minutes; minutes and seconds; years and months; weeks and days.			
KS 2 Y4	Shape	
KS 2 Y4	Shape	[KEY] Compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes. 
⤷ GD objective: Confidently compare and classify geometric shapes, including quadrilaterals and triangles, based on their range of properties and sizes.			
KS 2 Y4	Shape	Identify acute and obtuse angles and compare and order angles up to two right angles by size. 
⤷ GD objective: Independently identify acute and obtuse angles and compare and order angles up to two right angles by size.			
KS 2 Y4	Shape	[KEY] Identify lines of symmetry in 2-D shapes presented in different orientations. 
⤷ GD objective: Independently identify multiple lines of symmetry in 2-D shapes presented in different orientations.			
KS 2 Y4	Shape	Complete a simple symmetric figure with respect to a specific line of symmetry. 
⤷ GD objective: Complete a more complex symmetric figure with respect to a specific line of symmetry.			
KS 2 Y4	Position	
KS 2 Y4	Position	Describe positions on a 2-D grid as coordinates in the first quadrant. 
⤷ GD objective: Describe and plot positions on a 2-D grid as coordinates in the first quadrant.			
KS 2 Y4	Position	Describe movements between positions as translations of a given unit to the left/right and up/down. 
⤷ GD objective: Accurately describe movements between positions as translations of a given unit to illustrate the movement of a shape to the left/right and up/down.			
KS 2 Y4	Position	[KEY] Plot specified points and draw sides to complete a given polygon. 
⤷ GD objective: Plot specified points and draw sides to complete a given regular and irregular polygon.			
KS 2 Y4	Statistics	
KS 2 Y4	Statistics	Interpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs. 
⤷ GD objective: Interpret and present a range of discrete and continuous data using appropriate graphical methods, including bar charts and time graphs from a range of different subjects.			
KS 2 Y4	Statistics	[KEY] Solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs. 
⤷ GD objective: Solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs across different subjects and contexts.			

 MATHEMATICS Key Stage 2 Year 5

Key Stage	Strand	Objective	Notes	Notes	
KS 2 Y5	Number Place Value	
KS 2 Y5	Number Place Value	[KEY] Read, write, order and compare numbers to at least 1 000 000 and determine the value of each digit. 
⤷ GD objective: Independently read, write, order and compare numbers to at least 1 000 000 and determine the value of each digit, including written numbers.			
KS 2 Y5	Number Place Value	Count forwards or backwards in steps of powers of 10 for any given number up to 1 000 000. 
⤷ GD objective: Confidently and quickly count forwards or backwards in steps of powers of 10 for any given number up to 1 000 000.			
KS 2 Y5	Number Place Value	[KEY] Interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through zero. 
⤷ GD objective: Independently interpret negative numbers in a variety of contexts, count forwards and backwards with positive and negative whole numbers, including through zero.			
KS 2 Y5	Number Place Value	Round any number up to 1 000 000 to the nearest 10, 100, 1000, 10 000 and 100 000. 
⤷ GD objective: Round any number up to 1 000 000 to the nearest 10, 100, 1000, 10 000 and 100 000 and use this to predict and check the answers to calculations			
KS 2 Y5	Number Place Value	Solve number problems and practical problems that involve numbers up to 1000000, negative numbers, rounding or jumping in steps. 
⤷ GD objective: Solve multi-step number problems and practical problems in a range of contexts that involve numbers up to 1000000, negative numbers, rounding or jumping in steps.			
KS 2 Y5	Number Place Value	Read Roman numerals to 1000 (M) and recognise years written in Roman numerals. 
⤷ GD objective: Confidently read Roman numerals to 1000 (M) and recognise and explain years written in Roman numerals.			
KS 2 Y5	Addition Subtraction	
KS 2 Y5	Addition Subtraction	[KEY] Add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction). 
⤷ GD objective: Add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction) in a range of contexts.			
KS 2 Y5	Addition Subtraction	[KEY] Add and subtract numbers mentally with increasingly large numbers. 
⤷ GD objective: Rapidly add and subtract numbers mentally with increasingly large numbers.			
KS 2 Y5	Addition Subtraction	Use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy. 
⤷ GD objective: #accurately use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy.			
KS 2 Y5	Addition Subtraction	Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why. 
⤷ GD objective: Independently solve more complex addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why.			
KS 2 Y5	Multiplication Division	
KS 2 Y5	Multiplication Division	[KEY] Identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers. 
⤷ GD objective: Solve problems mentally by identifying multiples and factors, including finding all factor pairs of a number, and common factors of two numbers.			
KS 2 Y5	Multiplication Division	Know and use the vocabulary of prime numbers, prime factors and composite (non-prime) numbers. 
⤷ GD objective: Confidently use the vocabulary of prime numbers, prime factors and composite (non-prime) numbers when reasoning about problems and investigations.			
KS 2 Y5	Multiplication Division	Establish whether a number up to 100 is prime and recall prime numbers up to 19. 
⤷ GD objective: Establish whether a number up to 100 is prime and recall prime numbers up to 19 and use this in maths investigations.			
KS 2 Y5	Multiplication Division	Multiply numbers up to 4 digits by a one- or two-digit number using a formal written method, including long multiplication for two-digit numbers. 
⤷ GD objective: Confidently multiply numbers up to 4 digits by a one- or two-digit number using a formal written method, including long multiplication for two-digit numbers to solve a range of complex problems.			
KS 2 Y5	Multiplication Division	Multiply and divide numbers mentally drawing upon known facts. 
⤷ GD objective: Multiply and divide numbers mentally drawing upon known facts to solve practical problems.			
KS 2 Y5	Multiplication Division	Divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context. 
⤷ GD objective: Divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders as fractions or decimal values.			
KS 2 Y5	Multiplication Division	Multiply and divide whole numbers and those involving decimals by 10, 100 and 1000. 
⤷ GD objective: Rapidly and accurately mentally multiply and divide whole numbers and those involving decimals by 10, 100 and 1000.			
KS 2 Y5	Multiplication Division	Recognise and use square numbers and cube numbers, and the notation for squared (2) and cubed (3). 
⤷ GD objective: Use square numbers and cube numbers, and the notation for squared (2) and cubed (3) when solving problems.			
KS 2 Y5	Multiplication Division	[KEY] Solve problems involving multiplication and division including using their knowledge of factors and multiples, squares and cubes. 
⤷ GD objective: Independently solve increasingly more complex problems involving efficient methods of multiplication and division including using their knowledge of factors and multiples, squares and cubes.			
KS 2 Y5	Multiplication Division	Solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign. 
⤷ GD objective: Independently solve multi-step problems involving efficient methods of addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign.			
KS 2 Y5	Multiplication Division	[KEY] Solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates. 
⤷ GD objective: Solve more complex problems involving multiplication and division, including scaling by fractions and problems involving simple rates.			
KS 2 Y5	Fractions	
KS 2 Y5	Fractions	[KEY] Compare and order fractions whose denominators are all multiples of the same number. 
⤷ GD objective: Compare and order fractions whose denominators are all multiples of the same number and use this across different subjects.			
KS 2 Y5	Fractions	Identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths. 
⤷ GD objective: Independently identify, name and write a range of equivalent fractions of a given fraction, represented visually, including tenths and hundredths.			
KS 2 Y5	Fractions	Recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements greater than 1 as a mixed number [for example, 2/5 + 4/5 = 6/5 = 1 1/5]. 
⤷ GD objective: Solve more complex problems by recognising mixed numbers and improper fractions and converting from one form to the other and writing mathematical statements greater than 1 as a mixed number [for example, 2/5 + 4/5 = 6/5 = 1 1/5].			
KS 2 Y5	Fractions	Add and subtract fractions with the same denominator and denominators that are multiples of the same number. 
⤷ GD objective: Across a range of contexts, independently add and subtract fractions with the same denominator and denominators that are multiples of the same number.			
KS 2 Y5	Fractions	Multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams. 
⤷ GD objective: Multiply proper fractions and mixed numbers by whole numbers without support.			
KS 2 Y5	Fractions	[KEY] Read and write decimal numbers as fractions [for example, 0.71 = 71/100]. 
⤷ GD objective: Read and write decimal numbers as fractions [for example, 0.71 = 71/100] and simplify them where possible.			
KS 2 Y5	Fractions	Recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents. 
⤷ GD objective: Recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents across different subject areas.			
KS 2 Y5	Fractions	Round decimals with two decimal places to the nearest whole number and to one decimal place. 
⤷ GD objective: Confidently round decimals with two decimal places to the nearest whole number and to one decimal place and use this in different subjects to present information.			
KS 2 Y5	Fractions	[KEY] Read, write, order and compare numbers with up to three decimal places. 
⤷ GD objective: Independently read, write, arrange, order and compare numbers with up to three decimal places.			
KS 2 Y5	Fractions	Solve problems involving number up to three decimal places. 
⤷ GD objective: Solve real-life problems involving number up to three decimal places using efficient methods of calculation.			
KS 2 Y5	Fractions	Recognise the per cent symbol (%) and understand that per cent relates to 'number of parts per hundred', and write percentages as a fraction with denominator 100, and as a decimal. 
⤷ GD objective: Confidently relate percentages with their fraction and decimal equivalences.			
KS 2 Y5	Fractions	[KEY] Solve problems which require knowing percentage and decimal equivalents of 1/2, 1/4, 1/5, 2/5, 4/5 and those fractions with a denominator of a multiple of 10 or 25. 
⤷ GD objective: Confidently solve real-life and practical problems which require knowing percentage and decimal equivalents of those fractions with a denominator of a multiple of 10 or 25.			
KS 2 Y5	Measurement	
KS 2 Y5	Measurement	[KEY] Convert between different units of metric measure (for example, kilometre and metre; centimetre and metre; centimetre and millimetre; gram and kilogram; litre and millilitre). 
⤷ GD objective: Convert between a wider range of metric measure (for example, kilometre and centimetre; metre and millimetre; gram and kilogram; litre and millilitre) and use this to solve real-life problems.			
KS 2 Y5	Measurement	Understand and use approximate equivalences between metric units and common imperial units such as inches, pounds and pints. 
⤷ GD objective: Solve problems across the curriculum involving equivalences between metric units and common imperial units such as inches, pounds and pints.			
KS 2 Y5	Measurement	[KEY] Measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres. 
⤷ GD objective: Measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres and use this to solve practical problems.			
KS 2 Y5	Measurement	[KEY] Calculate and compare the area of rectangles (including squares), and including using standard units, square centimetres (cm2) and square metres (m2) and estimate the area of irregular shapes. 
⤷ GD objective: Calculate and compare the area of compound rectangles (including squares), and including using standard units, square centimetres (cm2) and square metres (m2) and estimate the area of irregular shapes.			
KS 2 Y5	Measurement	Estimate volume [for example, using 1 cm3 blocks to build cuboids (including cubes)] and capacity [for example, using water]. 
⤷ GD objective: Accurately estimate and measure the volume or capacity of shapes.			
KS 2 Y5	Measurement	Solve problems involving converting between units of time. 
⤷ GD objective: Solve problems involving converting different units of time into one common measurement.			
KS 2 Y5	Measurement	Use all four operations to solve problems involving measure [for example, length, mass, volume, money] using decimal notation, including scaling. 
⤷ GD objective: Use all four operations efficiently in combination to solve multi-step problems involving measure [for example, length, mass, volume, money] using decimal notation, including scaling.			
KS 2 Y5	Shape	
KS 2 Y5	Shape	Identify 3-D shapes, including cubes and other cuboids, from 2-D representations. 
⤷ GD objective: Identify and create 3-D shapes, including cubes and other cuboids, from 2-D representations.			
KS 2 Y5	Shape	Know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles. 
⤷ GD objective: Accurately measure, classify, order and compare acute, obtuse and reflex angles.			
KS 2 Y5	Shape	[KEY] Draw given angles, and measure them in degrees (°). 
⤷ GD objective: Accurately draw given angles, measure them in degrees (°) and use this to construct shapes.			
KS 2 Y5	Shape	Identify angles at a point and one whole turn (total 360°). 
⤷ GD objective: Solve complex problems by identifying angles at a point and one whole turn (total 360°).			
KS 2 Y5	Shape	Identify angles at a point on a straight line and a turn (total 180°). 
⤷ GD objective: Identify angles at a point on a straight line and a turn (total 180°) and use this to solve more challenging problems.			
KS 2 Y5	Shape	Identify other multiples of 90°. 
⤷ GD objective: Identify other multiples of 90° and use this to solve problems.			
KS 2 Y5	Shape	Use the properties of rectangles to deduce related facts and find missing lengths and angles. 
⤷ GD objective: Use the properties of rectangles to deduce related facts and find missing lengths and angles in compound shapes.			
KS 2 Y5	Shape	[KEY] Distinguish between regular and irregular polygons based on reasoning about equal sides and angles. 
⤷ GD objective: Independently distinguish between regular and irregular polygons based on reasoning about equal sides and angles.			
KS 2 Y5	Position	
KS 2 Y5	Position	Identify, describe and represent the position of a shape following a reflection or translation, using the appropriate language, and know that the shape has not changed. 
⤷ GD objective: Identify, describe and represent the position of a complex shapes following a reflection or translation, using the appropriate language, and know that the shape has not changed.			
KS 2 Y5	Statistics	
KS 2 Y5	Statistics	Solve comparison, sum and difference problems using information presented in a line graph. 
⤷ GD objective: Solve comparison, sum and difference problems using information presented in a line graph across different subjects.			
KS 2 Y5	Statistics	[KEY] Complete, read and interpret information in tables, including timetables. 
⤷ GD objective: Complete, read and interpret information in tables, including timetables to solve problems.			

 MATHEMATICS Key Stage 2 Year 6

Key Stage	Strand	Objective	Notes	Notes	
KS 2 Y6	Number Place Value	
KS 2 Y6	Number Place Value	[EXS] [KEY] Read, write, order and compare numbers up to 10 000 000 and determine the value of each digit. 
⤷ GD objective: Confidently read, write, order and compare numbers up to 10 000 000 and determine the value of each digit.			
KS 2 Y6	Number Place Value	Round any whole number to a required degree of accuracy. 
⤷ GD objective: Round any whole number to a required degree of accuracy using a range of different measures and contexts.			
KS 2 Y6	Number Place Value	Use negative numbers in context, and calculate intervals across zero. 
⤷ GD objective: Use negative numbers in context, and calculate intervals across zero to solve real-life problems.			
KS 2 Y6	Number Place Value	[EXS] [KEY] Solve number and practical problems that involve large numbers, rounding and negative numbers. 
⤷ GD objective: Independently solve more complex number and practical problems that involve large numbers, rounding and negative numbers.			
KS 2 Y6	Multiplication Division	
KS 2 Y6	Multiplication Division	Multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication. 
⤷ GD objective: Efficiently multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication in a range of contexts and problems.			
KS 2 Y6	Multiplication Division	Divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context. 
⤷ GD objective: Efficiently divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context.			
KS 2 Y6	Multiplication Division	[EXS] [KEY] Divide numbers up to 4 digits by a two-digit number using the formal written method of short division where appropriate, interpreting remainders according to the context. 
⤷ GD objective: Efficiently divide numbers up to 4 digits by a two-digit number using the formal written method of short division where appropriate, interpreting and explaining remainders according to the context.			
KS 2 Y6	Multiplication Division	[EXS] [KEY] Perform mental calculations, including with mixed operations and large numbers. 
⤷ GD objective: Rapidly and accurately perform mental calculations, including with mixed operations and large numbers.			
KS 2 Y6	Multiplication Division	Identify common factors, common multiples and prime numbers. 
⤷ GD objective: Identify all of the common factors, common multiples and prime numbers in a given range.			
KS 2 Y6	Multiplication Division	[EXS] [KEY] Use their knowledge of the order of operations to carry out calculations involving the four operations. 
⤷ GD objective: Use their knowledge of the order of operations to carry out calculations involving the four operations in different contexts and explaining why the order is important.			
KS 2 Y6	Multiplication Division	[EXS] [KEY] Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why. 
⤷ GD objective: Solve addition and subtraction multi-step problems in a range of contexts and across subjects, using the most efficient operations and methods to use and why.			
KS 2 Y6	Multiplication Division	[EXS] [KEY] Solve problems involving addition, subtraction, multiplication and division. 
⤷ GD objective: Solve problems across a range of contexts and subjects involving addition, subtraction, multiplication and division.			
KS 2 Y6	Multiplication Division	Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy. 
⤷ GD objective: Use accurate estimation steps prior and after calculations to check answers and determine, in the context of a problem, an appropriate degree of accuracy.			
KS 2 Y6	Fractions	
KS 2 Y6	Fractions	Use common factors to simplify fractions; use common multiples to express fractions in the same denomination. 
⤷ GD objective: Use common factors to simplify fractions accurately; use common multiples to express fractions in the same denomination to solve problems.			
KS 2 Y6	Fractions	Compare and order fractions, including fractions greater than 1. 
⤷ GD objective: Compare and order a range of fractions, including fractions greater than 1 in a mixture of contexts and measurements.			
KS 2 Y6	Fractions	[EXS] [KEY] Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions. 
⤷ GD objective: Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions to solve multi-step problems.			
KS 2 Y6	Fractions	[EXS] [KEY] Multiply simple pairs of proper fractions, writing the answer in its simplest form [for example, 1/4 × 1/2 = 1/8]. 
⤷ GD objective: Multiply pairs of proper fractions, writing the answer in its simplest form [for example, 1/6 x 1/3 = 1/18] to solve real-life problems.			
KS 2 Y6	Fractions	[EXS] [KEY] Divide proper fractions by whole numbers [for example, 1/3 ÷ 2 = 1/6]. 
⤷ GD objective: Solve problems by dividing proper fractions by whole numbers [for example, 1/3 ÷ 4 = 1/12] in a variety of contexts.			
KS 2 Y6	Fractions	[EXS] [KEY] Associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example, 3/8]. 
⤷ GD objective: Confidently associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example, 3/8], using knowledge across subjects.			
KS 2 Y6	Fractions	Identify the value of each digit in numbers given to three decimal places and multiply and divide numbers by 10, 100 and 1000 giving answers up to three decimal places. 
⤷ GD objective: Identify the value of each digit in numbers given to three decimal places and multiply and divide numbers by 10, 100 and 1000 giving answers up to three decimal places to solve multiple-step problems and convert measurements			
KS 2 Y6	Fractions	[EXS] [KEY] Multiply one-digit numbers with up to two decimal places by whole numbers. 
⤷ GD objective: Multiply one-digit numbers with up to two decimal places by whole numbers in a range of contexts.			
KS 2 Y6	Fractions	[EXS] [KEY] Use written division methods in cases where the answer has up to two decimal places. 
⤷ GD objective: Confidently choose and use written division methods in cases where the answer has up to two decimal places.			
KS 2 Y6	Fractions	[EXS] [KEY] Solve problems which require answers to be rounded to specified degrees of accuracy. 
⤷ GD objective: Solve complex problems which require answers to be rounded to specified degrees of accuracy.			
KS 2 Y6	Fractions	[EXS] [KEY] Recall and use equivalences between simple fractions, decimals and percentages, including in different contexts. 
⤷ GD objective: Rapidly recall and use equivalences between simple fractions, decimals and percentages, including in different contexts.			
KS 2 Y6	Ratio	
KS 2 Y6	Ratio	Solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts. 
⤷ GD objective: Solve complex problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts.			
KS 2 Y6	Ratio	[EXS] [KEY] Solve problems involving the calculation of percentages [for example, of measures, and such as 15% of 360] and the use of percentages for comparison. 
⤷ GD objective: Solve real-life problems involving the calculation of percentages [for example, of measures, and such as 17% of 360] and the use of percentages for comparison.			
KS 2 Y6	Ratio	Solve problems involving similar shapes where the scale factor is known or can be found. 
⤷ GD objective: Solve extended problems involving similar shapes where the scale factor is known or can be found.			
KS 2 Y6	Ratio	Solve problems involving unequal sharing and grouping using knowledge of fractions and multiples. 
⤷ GD objective: Solve complex problems involving unequal sharing and grouping using knowledge of fractions and multiples.			
KS 2 Y6	Algebra	
KS 2 Y6	Algebra	[EXS] [KEY] Use simple formulae. 
⤷ GD objective: Confidently use formulae to solve problems.			
KS 2 Y6	Algebra	Generate and describe linear number sequences. 
⤷ GD objective: Generate and describe with an algebraic formula, linear number sequences.			
KS 2 Y6	Algebra	Express missing number problems algebraically. 
⤷ GD objective: Express missing number problems algebraically with two or more unknowns.			
KS 2 Y6	Algebra	[EXS] [KEY] Find pairs of numbers that satisfy an equation with two unknowns. 
⤷ GD objective: Find all the pairs of numbers that satisfy an equation with two unknowns.			
KS 2 Y6	Algebra	Enumerate possibilities of combinations of two variables. 
⤷ GD objective: Enumerate all possibilities of combinations of two variables.			
KS 2 Y6	Measurement	
KS 2 Y6	Measurement	[EXS] [KEY] Solve problems involving the calculation and conversion of units of measure, using decimal notation up to three decimal places where appropriate. 
⤷ GD objective: Solve more complex problems involving the calculation and conversion of units of measure, using decimal notation up to three decimal places where appropriate.			
KS 2 Y6	Measurement	[EXS] [KEY] Use, read, write and convert between standard units, converting measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa, using decimal notation to up to three decimal places. 
⤷ GD objective: Confidently use, read, write and convert between standard units in real-life contexts, converting measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa, using decimal notation to up to three decimal places.			
KS 2 Y6	Measurement	Convert between miles and kilometres. 
⤷ GD objective: Convert between miles and kilometres and use this across different subjects.			
KS 2 Y6	Measurement	Recognise that shapes with the same areas can have different perimeters and vice versa. 
⤷ GD objective: Recognise that shapes with the same areas can have different perimeters and vice versa, identifying possible patterns and rules.			
KS 2 Y6	Measurement	Recognise when it is possible to use formulae for area and volume of shapes. 
⤷ GD objective: Recognise when it is possible to use formulae for area and volume of shapes to solve puzzles.			
KS 2 Y6	Measurement	Calculate the area of parallelograms and triangles. 
⤷ GD objective: Calculate the area of parallelograms and triangles and use this to solve problems.			
KS 2 Y6	Measurement	Calculate, estimate and compare volume of cubes and cuboids using standard units, including cubic centimetres (cm3) and cubic metres (m3), and extending to other units [for example, mm3 and km3]. 
⤷ GD objective: Solve real-life and multi-step problems by calculating, estimating and comparing volume of cubes and cuboids using standard units, including cubic centimetres (cm3) and cubic metres (m3), and extending to other units [for example, mm3 and km3].			
KS 2 Y6	Shape	
KS 2 Y6	Shape	Draw 2-D shapes using given dimensions and angles. 
⤷ GD objective: Draw 2-D shapes to different scales using given dimensions and angles.			
KS 2 Y6	Shape	Recognise, describe and build simple 3-D shapes, including making nets. 
⤷ GD objective: Recognise, describe and build simple 3-D shapes, including making and identifying nets of compound shapes.			
KS 2 Y6	Shape	[EXS] [KEY] Compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons. 
⤷ GD objective: Accurately compare and classify geometric shapes based on a range of their properties and sizes and independently calculate unknown angles in any triangles, quadrilaterals, and irregular polygons.			
KS 2 Y6	Shape	Illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius. 
⤷ GD objective: Solve practical and in-depth problems involving the radius, diameter and circumference of circles.			
KS 2 Y6	Shape	[EXS] [KEY] Recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles. 
⤷ GD objective: Recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles and use this to solve extended and real-life problems.			
KS 2 Y6	Position	
KS 2 Y6	Position	Describe positions on the full coordinate grid (all four quadrants). 
⤷ GD objective: Independently describe positions on the full coordinate grid (all four quadrants).			
KS 2 Y6	Position	Draw and translate simple shapes on the coordinate plane, and reflect them in the axes. 
⤷ GD objective: Draw and translate more complex shapes on the coordinate plane, and reflect them in the axes.			
KS 2 Y6	Statistics	
KS 2 Y6	Statistics	Interpret and construct pie charts and line graphs and use these to solve problems. 
⤷ GD objective: Independently interpret and construct pie charts and line graphs across a range of subject areas and use these to solve problems.			
KS 2 Y6	Statistics	Calculate and interpret the mean as an average. 
⤷ GD objective: Calculate and interpret the mean, median and mode as averages.			

 MATHEMATICS Key Stage 3 Year 7,8,9

Key Stage	Strand	Objective	Notes	Notes	
KS 3 Y7,8,9	Number Place Value	
KS 3 Y7,8,9	Number Place Value	Understand and use place value for decimals, measures and integers of any size. 			
KS 3 Y7,8,9	Number Place Value	Order positive and negative integers, decimals and fractions; use the number line as a model for ordering of the real numbers; use the symbols equals, not equals, less than, greater than, less than or equal, greater than or equals. 			
KS 3 Y7,8,9	Number Place Value	Use the concepts and vocabulary of prime numbers, factors (or divisors), multiples, common factors, common multiples, highest common factor, lowest common multiple, prime factorisation, including using product notation and the unique factorisation property. 			
KS 3 Y7,8,9	Multiplication Division	
KS 3 Y7,8,9	Multiplication Division	Use the four operations, including formal written methods, applied to integers, decimals, proper and improper fractions, and mixed numbers, all both positive and negative. 			
KS 3 Y7,8,9	Number Place Value	
KS 3 Y7,8,9	Number Place Value	Use conventional notation for the priority of operations, including brackets, powers, roots and reciprocals. 			
KS 3 Y7,8,9	Multiplication Division	
KS 3 Y7,8,9	Multiplication Division	Recognise and use relationships between operations including inverse operations. 			
KS 3 Y7,8,9	Number Place Value	
KS 3 Y7,8,9	Number Place Value	Use integer powers and associated real roots (square, cube and higher), recognise powers of 2, 3, 4, 5  and distinguish between exact representations of roots and their decimal approximations . 			
KS 3 Y7,8,9	Number Place Value	Interpret and compare numbers in standard form A x 10n  where A greater than or equal to 1 less and A is less than 10, where n is a positive or negative integer or zero. 			
KS 3 Y7,8,9	Fractions	
KS 3 Y7,8,9	Fractions	Work interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and  7/2 or 0.375 and  3/8). 			
KS 3 Y7,8,9	Fractions	Define percentage as 'number of parts per hundred', interpret percentages and percentage changes as a fraction or a decimal, interpret these multiplicatively, express one quantity as a percentage of another, compare two quantities using percentages, and work with percentages greater than 100%. 			
KS 3 Y7,8,9	Fractions	Interpret fractions and percentages as operators. 			
KS 3 Y7,8,9	Measurement	
KS 3 Y7,8,9	Measurement	Use standard units of mass, length, time, money and other measures, including with decimal quantities. 			
KS 3 Y7,8,9	Number Place Value	
KS 3 Y7,8,9	Number Place Value	Round numbers and measures to an appropriate degree of accuracy [for example, to a number of decimal places or significant figures]. 			
KS 3 Y7,8,9	Number Place Value	Use approximation through rounding to estimate answers and calculate possible resulting errors expressed using inequality notation a less than x less than or equal to b. 			
KS 3 Y7,8,9	Number Place Value	Use a calculator and other technologies to calculate results accurately and then interpret them appropriately. 			
KS 3 Y7,8,9	Number Place Value	Appreciate the infinite nature of the sets of integers, real and rational numbers. 			
KS 3 Y7,8,9	Algebra	
KS 3 Y7,8,9	Algebra	Use and interpret algebraic notation, including ab in place of a x b. 			
KS 3 Y7,8,9	Algebra	Use and interpret algebraic notation, including 3y in place of y + y  + y and 3 × y. 			
KS 3 Y7,8,9	Algebra	Use and interpret algebraic notation, including a2 in place of a × a, a3 in place of a × a × a; a2b in place of a × a × b. 			
KS 3 Y7,8,9	Algebra	Use and interpret algebraic notation, including a/b in place of a divided by b. 			
KS 3 Y7,8,9	Algebra	Use and interpret algebraic notation, including coefficients written as fractions rather than as decimals. 			
KS 3 Y7,8,9	Algebra	Use and interpret algebraic notation, including brackets. 			
KS 3 Y7,8,9	Algebra	Substitute numerical values into formulae and expressions, including scientific formulae. 			
KS 3 Y7,8,9	Algebra	Understand and use the concepts and vocabulary of expressions, equations, inequalities, terms and factors. 			
KS 3 Y7,8,9	Algebra	Simplify and manipulate algebraic expressions to maintain equivalence by collecting like terms. 			
KS 3 Y7,8,9	Algebra	Simplify and manipulate algebraic expressions to maintain equivalence by multiplying a single term over a bracket. 			
KS 3 Y7,8,9	Algebra	Simplify and manipulate algebraic expressions to maintain equivalence by taking out common factors. 			
KS 3 Y7,8,9	Algebra	Simplify and manipulate algebraic expressions to maintain equivalence by expanding products of two or more binomials. 			
KS 3 Y7,8,9	Algebra	Understand and use standard mathematical formulae; rearrange formulae to change the subject. 			
KS 3 Y7,8,9	Algebra	Model situations or procedures by translating them into algebraic expressions or formulae and by using graphs. 			
KS 3 Y7,8,9	Algebra	Use algebraic methods to solve linear equations in one variable (including all forms that require rearrangement). 			
KS 3 Y7,8,9	Algebra	Work with coordinates in all four quadrants. 			
KS 3 Y7,8,9	Algebra	Recognise, sketch and produce graphs of linear and quadratic functions of one variable with appropriate scaling, using equations in x and y and the Cartesian plane. 			
KS 3 Y7,8,9	Algebra	Interpret mathematical relationships both algebraically and graphically. 			
KS 3 Y7,8,9	Algebra	Reduce a given linear equation in two variables to the standard form y = mx + c; calculate and interpret gradients and intercepts of graphs of such linear equations numerically, graphically and algebraically. 			
KS 3 Y7,8,9	Algebra	Use linear and quadratic graphs to estimate values of y for given values of x and vice versa and to find approximate solutions of simultaneous linear equations. 			
KS 3 Y7,8,9	Algebra	Find approximate solutions to contextual problems from given graphs of a variety of functions, including piece-wise linear, exponential and reciprocal graphs. 			
KS 3 Y7,8,9	Algebra	Generate terms of a sequence from either a term-to-term or a position-to-term rule. 			
KS 3 Y7,8,9	Algebra	Recognise arithmetic sequences and find the nth term. 			
KS 3 Y7,8,9	Algebra	Recognise geometric sequences and appreciate other sequences that arise. 			
KS 3 Y7,8,9	Ratio	
KS 3 Y7,8,9	Ratio	Change freely between related standard units [for example time, length, area, volume/capacity, mass]. 			
KS 3 Y7,8,9	Ratio	Use scale factors, scale diagrams and maps. 			
KS 3 Y7,8,9	Ratio	Express one quantity as a fraction of another, where the fraction is less than 1 and greater than 1. 			
KS 3 Y7,8,9	Ratio	Use ratio notation, including reduction to simplest form. 			
KS 3 Y7,8,9	Ratio	Divide a given quantity into two parts in a given part:part or part:whole ratio; express the division of a quantity into two parts as a ratio. 			
KS 3 Y7,8,9	Ratio	Understand that a multiplicative relationship between two quantities can be expressed as a ratio or a fraction. 			
KS 3 Y7,8,9	Ratio	Relate the language of ratios and the associated calculations to the arithmetic of fractions and to linear functions. 			
KS 3 Y7,8,9	Ratio	Solve problems involving percentage change, including: percentage increase, decrease and original value problems and simple interest in financial mathematics. 			
KS 3 Y7,8,9	Ratio	Solve problems involving direct and inverse proportion, including graphical and algebraic representations. 			
KS 3 Y7,8,9	Ratio	Use compound units such as speed, unit pricing and density to solve problems. 			
KS 3 Y7,8,9	Shape	
KS 3 Y7,8,9	Shape	Derive and apply formulae to calculate and solve problems involving: perimeter and area of triangles, parallelograms, trapezia, volume of cuboids (including cubes) and other prisms (including cylinders). 			
KS 3 Y7,8,9	Shape	Calculate and solve problems involving: perimeters of 2-D shapes (including circles), areas of circles and composite shapes. 			
KS 3 Y7,8,9	Shape	Draw and measure line segments and angles in geometric figures, including interpreting scale drawings. 			
KS 3 Y7,8,9	Shape	Derive and use the standard ruler and compass constructions (perpendicular bisector of a line segment, constructing a perpendicular to a given line from/at a given point, bisecting a given angle); recognise and use the perpendicular distance from a point to a line as the shortest distance to the line . 			
KS 3 Y7,8,9	Shape	Describe, sketch and draw using conventional terms and notations: points, lines, parallel lines, perpendicular lines, right angles, regular polygons, and other polygons that are reflectively and rotationally symmetric. 			
KS 3 Y7,8,9	Shape	Use the standard conventions for labelling the sides and angles of triangle ABC, and know and use the criteria for congruence of triangles. 			
KS 3 Y7,8,9	Shape	Derive and illustrate properties of triangles, quadrilaterals, circles, and other plane figures [for example, equal lengths and angles] using appropriate language and technologies. 			
KS 3 Y7,8,9	Position	
KS 3 Y7,8,9	Position	Identify properties of, and describe the results of, translations, rotations and reflections applied to given figures. 			
KS 3 Y7,8,9	Shape	
KS 3 Y7,8,9	Shape	Identify and construct congruent triangles, and construct similar shapes by enlargement, with and without coordinate grids. 			
KS 3 Y7,8,9	Shape	Apply the properties of angles at a point, angles at a point on a straight line, vertically opposite angles. 			
KS 3 Y7,8,9	Shape	Understand and use the relationship between parallel lines and alternate and corresponding angles. 			
KS 3 Y7,8,9	Shape	Derive and use the sum of angles in a triangle and use it to deduce the angle sum in any polygon, and to derive properties of regular polygons. 			
KS 3 Y7,8,9	Shape	Apply angle facts, triangle congruence, similarity and properties of quadrilaterals to derive results about angles and sides, including Pythagoras' Theorem, and use known results to obtain simple proofs. 			
KS 3 Y7,8,9	Shape	Use Pythagoras' Theorem and trigonometric ratios in similar triangles to solve problems involving right-angled triangles. 			
KS 3 Y7,8,9	Shape	Use the properties of faces, surfaces, edges and vertices of cubes, cuboids, prisms, cylinders, pyramids, cones and spheres to solve problems in 3-D. 			
KS 3 Y7,8,9	Shape	Interpret mathematical relationships both algebraically and geometrically. 			
KS 3 Y7,8,9	Statistics	
KS 3 Y7,8,9	Statistics	Record, describe and analyse the frequency of outcomes of simple probability experiments involving randomness, fairness, equally and unequally likely outcomes, using appropriate language and the 0-1 probability scale. 			
KS 3 Y7,8,9	Statistics	Understand that the probabilities of all possible outcomes sum to 1. 			
KS 3 Y7,8,9	Statistics	Enumerate sets and unions/intersections of sets systematically, using tables, grids and Venn diagrams. 			
KS 3 Y7,8,9	Statistics	Generate theoretical sample spaces for single and combined events with equally likely, mutually exclusive outcomes and use these to calculate theoretical probabilities. 			
KS 3 Y7,8,9	Statistics	Describe, interpret and compare observed distributions of a single variable through: appropriate graphical representation involving discrete, continuous and grouped data; and appropriate measures of central tendency (mean, mode, median) and spread (range, consideration of outliers). 			
KS 3 Y7,8,9	Statistics	Construct and interpret appropriate tables, charts, and diagrams, including frequency tables, bar charts, pie charts, and pictograms for categorical data, and vertical line (or bar) charts for ungrouped and grouped numerical data. 			
KS 3 Y7,8,9	Statistics	Describe simple mathematical relationships between two variables (bivariate data) in observational and experimental contexts and illustrate using scatter graphs.