MATHEMATICS- Number Expected Y1 Expected Y2 Expected Y3 Expected Y4 Expected Y5 Expected Y6

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1 MATHEMATICS- Number Expected Y1 Expected Y2 Expected Y3 Expected Y4 Expected Y5 Expected Y6 Count to and across 100 forwards and backwards from any number Recognise odd and even numbers to 100, and to be able to explain why a number is odd or even. Count in multiples of 2, 5 and 10 to 100 Say 1 more or 1 less than any number up to 100 Identify and represent numbers using objects and pictures Compare and order numbers Identify and represent numbers using different representations including the number line. Count in steps of 2, 5 and 10 from any number forward and backwards Count in multiples of 3 to 30. Say 10 more or 10 less than any number up to 100 Recognise the value of any digit in a 2 digit number Compare and order numbers Count in multiples of 3, 4, 8, 50 and 100 Say 100 more or 100 less than any number Recognise the value of any digit in a 3 digit number Compare and order numbers beyond 1000 Count in multiples of 6, 7, 9, 25 and 1000 Say 1000 more or 1000 less than any number Recognise the value of any digit in a 4 digit number Compare and order numbers to at least Count forwards or backwards in steps of 10 up to Recognise the value of any digit to at least Compare and order numbers to at least Mathematical language equal, more, less, fewer, most, least Use < > and = confidently Read and write numbers 0-20 in numerals and words Count read and write numbers to 100 Read and write numbers in numerals and words Read and write numbers in numerals and words Read and write numbers in numerals and words Use place value and number facts to solve problems Solve practical problems applying place value knowledge Count back through to negative numbers Round any number to nearest 10, 100 and 1000 Read Roman numerals to 100 and understand how they have changed through time Interpret negative numbers and count forwards and backwards through zero Round any number to nearest 10, 100, 1000, and Read Roman numerals to 1000 and recognise years in Roman Numerals Use negative numbers in context, solve problems and calculate intervals across zero Round any whole number to a required degree of accuracy and to check levels of accuracy. Round any decimal number to a specified degree of accuracy. Solve number and practical problems that involve all of the above

2 MATHEMATICS- Addition and Subtraction Expected Y1 Expected Y2 Expected Y3 Expected Y4 Expected Y5 Expected Y6 Read, write and interpret + - and = Use inverse strategies applying + - and = Check answers using inverse strategies for + and -. Check answers using inverse strategies Apply inverse strategies with confidence Add and subtract 1d and 2d numbers up to 20 Solve one step problems using objects and pictorial representations. Recall and use bonds to 10, 20 confidently applying this to bonds to 100 Solve two step addition and subtraction problems using the column method and mental methods. Apply the column method using carrying and borrowing to complex problems Apply the column method using carrying and borrowing to complex problems involving 4 digits Solve two step problems Add and subtract mentally with increasingly large numbers. Apply the column method using carrying and borrowing to numbers over 4 digits Solve addition and subtraction multi step problems deciding which operation to use and why Solve addition and subtraction multi step problems in context deciding which operation to use and why (to include puzzles not set in a context). Add 3 one digit numbers Double any number to 20 Add and subtract 2d and 1d, 2d and 2d, 2d and multiple of 10 and 3 1d numbers Add and subtract 3d and 1d, 3d and multiple of tens, 3d and multiple of 100 Number bonds to 20 Addition can be in any order, subtraction can not be reversed. Estimate answers to addition and subtraction problems Use knowledge of the order of operations to carry out calculations involving all 4 operations

3 MATHEMATICS- Multiplication and Division Expected Y1 Expected Y2 Expected Y3 Expected Y4 Expected Y5 Expected Y6 Expected Y7 Multiply by 2, 5 or 10 using objects and pictures Times and divide by 2, 5 and 10. Apply X and to word problems Multiplication can be in any order Understand multiplication as repeated addition. Solve multiplication problems using objects and mentally To understand that multiplication and division by 2 is connected to doubling and halving, and to use these to reason about problems and calculations. Know multiplication and division facts for 3, 4 and 8 Write X and to as clear statements Begin to use formal written methods Solve multiplication problems, including missing number problems Recall multiplication and division facts up to 12 X 12 Begin to multiply a 3d number by a 2d using formal methods Use multiples and factors including factor pairs and common factors Solve multiplication and division problems using factors Know and use vocabulary of prime numbers Recall prime numbers up to 19. Multiply a 4 digit number by a 1 or 2 digit number using long multiplication Divide a 4 digit number by a 1 digit number using short division methods using remainders Identify common factors and common multiples Identify the prime numbers Multiply 4 digit numbers by 2 digit numbers using long multiplication Divide up to 4 digit numbers by 2 digit numbers using long division interpreting remainders as whole numbers and fractions Use written division methods in cases where the answer has up to 2 decimal places. Multiply two negative numbers together Multiply a decimal by a decimal Apply division knowledge to decimal numbers Solve problems using distributive law e.g. 39 X 7 = 30 X X 7 Solve multi step multiplication and division word problems Divide a whole number by 10, 100 or 1000 to make a decimal. Use long division with 2 digit divisors. Multiply and divide whole numbers and decimals with up to 3 decimal places by whole numbers. Recognise squared (²) up to 144; cubed (³) and square root ( ) signs Interpret remainders according to the context.

4 Expected Y1 Recognise, find and name ½ and ¼ of a shape or quantity MATHEMATICS- Fractions Expected Y2 Expected Y3 Expected Y4 Expected Y5 Expected Y6 Expected Y7 Recognise, find and name ½ ¼ 1/3 2/4 and ¾ of a shape or quantity Recognise, find and write fractions of sets of objects Show fractions using shapes Calculate simple fractions and percentages of whole numbers and quantities. Write simple fraction sentences e.g. ½ of 6 = 3 Compare and order fractions with the same denominator Recognise equivalence e.g. 2/4 = ½ I practical contexts and when counting in fractions. Recognise and show equivalent fractions Know pairs of fractions which make 1 whole Identify, name and write equivalent fractions Associate fraction with division and begin to calculate decimal fraction equivalents. Recall and use equivalences between simple fractions, decimals and percentages, including different contexts. Count up and downs in tenths Count up and downs in hundredths Express simple problems using fractions notation and solve them. Recognise % and understand that per cent relates to number of parts per 100. Add and subtract fractions with the same denominator Solve fractional problems Solve fractional problems involving complex fractions and decimals to 2dp Divide 1 digit or 2 digit numbers by 10 or 100 Recognise and write decimal equivalents of any number with 10ths and 100ths Recognise and write decimal equivalents of any number with ¼ ½ and ¾ Round decimals with 1 decimal place to the nearest whole number Add and subtract fractions with the same denominator or a denominator of a multiple of the same number Solve problems involving decimal and percentage equivalents of ½ ¼ 1/5 2/5 4/5 Multiply proper fractions and mixed numbers by a whole number Recognise % and write percentages as a fraction with the denominator as 100 Compare and order fractions when denominators are multiples of the same number Read and write decimals as fractions Round decimals with 2 decimal places to nearest whole number and to 1 decimal place Read, write, order and compare numbers with up to 3 decimal places Convert, add and subtract fractions with different denominators and mixed numbers using the concept of equivalent fractions Use common multiples to express fractions in the same denomination. Multiply simple pairs of proper fractions writing the answer in its simplest form Divide proper fractions by whole numbers and use written division methods when the answer has up to 2 decimal places Use common factors to simplify fractions Compare and order fractions including fractions >1 Multiply 1 digit numbers with up to 2 decimal places by whole numbers Use the equivalence of fractions to compare proportions

5 MATHEMATICS- Measurement Expected Y1 Expected Y2 Expected Y3 Expected Y4 Expected Y5 Expected Y6 Compare, describe and solve problems for length, height, mass, weight, capacity, volume and time Measure and record non standards measures for length, height, mass, weight, capacity, volume and time (hours and minutes) Compare and order length, height, mass, weight, capacity, volume and time and record results using <, > =. Choose and use appropriate standard units to estimate and measure length, height, mass, weight, capacity, temperature, volume and time. Recognise and use and p Use different combinations to make set amounts Measure, compare, add and subtract length, height, mass, weight, capacity, volume and time and record results Convert units of measurements e.g. km to m or hours to minutes Convert between different units of metric measurements Understand and use the difference between metric and imperial units Use, read, write and convert between standard units (including miles and kilometres), using decimal notation up to 3 decimal places Recognise and know the value of coins and notes. Solve practical word problems including giving change Add and subtract money confidently to give change Tell the time to hour, half past and draw these times. Find different combinations of coins that equal the same amounts of money. Tell, write and draw the time to the nearest 5 minutes Draw the hands on a clock to show the time on the hour and at half past. Solve practical word problems including time. Tell all analogue times including Roman Numerals (to 1000, M). Read, write and convert analogue and digital time (both 12hr and 24hr, am/pm) Solve problems converting between units of time, including problems involving the duration of events. Recognise and use days, weeks and months. Compare and sequence intervals of time Compare durations of events Solve problems involving conversions e.g. years to months Reason about simple multiplicative relationships such as twice as long and ten times as high. Measure perimeter of simple 2D shapes Know seconds in a minute, days in a month, year and leap year Measure and calculate the perimeter of any shape Estimate the area of irregular shapes by counting squares (including half squares and fractions of squares). Measure and calculate the area of any rectilinear shape counting squares Measure and calculate the area of any composite rectilinear shape using standard measurement and estimate the area of irregular shapes Calculate and compare the area of squares and other rectangles including using standard units, squared centimetres, and square metres. Solve problems using all four operations involving measures including scaling Calculate, estimate and compare volume of cubes and cuboids using standard units Recognise that shapes with the same area can have different perimeters Recognise when it is possible to use formulae to find area and volume Calculate the area of parallelograms and triangles Use, read write and solve problems involving the calculation and conversion of standard units of measure

6 MATHEMATICS- Geometry Expected Y1 Expected Y2 Expected Y3 Expected Y4 Expected Y5 Expected Y6 Expected Y7 Recognise and name 2D shapes rectangles (including squares), circles, triangles Identify and describe properties of 2D shapes Draw 2D shapes Identify 3D shapes from 2D representation Draw 2D shapes using given dimensions and angles, with increasing accuracy. Recognise, describe and build 3D shapes including making nets Recognise and name 3D shapes cuboids (including cubes), pyramids and spheres Identify and describe properties of 3D shapes Identify 2D shapes on the face of 3D shapes Compare and sort common 2D and 3D shapes including everyday objects based on their properties (vertices, sides, edges and faces) Make 3D shapes in different orientations Recognise that angles can be properties of a shape Identify right angles. Recognise 2 right angles are ½ turn and 3 right angles are ¾ turn Identify greater/smaller then a right angle Compare and classify shapes based on properties Compare and order angles up to a straight line Identify acute and obtuse angle Use properties of rectangles to deduce facts e.g. missing lengths and angles Identify 360º as a full turn and 180º as a straight line. Know other multiples of 90º Know angles are measured in degrees and draw given angles and measure them in degrees Compare and classify geometric shapes based on properties Find unknown angles in triangles, quadrilaterals and regular polygons Recognise angles where they meet at a point on a straight line, vertically opposite and find missing angles. Identify alternate, corresponding and supplementary angles involving parallel lines Identify horizontal/vertical/ perpendicular/parallel lines Identify lines of vertical symmetry in 2D shapes. Solve problems involving shapes and reasons about their properties. Identify lines of symmetry in 2D shapes in different orientations Complete a simple symmetrical figure using a specific line of symmetry Illustrate and name parts of a circle, including radius, diameter, circumference and know the diameter is twice the radius Solve problems and reasons about shapes and their properties. Find the area of a triangle, trapezium and circle (using π) Find the volume and surface area of a cube and cuboid?

7 MATHEMATICS- Position and Direction Expected Y1 Expected Y2 Expected Y3 Expected Y4 Expected Y5 Expected Y6 Expected Y7 ½ turn, ¼ turn and ¾ turn. Use mathematical vocabulary to describe position, direction and movement, including movement in a straight line; distinguish between rotation as a turn and in terms of right angles for quarter, half and three quarter turns (clockwise/anticlockwise) Order and arrange patterns Describe positions on a 2D grid as coordinates in the first quadrant Describe movements between positions e.g. left/right/up/down Plot specified points and join them to draw a polygon Identify, describe and represent the position of a shape following a reflection or translation. know that the shape has not changed Reflect shapes on graph paper given the equation of the mirror line Describe positions on the full coordinate grid (all four quadrants) Draw and translate simple shapes on the coordinate plane and reflect them in the axes (first quadrant). Use reasoning to solve problems related to coordinates, reflections and translations. Plot coordinates which satisfy a rule and describe what happens to the resulting graph Fully describe the rotation of a shape

8 MATHEMATICS- Statistics Expected Y1 Expected Y2 Expected Y3 Expected Y4 Expected Y5 Expected Y6 Expected Y7 Interpret and construct pictograms, tally charts, block diagrams and tables Ask and answer simple questions that require the sorting of categories by quantity, totalling and comparing simple categorical data. Interpret and present data pictograms, bar charts and tables Solve one and two step problems based on charts Interpret and present discrete and continuous data using appropriate graphical methods Solve comparisons, sum and difference problems using information presented in charts Complete, read and interpret information on tables including timetables Solve comparisons, sum and difference problems using information presented on a line graph MATHEMATICS- Ratio and Proportion Interpret and construct pie charts and line graphs, using them to solve problems Calculate and interpret the mean, mode, range and median (indifferent contexts). Use a scatter graph to explain the correlation between two sets of results Design, trial and refine methods of collection if necessary Design and use a grouped frequency table Use your knowledge of probability equalling 1 to solve problems Expected Y1 Expected Y2 Expected Y3 Expected Y4 Expected Y5 Expected Y6 Expected Y7 Solve problems involving the relative sizes of 2 quantities where missing values can be found using integer multiplication and division facts Solve problems involving the calculation of percentages such as 15% of 360 and the use of percentages for comparison Solve problems involving similar shapes where the scale factor is known or can be found Solve problems involving unequal sharing and grouping using knowledge of fractions and multiples Confidently solve ratio and proportion problems applying the Expected skills, including dividing quantity into 2 or more parts in a given ratio

9 MATHEMATICS- Algebra Expected Y1 Expected Y2 Expected Y3 Expected Y4 Expected Y5 Expected Y6 Express missing number problems algebraically Use simple formulae expressed in words Generate and describe linear number sequences Find pairs of numbers that satisfy number sentences involving two unknowns Enumerate all possibilities of combinations of two variables

10 Year 1 Notes Year 2 Notes

11 Year 3 Notes Year 4 Notes

12 Year 5 Notes Year 6 Notes