Woodcote Primary School Climbing the Ladders of Learning: Maths Milestone 1.1

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1 Climbing the Ladders of Learning: Maths Milestone 1.1 Number s I can join in with counting beyond 10 I can take away one from a number of objects I can talk about, recognise & copy simple repeating patterns & sequences the objects I have sorted to solve words to describe the size and shape of solid and flat shapes I can continue to count on from a given number numerals from 1 to 9 and relate them to a set of objects 1 st, 2 nd, 3 rd when describing the position of objects I can estimate a small number up to 10 & check by counting I can add one to a number of objects my understanding of counting up to ten to solve simple when playing or working I know when an object is different & does not belong to a group I can copy simple patterns and sequences I can sort objects into the groups I am told I can describe shapes in pictures and patterns I can make simple estimates, for example length using cubes different objects size, length etc. I show awareness of time days of week & times of day

2 Climbing the Ladders of Learning: Maths Milestone 1.2 Fractions the words; altogether, add, plus, subtract, minus and take-away I can add and subtract numbers below 10 using objects I can count reliably at least 10 objects I can read and write numbers to 10 when a set of objects has been halved I understand what a ½ is I can tell the teacher my answer objects to show the answer to a question onestep that involve addition and subtraction using objects or pictures I can talk about which set has the most/least in it I can sort objects using one criteria I can name familiar 2D and 3D shapes; circle, triangle, rectangle and square, cube, pyramid, sphere I can measure and order objects using direct comparisons; e.g., smallest, biggest I can order patterns and say what comes next I can say one more or less than a number I can tell the difference between left, right, and make half turns and quarter turns

3 Climbing the Ladders of Learning: Maths Milestone 1.3 Fractions I can subtract by counting back from the biggest number I can add by counting on from the biggest number I can find ½ of a paper shape by folding it when a shape has been halved I can answer questions about the Maths I have done 1- step involving multiplication and division using objects or pictures I can create a pictogram and understand one picture represents one unit I can discuss the criteria I have used when sorting I can name most common 2D & 3D shapes and respond to positional language; e.g. behind, underneath I can say what is one more/ one less of any number to 20 I can count on and back in ones within 20 my Maths in different activities simple addition and subtraction missing number I can sort objects in different ways using one criteria I can read o clock and half past I can order the days of the week and months of the year I can count in multiples of 2 I can sequence events in chronological order

4 Climbing the Ladders of Learning: Maths Milestone 2.1 Fractions the tens and ones in a 2-digit number I can write an equation using +, - and = I know my number bonds to 10 counting on to add 2 numbers I can count to and across 100, forwards and backwards I can find simple fractions for example ½ of 6 = 3 I can work out halves of even numbers to 10 With support I can find ¼ of a paper shape by halving and halving again I can find ½ of a regular shape I can describe the Maths I have done and say what I have learnt I can apply the Maths I know in new learning simple one-step that involve + and -, using objects and pictures place value and number facts to solve pictures to create a simple block diagram I can respond to questions about how I have sorted objects and what I have found out I can sort objects in different ways using one criteria on a Venn or Carroll diagram and know the value of different coins and notes I can tell the time to the hour and half past the hour and draw the hands on a clock face to show these times I can measure and record lengths to the nearest cm and order length and mass, and record using >, < and =

5 Climbing the Ladders of Learning: Maths Milestone 2.2 Fractions I can add and subtract 2-digit numbers to solve a I can split a 2- digit number into tens and ones operation symbols and the correct order to show how I have solved a and order numbers up to 100 using <, > and =, find and write fractions 1/3, ¼, 2/4 and ¾ of a number I can recall halves of even numbers to 10 ¼ of a shape ½ of a shape With support, I can identify the operation I need to use to solve an addition or subtraction equation I can record my thinking using diagrams that adding and subtracting are opposite and use this to solve missing number I can collect information using a tally I can sort objects using two different criteria With support, I can represent information using a bar graph With support, I can respond to simple questions about the information I have collected I know the number of minutes in an hour and the number of hours in a day I can sort shapes using the number of sides, faces, edges or vertices I can tell the time using hours, halfhours and quarter-hours and use & p

6 Climbing the Ladders of Learning: Maths Milestone 2.3 Fractions I can show that multiplication can be done in any order regrouping when adding and subtracting 2-digit numbers I use repeated addition to solve multiplication I can find 10 more or 10 less than a given number I can count in steps of 2, 3, 4, 5 and 10, forward and backwards I can work out halves of even numbers up to 20 the numerator and denominator that ½ and 2/4 are equal I can share my ideas with an adult when solving a equations to record how I have solved a addition and subtraction with money, including giving change I can read and make simple pictograms, tally charts, block diagrams and simple tables With support, I can collect information to answer a question I can show data in lists and tables I can answer simple questions about the data I have collected I can describe shapes using lines of symmetry I can tell and write time to 5 minutes I can find different combinations of coins that equal the same amount I can describe position, direction and movement using clockwise & anti-clockwise, and right angles for quarter, half and three-quarter turns

7 Climbing the Ladders of Learning: Maths Milestone 3.1 Fractions the adjustment method when adding and subtracting 9 and 11 I can accurately use regrouping when adding and subtracting 2-digit numbers I can accurately use repeated addition to solve multiplication I can count in multiples of 4, 50 and 100 from a given number I can read and write numbers to 1000 in numerals and words I can recall half of all even numbers to 20 I understand what numerator and denominator mean I can share my ideas with a partner when solving a a modelled method to help me solve a for multiplication and division within 10 x 10 including missing number using what I know I can collect information to answer a question I can show data in bar charts, pictograms and tables I can answer questions about the data I have collected I can describe shapes using language such as edge, face and vertices and sequence intervals of time using seconds, minutes and hours I can measure, compare, add and subtract lengths I can tell and write the time in 12 hour and 24 hour including using Roman Numerals I to XII

8 Climbing the Ladders of Learning: Maths Milestone 3.2 Fractions I can add and subtract 3-digit numbers using column methods I can add and subtract fractions with the same denominator within one whole I can find my own starting point when solving a I can collect data to test an idea reflective symmetry in 2D shapes repeated subtraction to solve division, including those with remainders I know that subtraction is the inverse of addition I can round any number to the nearest 10, 100 or 1000 I can find a quarter of a number by halving and halving again I know that fractions relate to division I can count up and down in tenths the size of simple fractions I can independently use a modelled method to help me solve a I can explain my thinking including missing number involving multiplication and division I can choose an appropriate scale for my data in a bar graph I can include the correct features of graphs or tables when recording data I can ask my partner questions about what they have found out right angles in shapes I can measure the perimeter of simple 2D shapes words such as o clock, a.m./p/m/, morning, afternoon, noon and midnight

9 Climbing the Ladders of Learning: Maths Milestone 3.3 Fractions my knowledge of place value to help me work out a I can add fractions together to make one whole I can find key information from a to help me solve it I can collect the correct data to answer a specific question shapes in different orientations I can choose the correct operation to solve a column methods efficiently to add and subtract 3-digit numbers I know that division is the inverse of multiplication I can find ½, 1/3, ¼ of shapes and numbers I can halve number up to 100 using a method I ve learnt I can place simple fractions between whole numbers a systematic approach when solving I can describe how I have worked out a I can choose how to record my working out I can choose how to record my data I can answer questions about my findings e.g. how many children took part altogether? right, acute and obtuse angles I can read a partially marked scale I know the number of second in a minute, the number of days in each month, year and leap year

10 Climbing the Ladders of Learning: Maths Milestone 4.1 Fractions and Decimals I can multiply 2-digit and 3- digit numbers by a 1-digit number column methods to add and subtract 4- digit numbers including decimals such as money I can count in multiples of 6, 7, 9, 25 and 1000 I can read Roman numerals to 100 (I to C) I can find more than one fraction of shapes and numbers fractions that are equivalent to ½ the size of simple fractions some common patterns in my Maths work After solving a, I can pose a similar for a partner I can explain my thinking using mathematical vocabulary I can record my work in an organised way I can explain why I have chosen to represent my data in a specific way I can make appropriate choices for recording data I can extract and interpret information presented in tables, lists and graphs reflective symmetry to continue a pattern where angles are greater than or less than a right angle I can calculate time intervals I can convert different units of measure i.e and p I can recall multiplication and division facts up to 12 x 12 addition and subtraction twostep, deciding which operations and methods to use and why I can find the area and perimeter of rectangles

11 Climbing the Ladders of Learning: Maths Milestone 4.2 Fractions & Decimals quick mental recall of the 2, 3, 4, 5 and 10 times tables my knowledge of place value to multiply and divide numbers by 10 and 100 the grid method to multiply a 2- digit number balancing involving two different operations and use factor pairs in mental calculations and write decimal equivalents to ¼, 1/2, 3/4 and write decimal equivalents for tenths and hundredths I can confidently use decimal notation to write money I can find equivalent fractions to ½, 1/3, ¼ and 1/5 I can check my work and make appropriate corrections and interpret mathematical vocabulary, symbols and diagrams when solving a I can discuss thinking referring to examples from my work my own way to record my work I can find the range, mode and median in a graph I can interpret and present discrete and continuous data in graphs, including bar charts and time graphs data from different graphs a given by organising, extracting and interpreting information presented in tables and lists I can classify 2D and 3D shapes according to their properties, e.g. number of lines of symmetry right, acute and obtuse angles in triangles I can convert between analogue and digital 12- and 24-hour clocks I can confidently convert between units of measure

12 Climbing the Ladders of Learning: Maths Milestone 4.3 Fractions & Decimals quick mental recall of the 8, 9 and 10 times tables I understand mixed fractions I can explain a using my own words I can interpret graphs with partially marked scale acute and obtuse angles, and compare and order angles I can multiply and divide numbers by 10 and 100 including decimals to one decimal place the column method to add and subtract numbers up to 3 digits, with borrowing and exchanging numbers with the same number of decimal places up to 2 dp I can round decimals with 1dp to the nearest whole number my own methods when solving a simple measure and money involving fractions and decimals I can estimate, compare and calculate different measures including & p I can respond to a range of questions such as How many children took part in this survey altogether? and classify shapes, including quadrilaterals and triangles I can interpret a timetable I can describe movements between positions as simple translations I can describe positions on a 2D grid as coordinates

13 Climbing the Ladders of Learning: Maths Milestone 5.1 Fractions & Decimals I can multiply numbers up to 4-digits by a 2- digit number negative numbers in context I can divide numbers up to 4-digits by a 1- digit number using a formal written method I can round any number to the nearest 10, 100, 1000, , I can read and write decimal numbers as fractions e.g = 71/100 I recognise mixed numbers and improper fractions and can convert from one form to the other and order fractions whose denominators are multiples of the same number examples from my work to make statements involving converting between units of time I can add and subtract numbers mentally with increasingly large numbers addition and subtraction multi-step, deciding which operations and methods to use and why I can find the mean average of a set of data I can respond accurately to a range of questions I can understand and use approximate equivalences between metric and common imperial units I can convert different units of metric measures I can measure and calculate the perimeter of compound rectangular shapes equilateral, isosceles, scalene and right-angled triangles

14 Climbing the Ladders of Learning: Maths Milestone 5.2 Fractions and Decimals I can know and use the vocabulary of prime numbers, prime factors and composite numbers and use square numbers and cube numbers multiples and factors, including finding factor pairs and common factors calculations involving negative numbers I can multiply proper fractions and mixed numbers by whole numbers, supported by pictures I can add and subtract fractions with denominators that are multiples of the same number I can order decimals up to two places including scaling by simple fractions and simple rates which involve a range of operations involving using my knowledge of factors, multiples, squares and cubes I can organise my work and record results in order I can check my answers and ensure they make sense in the context of the I can complete, read and interpret information in tables/timetables comparison, sum and difference using different information presented on a line graph I can create a partially marked scale for a graph I can answer questions about the total amount of data represented I can estimate volume and capacity I can calculate and compare the area of rectangles, and estimate the area of irregular shapes I can construct nets of familiar 3D shapes I can rotate a 2D shape about its centre or a vertex I can calculate time intervals from a timetable including 24 hour times

15 Climbing the Ladders of Learning: Maths Milestone 5.3 Fractions, Decimals & Percentages I can multiply and divide numbers involving decimals I can add and subtract decimals up to one decimal place my knowledge of multiplication and place value to multiply multiples of 10 my knowledge of inverse to solve calculations with missing numbers I can round numbers with 2dp to the nearest whole number and 1dp I can read, write, order and compare numbers up to 3dp I understand percentages (%) as a number of parts in every hundred I can explain my own methods and approaches generalisations which require knowing percentage, decimal and fraction equivalents involving numbers up to 3dp involving measures using decimal notation I can interpret line graphs I can predict how a set of data would change if collected in a different context I know the difference between regular and irregular polygons the properties of rectangles to deduce related facts and find missing information 3D shapes from 2D representations I can estimate and compare acute, obtuse and reflex angles I can draw angles to the nearest 5 degrees

16 Climbing the Ladders of Learning: Maths Milestone 6.1 Fractions, Decimals & Percentages long division long multiplication I generate and describe linear number sequences I can round any whole number to a required degree of accuracy I understand the use of brackets in simple calculations I can generate number sequences including fractions and order fractions >1 common factors to simplify fractions equivalents between fractions, decimals and percentages I can understand simple ratio I can explain and justify my own methods and approaches generalisations and explain it in words I can interpret a which requires knowledge from different areas of Mathematics I can construct graphs to represent data using intervals data in line graphs I can draw and translate shapes on the coordinate plane I can draw 2D shapes using given dimensions and angles I can describe position in all four quadrants, describe and represent the position of a shape following a reflection or translation I can draw angles to the nearest degree

17 Climbing the Ladders of Learning: Maths Milestone 6.2 Fractions, Decimals & Percentages I can express missing number algebraically I can perform mental calculations, including with mixed operations and large numbers common factors, common multiples and prime numbers rounding and estimation to check if my answers are sensible I can divide proper fractions by whole numbers I can multiply simple pairs of proper fractions, writing the answer in its simplest form I can add and subtract fractions with different denominators and mixed numbers I can convert simple mixed numbers to improper fractions involving ratio involving the calculation and conversion of units of measure, using decimal notation up to 3dp involving proportion I can apply my knowledge of different areas of Mathematics to solve an investigation I can break a multi-step investigation into simpler steps I can interpret a simple pie charts I can draw conclusions from a range of graphs, identifying further questions to ask angles where they meet at a point, on a straight line, are vertically opposite and find missing angles I can illustrate and name parts of circles including radius, diameter and circumference, describe and build simple 3D shapes I can understand and use the formula for the area of a rectangle

18 Climbing the Ladders of Learning: Maths Milestone 6.3 Fractions, Decimals & Percentages I can find pairs that satisfy an equation with two unknowns written methods to multiply and divide decimal numbers I can understand the meaning of formulae such as n-2 means two less than a given number rounding and estimation to check my answers I can calculate decimal fraction equivalents I can calculate percentages of numbers I can apply my knowledge of different areas of Mathematics to solve an investigation I can break a multi-step investigation into simpler steps I can construct a simple pie chart I can interpret the scale on line graphs, reading between the labelled divisions I recognise when it is possible to use formulae for area and volume of shapes I recognise that shapes of the same area can have different perimeters and vice versa, read, write and convert between standard units from a smaller unit of measure to a larger unit of measure using decimal notation I can complete symmetrical patterns with two lines of symmetry at each right angle

19 Climbing the Ladders of Learning: Maths Milestone 7.1 Fractions, Decimals and Percentages I can multiply and divide whole numbers & decimals by 10, 100 & 1000 and explain the effect all four operations with decimals to 2 places brackets appropriately equivalence between fractions, decimals and percentages I can order fractions and decimals I can calculate fractional or percentage parts of quantities & measurements percentages for comparison information that is important to solving the, determine what is missing & develop lines of enquiry I can check while working, spotting & correcting errors & reviewing methods I can organise my own work from the outset, looking for ways to record systematically I can explain & justify my own methods & solutions I can ask questions, plan how to answer them & collect the data required I can understand and use discrete data I can calculate the area of parallelograms and triangles I can calculate, estimate and compare volume of cuboids involving the conversion of units I can make sensible estimates of a range of measures in relation to everyday situations

20 Climbing the Ladders of Learning: Maths Milestone 7.2 Fractions, Decimals and Percentages I can order negative numbers in context an appropriate method for solving that involve multiplying and dividing any 3-digit by any 2-digit number I can check solutions by applying inverse operations or estimating using approximations I can order fractions with different denominators I can order decimals that have a mixture or 1, 2 or 3 decimal places word & investigations from a range of contexts I can decide how best to represent conclusions, using appropriate recording more complex patterns, making generalisations in words & begin to express generalisations using symbolic notation I can create & interpret line graphs where the intermediate values have meaning two simple distributions, using the range & one of mode, median or mean all the symmetries of 2D shapes I can efficiently use and interpret co-ordinates in all four quadrants I know metric equivalents of imperial units still in daily use I can convert one metric unit to another

21 Climbing the Ladders of Learning: Maths Milestone 7.3 Fractions, Decimals and Percentages & use number patterns & relationships I can construct, express in symbolic form, & use simple formulae involving one or two operations known facts, place value & knowledge of operations to calculate I can add and subtract negative numbers in context I can reduce a fraction to its simplest form by cancelling common factors I understand and can solve simple using ratio and direct proportion I can consider efficient methods, relating to previous experiences I can understand and use formulae & symbols to represent examples & counterexamples to justify conclusions I can interpret graphs & diagrams, and draw conclusions I can interpret pie charts & draw conclusions I can transform shapes I can measure & draw angles to the nearest degree I can read & interpret scales on a range of measuring instruments

22 Climbing the Ladders of Learning: Maths Milestone 7.4 Fractions, Decimals and Percentages Use concepts and vocabulary of HCF and LCM Use prime factor decomposition of positive integers Understand and use negative numbers as translations on a number line Find and describe in the nth term Formulate and solve linear equations with whole number coefficients Order and approximate decimals Round large numbers to a given power of 10 and to one significant figure Estimate using known facts Divide a quantity into two or more parts in a given ratio Solve that involve percentage increase or decrease Calculate using ratio in appropriate situations Evaluate one number as a fraction or percentage of another Understand and use the equivalences between fractions, decimals and percentage Calculate fractions of quantities with fractional answers Add and subtract fractions by writing with common denominator Pupils writing explains and informs their use of diagrams Carry through substantial tasks Begin to give mathematical justifications Interpret, discuss and synthesise information presented in a variety of mathematical forms Solve quite complex by independently breaking them down in to smaller, more manageable tasks Use trial and improvement methods Have a basic understanding of correlation Communicate the outcomes of a statistical survey Use knowledge that the total probability of all the mutually outcomes of an experiment is 1 Draw conclusions from scatter graphs Construct frequency diagrams and pie charts using ICT and on paper Solve using angle properties of intersecting and parallel lines Understand properties of translations, reflections and rotations Use a compass to carry out constructions Solve using angle and symmetry properties Enlarge 2D shapes by a positive whole number Calculate lengths, areas and volumes Understand & use appropriate formulae for finding circumferences & areas of circles and volumes of cuboids