# Partitioning and Place Value

Interactive maths games and and worksheets to support the teaching of partitioning and place value objectives.

 Estimating Numbers on a Number Line Estimate the number the arrow is pointing to, then calculate the correct answer when you are told your error. A great game to help develop an understanding of place value, reading scales and to practise mental addition and subtraction. There are lots of levels to play; inc. 0 to 10, 0 to 100, 0 to 1000, and levels involving negative numbers and decimals. Placing Numbers on a Number Line This is a new version and is also available as an ipad app. You can play the old version here. Drag the flag to the correct position on a number line. Lots of choice over level, including whole numbers, negative number and decimals. Can be used to teach place value, approximation skills, and reading varying scales. Choose one type of number line or for more of a challenge you can select several. Work quickly to get more time, build your score and climb up the leaderboard. For more resources involving partitioning and place value click here. Roman Numerals - Crystal Crash Match the Roman numerals with the correct numbers. This game, together with all the other crystal crash games, is available as a single iPad or Android app. Roman Numerals - Mine Mayhem This game, together with all the other Mine Mayhem games, is available as a single iOS or Android app. Rounding - Crystal Crash Throw your pickaxe at the correct crystal. This game has the following levels (taken from the new maths curricululum): 1. Round numbers up to 100 to the nearest 10 (Y2) 2. Round numbers up to 1000 to the nearest 10 (Y3) 3. Round numbers up to 10,000 to the nearest 10, 100 or 1000 (Y4) 4. Round decimals with one decimal place to the nearest whole number (Y4) 5. Round decimals with two decimal places to the nearest whole number and to one decimal place (Y5) 6.Round decimals with up to three decimal places to the nearest whole, one decimal place or two decimal places (Y6) This game, together with all the other crystal crash games,  is available as a single iPad or Android app. Compare Numbers on a Number Line Compare the numbers on two different number lines and decide which is bigger. A great game to get children thinking about place value and reading varying scales. Roman Numerals Dominoes Match the Roman Numerals with the correct number. Place Value Digit Drag Great as a mental starter when you are teaching place value. Encourages lots of higher order mathematical thinking. Can be extended by asking children to express the general rules that will help them to answer each question. Drag the digits to make: the biggest possible number, or the 2nd smallest number, or the biggest odd number, or a number which is closest in value to another given number. Click here for the decimal version of the game. Balancing Scales g and kg Add weights to either pan until they are balanced. Can be used to teach addition, subtraction, partitioning, and mass, as well as developing an understanding of the equals sign. Choose from grams, whole kilograms or kilograms with either 1 or 2 decimal places. For more addition and subtraction resources click here. For more partitioning resources click here. Partitioning (3) Find 5 ways to partition the same number. Choice of whole numbers and decimals.  For more resources involving partitioning and place value click here. Partitioning (2) Partition numbers in different ways. Choice of whole numbers and decimals.  For more resources involving partitioning and place value click here. Partitioning (1) Partition numbers into their simplest forms. Choice of whole numbers and decimals. For more resources involving partitioning and place value click here. Different ways to pay Find different ways to make the same amount of money. Drag the coins into the till to make a given amount. Includes a choice of international currencies. For more money resources click here. Recombining Numbers Recombine numbers which have been partitioned. Choice of whole numbers and decimals.  For more resources involving partitioning and place value click here. Rounding Answers Use the calculator to answer a question and then round your answer to the nearest 10, 100, whole number or to 1, 2 or 3 decimal places. The correct answer is then shown on a number line. Play against the clock to see how many points you can score. Rounding Round 3-digit or 4-digit numbers to the nearest 10 or 100. Round decimals to the nearest whole number, or to 1 decimal place. Rounding - tablet version Round 3-digit or 4-digit numbers to the nearest 10 or 100. Round decimals to the nearest whole number, or to 1 decimal place. HTML5 version (will work on tablets). Place Value Recognise the value of an underlined digit . Choice of whole numbers and decimals.  For more resources involving partitioning and place value click here. 100 Square An incredibly versatile teaching tool. You can change the start number and change the step size, then try and find the hidden number. Choose from several difficulty levels. Ask the children to discuss  the different methods they could use to find the missing number. Can be used to explore sequences (including negative numbers and decimals),  multiplication tables, as well as reasoning about numbers. For more addition and subtraction resources click here. Grid Method Multiplication Multiply partitioned numbers using the grid method. Lots of choice of levels, inculding decimals and money.  For more multiplication and division resources click here. This game is now part of the 'Calculations' collection, which includes the following 17 games and resources: Column Addition, Expanded Addition, Expanded Addition - Place Value Counters, Number Bonds(2), Addition - Digit Drag, Missing Symbols, Column Subtraction, Column Subtraction using Place Value Counters, Counting on to find difference on a beadstring, Multiplication Grid Method, Multiplication Written Method, Ratio and Scaling Numbers, Representing Multiplication, Division by Chunking Up, Division by Chunking Down, Formal Written Division - Round Up or Down?, Short Division Writen Formal Method. The Calculations app is available on Google Play and the App Store. Expanded Addition Add the partitioned numbers beginning with the largest. Choice of 2-digit, 3-digit or 4-digit numbers. An important conceptual step before a more formal method of column addition. For more addition and subtraction resources click here. This game is now part of the 'Calculations' collection, which includes the following 17 games and resources: Column Addition, Expanded Addition, Expanded Addition - Place Value Counters, Number Bonds(2), Addition - Digit Drag, Missing Symbols, Column Subtraction, Column Subtraction using Place Value Counters, Counting on to find difference on a beadstring, Multiplication Grid Method, Multiplication Written Method, Ratio and Scaling Numbers, Representing Multiplication, Division by Chunking Up, Division by Chunking Down, Formal Written Division - Round Up or Down?, Short Division Writen Formal Method. The Calculations app is available on Google Play and the App Store. ITP Moving Digits View full screen in your browser.  This ITP allows you to demonstrate the effect of multiplying and dividing by 10 and 100. By dragging cards from the set of digit cards, different decimal numbers can be displayed. These decimal numbers can be placed in either of the two middle rows. The cards in the first row move when the multiply or divide buttons are selected. The cards will not move if the result is greater than 99 999 or less than 0.01. The cards in the second row do not move in order to highlight the shift in the digits when multiplying or dividing. The ITP can be used to explore, and to encourage children to predict the effect of multiplying and dividing by 10 and 100. The ITP can also be used to demonstrate the effect of repeated multiplication and division by 10. This resource is freely available to download from the archived Primary Framework site. For more multiplication and division resources click here. ITP Place Value View full screen in your browser.  This ITP displays on-screen place value cards to construct and partition three-digit whole numbers. Once the cards are created they can be deleted clicking on the cross in the top left hand corner. By clicking on the number, a card can be dragged around the screen and repositioned. You can have one or two sets of cards on the screen at a time. The value of each place value card is determined using the respective button at the bottom of the screen. Each number on a card can be represented by groups of counters, clicking on the pointer on the card to reveal and hide the counters. The ITP can be used to demonstrate the construction and partitioning of numbers to secure children’s understanding of place value. Displaying two sets of cards you can compare their values and pose questions about their sum and difference. Partitioning the numbers and rearranging them can be use to help children understand how pencil and paper methods of calculation are recorded. This resource is freely available to download from the archived Primary Framework site. For more resources involving partitioning and place value click here. ITP_Beadsticks View full screen in your browser.  Partition numbers using beadsticks. This resource is freely available to download from the archived Primary Framework site. For more resources involving partitioning and place value click here. ITP Number Grid View full screen in your browser.  This ITP generates a 100 square. Choose a colour or the grey mask. You can then click on individual cells to hide or highlight them in different colours, and by clicking on the box at the left-hand foot of the grid and using the pointers you can hide or highlight rows and columns. The prime numbers and multiples can also be highlighted. You can change the number of columns from 3 up to 13, the starting number, and its position – either top left corner or bottom left corner of the grid. Choose the mask option to create a temple that can be moved around the grid to hide or highlight particular groups of cells. The template can be rotated using the single arrow button. The ITP can be used to explore different multiples, number sequences and patterns on grids of different sizes. The superimposed masked template can provide practice at adding groups of numbers and enable children to hypotheses about the sums and difference of the numbers. The ITP can develop children’s ability to predict and generalise. Changing the number of columns provides a new grid to test general statements about the relationships between numbers and to look for counter examples. This resource is freely available to download from the archived Primary Framework site.