Mental Arithmetic Book 2: KS2 Maths, Year 4, Ages 8-9

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This one looks even harder than the others, but no matter how large the numbers involved, you can still break the calculation down in to simple chunks. The basic idea: If you need to multiply a number by 200, multiply by 2 first, then move the digits. You can do this with any quantity. For example, if you need to multiply something by 5000, multiply your number by 5 first, then move three decimal places. There are lots of different strategies we can use to help us do mental arithmetic. Here are a few examples, which we've split depending on whether you're adding or subtracting numbers mentally. Mental subtraction strategies Year 3 and Year 4 Worksheets Doubling Numbers from 10-50, Add two 2-digit Numbers of 10-50, Doubling Numbers from 50-99, Add two 2-digit Numbers of 30-99, Find the Middle Number - 2 digits, Find the Middle Number - 3 digits, Find the Middle Number - 4 digits

Mental maths is a crucial skill. We use it in our daily lives all the time, such as when we’re using money in shops. Using a resource like this mental maths test is the key to keeping this real-life skill in great shape. The mental method, alsoknown as mental arithmetic, is the process of working out maths calculations and carrying out problem-solving mentally, without the need to go through an entire physical or formal written process. Children will learn to complete mental subtraction, addition and other mental calculations, which involve using all four operations and specific techniques. These mental methods will enable students to solve different types of problems without having to memorise the answers to equations, whip out a calculator, or use a pen and paper for their workings. Integer Rounding Worksheets Circle Number Closest to 100 - Rounding, Circle Number Closest to 1000 - Rounding, Round Up and Down to Nearest 10, Integer Rounding to Nearest 10, Round Up and Down to Nearest 100, Integer Rounding to Nearest 100, Round Up and Down to Nearest 1000, Integer Rounding to Nearest 1000 As you have found out from the examples above, mental maths skills are all about breaking a problem down into numbers that are easy to deal with in your head. Sometimes we need to turn the calculation around and think of it in a different way.Without the ability to do mental arithmetic, it can be difficult to complete ordinary daily tasks such as counting money, taking measurements and even for calculating time. That's why learning to complete calculations mentallyis an all-important life skill. Mental methods Mental arithmetic is the invaluable maths skill of doing calculations in your head, without the use of any tools, such as a calculator or pen and paper, or fingers! It can come in handy in countless everyday situations, from working out the best multi-buy deal in the supermarket, to calculating how long you will need to wait for the next train.

Rote learning is often frowned upon in modern education - understandably in most subjects - however with elementary mathematics some rote learning is essential. Rounding up You can round up numbers and then subtract the added value to make it easier to solve complex maths problems. This is a handy method to use when solving addition problems when the value of the number is greater than 100. Compensation for 8 or 9 This is a useful mental method for adding where a number has 8 or 9 in units. To add 9 to any number, first, add 10 and then subtract 1. To add 8, add 10 to the number and then subtract 2 from the answer. Specifically, Year 2 pupils are expected to “recall and use multiplication and division facts for the 2, 5 and 10 multiplication tables” and “recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100”. Although, mental maths is not simply about recalling facts, but is focused on the understanding of the workings out required, and being able to apply known facts appropriately. Of all the mathematics taught in schools, it is that taught to children before the age of 11 which is most important in the rest of their lives. Most people will never use anything they learn in mathematics lessons after that age in their adult life, but good basic number skills and mental arithmetic ability will remain a powerful tool to have and use every day.Children are expected to learn partitioning of numbers to help them with addition and subtraction. This will support adding 1 digit numbers added to 2 digit numbers, for example 26 + 3. Pupils are required to fluently use addition facts and subtraction facts up to 20 and work with related facts up to 100. Addition and subtraction facts to 20 are also important in children’s mental maths capability. They would also need to know how to add near doubles i.e. 5 + 4. The following table includes some other key number facts to work on before Year 3. Although you would not expect children in Key Stage 1 to undertake a lot of formal mental maths tests, rapid recall is important so these will be practised regularly. Number facts children should know by the end of Year 2 Year 2 mental maths: place value

Let's look into the different techniques, which pupils will learn about. But first, let's understand why completing mental calculations is vital for young learners. Why is mental calculation important? As with all maths challenges all the way to Key Stage 2, any tasks should stretch a child and move past their comfort zone, without removing confidence by expecting a level of number skill they have not reached. It should be an opportunity to apply known number facts but in ways which extend their use of those facts, use rapid recall, and think beyond the tasks which have been modelled by the teacher already in a lesson. Why not use games to help your class practise their mental maths skills while having fun? For example, this Addition and Subtraction within 20 Mathopoly Game will challenge children while helping them develop their knowledge. In addition to the maths hub, Third Space Learning’s one-to-one online tuition is a great resource to help those students who need a little extra support in maths. Catered to each individual child’s needs we aim to build pupils’ confidence and fluency in maths. Grid Multiplication Worksheets Grid Multiplication TUxU Partitioned, Grid Multiplication TUxTU Partitioned, Grid Multiplication TUxU, Grid Multiplication TUxTU, Grid Multiplication HTUxTU, Grid Multiplication HTUxHTUTimes Tables Worksheets 1 x Table, 2 x Table, Division Times Table - 2, Division and Multiplication Mix - 2, 0,1,2 x Table, 10 x Table, Division Times Table - 10, Division and Multiplication Mix - 10, 5 x Table, Division Times Table - 5, Division and Multiplication Mix - 5, 2,5,10 x Table, Division Times Table - 2,5,10, 11 x Table, Division Times Table - 11, Division and Multiplication Mix - 11, 3 x Table, Division Times Table - 3, Division and Multiplication Mix - 3, 4 x Table, Division Times Table - 4, Division and Multiplication Mix - 4, 8 x Table, Division Times Table - 8, Division and Multiplication Mix - 8, 6 x Table, Division Times Table - 6, Division and Multiplication Mix - 6, 4,6,8 x Table, Division Times Table - 4,6,8, 9 x Table, Division Times Table - 9, Division and Multiplication Mix - 9, 7 x Table, Division Times Table - 7, Division and Multiplication Mix - 7, 6,7,8,9 x Table, Division Times Table - 6,7,8,9, 12 x Table, Division Times Table - 12, Division and Multiplication Mix - 12, 1-12 Times Tables, Division Times Tables 1-12 Split this into two easier subtractions: Taking away 13 is the same as taking away 10, then taking away 3.

Missing Number Problems Worksheets Missing Number Addition, Missing Number Subtraction, Missing Number Multiplication, Missing Number Division Estimating calculations - learning how to estimate the answer is a brilliant, real-world skill that children can learn as part of mental maths. They can do this by rounding numbers up or down, before they do any sums. This is a useful strategy to apply when subtracting smaller numbers. Children will be taught to use it together with a number line or a number square at first, but then they will be able to complete it mentally. Understanding fractions in Year 2 ensures that later in their primary school years pupils can apply this solid understanding to decimals and percentages. The importance of mental maths skills in Year 2 problem solvingMental maths methods develop problem-solving skills that promote faster calculations. It also allows children to see the relationship between numbers and the patterns they make. Column Subtraction Worksheets Column Subtraction Level 1, Column Subtraction Level 2, Column Subtraction Level 3, Column Subtraction Level 4, Column Subtraction Level 5, Column Subtraction Level 6