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In Pluto, our teaching is organised according to age related expectations of the National Curriculum and the St. Peter’s Calculation Policy. Pupils are taught the method appropriate to the curriculum that they are working towards and move on when they enter the next year group or are secure enough to do so. Supporting your child at home Key things you can do to support your child’s learning at home are: Help your child learn their number bonds to 10 and 20. This includes any calculation within 10 and 20 e.g. 4+3=7, 14+3=17. This will help your children with their mental maths fluency. Count in 2s, 5s and 10s (Year 2 need to count in 3s) This will support your child when we start working on multiplication and division. Reinforce concepts of place value. The children need to understand the value of tens and ones within numbers e.g. the number 27 has 2 groups of ten and 7 ones. Form their digits correctly. Children will often write them the wrong way e.g. 14 instead of 41. Support your child while they complete their homework. The homework will be linked to the work completed in class. The children will have learnt various methods as stated below. Start by asking your child if they remember the method from class. This leaflet should help you support your child if they are ‘stuck’. Reasoning Developing mathematical ‘reasoning’ skills (how we think and talk about mathematical concepts) is an integral part of every lesson. We encourage children to be number detectives: to look for patterns and to explain or ‘prove’ their ideas as this improves their understanding and makes them more confident mathematicians. Addition and subtraction Addition and subtraction are taught together to enable children to see the links between the two operations. We encourage the children to prove and check their calculations using the inverse operation and/ or mathematical resources such as number lines or Numicon (see photos of these below). For children accessing the Year 1 curriculum, we will begin using concrete objects such as Numicon and counters before moving on to pictorial methods using a number line. For children accessing the Year 2 curriculum, we will use concrete objects alongside the pictorial methods. The children are expected to draw their own number line and/or use blank number lines. The children will learn to bridge ten to support calculations involving two digit numbers. They will move on to addition and subtraction by partitioning when ready. Children in year 2 are excepted to show that addition of two numbers can be done in any order (commutative) and subtraction of one number from another cannot. During addition and subtraction, the children will all move from the concrete to pictorial to the abstract. However, we always return to the concrete to ensure children have a deep understanding of the concept. Key equipment: Numicon Ten frame Dienes Bead string Models: Part, Part Whole Model Bar Model Number line Addition Key learning objectives I can add two numbers together. add, altogether, and, makes, more Concrete: Children use any objects including cubes, numicon and counters to combine two amounts. 4 + 2 = 6 Pictorial: Children use pictures to add two groups of numbers together. 4 + 2 = 6 I can count on from the largest number equal, =, sum, plus Concrete: Children add two numbers together by counting on from the largest number. They can use a bead string or objects. Pictorial: Children add two numbers together using a number line. They start at the largest number and count on. I can add two numbers together by bridging ten addition, increase, inverse, total Concrete: Children add together two numbers by regrouping to the nearest multiple of ten. E.g. 7 +8 =15 Ten frame Pictorial: Children bridge ten by drawing their own number line or using a blank number line. Subtraction Key learning objectives I can subtract a single digit number how many have gone?, left over, less, take away Concrete: Children use any objects to subtract a one digit number. 6-2 = 4 Pictorial: Children use pictures to subtract a single digit number. 6-2= 4 I can subtract numbers by counting back equals, =, minus, subtract Pictorial: Children count back from the largest number on a number line. I can subtract by finding the difference decrease, difference, inverse, subtraction Concrete: Children can use objects to find the difference between two numbers. The difference between 10 and 8=2 Pictorial: Children use a number line to count up to find the difference. Year 2: Children find the difference on a blank number line by bridging ten.