Add and subtract Y3 x 5 = 20 3 x = 18 x = 32 fractions with small denominators mentally Partitioning E.g Fractions of shapes including a Jottings should be used to support Or Bar method e.g. NNS ITP number and this. Some children will require fractions ones, a 3-digit concrete apparatus at this point. number and 38 x 5 = (30 x 5) + (8 x 5) Recognise and show with diagrams tens, , a 3-digit = 150 + 40 equivalent fractions with small number and = 190 denominators hundreds Counters numbered in 1s, 10s, or 100s could be used Add and subtract fractions with the Multiplication same denominators within 1 whole Children should then, when ready, facts for (2,5,10) e.g. 5/7 + 1/7 = 6/7 move to reliable written methods 3,4,6 and 8 x Grid method: tables up to Compare and order unit fractions The grid method is important as it and fractions with the same 12X… leads into the partitioning model Division facts for denominator (below) for mental multiplication and times tables e.g. Using measures 1 ½ litres, ¼ division of 2 digit by 1 digit numbers 2,5,10,3,4,6 litre, 1 1/3 litre, ¾ 2-digit by 1-digit numbers e.g.30 ÷ 6= 5; 6 = 30÷5 Count up and down in tenths…by dividing an object and in dividing 1-digit numbers or quantities by 10
Y3 Add and subtract mentally including a number and ones, a 3-digit number and tens, , a 3-digit number and hundreds Multiplication facts for (2,5,10) 3,4,6 and 8 x tables up to 12X… Division facts for times tables 2,5,10,3,4,6 e.g.30 ÷ 6= 5; 6 = 30÷5 Count up and down in tenths…by dividing an object and in dividing 1-digit numbers or quantities by 10 x 5 = 20 3 x = 18 x = 32 Partitioning Jottings should be used to support this. Some children will require concrete apparatus at this point. 38 x 5 = (30 x 5) + (8 x 5) = 150 + 40 = 190 Counters numbered in 1s, 10s, or 100s could be used Children should then, when ready, move to reliable written methods Grid method: The grid method is important as it leads into the partitioning model (below) for mental multiplication and division of 2 digit by 1 digit numbers 2-digit by 1-digit numbers fractions with small denominators E.g Fractions of shapes Or Bar method e.g. NNS ITP fractions Recognise and show with diagrams equivalent fractions with small denominators Add and subtract fractions with the same denominators within 1 whole e.g. 5/7 + 1/7 = 6/7 Compare and order unit fractions and fractions with the same denominator e.g. Using measures 1 ½ litres, ¼ litre, 1 1/3 litre, ¾