Drawing phase – Using bar model to colour in. Symbolic phase – as below. and increasingly complex Problems. Practice calculations with simple fractions and decimal equivalents to aid fluency. 2 + 3 = 16 + 15 = 31 5 8 40 40 40 Written Methods In practical activities and discussion, beginning to use the vocabulary involved in adding and subtracting. Using quantities and objects, they add two single-digit numbers and count on to find the answer. Records, using marks that they can interpret and explain. Begins to identify own mathematical problems based on own interests and fascinations. Read, and interpret mathematical statements involving addition (+), subtraction (–) and equals (=) signs Add and subtract two numbers using concrete objects, pictorial representations progressing to formal written methods 4 6 + 2 7 7 3 1 Add and subtract numbers with up to three digits, using formal written methods of columnar addition and subtraction 4 2 3 + 8 8 5 1 1 1 1 Add and subtract numbers with up to 4 digits the formal written methods of columnar addition where appropriate 2 4 5 8 + 5 9 6 3 0 5 4 1 1 1 Add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction) Add and subtract decimal numbers including using formal written methods (columnar addition and subtraction) Year group Reception Year 1 Year 2
6 6 6 Written Methods In practical activities and discussion, beginning to use the vocabulary involved in adding and subtracting. Using quantities and objects, they subtract two single-digit numbers and count back to find the answer. Records, using marks that they can interpret and explain. Begins to identify own mathematical problems on own interests and fascinations. Read, write and interpret mathematical statements involving addition (+), subtraction (–) and equals (=) signs Add and subtract two numbers using concrete objects, pictorial representations progressing to formal written methods 6 1 7 3 - 4 6 2 7 Add and subtract numbers with up to three digits, using formal written methods of columnar addition and subtraction 2 3 1 3 4 4 - 1 8 7 1 5 7 Add and subtract numbers with up to 4 digits using the formal written methods of columnar addition where appropriate Add and subtract numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction) Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why
Drawing phase – Using bar model to colour in. Symbolic phase – as below. ½ of 6 = 3 Symbolic phase – as below. 2/5 =4/10 Concrete phase – Using card or fraction wall, string shapes Drawing phase – Using bar model to colour in. Symbolic phase – as below. 2/10 = 20/100 Concrete phase – Using card or fraction wall, string shapes Drawing phase – Using bar model to colour in. Symbolic phase – as below. Written Methods They solve problems, including doubling. Encourage children to begin to write it as repeated addition in preparation for Year 2. e.g. , 2+2+2+2=8 Calculate mathematical statements for multiplication within the multiplication tables and write them using the multiplication (×), division (÷) and equals (=) signs. Write and calculate mathematical statements for ÷ using the x tables they know progressing to formal written methods. Multiply two-digit and three-digit numbers by a one-digit number using formal written layout 243 x 6 1458 2 1 Multiply numbers up to 4 digits by a one- or number using a formal written method, including long multiplication for numbers 243 x 36 7290 +1458 8748 1 Multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication 5172 x 38 155160 196536 1 Year groups Reception Year 1 Year 2
= Drawing phase – Using shapes and bars. Symbolic phase – as below. square counters and money. Drawing – Using, place value grids, shapes and bars. Symbolic phase – as below. ÷ 2 = Written Methods Records, using marks that they can interpret and explain. They solve problems including sharing. Encourage children to begin to write it as repeated addition in preparation for Year 2. e.g. , 2+2+2+2=8 Calculate mathematical statements for multiplication within the multiplication tables and write them using the multiplication (×), division (÷) and equals (=) and begin to show remainders . Write and calculate mathematical statements for ÷ using the x tables they know progressing to formal written methods with remainders included. Continue to write and calculate mathematical statements for ÷ using the x tables they know progressing to formal written methods with remainders. Divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context. Divide numbers up to 4-digits by a whole number using the formal written method of short division where appropriate for the context Year groups Reception Year 1 Year 2