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# Maths NNS-style Examples - Year 3

Anita Straker has provided a supplement of examples for Hamilton like the original National Numeracy Strategy (NNS) version. This shows the progression round a particular element of teaching content – enabling teachers to differentiate & to understand the mathematical progression.

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Understand place value of three digit numbers, also related addition and subtractions, for example 102 + 30 = 132, 423 – 20 = 403. Multiply two-digit numbers by 10 and understand the effect (using place value charts to help)

Locate three-digit numbers on a 0-1000 line (100s labelled). Compare three-digit numbers, use < and > signs

Using addition and subtraction facts. Know addition and subtraction facts: 100s with a total of 1000, multiples of 5 with a total of 100, use the latter to find change from £1

Double two-digit numbers (totals more than 100). Know double 1-20 by heart, and related halves. Understand the relationship between halving doubling

Adding 2-digit numbers.Add any pair of two-digit numbers (inc totals more than 100) by partitioning and recombining. Estimate the answer first. Add three two-digit numbers. Choose whether to partition and recombine or to count on in tens and ones

Subtracting using bridging tens, place value and number facts. Find a ‘wider’ difference, for example 72 – 28, by counting up. Solve subtractions such as 103 – 98, 103 – 5, by counting up or counting back, bridging 100. Choose whether to subtract by counting back or by counting up

Adding and subtracting near multiples of ten. Add/subtract any near multiple of ten to/from two-digit numbers, including crossing 100

Count on and back in 1s, 10s and 100s from 3-digit numbers. Add/subtract 1p, 10 and £1 to/from three-digit prices

Reasoning and explaining. Solve mathematical puzzles. Explain methods and reasoning orally

Multiplication and division facts for the 2, 3, 4, 5 and 10 times tables. Count on in 3s, 4s, look at patterns, investigate general statements. Revise multiplication facts for 2, 3, 5, and 10 times tables, and learn corresponding division facts. Begin to learn multiplication facts for 4 times table

Multiplication and division (including commutativity and finding a remainder). Multiply single digits by 2, 3, 4, 5, 9 and 10, and divide two-digit numbers by the same (answers not greater than 10, but including remainders). Understand the vocabulary ‘multiplied by’ and the concept of commutativity. Begin to decide whether to round up or down after division depending on the context.

Ordering and finding fractions of shapes and numbers. Revise finding ½, ¼, ¾, 1/3 and 2/3 of numbered strips and extend to finding these fractions of sets of objects. Find ¼ of multiples of 4 to 40 by halving one half and 1/3 of multiples of 3 to 30. Find 1/10 then several tenths of shapes and strips divided into 10 equal parts and 1/10 of multiples of 10. Recognise the equivalence of ½ and 5/10 using diagrams

Problem solving. Solve word problems, single and multi-step (all four rules). Solve logic problems