Maths Continuum

Year One Numeracy

Maths Expectation for the end of year 1 Stage 3 - Counting from 1 by Imaging

Knowledge

  • counting forwards to 20

  • counting backwards from 20

  • reading the numerals up to 20

  • writing the numerals up to 20

  • saying the next number “after” a given number up to 20

  • saying the number before a given number from 1-20

  • Knowing groupings for numbers from 1- 10

  • Knowing + and - groups to 5

  • counting in 2’s and 5’ and 10’s up to 20

  • solving simple number problems and explaining how it was worked out.

Strategy

Solve

  • Addition problems, up to 10 by counting all the objects in my head.

  • Subtraction problems, up to 10 by counting all the objects in my head.

Numeracy Year 2 Advanced Counting

  • Saying the number that comes after, up to 100

  • Saying the number that comes before, up to 100

  • Identifying numbers up to 1000.

  • adding or subtracting by counting the tens.

  • Instant recall of basic facts up to 10.

  • Counting backwards and forwards in 1’s, 2’s, 5’s and 10’s.

  • Sharing objects equally.

  • Recalling doubles, halves and teen facts up to 20.

  • Recognising the symbol for ½, ¼ and 1/3.

  • using skip counting to solve multiplication, division or fraction problems.

Strategy

  • counting on from the biggest number to solve basic addition or subtraction tasks.

  • counting back to solve subtraction tasks.

Numeracy Year 3/4 - Early additive

  • understanding of numbers up to 1000

  • knowing how many tens in numbers to 1000

  • naming and recognising fractions of shapes and groups of objects and numbers.

  • learning basic multiplication and division facts (2,5,10,3,4)

  • identifying and comparing fractions.

  • ordering fractions

  • basic addition and subtraction facts to 20.

Strategy

  • regrouping 2 digit numbers to solve addition and subtraction problems mentally

  • using basic multiplication and division facts to solve number problems

Year 5/6

Maths

Number Knowledge

  • reading and ordering numbers to 1000000

  • reading decimals up to three places, eg, 0.764

  • reading symbols for any fraction, eg, 11/3, 4/5, 13/3

  • saying the number 1000 more/less

  • knowing how many tens and hundreds are in four-digit numbers

  • ordering fractions with the different denominators, eg, 1/4, 2/3, 4/5

  • knowing groups within 1000 eg. 240 + 760

  • knowing how many twos, threes, fives, and tens in numbers to 100 and any remainders, eg, threes in 17

  • rounding whole numbers to the nearest 10, 100, 1000, eg, 5508 rounds to 6000

  • rounding decimals to the nearest whole number, eg, 3.49 rounds to 3

  • knowing basic facts for subtraction, eg, 16-9

  • knowing 6 times, 7 times, 8 times, 9 times tables

Strategies

  • using a number of ways to solve problems in addition and subtraction

  • using a number of ways to solve problems in multiplication and division

Year 7/8 Maths National Expectation - Stage 7 AM

Knowledge

  • counting forwards and backwards in 0.001s, 0.01s and 0.1s

  • saying the numbers 0.001, 0.01, 0.1 before and after any whole number

  • ordering decimals up to three places, eg. 6.25 and 6.3

  • ordering fractions including halves, thirds, quarters, fifths, tenths

  • knowing how many 10s, 100’s or 1000’s in numbers up to 1 000,000, eg. tens in 47 562

  • knowing equivalent fractions and proportions for 1/2s, 1/3s, 1/4s, 1/5s, 1/10s with denominators of 10, 100, 1000, eg. 1/4 = 25/100

  • rounding decimals to the nearest 1 or 1/10

  • knowing all x and division basic facts to 10x10, 100 ÷ 10

  • knowing fraction decimal percentage conversions for 1/2s, 1/3s, 1/4s, 1/5s and 1/10s, eg., 3/4 = 0.75 = 75%

  • using divisibility rules for 2, 3, 5, 9, 10 eg. 245 is divisible by 5 since the ones digit is 5

  • knowing square no’s to 100, and the matching square roots, eg. 7squared = 49

  • identifying factors of numbers to 100 eg. factors of 35 = (1, 5, 7, 35 )

  • finding common multiples of numbers to 10 eg., Common Multiples of 3 and 7 = (21, 42, 63, ...)

Strategies

  • using a range of strategies to solve addition and subtraction problems involving decimals, positive and negative numbers and fractions

  • using a range of strategies to solve multiplication and division problems involving missing factors and remainders.

  • using a range of strategies to estimate answers and solve problems with fractions, proportions and ratios

  • learning to create tables, graphs and rules for repeating patterns

Stage 8 - AP Knowledge

  • saying the numbers 0.001, 0.01, 0.1 before and after decimal numbers

  • ordering fractions, decimals and percentages, eg. 40%, ⅗, 0.5

  • knowing the number of tenths, hundreths and thousandths that are in numbers up to 3 decimal places eg. tenths in 45.6

  • knowing what happens when a whole number or decimal is x or divided by a power of 10, eg. 4.5 x 100; 67.3 divided by 10

  • rounding decimals to the nearest 100, 10, 1, 1/10, 1/100

  • recalling fractional, decimal, and percentage conversions for commonly used fractions, eg. ⅛ = 0.125 = 12.5%

  • knowing simple powers of numbers to 10

  • using divisibility rules for 2,3,4,5,6,7,8,9,10, eg. 276 is dividsible by 3 because 2+7+6 =15

  • identifying common factors of numbers to 100, including the highest common factor

  • identifying the least common multiples of pairs of numbers to 10. eg., the LCM of 6 and 8 is 24