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