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