Maths

Stage 4
I am learning to ...
Knowledge
Read, Write and Count	Whole numbers up to 100, forwards and backwards in 1’s, 2’s, 5’s, and 10’s.
Read	Common unit fractions, i.e. ½, ¼, 1/3, 1/5, 1/6
Recall	How many tens in a two-digit number, e.g. 87 has 8 tens,  Nine groups of 10 is 90
Know	Groupings that make up numbers to 10,  e.g.   7 + 3 = 10.
Know	Doubles up to 20 and the matching halves, e.g 7 + 7 = 14, 1/2 of 14 is 7
Know	Groupings with 10, “Teen numbers” e.g. 10 + 3 = 13
Solve	Addition problems, up to 100, by counting on in my head.
Solve	Subtraction problems, up to 100, by counting back in my head
Solve	Multiplication problems by skip counting (in 2’s, 5’s or 10’s).
Solve	Unit fraction problems by equal sharing.

Stage 5
We are learning to ...
Knowledge
Read and Count	Whole numbers up to 1000, in ones, tens and hundreds, e.g. 370, 380, 390, 400,
Order	Common unit fractions, i.e. ½,  1/3, ¼,1/5, 1/6
Recall	How many tens in a three-digit number, e.g. 456 has 45 tens,   49 groups of 10 is?
Know	All the addition facts to 20, e.g. 8 + 7 = 15.
Know	All the 2 x, 10 x, 5 x multiplication facts and the matching division facts, e.g. 35 ÷ 5 = 7,    6 x 5 = 30
Strategy
Solve + and – problems by:	Using doubles, e.g. 8 + 7 = 15 because 7 + 7 = 14, 16 – 8 = 8 because 8 + 8 = 16.
	Making tens, e.g. 28 + 6 = 30 + 4.
	Joining and separating tens and ones, e.g. 34 + 25 = (30 + 20) + (4 + 5) = 59.
Solve x and ÷ problems by:	Using repeated addition, e.g. 4 x 6 as 6 + 6 = 12, so 12 + 12 = 24.
	Turning multiplications around, e.g. 10 x 3 = 3 × 10.
Find a unit fraction of:	A set using halving, or addition e.g.1/4 of 20 as 1/2 of 20 =10,  1/2  of 10=5 or 5 + 5 + 5 + 5 = 20
	A shape using fold symmetry.

Stage 6
I am learning to ...
Knowledge
Read and Order	Whole numbers up to 1 000 000, e.g. 36 075 < 90 002 < 201 489.
Know	How many 10’s and 100’s are in whole numbers up to 10 000, e.g. 73 hundreds are in 7 340.
Read and order	Fractions with the same numerator or denominator.
Read	Any fraction including improper fractions.
Recall	All the basic addition and subtraction facts up to 20, e.g. 13 – 5 = 8 and 8 + 6 = 14.
Strategy
Recall	All the basic multiplication facts up to 10 x 10 = 100, e.g. 6 x 9 = 54
Solve + and – problems by:	Using standard place value (100’s, 10’s, 1’s), e.g. 724 – 206 = o as 724 – 200 – 6 = 518,
	Compensating from tidy numbers, e.g. 834 – 479 = o as 834 – 500 + 21 = 355.
	Reversing the operation, e.g. 834 – 479 = o as 479 + o = 834.
Solve x and ÷ problems by:	Splitting one factor into parts (Place Value) e.g. 8 x 13 = (8 x 10) + (8 x 3).
	Using tidy numbers e,g, 29 x 6 = (30 x 6) – (1 x 6)
	Doubling and halving, e.g. 24 x 5 = 12 x 10 = 120.
	Reversing the operation for division, e.g. 63 ÷ 7 = o using 9 x 7 = 63.
Find a unit fraction of:	A set using multiplication, e.g. One fifth of 35 using 5 x 7 = 35. and three fifths of 35 using 7 x 3 = 21

Stage 7
I am learning to ...
Knowledge
Read and Order	Decimals to three places, e.g. 6.25 <  6.3 < 6.402
Know	Equivalent fractions including halves, thirds, quarters, fifths, tenths, hundredths.
Know	How many tenths, 10’s, 100’s and 1000’s are in whole numbers up to 1000 000, e.g. 387.9 tenths are in 3879.
Recall	All the basic multiplication and division facts up to 10 x 10 = 100,  and 100 ÷ 10 = 10,  e.g. 6 x 9 = 54, 72 ÷ 8 = 9 Factors of numbers up to 100, e.g.  1, 3, 5 are factors of 15
Strategy
Solve + and – problems with fractions, decimals, and integers by:	Splitting fractions and using equivalent fractions.
	Using standard place value, reversing, and tidy numbers with decimals, e.g. 2.4 – 1.78 = o as 1.78 + o = 2.4  or 2.4 – 1.8 + 0.02 = 0.62.
	Recognising equivalent operations with integers, e.g. +5 - -3 = o has the same answer as +5 + +3 = +8.
Solve x and ÷  problems with whole numbers by:	Using standard place value (100’s, 10’s, 1’s), e.g. 7 x 56 = o as 7 x 50= 350, 7 x 6 = 42, and 350 + 42 = 392, or 168 ÷ 7 = o as 140 ÷ 7 = 20, 28 ÷ 7 = 4, 20 +  8 = 28 .
	Compensating from tidy numbers, e.g. 252 ÷ 9 = o as 270 ÷ 9 = 30 so 252 ÷ 9 = 28.
	Splitting factors, e.g. 544 ÷ 16 = o as 544 ÷ 2 ÷ 2 ÷ 2 ÷ 2 = 34.
Solve problems with fractions by:	Finding equivalent ratios, e.g. 2:3 is equivalent to 8:12.
	Expressing division answers and remainders as mixed numbers and fractions, e.g. 24 ÷ 5 =  = 4.