Student Profile Name: Emergent to One to One Counting Date achieved

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1 mergent to One to One Counting ledge Read The numerals 1 to The numbers 1 to 10 forwards: The numbers 10 to 1 backwards: A Count The number of objects in a set up to

2 One to One Counting to Counting from One on Materials ledge Read The numerals 1 to The next number after from 1 to The number before from 1 to Patterns for numbers 1 to 5 A Join Groups of objects together and find the total up to 10 and Split Groups of objects and find how many are left over

3 Counting from One to Counting from On Materials One By Imaging ledge Skip Count In 2 s up to 20 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 The next number after from 1 to The number before from 1 to Patterns for numbers 1 to 10 A Solve + and groupings to = = 3 Addition problems, up to 10, by counting all the objects in my head and Solve Subtraction problems, up to 10, by counting all the objects in my head take away

4 Counting from One By Imaging to Counting ledge Read,Write, and Count Whole numbers up to 100, forwards and backwards in 1 s, 2 s, 5 s, and 10 s Recall How many tens in a two-digit number, eg 87 has 8 tens Groupings that make up numbers to 10, A eg = 10 Doubles up to 20 and the matching halves, eg = 14, ½ of 14 is 7 Groupings with 10, Solve eg = 13 Addition problems, up to 100, by counting on in my head 38 and for = 41 Solve Subtraction problems, up to 100, by counting back in my head 18, 17, 16, 15 for 19 4 = 15

5 Counting to arly Additive ledge Count Whole numbers up to 1000, in ones, tens and hundreds, eg 370, 380, 390, 400, 410 Recall How many tens in a three-digit number, eg 456 has 45 tens All the addition facts to 20, eg = 15 A Solve + and problems Solve and problems Find a unit fraction of: All the 2, 10, 5 multiplication facts and the matching division facts, eg 35 5 = 7 Using doubles, eg = 15 because = 14, 16 8 = 8 because = 16 Making tens, eg = Joining and separating tens and ones, eg = ( ) + (4 + 5) = 59 Using repeated addition, eg 4 6 as = 12, = 24 Turning multiplications around, eg 10 3 = 3 10 A set using halving, eg ¼ of 20 as ½ of 20 = 10, ½ of 10 = 5 A shape using fold symmetry, eg

6 arly Additive to Additive ledge Order order Whole numbers up to , eg < < How many 10 s and 100 s are in whole numbers up to , eg 734 tens are in Fractions with the same numerator or denominator, eg 1 < 1 3 and < A Recall Recall Solve + and problems Solve and problems Find a unit fraction of: All the basic addition and subtraction facts up to 20, eg 13 5 = 8 and = 14 All the basic multiplication facts up to = 100, eg 6 9 = 54 Using standard place value (100 s, 10 s, 1 s), eg = as = 524, = 518 Compensating from tidy numbers, eg = as = 355 Reversing the operation, eg = as = 834 Splitting one factor into parts, eg 8 13 = (8 10) + (8 3) Doubling and halving, eg 24 5 = = 120 Reversing the operation for division, eg 63 7 = using 9 7 = 63 A set using multiplication, eg 5 1 of 35 using 5 7 = 35

7 Additive Student Profile to Multiplicative ledge Order Decimals to three places, eg 625 < 63 < 6402 quivalent fractions including halves, thirds, quarters, fifths, tenths, hundredths, eg = and = 75% = A Recall Solve + and problems with fractions, decimals, and integers How many 10 1 s, 10 s, 100 s and 1000 s are in whole numbers up to , eg there are 3879 tenths in 3879 All the basic multiplication and division facts up to = 100, and = 10, eg 6 9 = 54, 72 8 = 9 Splitting fractions and using equivalent fractions, eg = as ( ) + 8 = ( ) + 8 = Using standard place value, reversing, and tidy numbers with decimals, eg = as = 24 or = 062 Recognising equivalent operations with integers, eg = has the same answer as = + 8 Solve and problems with whole numbers Solve problems with fractions Using standard place value (100 s, 10 s, 1 s), eg 7 56 = as 7 50= 350, 7 6 = 42, and = 392, or = as = 20, 28 7 = 4, = 28 Compensating from tidy numbers, eg = as = 30 so = 28 Splitting factors, eg = as = 34 Finding equivalent ratios, eg 2:3 is equivalent to 8:12 2 in the same way as 5 = 208 xpressing division answers and remainders as mixed 24 numbers and fractions, eg 24 5 = 5 = 4 54

8 Multiplicative to Proportional ledge Find Least common factors and highest common multiples, eg 6 is the HCF of 24 and 42 Fraction to decimal to percentage conversions for 21 s, 41 s, 51 s, 81 s, 101 s, 31 s, eg 5 3 = 06 = 60% How many tenths, hundredths, thousandths are in decimals, eg 237 is 2370 thousandths A order Solve problems that involve combining different proportions Solve and problems with fractions and decimals Solve problems with fractions, ratios and proportions Fractions with different denominators, 2 7 eg 5 < 16 < 21 Using weighting or averaging, eg 25% of 36 combined with 75% of 24 gives 27 out of 60 (45% of 60) Using standard place value, reversing, and compensating from tidy numbers, eg = as 07 3 = 21, = 063, and = 273 Converting from fractions to decimals to percentages, eg 80% of 53 = as = 8 53 = 424 Creating common denominators, eg 5 4 = or 3 4 = as = 3 = 2 32 Using common factors to multiply between and within ratios, eg 8:12 as :21 as 8:12 = 2:3 (common factor of 4) so 2:3 = 14:21 (multiplying by 7) Partitioning fractions and percentages, eg 85% of 36 = as 10% of 36 = 36, 5% of 36 = 18, so = 306

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