Mathematics · Grade 2

Skills

• Addition facts within 20 Recalls 8 + 7 = 15, 9 + 6 = 15 and every bond within 20 instantly.
• Subtraction facts within 20 and fact families Recalls 15 − 9 = 6 and writes the family 6 + 9 = 15, 9 + 6 = 15, 15 − 6 = 9, 15 − 9 = 6.
• Commutativity of +, not of −, and checking by inverse Knows 5 + 3 = 3 + 5 but 5 − 3 ≠ 3 − 5, and checks 52 − 17 = 35 by 35 + 17.
• Add 2-digit numbers with regrouping Works 47 + 38 in a written method, carrying a ten.
• Subtract 2-digit numbers with regrouping, then mixed fluency Works 64 − 37 by opening a ten, then mixes +/− within 100 without hesitation.
• Add up to four 2-digit numbers Totals 23 + 41 + 18 + 7 by grouping tens and ones.
• Add and subtract 3-digit numbers with base-ten models Shows 356 + 278 with blocks, trading 10 tens for a hundred, and draws it.
• Column add and subtract 3-digit numbers, across zero Writes 356 + 278 and 403 − 168 in columns, regrouping across the zero.
• Equal groups and arrays as repeated addition and × Writes 4 groups of 3 as 3 + 3 + 3 + 3 and as 4 × 3, and reads a 4-by-3 array as 4 × 3.
• 2, 5 and 10 times tables with division facts Recalls 6 × 5 = 30 and 30 ÷ 5 = 6, 7 × 2 and 70 ÷ 10 instantly.
• 3 and 4 times tables Recalls 3 × 7 = 21, 4 × 6 = 24 and their division facts.
• Meet the 6, 7, 8 and 9 tables Explores 6 × 7 with arrays and the pattern of the 9s (9 × 4 = 36: digits add to 9). Not a gate.
• ×0, ×1 and swapping factors Knows 7 × 0 = 0, 7 × 1 = 7 and that 3 × 5 = 5 × 3 but 12 ÷ 3 ≠ 3 ÷ 12. Subset of G3.MD.4: ×0, ×1 and commutativity only; associative and distributive strategies are not covered (introduce-only).
• Multiply by tens and 2-digit × 1-digit Works 4 × 30 from 4 × 3, then 23 × 4 with a grid (20 × 4 + 3 × 4).
• Sharing, grouping and thinking multiplication Tells "12 shared among 3" from "12 in groups of 3", writes ÷, solves 32 ÷ 8 by asking 8 × ? = 32.
• Remainders and 2-digit ÷ 1-digit Says what is left over in 14 ÷ 4 = 3 remainder 2 and shares 72 into 3 equal groups with blocks.