Number — Grade 3

• Column addition without regrouping

  Litnumia skill: Column addition without regrouping

  Student-invented and mental strategies first (decomposing, compensating, open number lines); standard algorithms are consolidated later than in other systems.

• Compare and order numbers to 1,000

  Litnumia skill: Compare and order numbers to 1,000

  Represent numbers with a variety of tools (ten-frames, base-ten blocks, number lines) and contexts; students explain their reasoning and compose/decompose numbers flexibly.

• Compare fractions with the same denominator

  Litnumia skill: Compare fractions with the same denominator

  Heavy use of visual models (fraction strips, number lines, area models); Ontario says 'fourths'; equivalence and operations reasoned through models before symbols.

• Count in 50s and 100s

  Litnumia skill: Count in 50s and 100s

  Represent numbers with a variety of tools (ten-frames, base-ten blocks, number lines) and contexts; students explain their reasoning and compose/decompose numbers flexibly.

• Mental strategies with three-digit numbers

  Litnumia skill: Mental strategies with three-digit numbers

  Student-invented and mental strategies first (decomposing, compensating, open number lines); standard algorithms are consolidated later than in other systems.

• Multiplication facts for 2 to 8

  Litnumia skill: 3, 4 and 8 times tables

  Equal groups and arrays with tools; students choose among flexible strategies (halving/doubling, partial products) before standard algorithms in later grades.

• Place value: hundreds, tens and ones

  Litnumia skill: Place value: hundreds, tens and ones

  Represent numbers with a variety of tools (ten-frames, base-ten blocks, number lines) and contexts; students explain their reasoning and compose/decompose numbers flexibly.