Number — Grade 4

• Column addition with regrouping

  Litnumia skill: Column addition with regrouping

  Ontario consolidates the standard algorithm in Grade 4, after flexible decomposition strategies; students compare it with their own methods.

• Column methods with four-digit numbers

  Litnumia skill: Column methods with four-digit numbers

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

• Column subtraction with regrouping

  Litnumia skill: Column subtraction with regrouping

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

• Decimals: hundredths

  Litnumia skill: Decimals: hundredths

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

• Equivalent fractions

  Litnumia skill: Equivalent fractions

  Equivalence shown with fraction strips and number lines before the multiplicative rule.

• Estimate and check calculations

  Litnumia skill: Estimate and check calculations

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

• Fractions of quantities

  Litnumia skill: Fractions of quantities

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

• Multiply and divide by 10 and 100

  Litnumia skill: Multiply and divide by 10 and 100

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

• Place value to 10,000

  Litnumia skill: Place value to 10,000

  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.

• Round to the nearest 10 or 100

  Litnumia skill: Round to the nearest 10 or 100

  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.

• Short division with remainders

  Litnumia skill: Short division with remainders

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

• Short multiplication

  Litnumia skill: Short multiplication

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

• Tenths as decimals

  Litnumia skill: Tenths as decimals

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