Public learning track
Multi-Digit Division Algorithms and Remainders
4th Grade · Math · Open Global Math
6 lessons
Goal
Fluently perform long division with up to four-digit dividends and two-digit divisors, and interpret remainders in real-world contexts.
Featured Diagrams
Dividing Three- and Four-Digit Numbers by One-Digit Divisors
6 lessons
0 of 6 done
- 1Dividing Three- and Four-Digit Numbers by One-Digit DivisorsUp nextStart
- 2Dividing Four-Digit Numbers by Two-Digit Divisors with RemaindersPremiumNot started yet
- 3Dividing Four-Digit Numbers by Two-Digit Divisors with Whole Number RemaindersNot started yet
- 4Dividing Four-Digit Numbers by Two-Digit Divisors with Zero in the QuotientNot started yet
- 5Interpreting Remainders: Round Up, Drop, or Fractional PartNot started yet
- 6Solving Multi-Step Word Problems with All Four OperationsNot started yet
Standards Covered
- OGM.5.NBT.5Open Global Math Standards 2026™ · Math · Level 5 / Grade 4 (Age 9) · Grade 4Find whole-number quotients and remainders with up to four-digit dividends and one- or two-digit divisors using area models, partial quotients, the division algorithm (Euclidean division: a = bq + r), and interpret remainders in mathematical and real-world contexts.
- OGM.5.NBT.3Open Global Math Standards 2026™ · Math · Level 5 / Grade 4 (Age 9) · Grade 4Fluently add and subtract multi-digit whole numbers up to multi-digit standard algorithms with regrouping across zeros, using mental calculation, written column layouts, and digital computational tools.
- OGM.5.NBT.4Open Global Math Standards 2026™ · Math · Level 5 / Grade 4 (Age 9) · Grade 4Multiply whole numbers of up to 4 digits by a 1-digit number and 2-digit numbers by 2-digit numbers (including powers of 10 and perfect squares through 15 × 15) using area models, arrays, partial products, distributive property, mental calculation shortcuts, and the standard algorithm.
Curriculum Framework
4th Grade · Math · Open Global Math
1
7 lessons
Place Value and Powers of Ten to Billions
Understand the base-ten place value system from ones through billions and explain how multiplying or dividing by ten shifts digit values.
2
7 lessons
Reading, Writing, and Comparing Numbers to Billions
Read, write in standard, word, and expanded forms, compare, and order multi-digit whole numbers through billions.
3
8 lessons
Rounding and Estimation in Financial Contexts
Round multi-digit whole numbers to any place and use compatible numbers to estimate and check reasonableness in everyday financial scenarios.
4
8 lessons
Multi-Digit Addition and Subtraction Algorithms
Fluently add and subtract multi-digit whole numbers using column algorithms, mental strategies, regrouping across zeros, and digital verification.
5
7 lessons
Multiplication Properties, Models, and Mental Strategies
Multiply multi-digit numbers using area models, arrays, the distributive property, perfect squares up to 15 × 15, and mental calculation shortcuts.
6
7 lessons
Multi-Digit Multiplication Algorithms and Applications
Execute the standard multiplication algorithm fluently for up to 4-digit by 1-digit and 2-digit by 2-digit numbers and solve complex word problems.
7
6 lessons
Division Concepts, Models, and Partial Quotients
Divide multi-digit dividends by one- and two-digit divisors using area models, arrays, partial quotients, and Euclidean division.
8
6 lessons
Multi-Digit Division Algorithms and Remainders
Fluently perform long division with up to four-digit dividends and two-digit divisors, and interpret remainders in real-world contexts.
9
6 lessons
Roman Numerals and Historical Number Systems
Read, write, and convert Roman numerals up to 3,000, and explore the historical emergence of zero, place value, and unified measurement systems.