Public learning track
Multiplication Properties, Models, and Mental Strategies
4th Grade · Math · Open Global Math
7 lessons
Goal
Multiply multi-digit numbers using area models, arrays, the distributive property, perfect squares up to 15 × 15, and mental calculation shortcuts.
Featured Diagrams
Perfect Squares and Square Roots Through 15 × 15
7 lessons
0 of 7 done
- 1Perfect Squares and Square Roots Through 15 × 15Up nextStart
- 2Using the Distributive Property to Multiply MentallyPremiumNot started yet
- 3Mental Shortcuts: Doubling and Halving StrategiesNot started yet
- 4Multiplying by Multiples of 10, 100, and 1,000 MentallyNot started yet
- 5Area Models for One-Digit by Up to Four-Digit MultiplicationNot started yet
- 6Area Models for Two-Digit by Two-Digit MultiplicationNot started yet
- 7Partial Products Strategy for MultiplicationNot started yet
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.