Public learning track
Properties of Operations and Mental Multiplication
2nd Grade · Math · Open Global Math
5 lessons
Goal
Apply the associative, commutative, and distributive properties to calculate products mentally and verify equations.
Featured Diagrams
Grouping Numbers When Adding
5 lessons
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- 1Grouping Numbers When AddingUp nextStart
- 2Multiplying Three Numbers Mentally Using AssociativityPremiumNot started yet
- 3Breaking Apart Arrays to MultiplyNot started yet
- 4Breaking Apart Numbers to Multiply MentallyNot started yet
- 5Breaking Apart to Find Missing NumbersNot started yet
Standards Covered
- OGM.3.OA.6Open Global Math Standards 2026™ · Math · Level 3 / Grade 2 (Age 7) · Grade 2Understand and apply operational properties: commutative and associative properties of addition, commutativity of multiplication, non-commutativity of subtraction and division, and inverse relationships (addition/subtraction and multiplication/division) to verify computations and solve equations.
- OGM.3.OA.5Open Global Math Standards 2026™ · Math · Level 3 / Grade 2 (Age 7) · Grade 2Recall and derive basic multiplication facts for 2, 3, 4, 5, 8, and 10 and their related division facts; multiply by 10 and 100; apply the distributive property of multiplication over addition mentally for teen numbers (e.g., 14 × 3 = 10 × 3 + 4 × 3).
Curriculum Framework
2nd Grade · Math · Open Global Math
1
7 lessons
Mental Addition and Subtraction Fluency Within 20
Master mental math strategies and achieve automatic recall for all addition and subtraction facts within 20.
2
5 lessons
Odd and Even Numbers: Pairing, Doubles, and Halves
Identify, analyze, and justify odd and even numbers up to 100 using pairings, equal sharing, and doubles.
3
6 lessons
One-Step and Two-Step Addition and Subtraction Word Problems
Model and solve complex one- and two-step word problems within 100 and 1,000 using bar models and algebraic equations.
4
6 lessons
Foundations of Multiplication: Equal Groups and Arrays
Build conceptual understanding of multiplication as equal groups, repeated addition, and rectangular arrays.
5
6 lessons
Foundations of Division: Equal Sharing and Grouping
Understand division as fair sharing (partitive) and repeated grouping (quotative), writing formal division equations.
6
5 lessons
Multiplication and Division Facts for 2, 5, and 10
Build fluency and rapid recall for multiplication and division facts involving 2, 5, and 10.
7
5 lessons
Multiplication and Division Facts for 3, 4, and 8
Derive and recall multiplication and division facts for 3, 4, and 8 using doubling and distributive strategies.
8
5 lessons
Properties of Operations and Mental Multiplication
Apply the associative, commutative, and distributive properties to calculate products mentally and verify equations.
9
4 lessons
Multiplying by Tens and Hundreds
Multiply single-digit whole numbers by multiples of 10 and 100 using base-ten place value strategies.
10
6 lessons
Multi-Step Mixed Operation Word Problems
Deconstruct, represent, and solve two- and three-step word problems involving all four operations.
11
5 lessons
Rates, Multiplicative Comparisons, and Cartesian Products
Model and solve problems involving constant unit rates, multiplicative comparisons (times as many), and combinations.
12
6 lessons
Patterns, Sequences, and Function Tables
Identify, extend, describe, and find missing elements in numerical, geometric, and input-output table patterns.