
Public learning track
Number Patterns and Input-Output Rules
3rd Grade · Math · Open Global Math
8 lessons
Goal
Identify, extend, and generate arithmetic and geometric patterns, and formulate verbal rules for input-output tables.
Featured Diagrams
Generating and Extending Arithmetic Patterns
8 lessons
0 of 8 done
- 1Generating and Extending Arithmetic PatternsUp nextStart
- 2Generating and Extending Geometric PatternsPremiumNot started yet
- 3Exploring Patterns in Multiplication TablesNot started yet
- 4Input-Output Tables with Multiplication RulesNot started yet
- 5Input-Output Tables with Division RulesNot started yet
- 6Input-Output Tables with Two-Step RulesNot started yet
- 7Representing Patterns as Ordered Number PairsNot started yet
- 8Formulating Verbal Rules and Step-by-Step AlgorithmsNot started yet
Standards Covered
- OGM.4.OA.7Open Global Math Standards 2026™ · Math · Level 4 / Grade 3 (Age 8) · Grade 3Identify, describe, extend, and generate arithmetic and geometric patterns (including addition and multiplication tables, input-output tables, and step-by-step algorithms); represent relationships using number pairs and verbal rules.
- OGM.4.OA.3Open Global Math Standards 2026™ · Math · Level 4 / Grade 3 (Age 8) · Grade 3Recall and demonstrate automaticity with multiplication facts up to 10 × 10 (especially tables for 2, 3, 4, 5, 8, and 10) and relate them to corresponding division facts; identify odd and even numbers using divisibility.
Curriculum Framework
3rd Grade · Math · Open Global Math
1
8 lessons
Understanding Multiplication Models and Comparisons
Understand multiplication conceptually through equal groups, arrays, number lines, repeated addition, and multiplicative comparison.
2
7 lessons
Understanding Division Models and Sharing
Master fair-share partitioning, measurement grouping, and visual models of whole-number division.
3
9 lessons
Multiplication and Division Facts Fluency
Achieve automatic recall of multiplication and division facts through 10 × 10 and apply parity rules.
4
6 lessons
Properties of Multiplication and Division
Apply the commutative, associative, and distributive properties to multiply, divide, and simplify calculations.
5
6 lessons
Algebraic Equations and Unknown Values
Find unknown values represented by symbols, boxes, and letters in multi-term equations across all four operations.
6
9 lessons
Multi-Operation Word Problems and Modeling
Formulate and solve one-step and two-step contextual word problems using all four operations, visual diagrams, and equations.
7
8 lessons
Number Patterns and Input-Output Rules
Identify, extend, and generate arithmetic and geometric patterns, and formulate verbal rules for input-output tables.