Public learning track
Understanding Addition: Joining and Combining
Kindergarten · Math · Open Global Math
7 lessons
Goal
Represent and understand addition as joining groups, combining sets, and increasing quantities using concrete materials, fingers, sounds, and balance models.
Featured Diagrams
Acting Out Addition Stories with Real Objects
7 lessons
0 of 7 done
- 1Acting Out Addition Stories with Real ObjectsUp nextStart
- 2Representing Addition with Fingers and GesturesPremiumNot started yet
- 3Joining Groups with Counters and CubesNot started yet
- 4Drawing Pictures to Show Adding MoreNot started yet
- 5Listening and Counting: Addition with SoundsNot started yet
- 6Balancing Quantities on a Pan BalanceNot started yet
- 7Recording Solutions with Drawings, Tallies, and EquationsNot started yet
Standards Covered
- OGM.1.OA.1Open Global Math Standards 2026™ · Math · Level 1 / Kindergarten (Age 5) · KindergartenRepresent addition as joining/increasing and subtraction as separating/taking away/comparing, using physical materials, fingers, drawings, sounds, acting out, and balance models.
- OGM.1.OA.6Open Global Math Standards 2026™ · Math · Level 1 / Kindergarten (Age 5) · KindergartenExpress mathematical relationships and operations symbolically using +, -, and =; understand the zero property (n ± 0 = n), commutativity of addition (a + b = b + a), associativity, inverse relationships between addition and subtraction, and determine missing quantities represented by shapes or symbols (e.g., a + [ ] = c).
Curriculum Framework
Kindergarten · Math · Open Global Math
1
7 lessons
Understanding Addition: Joining and Combining
Represent and understand addition as joining groups, combining sets, and increasing quantities using concrete materials, fingers, sounds, and balance models.
2
7 lessons
Understanding Subtraction: Separating and Comparing
Understand and model subtraction as taking away, separating subsets, and finding the difference between two quantities.
3
7 lessons
Part-Part-Whole and Number Decompositions to 10
Decompose numbers up to 10 into pairs in multiple ways using objects, visual diagrams, and equations.
4
8 lessons
Making Ten: Complements and Ten-Frames
Find the missing complement to make 10 for any number 1 to 9 using ten-frames, counters, and mental strategies.
5
6 lessons
Addition and Subtraction Fluency Within 5
Fluently add and subtract within 5 with automaticity and flexibility.
6
7 lessons
Addition Strategies and Facts Within 10 and 20
Develop strategic reasoning and recall addition facts within 10 and 20 using counting on, doubles, near doubles, and making ten.
7
7 lessons
Subtraction Strategies and Facts Within 10 and 20
Develop flexible subtraction strategies including counting back, think-addition, and subtracting through ten within 20.
8
8 lessons
Properties, Equations, and Algebraic Thinking
Understand symbols (+, -, =), arithmetic properties (zero, commutativity, associativity), and find missing numbers in equations.
9
9 lessons
Word Problems and Contextual Problem Solving
Solve a variety of contextual addition and subtraction word problems within 10, 20, and introductory contexts to 100 using multiple models.
10
9 lessons
Repeating and Growing Patterns
Identify, describe, copy, extend, and create repeating and growing patterns using colors, shapes, sounds, movements, and numbers.