Public learning track
Counting Principles and Spatial Arrangements to 20
Kindergarten · Math · Open Global Math
14 lessons
Goal
Count, quantify, and construct collections of up to 20 objects in diverse arrangements using one-to-one correspondence, cardinality, conservation, and hierarchical inclusion.
Featured Diagrams
One-to-One Correspondence: Touch and Count Up to 5
14 lessons
0 of 14 done
- 1One-to-One Correspondence: Touch and Count Up to 5Up nextStart
- 2Counting Left or Right Gives the Same TotalPremiumNot started yet
- 3Spreading Things Out Doesnt Change the CountNot started yet
- 4Touch and Count Objects in a Straight Line from 6 to 10Not started yet
- 5Counting Objects in Rectangular Arrays Up to 10Not started yet
- 6Counting Objects in Circular Configurations to 10Not started yet
- 7Counting Scattered Configurations Up to 10Not started yet
- 8Producing a Set: 'Give Me a Specific Number of Items' from 6 to 10Not started yet
- 9Moving Things Around Doesnt Change the CountNot started yet
- 10Order Irrelevance in Counting Sets Up to 10Not started yet
- 11Understanding That Numbers Contain Smaller NumbersNot started yet
- 12Counting and Producing Collections from 11 to 15Not started yet
- 13Counting and Producing Collections from 16 to 20Not started yet
- 14Moving Up to 20 Things Doesnt Change the CountNot started yet
Standards Covered
- OGM.1.CC.3Open Global Math Standards 2026™ · Math · Level 1 / Kindergarten (Age 5) · KindergartenApply the principles of one-to-one correspondence, cardinality, conservation, and hierarchical inclusion to count, quantify, and produce collections of up to 20 objects in lines, arrays, circles, and scattered configurations.
- OGM.1.CC.1Open Global Math Standards 2026™ · Math · Level 1 / Kindergarten (Age 5) · KindergartenCount orally forward by ones and tens up to 100, and count backward from 20 to 0, demonstrating stable order, order irrelevance, and starting from any given number within the sequence.
Curriculum Framework
Kindergarten · Math · Open Global Math
1
7 lessons
Perceptual and Conceptual Subitizing to 10
Instantly recognize small quantities up to 5 and compose larger quantities up to 10 using dot cards, five-frames, and ten-frames without counting one by one.
2
14 lessons
Counting Principles and Spatial Arrangements to 20
Count, quantify, and construct collections of up to 20 objects in diverse arrangements using one-to-one correspondence, cardinality, conservation, and hierarchical inclusion.
3
10 lessons
Reading, Writing, and Representing Numerals 0 to 20
Read, write, and represent numerals 0 through 20 with physical manipulatives, drawings, zero as empty sets, and positions on a number line.
4
11 lessons
Oral Counting Sequences and Patterns to 100
Recite forward oral counting sequences by ones and tens up to 100, count backward from 20 to 0, and count forward from any starting number.
5
11 lessons
Comparing Quantities and Numerals to 20
Compare sets of objects up to 20 and numerals 1 to 10 using one-to-one matching, counting strategies, and comparative language.
6
10 lessons
Skip-Counting by 2s, 5s, and 10s with Groups and Coins
Skip count forward by 2s to 20, and by 5s and 10s to 100, connecting skip counting patterns to paired items, nickel/dime coin values, and bundle groups.