Common Core: Counting and Cardinality
As set out by the National Governors Association (NGA) and the Council of Chief State School Officers (CCSSO) in the Common Core State Standards Initiative. For more information, please visit the Counting and Cardinality domain at the Common Core State Standards website.
Series: Ideas at Work
Ideas for Counting During Primary Math Activities
January 13, 2016
Counting is a complex task that is often taken for granted. As described in the Collaborative's book Big Ideas in Early Mathematics, there are two different types: rote counting and rational counting. While both are useful, "when young children develop rational counting skills they are armed with a tool that enables them to understand the concept of numerosity, to compare quantities of different sets, and eventually to engage in operations."
- Topic: Counting
- Age/Grade Level: Pre-K, Kindergarten, 1st Grade
Series: Focus on the Child August 13, 2015
Using Number Paths with Child 7
A student counts backwards and forwards on a number line with hidden digits.
- Topic: Counting
- Age/Grade Level: Pre-K, Kindergarten
- Tags English Language Learner, Child 7
Series: Focus on the Child June 11, 2015
Sorting Rocks with Child 31
A student organizes rocks into different groups based on their unique characteristics.
- Topic: Sets
- Age/Grade Level: Pre-K, Kindergarten
- Tags Child 31, Nature
Series: Focus on the Child June 11, 2015
Sorting Rocks with Child 14
A kindergarten student organizes a collection of rocks into unique sets. Simple questions can result in explorations in core math concepts such as grouping. In this case, some very unusual groups are created.
- Topic: Sets
- Age/Grade Level: Pre-K, Kindergarten
- Tags English Language Learner, Child 14, Nature
Series: Focus on the Child June 11, 2015
Sorting Commercial Manipulatives with Child 33
A child makes different groups out of a collection of keys.
- Topic: Sets
- Age/Grade Level: Pre-K, Kindergarten
- Tags Child 33
Series: Focus on the Lesson June 11, 2015
People Sort
Children sort and re-sort each other, based on various attributes. This activity involves an open sort in which the categories can include a wide range of attributes that must be identified and described by the…
- Topic: Sets
- Age/Grade Level: Pre-K, Kindergarten
- Tags English Language Learner, Play, Books, Emily Jenkins, Five Creatures
Series: Focus on the Child June 11, 2015
Comparing Quantity with Child 4
A child compares two small sets of wooden cubes.
- Topic: Number Sense
- Age/Grade Level: Pre-K, Kindergarten
- Tags English Language Learner, Comparing, Gesture, Child 4
Series: Focus on the Child June 11, 2015
Recognizing Quantity with Child 1
A child selects a card with a given number of dots.
- Topic: Number Sense
- Age/Grade Level: Pre-K, Kindergarten
- Tags Subitizing, Child 1
Series: Focus on the Child June 11, 2015
Matching Quantity with Child 3
A child produces a small set of counters to match a shown quantity.
- Topic: Number Sense
- Age/Grade Level: Pre-K
- Tags Subitizing, Child 3
Series: Focus on the Child June 11, 2015
Estimating Quantity with Child 3
A student approximates the number of cubes in collections of increasing quantity.
- Topic: Number Sense
- Age/Grade Level: Pre-K, Kindergarten
- Tags Estimation, Unifix Cubes, Comparing, Child 3
Do the math.
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