All things Kindergarten Math
Unit 3- Foundations of Number 6-10 and counting to 60
This unit bundles student expectations that address the foundational skills for developing an understanding of numbers 0 – 10, counting forward and backward 1 – 10,
cardinality, subitizing, conservation of set, comparing numbers and sets of objects using comparative language, and generating numbers or sets of objects less than or greater
than a given amount. This unit also includes the student expectation that addresses reciting numbers up to 60 by ones beginning with any number. In Unit 1, students began to investigate the foundational skills for understanding and using numbers from 0 to 5 and recited numbers up to 30 by ones beginning with any given number.
During this unit, students are introduced to the numbers 6 – 10. They use sets of objects up to 10 to further develop an understanding of the concepts of cardinality, meaning
that the last number said when counting a set of objects names the number of objects, hierarchical inclusion, meaning each prior number in the counting sequence is included
in the set as the set increases, and conservation of set, meaning if the same number of objects are counted and then rearranged, the quantity of objects in the set does not
change. Students apply cardinality, hierarchical inclusion, and conservation of set as they continue to explore the true meaning of numbers. Students count forward and
backward to 10 with and without objects, as well as read, write, and represent the numbers. Students also compose and decompose numbers up to 10 using objects and
pictures which parallels the development of subitizing, meaning instantly recognizing the number being represented by a small quantity of objects in random and organized
arrangements. Students apply all of these skills as they consider magnitude, or relative size, to compare sets of objects up to 10 and generate a set of objects and pictures
that is more than, less than, or equal to a given number. Students use comparative language to describe the comparison of numbers represented using objects, pictures, or
numerals. When given a number up to 10, students are expected to generate a number that is one more than or one less than a given number. Along with the investigation of
number and quantity, students are expected to recite numbers up to 60 by ones beginning with any number. Practice with rote reciting of numbers and learning the correct sequence of numbers aids in developing the foundation for meaningful counting strategies.