Counting and Cardinality

Know number names and the count sequence.

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This FAQ page from the Teacher2Teacher service at The Math Forum @ Drexel contains links to many resources offering ideas for celebrating the 100th Day of School. Resources include T2T discussions, children's literature, teacher resource books, and web sites. | Activity, Lesson Plans, Reference Materials, Community Grade Level: K, 1, 2 | |

In this 8-minute video kindergarten teacher Karen Lassiter models a lesson designed to help children understand place value with the numbers 11-19. She explains her use of a 10-frame in developing understanding of counting on, addition, and notation. The resource includes reflection questions for viewers, a transcript of the video (doc), and a lesson plan (pdf). | Instructional Strategy, Video Grade Level: K, 1 | |

This interactive 100 grid has a variety of open-ended uses. Users can "make" as many counters as they choose from among three different kinds, and then drag them onto the grid, allowing any number to be covered by up to 3 different markers at one time. An Ideas page offers possible tasks and games suited to the applet. | Activity, Interactive Media Grade Level: K, 1, 2, 3, 4, 5 | |

This webpage discusses the extension of children's counting skills beyond 10. It illustrates the difficulties resulting from the irregularity of English number names in the teens as well as the challenge of maintaining one-to-one correspondence with larger numbers. Several teaching strategies and activities are suggested to help students overcome these difficulties. | Activity, Instructional Strategy, Reference Materials, Article Grade Level: Pre-K, K, 1 | |

In this 5-minute video Laura Domalik defines number sense and provides instructional strategies for counting and vocabulary, including counting on, counting back, one more than (+1), one less than (-1), basic fact concepts of +1 and -1, and missing addends. She demonstrates a game called Garbage, which can be played alone or with a partner. | Activity, Game, Instructional Strategy, Video Grade Level: K, 1, 2 | |

In this 6-lesson unit, students use dominoes to explore four models of addition: counting, number line, sets, and balanced equations. They learn about the commutative property, the relation between addition and subtraction, the result of adding 0, and the concept of doubles. Students write story problems which involve the operation of addition and begin to memorize the addition facts. They represent addition in pictures. The various models of addition help students develop a rich conceptual schema for addition. Included are a Bibliography of Counting Books, student materials, questions for student and teacher reflection, assessment and extension ideas. [Suggestion: Use the alternate applet, Pan Balance - Numbers, listed as a Related Resource, rather than Pan Balance - Shapes, in Lesson 4.] | Activity, Game, Lesson Plans, Unit of Instruction Grade Level: K, 1, 2 | |

This 37-page pdf provides background information and teaching activities for developing young children's number sense. The document includes instructions and printable materials for using dot cards, five frames, and ten frames. | Activity, Game, Instructional Strategy, Lesson Plans Grade Level: Pre-K, K, 1 | |

This narrative document describes the progression of Counting and Cardinality and Operations and Algebraic Thinking across the K-5 grade band. It is informed both by research on children's cognitive development and by the logical structure of mathematics. The document discusses the most important goals for elementary students that of understanding and using numbers. The focus is on the basic operations—the kinds of quantitative relationships they model and consequently the kinds of problems they can be used to solve as well as their mathematical properties and relationships. | Reference Materials, Article Grade Level: K, 1, 2, 3, 4, 5 | |

Students can use this interactive Flash applet to practice subitizing and counting groups of objects, to understand the importance of 5 in our base-10 number system, and to learn basic addition facts. In the four included games students construct groups of 5 objects, add groups of objects within 10, and identify and record numbers within 10. Auditory prompts support students with limited reading ability. | Activity, Interactive Media Grade Level: K, 1 | |

This interactive Flash applet provides a classroom display for demonstrating additions using the fingers on a pair of hands. It is useful for those just learning the sums from 5 and up. | Demonstration, Interactive Media Grade Level: Pre-K, K |