Operations and Algebraic Thinking

Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

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This website, devoted to early numeracy skills, includes links to Happy Numbers teacher accounts, student accounts, and blog. A free teacher account provides access to applets that develop conceptual understanding and procedural fluency. The applets are compatible with interactive whiteboards and tablets. With a subscription teachers can create student accounts and individualize assignments. The blog posts further explain how to utilize these applets in the classroom. | Activity, Interactive Media, Community Grade Level: K, 1, 2 | |

This 42-page pdf document demonstrates the connections between the CCSS content standards and the mathematical practice standards. It is a compilation of research, standards from several states, instructional strategies, common misconceptions, and examples for each standard at the Kindergarten level. It is intended to help teachers understand what each standard means in terms of what students must know and be able to do. Additional flip books are cataloged separately for grades 1-5. | Instructional Strategy, Reference Materials Grade Level: K | |

This page provides examples of Kindergarten Number (Counting and Cardinality, Operations and Algebraic Thinking, and Number and Operations in Base Ten) activities aligned with the Common Core State Standards. A CCSS standard is stated and the possible activities are listed below and linked. All activities are suitable for use in Math Centers, small group or whole class settings and are designed to elicit a range of responses and provide opportunities for students to communicate their reasoning and mathematical thinking. Instructions for each task are typed in large print and written in child-friendly language to enable students to work on activities independently after a brief introduction to the task. All files listed are in PDF format. | Activity, Game Grade Level: K | |

This document provides descriptions and examples of what each Mathematics Common Core standard means a Kindergarten student will know, understand and be able to do. This "unpacking" of the standards provides instructional guidelines and was developed to assist North Carolina educators teach the Mathematics Common Core (Standard Course of Study). | Reference Materials Grade Level: K | |

This site features nine Mixing-in-Math fast-paced card games that bring together arithmetic, probability, strategic thinking and logical reasoning. "Capture Cards" and "Ask Me" were designed especially for children just learning to count, compare, and add numbers. Each card game lists the goal, appropriate grade level, number of players and instructions. Players can use regular playing cards or Mixing in Math card decks can be purchased. | Activity, Game Grade Level: K, 1, 2, 3, 4, 5 | |

This is a collection of simple interactive activities to help young children practice early number skills. They use visual representations to develop counting and subitizing skills, number sense, place value concepts, and basic whole number operations (addition, subtraction, doubling). A teacher page summarizes the purpose and functions of each activity. | Activity, Interactive Media Grade Level: Pre-K, K, 1, 2 | |

This interactive Flash applet provides a virtual environment in which students can explore the concept of weight/mass. They place virtual teddy bears on a pan scale to determine their weights. The bears weigh from 1 to 4 units and can be placed on the scale individually or in groups. The activity lends itself to mental addition and subtraction with values less than or equal to ten. | Activity, Interactive Media Grade Level: K, 1 | |

Students can use this interactive applet to practice quick recognition of the number or value of a small group of objects, without one-to-one counting. This skill, called subitizing, is important in the development of number sense. The user chooses among several representations, including fingers, a pair of dice, an abacus, a ten frame, and coins. In this version of the game an adjustable timer determines how long each group is visible. The applet keeps score of the number correct in each round of ten attempts. | Activity, Game, Interactive Media Grade Level: K, 1, 2 | |

Students can use this interactive applet to practice quick recognition of the number or value of a small group of objects, without one-to-one counting. This skill, called subitizing, is important in the development of number sense. The user chooses among several representations, including fingers, a pair of dice, an abacus, a ten frame, and coins. In this version of the game users score points according to how quickly and accurately they complete each round of ten examples. | Activity, Game, Interactive Media Grade Level: K, 1, 2 | |

The characters in this free iOS app model effective strategies for learning addition facts (counting, counting on, near doubles, tens). During the tool round children develop conceptual understanding as they practice using these strategies. The speed round develops fact fluency and encourages memorization, providing hints as needed. Controls allow teachers to setup a class and adjust difficulty settings. | Interactive Media, Mobile App Grade Level: K, 1, 2 |