Operations and Algebraic Thinking

Add and subtract within 20.

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Resource | Resource Type Grade Level | Rating |
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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 | |

In this article Regina G. Richards presents several strategies to help struggling students learn new math concepts. Richards presents six strategies in which students understand word parts, make connections to the topics prior to learning the new material, use kinesthetic strategies for remembering facts and completing computations. | Reference Materials, Article Grade Level: K, 1, 2, 3, 4, 5 | |

This game for two players provides students with practice in whole number addition and subtraction while developing strategic thinking. It is played on paper on a 0-20 number line. Player 1 crosses off two numbers and circles either their sum or difference. In each successive turn players cross off the last circled number and one of their choice, and then circle the sum or difference. The player who makes the last possible move wins. The game also may be played co-operatively. The Teachers' Notes page offers suggestions for introducing the game, discussion questions, and extension ideas. | Activity, Game Grade Level: 1, 2, 3, 4, 5 | |

This simple game for two players develops fact fluency. A counter is placed on the center space of a track that is 17 spaces long. Each player begins the game with 6 cards numbered 1 through 6. At each turn both players reveal a card simultaneously. The player with the higher card moves the counter in the opponent's direction on the track a number of spaces equal to the product of the smaller card value and the difference between the card values. The goal is to move the counter off the opponent's end of the track, or to end up in the opponent's half after six turns. To vary the game a zero card may added to the initial allocation. | Activity, Game Grade Level: 2, 3 | |

These videos focus on specific standards and include examples/illustrations geared to clarify the meaning of the individual standard rather than to be a guide on how to teach it. There is an introductory video for the collection; the videos are organized by grade level and can be downloaded as well as viewed online. | Instructional Strategy, Reference Materials, Video Grade Level: K, 1, 2, 3, 4, 5 | |

These activites are designed to be done in part or whole each day throughout baseball season in your classroom. Each activity includes students keeping track of the wins and losses of your local baseball team. As a class they will be looking for patterns, ways to read data easier: ten frames or tallies, and addition or subtraction sentences that can be made of the data. The resource includes 3 worksheets for data collection, assessment options, and discussion questions. | Activity, Lesson Plans Grade Level: Pre-K, K, 1 | |

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 | |

Students can use this interactive Flash applet to practice subitizing and counting groups of objects, to develop awareness of our base-10 number system, and to learn basic addition facts. In the four included games students construct groups of 10 objects, add groups of objects within 20, and identify and record numbers within 20. Auditory prompts support students with limited reading ability. | Activity, Interactive Media Grade Level: K, 1 | |

This game helps children develop concepts and fluency in addition and subtraction within 15. Students indicate the correct answer to a displayed problem by clicking on the appropriately numbered person in a number line. Audio and visual cues help reinforce counting on and back, as well as the meaning and effects of the operations. The resource includes links to printable worksheets and useful information and activities for teachers and parents. | Activity, Instructional Strategy, Interactive Media Grade Level: K, 1, 2 |