Operations and Algebraic Thinking

Add and subtract within 20.

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Resource | Resource Type Grade Level | Rating |
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This interactive online game for one or two players provides practice with number facts and builds strategic thinking and pattern discovery. Players choose an operation (addition, subtraction or multiplication) and 100 problems appear in a 10 by 10 grid. They then select problems that match given target numbers while attempting to get 5 in a row in the grid. Users have the option of working for 3 in a row on a 5 by 5 board, and of turning the sound off. This game is a good balance of skill and luck. | Activity, Game, Interactive Media Grade Level: 1, 2, 3, 4, 5 | |

In this article the author describes how the book, “Room on the Broom” by Julia Donaldson and Axel Scheffler can be the focus of mathematical reasoning. As each new character is invited to sit on the broom everyone on the broom is faced with the question, ”Is there room for me?” The article includes a lesson plan idea from one first grade teacher who assigned weights to each of the animals and a maximum weight for the broom. Included in this resource is a link to the book website and a PDF of animal cards to utilize with the lesson. | Activity, Lesson Plans, Reference Materials, Article Grade Level: K, 1, 2 | |

This problem uses linking cubes as a concrete context for exploring simple multiplication and division, doubling, halves and quarters. The problem displays a rod of 4 cubes and asks students how many cubes are necessary to make rods related to it in a variety of ways. It can be used to introduce key concepts and vocabulary. The Teachers' Notes page offers suggestions for implementation, discussion questions, and ideas for extension and support. | Activity Grade Level: 1, 2 | |

In this lesson students find and record addends that sum to ten in three different activities, using ten frames, linking cubes, two-sided counters, and a concentration game. The lesson includes suggestions for assessment and extension, reflection questions for students and teachers, links to related resources, and printable materials (pdf). | Activity, Game, Interactive Media, Lesson Plans Grade Level: K, 1, 2 | |

This activity uses Cuisenaire Rods to develop flexibility and fluency with addition facts and to encourage systematic thinking. Several different challenges are posed, all involving making equivalent trains using a given number of rods of different colors. An interactive Flash Cuisenaire applet is provided as an alternative to using real rods. The Teachers' Notes page offers suggestions for implementation, discussion questions, ideas for extension and support, and a link to a related activity, Cuisenaire Counting (cataloged separately). | Activity, Interactive Media Grade Level: 1, 2 | |

This document provides descriptions and examples of what each Mathematics Common Core standard means a Grade One 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: 1 | |

This iOS app displays math expressions and solutions on the edges of 25 squares. The user must organize the squares so that each expression matches with its solution. The user may choose between addition, subtraction, addition & subtraction, multiplication, division, or multiplication & division. There are increasing levels of difficulties within each topic. | Activity, Interactive Media, Mobile App Grade Level: 1, 2, 3, 4, 5 | |

This sample constructed response problem for K-2 students provides an opportunity to analyze patterns and develop algebraic thinking in the context of plant growth. It includes suggestions for adjusting the challenge level and a task-specific rubric with annotated samples of student work at each level. Free registration allows users to download a 9-page print-friendly version (pdf). | Assessment, Activity Grade Level: K, 1, 2 | |

This 3-page document (pdf) offers numerous strategies that children can use to perform addition, subtraction, and multiplication mentally. These strategies help develop fact fluency, number sense, operation sense, and use of patterns. | Instructional Strategy Grade Level: K, 1, 2, 3, 4 Resource is part of a PD collection | |

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 |