Operations and Algebraic Thinking

Work with addition and subtraction equations.

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Resource | Resource Type Grade Level | Rating |
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With this interactive applet students can develop their understanding of place value and the relative position and magnitude of numbers in the base-10 number system. Users drag given numbers to their position on a number line, zooming in and out to increase precision. They can select from six levels of difficulty (Tens, Hundreds, Thousands, Millions, Billions, Decimals) and from 1 to 3 dots. There are three modes: Explore, Practice, Test. | Activity, Interactive Media Grade Level: 1, 2, 3, 4, 5 | |

This packet of information for teachers is designed to be used with the How Many Berries Did I Eat? Problem of the Week from the Math Forum collection for grades K to 2. The sample problem provides an exemplar of the type of problem teachers can use to promote students' mathematical thinking and reasoning and engage their interest. The key concept addressed in this problem is subtraction. The packet contains the sample problem, alignment to the Common Core State Standards, possible solutions, teaching suggestions, a print-ready copy of the problem, and a problem-specific scoring rubric. | Assessment, Activity, Instructional Strategy, Instructor Guide/Manual, Reference Materials Grade Level: K, 1, 2 | |

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 free iOS app provides activities for young children to develop skills in writing numerals, counting, addition, ordering, patterns, parity, algebraic thinking, and problem solving. | Activity, Interactive Media, Mobile App Grade Level: K, 1 | |

This interactive activity helps a user understand that one concept of subtraction is finding a missing addend. In each scenario, there is a given number of animals and some of them leave or hide, and the student must select the number from four choices that are missing based on knowing how many animals are still there. If a correct response is given, then the family of facts are provided and if an incorrect response is made, there is positive instructional feedback provided. | Activity, Interactive Media Grade Level: K, 1, 2 | |

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 | |

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 | |

This interactive Flash applet contains a progressive range of exercises to sharpen mental math and recall of number facts. Levels include one-digit addition and subtraction within 20, two-digit addition and subtraction within 100, and multiplication up to x5 and x10. The goal is to complete 10 correctly as quickly as possible. An incorrect answer deletes a point, discouraging guessing. At the end of each round the applet reports the time taken and the number of errors. | Activity, Interactive Media Grade Level: 1, 2, 3, 4 | |

This webpage from the state of Victoria, Australia, discusses the importance of students understanding the meaning of the equals sign in number sentences. It illustrates common misconceptions and their causes and proposes strategies and activities that help teach and reinforce equality concepts. Downloadable game cards (pdf) and a student worksheet (doc) are available. The page includes a list of references and a link to a page defining stages and indicators in the progression of developing these concepts. | Activity, Reference Materials, Article Grade Level: 1, 2, 3 Resource is part of a PD collection |

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