Operations and Algebraic Thinking

Work with equal groups of objects to gain foundations for multiplication.

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Resource | Resource Type Grade Level | Rating |
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This one-page article describes and illustrates how arrays can be used to represent many number concepts, including building multiplication facts, commutativity, parity (odd/even), and exploring factors, prime numbers, and square numbers. | Instructional Strategy, Reference Materials, Article Grade Level: 1, 2, 3, 4, 5 Resource is part of a PD collection | |

This problem provides an opportunity for students to practice counting and to represent and record findings in different ways: "Noah saw 12 legs walk by into the Ark. How many creatures did he see?" Multiple solution possibilities encourage students to be systematic in their strategies. The Teachers' Notes page offers suggestions for implementation, discussion questions, and an idea for extension. | Activity Grade Level: K, 1, 2, 3 | |

Students can use this interactive Flash applet to practice identifying odd and even numbers. The applet displays a Venn diagram with two loops and a set of number tiles. Users sort the numbers into the correct loops with regard to parity and then check their work. Users can choose to sort numbers in three ranges: 1 to 10, 1 to 30, or 1-100. | Activity, Interactive Media Grade Level: K, 1, 2 | |

In this problem students practice counting by twos as they explore the natural phenomenon that legs on creatures always come in pairs, laying the foundation for doubling and halving. A set of cards can be downloaded (pdf) and matched. The Teachers' Notes page offers suggestions for implementation, discussion questions, ideas for extension and support, an expanded set of cards (pdf), and links to related activities (Noah and Number Tracks, both cataloged separately). | Activity Grade Level: K, 1, 2 | |

This web page contains links to a video and several downloadable pdf files documenting the discussions of a third grade class investigating even and odd numbers. Included are a 10-minute Blue Stream video segment in which students discuss a classmate's suggestion that the number 6 could be even or odd, a document providing background information on the investigation that led to the discussion, a transcript of the video, and the teacher's journal entry reflecting on the discussion and its implications. | Activity, Demonstration, Video Grade Level: 2, 3, 4, 5 | |

This page provides examples of Second Grade Number (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: 2 | |

This interactive Flash applet helps students develop number sense and basic number concepts. Players attempt to guess the wizard's number by clicking on dragons to get clues related to the number of digits, a more/less comparison with a benchmark, rounding, how far it is to the next ten, comparison of tens and units, and parity. Clicking on the wizard opens a keypad on which to type the secret number. A version covering numbers 0-1000 is cataloged separately. | Activity, Interactive Media Grade Level: 1, 2, 3 | |

This interactive Flash applet helps students develop number sense and basic number concepts. Players attempt to guess the wizard's number by clicking on dragons to get clues related to the digit sum, a more/less range comparison, rounding, how far it is to the next hundred, comparison of tens and units, the number of units, and parity. Clicking on the wizard opens a keypad on which to type the secret number. A version covering numbers 0-100 is cataloged separately. | Activity, Interactive Media Grade Level: 2, 3, 4, 5 |