Operations and Algebraic Thinking

Represent and solve problems involving multiplication and division.

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Resource | Resource Type Grade Level | Rating |
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This Illumination activity focuses on analyzing the scores for football games. Students study combinations of numbers to produce possible scores for football games. The lesson includes a student worksheet and extension questions. | Activity, Lesson Plans Grade Level: 3, 4, 5 | |

This problem introduces repeated doubling in the context of a plant with branches that split into 2 more branches every week. The problem lays the foundation for understanding exponential growth and lends itself to a variety of representations. The Teachers' Notes page offers rationale, suggestions for implementation, discussion questions, and ideas for extension and support. | Activity Grade Level: 2, 3, 4, 5 | |

This interactive Flash book of poems by Greg Tang and pictures by Harry Briggs helps children master their times tables through a deeper, more intuitive understanding of multiplication instead of memorization. Students use partial products to multiply larger numbers, first breaking them into smaller, more manageable parts. After reading the poem and examples, learners can test themselves by applying the strategies to a series of 3-5 challenges. | Interactive Media, Problem Set, Illustration, Video Grade Level: 3, 4, 5 | |

Students can use this interactive Java applet to explore multiplication, the distributive property, prime vs composite, square numbers, and more. Users fill in squares and draw rectangles on a 10 x 10 grid with 10 possible colors to use. Use the quick tour to get started. | Activity, Interactive Media Grade Level: 2, 3, 4, 5 | |

This page provides examples of Third Grade Number (Operations and Algebraic Thinking, Number and Operations in Base Ten, and Number Operations-Fractions) 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: 3 | |

This series of 6 postings on the Let's Play Math blog contains a variety of strategies for helping students learn multiplication facts. After establishing her point of view, the author reviews various meanings and models of multiplication, and then suggests a sequence of methods that take advantage of patterns, number sense, and operation properties. There are numerous links to other websites with helpful ideas. | Activity, Instructional Strategy, Community Grade Level: 3, 4, 5 Resource is part of a PD collection | |

In this iOS app users try to rescue the Wuzzits by unlocking their cages using the gears provided. The game requires logic and problem solving combined with the composition and decomposition of numbers. The game includes seventy-five different puzzles and rewards the players with points for fewest moves. | Game Grade Level: 3, 4, 5, 6+ |