Standards for Mathematical Practice

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In this 5-lesson unit primary students identify attributes of buttons and other objects in their classrooms. Throughout the unit students learn to collect data about objects, display the data (Venn diagrams, pictographs, and bar graphs), and analyze the data to determine what this tells us about buttons and/or other objects. Each of the five lesson plans includes necessary student/class worksheets, questions for students, extension ideas, and assessment ideas. Lessons 2 and 3 reference stories that are an important part of the skill development: "The Button Box" by Margarette Reid and "The Elves and the Shoemaker" story. | Lesson Plans, Unit of Instruction Grade Level: K, 1, 2 | |

This blog entry explains how to hold students accountable for their work on a mobile device by using two apps together. The apps talked about in this post are Educreations and Geoboard which are both cataloged separately. | Instructional Strategy, Community Grade Level: 3, 4, 5 | |

This 8-page monograph offers strategies for effective questioning that engages students and that deepens their conceptual understanding in mathematics. It suggests questions and prompts that help students progress through various stages of the problem solving process and that help teachers assess the thinking of students. The article describes the purposes of questions at different stages of a lesson and describes situations when it is appropriate to convey information to students. A list of references is included. | Instructional Strategy, Reference Materials, Article Grade Level: K, 1, 2, 3, 4, 5 | |

This problem, from the collection of Aunty Mathilda challenges, promotes algebraic thinking and problem solving strategies. Aunty Math must determine the individual weight of her two nephews and niece given clues about their combined weight. Included are links to an easier challenge and to a harder one, depending on the level of the solver, and a link to a page for parents and teachers with additional background support, alignment to the CCSS, explanations and extensions. | Activity Grade Level: 1, 2, 3 | |

This Sketchpad activity, which opens on Geometer's Sketchpad as well as on iOS with Sketchbook Explorer (cataloged separately), allows students to use a scale to make conjectures about the properties of powers of 2 based on their observations. Students are given a random value between 1 and 63 on one side of a scale and must balance it by selecting variables whose assigned values are powers of 2 (1, 2, 4, 8, 16, and 32). A five-minute movie provides detailed instructions and downloadable PDF of teacher notes and student worksheets are also included. | Activity, Lesson Plans, Video Grade Level: 3, 4, 5, 6+ | |

This Sketchpad activity, which opens on Geometer's Sketchpad as well as on iOS with Sketchbook Explorer (cataloged separately), allows students to use a scale to develop early algebraic concepts of the equal sign and variables. Learners determine different ways to place shapes with assigned numerical values on one side of a scale to balance with given shapes on the other side. A five-minute movie provides detailed instructions and downloadable PDF of teacher notes and student worksheets are also included. | Activity, Lesson Plans, Video Grade Level: 4, 5, 6+ | |

This Sketchpad activity, which opens on Geometer's Sketchpad as well as on iOS with Sketchbook Explorer (cataloged separately), develops early algebraic reasoning and logic skills in students by writing and analyzing inequality statements. By observing the behavior of a scale when various shapes are placed onto it, students can represent the relationships between the shapes with algebraic statements that include “greater than” or “less than” symbols. A five-minute movie provides detailed instructions and downloadable PDF of teacher notes and student worksheets are also included. | Activity, Lesson Plans, Video Grade Level: 3, 4, 5, 6+ | |

This Sketchpad activity, which opens on Geometer's Sketchpad as well as on iOS with Sketchbook Explorer (cataloged separately), is the first of three balance activities in which students develop intuitive strategies for writing and solving simple algebraic equations. Students drag a shape whose numerical value is known onto one side of a scale and then drag copies of a shape with an unknown numerical value to the other side of the scale until both sides are level. Students then solve the equation to determine the value of the unknown shape. A five-minute movie provides detailed instructions and downloadable PDF of teacher notes and student worksheets are also included. | Activity, Lesson Plans, Video Grade Level: 4, 5, 6+ | |

This Sketchpad activity, which opens on Geometer's Sketchpad as well as on iOS with Sketchbook Explorer (cataloged separately), is the third of three balance activities in which students develop intuitive strategies for writing and solving algebraic equations. In this final activity, users must simplify algebraic equations by removing identical shapes from both sides of a scale. A five-minute movie provides detailed instructions and downloadable PDF of teacher notes and student worksheets are also included. | Activity, Lesson Plans, Video Grade Level: 5, 6+ | |

This Sketchpad activity, which opens on Geometer's Sketchpad as well as on iOS with Sketchbook Explorer (cataloged separately), is the second of three balance activities in which students develop intuitive strategies for writing and solving simple algebraic equations. In this follow-up activity, students create and solve balance puzzles in which the variable must first be isolated on one side of an algebraic equation in order to determine its value. A five-minute movie provides detailed instructions and downloadable PDF of teacher notes and student worksheets are also included. | Activity, Lesson Plans, Video Grade Level: 4, 5, 6+ |