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The words compose and decompose are used to describe actions that young students learn as they acquire knowledge of small numbers by putting them together and taking them apart. This understanding is a bridge between counting and knowing number combinations. It is how instant recognition of small numbers develops and leads naturally to later understanding of fact families. This task helps them develop an understanding of number combinations.

Material Type: Activity/Lab

Author: Illustrative Mathematics

Grade 5 Module 4: Multiplication and Division of Fractions and Decimal Fractions

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Grade 5’s Module 4 extends student understanding of fraction operations to multiplication and division of both fractions and decimal fractions.  Work proceeds from interpretation of line plots which include fractional measurements to interpreting fractions as division and reasoning about finding fractions of sets through fraction by whole number multiplication.  The module proceeds to fraction by fraction multiplication in both fraction and decimal forms.  An understanding of multiplication as scaling and multiplication by n/n as multiplication by 1 allows students to reason about products and convert fractions to decimals and vice versa.  Students are introduced to the work of division with fractions and decimal fractions.  Division cases are limited to division of whole numbers by unit fractions and unit fractions by whole numbers.  Decimal fraction divisors are introduced and equivalent fraction and place value thinking allow student to reason about the size of quotients, calculate quotients and sensibly place decimals in quotients.  Throughout the module students are asked to reason about these important concepts by interpreting numerical expressions which include fraction and decimal operations and by persevering in solving real-world, multistep problems which include all fraction operations supported by the use of tape diagrams.

Material Type: Module

Grade 5 Module 5: Addition and Multiplication with Volume and Area

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In this 25-day module, students work with two- and three-dimensional figures.  Volume is introduced to students through concrete exploration of cubic units and culminates with the development of the volume formula for right rectangular prisms.  The second half of the module turns to extending students’ understanding of two-dimensional figures.  Students combine prior knowledge of area with newly acquired knowledge of fraction multiplication to determine the area of rectangular figures with fractional side lengths.  They then engage in hands-on construction of two-dimensional shapes, developing a foundation for classifying the shapes by reasoning about their attributes.  This module fills a gap between Grade 4’s work with two-dimensional figures and Grade 6’s work with volume and area.

Material Type: Module

5.MD Using Volume to Understand the Associative Property of Multiplication

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This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Make sure you have plenty of snap cubes. Build a rectangular prism that is 2 cubes on one side, 3 cubes on another, and 5 cubes on the third side. We w...

Material Type: Activity/Lab

Author: Illustrative Mathematics

Naked Egg Drop

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Student pairs experience the iterative engineering design process as they design, build, test and improve catching devices to prevent a "naked" egg from breaking when dropped from increasing heights. To support their design work, they learn about materials properties, energy types and conservation of energy. Acting as engineering teams, during the activity and competition they are responsible for design and construction planning within project constraints, including making engineering modifications for improvement. They carefully consider material choices to balance potentially competing requirements (such as impact-absorbing and low-cost) in the design of their prototypes. They also experience a real-world transfer of energy as the elevated egg's gravitational potential energy turns into kinetic energy as it falls and further dissipates into other forms upon impact. Pre- and post-activity assessments and a scoring rubric are provided. The activity scales up to district or regional egg drop competition scale. As an alternative to a ladder, detailed instructions are provided for creating a 10-foot-tall egg dropper rig.

Material Type: Activity/Lab

Author: Lauren Jabusch

Achieve OER Evaluation Tool

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Learn how to use OER Common Common Core Alignment and Evaluation Tool to align appropriate resources to the Common Core State Standards, and to evaluate the resource against certain aspects of quality.Remixed from "Common Core Alignment and OER Evaluation Tool" by userLetha Goger

Material Type: Teaching/Learning Strategy

Author: Mindy Boland

ISKME's Open Educational Practice Rubric

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This rubric defines a set of open educational practices that help educators to advance a classroom and school culture of open education and to advocate for the potential benefits of open educational resources (OER) in the context of continuous improvement. The rubric is intended to guide educator practice in working with OER to ensure that every student has the opportunity to engage in learning effectively. The rubric supports educators in accessing, curating, evaluating, and adapting OER in response to students’ particular needs, interests, and contexts, to author and share original or remixed resources, and to disseminate approaches to the implementation of those resources for future OER users to benefit from.

Material Type: Teaching/Learning Strategy

Authors: Mindy Boland, Megan Simmons

Permission Guide for Educators

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This guide provides a primer on copyright and use permissions. It is intended to support teachers, librarians, curriculum experts and others in identifying the terms of use for digital resources, so that the resources may be appropriately (and legally) used as part of lessons and instruction. The guide also helps educators and curriculum experts in approaching the task of securing permission to use copyrighted materials in their classrooms, collections, libraries or elsewhere in new ways and with fewer restrictions than fair use potentially offers. The guide was created as part of ISKME's Primary Source Project, and is the result of collaboration with copyright holders, intellectual property experts, and educators.* "Copyright license choice" by opensource.com is licensed under CC BY-SA 2.0.

Material Type: Reading

Author: Mindy Boland

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