## Common Core State Standards for Mathematics

Grade(s) K-12 resources related to the following standard:
Standards for Mathematical Practice
Construct viable arguments and critique the reasoning of others.

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In this lesson from Illuminations, students explore and discover linear relationships. Linear patterns are identified, extended and described verbally, numerically and algebraically through three investigations. Using manipulatives and the linked applet, "Chairs", learners determine the number of chairs needed when the number of tables is known, and vice versa. Instructional plan, questions for the students, assessment options, extensions and teacher reflections are provided.
Activity, Interactive Media
Resource is part of a PD collection
This interactive Flash applet allows students to understand the distribution of sums that result when rolling two dice. By experimenting with different numbers of rolls, they see how increasing or decreasing the number of rolls affects the outcome. After virtually rolling the requested number of times, the applet displays the result of each roll as well as a bar graph of the distribution. A link to introductory information on probability is included.
Activity, Interactive Media
In this series of three lesson plans from PBS Mathline the instruction is focused on utilizing probability terms in everyday and mathematic situations. Each lesson plan is accompanied by an activity sheet, extension suggestions, and questions for professional development discourse. The video for Part 1 is cataloged separately and is listed as a related resource.
Lesson Plans, Unit of Instruction
This page from the Math Forum blog of Suzanne Alejandre links to a one-minute video during which Max Ray acts out the "Charlie's Gumball" Problem of the Week. The page includes links to PDFs of the scenario, the PoW Packet with the solution and teaching suggestions, a scoring rubric and the "Notice/Wonder" strategy handout that can be used to introduce the problem.
Assessment, Activity, Instructional Strategy, Instructor Guide/Manual, Community, Video
Grade Level: 1, 2, 3, 4, 5
Resource is part of a PD collection
In this activity students develop fraction concepts by reasoning about what choices they would make in order to get the most chocolate. Students determine how much candy they would receive as they enter one at a time and sit at one of three tables holding different amounts of candy which get shared equally. The activity includes the problem, tips for getting started, a teacher resource page, and a printable page of the problem.
Activity
In this data collection and analysis activity students investigate data in connection with recyclable materials and develop plans to help the environment. This activity requires students to keep track of their own paper use for a week, graph the data with a line graph and then interpret their results with a partner. The lesson includes student worksheets and extension suggestions.
Activity, Lesson Plans
In this blog entry Michelle Flaming describes what the implementation of MP 3 looks like in the classroom. She lists student actions, teacher actions, and open-ended questions that teachers can ask students to elicit the kind of reasoning called for in MP 3.
Reference Materials, Community
Grade Level: K, 1, 2, 3, 4, 5
Resource is part of a PD collection