Author: Tutita Casa


This is a graphic organizer to aid in a think pair share for any grade level. Students are given a section to rewrite the question and state their answer, a section with a sentence starter to construct their claim and provide evidence, and a section to record a partner’s thoughts.

Microsoft Word version: GraphicOrganizer_ThinkPairShareTemplate

PDF version: GraphicOrganizer_ThinkPairShareTemplate

AllGrades_IntroductionToArgumentation_Lesson_JimmyAndThe Pizza

Jimmy and the Pizza is a lesson that is designed to introduce argumentation to a class. This lesson introduces the key parts of an argument: claim, evidence, and warrant. The lesson does not incorporate mathematical reasoning, but is aimed at having students use real world experiences to think about what makes a good argument.

Microsoft Word version: IntroductionToArgumentation_Lesson_JimmyAndThe-Pizza

PDF version: IntroductionToArgumentation_Lesson_JimmyAndThe-Pizza


A template of the talk frame is used to discover the meaning of a mathematical argument. The Think section holds a restated version of the question, the Talk Ideas section contains anticipated student responses and ideas, and the We Understand section clarifies what a mathematical argument entails. Students are asked to relate an argument they have with a peer to having a mathematical argument in order to determine the definition of a mathematical argument.

Microsoft Word version: IntroductionToArgumentation_TalkFrame

PDF version: IntroductionToArgumentation_TalkFrame


This worksheet is used to introduce mathematical argumentation to the class. Students are asked to think about real world arguments and consider what it would mean to create a mathematical argument. This may start a good discussion about what a mathematical argument is, and allow students to take ownership over the concept by having them supply the ideas about argumentation.

Microsoft Word version: IntroductionToArgumentation

PDF version: IntroductionToArgumentation


This rubric was developed by a team of teachers with significant revisions from experience using it with student work. It was extremely beneficial for us to learn the components of arguments. It also helped us define how students could develop and improve their work. This work was important, but now that we are done with it, we will use a shorter and simpler rubric for our continuing work.

Microsoft Word version: Rubric_ArgumentationRubric1

PDF version: Rubric_ArgumentationRubric1


This argumentation rubric is a matrix rubric that grades students on a 1-2-3 scale in the categories of claim, evidence, warrant, precision of the language used the argument, and having all 3 components in the argument. The rubric ends up being out of 15 total points, and hits on all of the key parts of an argument.The rubric is strong in that it will allow students to see which part of their argument needs improvement, and which part they are succeeding with.

Microsoft Word version: Rubric_ArgumentationRubric2

PDF version: Rubric_ArgumentationRubric2


Exemplars Rubrics offer both a student rubric and a teacher rubric. Each rubric is based on standards, rather than specifically pertaining to an activity. Students are graded on problem solving, reasoning and proof, communication, connections, and representations. In each category, students will be graded as a novice, apprentice, practitioner, or expert. There is no number score associated with these rubrics, but a number score could easily be added. Having students fill out their own rubrics encourages them to take ownership of their progress.

Microsoft Word version: Rubric_Exemplars

PDF version: Rubric_Exemplars

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This rubric was created to be used with grades 4 and 5 teachers and students. It was modeled after existing rubrics found online to support MP3. The main objective of the rubric was twofold: 1) for teachers to clarify what they were searching for and listening for when evaluating students’ mathematical arguments and 2) for students to understand the components needed to develop a strong mathematical argument. This version of the rubric was to be used to evaluate oral arguments. A modified version of the rubric without the last column (Listening to and Communicating about others’ Thinking) was created to assess written arguments. —- Comment: Grade 5 found that the rubric was a bit cumbersome to assess initial written arguments.

Microsoft Word version: Rubric_MyMathArgumentationRubric

PDF version: Rubric_MyMathArgumentationRubric

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This argumentation rubric is a matrix rubric that grades students on a 0-1-2-3 scale in the categories of claim, evidence, warrant, and the mechanics of the argument. Each section has a well written description of what is being graded, as well as an example of what it might look like. For example, there is a rubric section for claim, so it says what a claim is and provides an example.The examples provide students with a reference as to how their argument might be able to improve next time.

Microsoft Word version: Rubric_WrittenMathematicalArgumentationRubric

PDF version: Rubric_WrittenMathematicalArgumentationRubric