Mathematically proficient students understand and use stated assumptions, definitions, and previously established results in constructing arguments. They make conjectures and build a logical progression of statements to explore the truth of their conjectures. They are able to analyze situations by breaking them into cases, and can recognize and use counterexamples. They justify their conclusions, communicate them to others, and respond to the arguments of others. They reason inductively about data, making plausible arguments that take into account the context from which the data arose. Mathematically proficient students are also able to compare the effectiveness of two plausible arguments, distinguish correct logic or reasoning from that which is flawed, and—if there is a flaw in an argument—explain what it is. Elementary students can construct arguments using concrete referents such as objects, drawings, diagrams, and actions. Such arguments can make sense and be correct, even though they are not generalized or made formal until later grades. Later, students learn to determine domains to which an argument applies. Students at all grades can listen or read the arguments of others, decide whether they make sense, and ask useful questions to clarify or improve the arguments.

Comparing Unit Rates Lesson Plan: Unit Rates

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In this middle school lesson plan students use an interactive simulation called Unit Rates to  compare prices by identifying multiplicative relationships....

Particle Accelerators Lesson Plan: When Particles Collide Movie

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In this lesson plan, adaptable for grades 4-12, students explore BrainPOP features and resources about particle accelerators, including what they are, what they do, and why scientists developed them.T...

Computational Modeling Lesson Plan: Marvelous Models

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In this lesson plan, adaptable for grades 5-8, students play Marvelous Models, a game that challenges them to create models from scratch. Through play, students gain insight into a system through the ...

Digital Citizenship Creative Coding Lesson Plan

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Students show what they know by coding a project....

Newscast Lesson Plan

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Students use JavaScript to create a scrolling news headline to correspond with a video....

Meme Lesson Plan

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Students embellish a video with graphics and text.  ...

Math Skills Lesson Plan: It’s All Fun and Games

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In this math skills lesson plan, which is adaptable for grades 3-12, students work collaboratively to research selected math skills. Students then create, play, and assess a math game that is designed...