Mathematically proficient students can apply the mathematics they know to solve problems arising in everyday life, society, and the workplace. In early grades, this might be as simple as writing an addition equation to describe a situation. In middle grades, a student might apply proportional reasoning to plan a school event or analyze a problem in the community. By high school, a student might use geometry to solve a design problem or use a function to describe how one quantity of interest depends on another. Mathematically proficient students who can apply what they know are comfortable making assumptions and approximations to simplify a complicated situation, realizing that these may need revision later. They are able to identify important quantities in a practical situation and map their relationships using such tools as diagrams, two-way tables, graphs, flowcharts and formulas. They can analyze those relationships mathematically to draw conclusions. They routinely interpret their mathematical results in the context of the situation and reflect on whether the results make sense, possibly improving the model if it has not served its purpose.

Projectile Investigation Lesson Plan: Projectile Motion

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In this middle school lesson plan, students use an interactive simulation called Projectile Motion to design and conduct their own experiment....

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 ...

Molecule Arrangement Lesson Plan: Crystal Cave

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In this lesson plan, adaptable for grades 5-8, students play Crystal Cave, a game that challenges them to arrange molecules of different shapes and properties into an ordered, stable configuration. Th...

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.  ...

Defeating Bacteria Lesson Plan: Antibiotic Resistance

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In this lesson plan, adaptable for grades 5-8, students play Antibiotic Resistance, a game that invites students to explore the concept of antibiotic resistance by defeating multiplying bacteria with ...

Amplitude, Offset, Wavelength and Frequency Lesson Plan: Wave Combinator

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In this lesson plan, adaptable for grades 5-8, students play Wave Combinator, a simulation game that invites them to explore how waves interact. Through play, students explore and deepen their underst...

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...