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Completing the Square Visually

Preview: 

This task helps students see that completing the square corresponds geometrically to physically finishing a square. It also helps students build an area model of quadratic expressions. When using this task, you will have to choose which one of the representations students will create themselves depending on your goals and your students.

Grade: 
Grade 11
Grade 12
Task Type: 
Connecting Representations
Content: 
completing the square, representing quadratic expressions visually
Curricular Competency: 
Reasoning and analyzing: Develop mental math strategies and abilities to make sense of quantities
Understanding and solving: Develop, demonstrate, and apply mathematical understanding through play, inquiry, and problem solving
Understanding and solving: Visualize to explore mathematical concepts
Understanding and solving: Develop and use multiple strategies to engage in problem solving
Communicating and representing: Communicate mathematical thinking in many ways
Communicating and representing: Use mathematical vocabulary and language to contribute to mathematical discussions
Communicating and representing: Explain and justify mathematical ideas and decisions
Communicating and representing: Represent mathematical ideas in concrete, pictorial, and symbolic forms
Connecting and reflecting: Reflect on mathematical thinking

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