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Completing the Square Visually #2

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. This task also includes the use of colour to distinguish positive and negative terms.

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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