Taking the paper out of math

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

Source:

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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