"Math is not done with paper, pencil, or a calculator; math is done with the brain."

Preview:

This task helps students build an area model of quadratic expressions for both unfactored and factored forms of a quadratic expression. This version includes negative coefficients in the factoring and uses color to distinguish between positive and negative terms.

One potential modification for this task is to remove the unsimplified in-between step between the factored and unfactored forms and let students determine what those forms should be during the exploration phase.

Grade:

Grade 11

Grade 12

Task Type:

Connecting Representations

Source:

Content:

representing quadratic expressions visually, factoring quadratics

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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