Students solve the problem of how many different tiles are needed to create a pattern at various sizes and explore alternative algebraic and geometrical approaches using linear and quadratic relationships.
Students sort algebraic statements into identities, equations with solutions, and equations with no solutions, using manipulation and substitution to justify their choices.
Students use algebra and graphs to explore how the standard, factored, and completed square forms of a quadratic relate to the intercept, roots, maxima, and minima of function.
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