Students sort algebraic statements into identities, equations with solutions, and equations with no solutions, using manipulation and substitution to justify their choices.
Students solve a problem using two linear equations with two variables and interpret the meaning of algebraic expressions.
Students identify parallel and perpendicular lines and find points of intersection and x- and y-intercepts by looking at the equations of the lines.
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.
Students solve a problem of optimizing within constraints and then explore alternative algebraic and graphical approaches involving systems of linear equations.
Students explore relationships between variables in everyday situations using graphs, tables, and formulae.
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