Students connect descriptions of everyday situations with distance-time tables and graphs and relate speeds to the slopes of the graphs.
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 sort algebraic statements into identities, equations with solutions, and equations with no solutions, using manipulation and substitution to justify their choices.
Students combine linear inequalities, correctly representing them on a graph, to identify a set of solutions.
Students explore relationships between variables in everyday situations using graphs, tables, and formulae.
Students solve a problem of optimizing within constraints and then explore alternative algebraic and graphical approaches involving systems of linear equations.
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