A-SSE.2.3.a

Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

a. Factor a quadratic expression to reveal the zeros of the function it defines.

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Students are asked to find the zeros of a quadratic function in the context of a modeling problem.
Jumping Dolphin
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Hook/Performance Tasks
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This task compares the usefulness of different forms of a quadratic expression. Students have to choose which form most easily provides information about the maximum value, the zeros and the vertical intercept of a quadratic expression in the context of a real world situation. Rather than just manipulating one form into the other, students can make sense out of the structure of the expressions.
Profit of a Company
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This task presents a challenging exercise in both algebraic manipulations and seeing structure in algebraic expressions.
A Cubic Identity
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Students compare graphs of different quadratic functions, then produce equations of their own to satisfy given conditions.
Graphs of Quadratic Functions
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This task illustrates the process of rearranging the terms of an expression to reveal different aspects about the quantity it represents, precisely the language being used in standard A-SSE.B.3. Students are provided with an expression giving the temperature of a container at a time t, and have to use simple inequalities (e.g., that 2t>0 for all t) to reduce the complexity of an expression to a form where bounds on the temperature of a container of ice cream are made apparent.
Ice Cream
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The purpose of this task is to help students see manipulation of expressions as an activity undertaken for a purpose.
Increasing or Decreasing? Variation 2