A-SSE.1.2

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Formative Assessments
Formative Assessments
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Students are asked to rewrite quadratic expressions and identify parts of the expressions.
Finding Missing Values
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Students are asked to identify equivalent quadratic expressions and to name the form in which each expression is written.
Quadratic Expressions
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Students are asked to rewrite numerical expressions to find efficient ways to calculate.
Rewriting Numerical Expressions
Virtual/Hands-on Manipulatives
Virtual/Hands-on Manipulatives
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Assessment Questions
Assessment Questions
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FSA Sample Question
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Hook/Performance Tasks
Hook/Performance Tasks
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In this task students interpret the relative size of variable expressions involving two variables in the context of a real world situation. All given expressions can be interpreted as quantities that one might study when looking at two animal populations.
Animal Populations
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The purpose of this task is to identify the structure in the two algebraic expressions by interpreting them in terms of a geometric context.
Seeing Dots
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This task asks students to perform computations involving complex numbers using the properties of operations and the fact that i2=−1.
Computations with Complex Numbers
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This is a standard problem phrased in a non-standard way. Rather than asking students to perform an operation, expanding, it expects them to choose the operation for themselves in response to a question about structure. Students must understand the need to transform the factored form of the quadratic expression (a product of sums) into a sum of products in order to easily see a, the coefficient of the x2 term; k, the leading coefficient of the x term; and n, the constant term.
Equivalent Expressions
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In this task students have to interpret expressions involving two variables in the context of a real world situation.
Animal Populations
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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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Solving this problem with algebra requires factoring a particular cubic equation (the difference of two cubes) as well as a quadratic equation. An alternative solution using prime numbers and arithmetic is presented.
A Cubic Identity
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Parts (d) and (e) constitute a very advanced application of the skill of making use of structure: in (d) students are being asked to use the defining property of even and odd functions to manipulate expressions involving function notation. In (e) they are asked to see the structure in the system of two equations involving functions.
Sum of Even and Odd