Unit 4:
Modeling and Analyzing Quadratic Functions
A.PAR.6: Build quadratic expressions and equations to represent and model real-life phenomena; solve quadratic equations in mathematically applicable situations.
A.FGR.7: Construct and interpret quadratic functions from data points to model and explain real-life phenomena; describe key characteristics of the graph of a quadratic function to explain a mathematically applicable situation for which the graph serves as a model.
A.FGR.7: Construct and interpret quadratic functions from data points to model and explain real-life phenomena; describe key characteristics of the graph of a quadratic function to explain a mathematically applicable situation for which the graph serves as a model.
Learning Goal:
- I can add and subtract polynomials.
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Learning Goal:
- I can multiply monomials and binomials to produce quadratic expressions.
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Learning Goal:
- I can factor quadratic expressions with a leading coefficient of 1 and -1.
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Learning Goal:
- I can create a quadratic function when given a table or data set.
- I can graph quadratic functions using technology and describe key features.
- I can create quadratics functions in two variables.
- I can graph quadratics functions in standard form and describe the characteristics of the function.
- I can create and graph a quadratic functions
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Learning Goal:
- I can rewrite the standard form of a quadratic function to produce an equivalent quadratic function in vertex form.
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Learning Goal:
- I can graph a parabola using transformations when the function is in vertex form.
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Learning Goal:
- I can write a quadratic function in vertex form by analyzing the characteristics of a parabola.
- I can rewrite the vertex form of a quadratic function to produce an equivalent quadratic function in standard form.
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Learning Goal:
- I can factor quadratic expressions.
- I can solve quadratic equations by factoring.
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Learning Goal:
- I can create quadratic equations and solve them by taking square roots.
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Learning Goal:
- I can create quadratic equations and solve them with the quadratic formula.
- I can create and solve quadratic equations.
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Learning Goal:
- I can compare the properties of a linear and quadratic function presented symbolically, graphically, or in a table.
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