NC.M2.A-CED.2
NC.M2.A-SSE.1
NC.M2.A-SSE.1.a
NC.M2.A-SSE.1.b
NC.M2.F-BF.1
NC.M2.F-IF.4
NC.M2.F-IF.7
Model a story context with a table, graph, and equation.
Identify features of a function from a graph.
Why are quadratic equations often used to model area?
Use patterns to efficiently graph quadratic functions from factored form.
How does the graph of a parabola relate to the equation of a quadratic function?
What features of a parabola are highlighted in factored form? How can we use those features to graph a quadratic function?
Find patterns in the equations and graphs of quadratic functions.
What happens to the graph of f(x) =x^2 when the equation is changed by adding, subtracting, or multiplying by a constant?
Write equations for functions that are transformations of f(x) = x^2.
Find efficient methods for graphing transformations of f(x) = x^2.
What happens to the graph of f(x) = x^2 when more than one transformation is applied?
Find the square of a binomial expression.
Recognize a perfect square trinomial.
Create perfect squares from partial areas.
Find relationships between terms in a perfect square trinomial.
How can we use models to find equivalent expressions for perfect squares?
Find a process for completing the square that works on all quadratic functions.
Adapt diagrams to become more efficient in completing the square.
How can we complete the square when there is more than one square given (or a is not equal to 1 in ax^2 + bx + c) ?
Use completing the square to change the form of a quadratic equation.
Graph quadratic equations given in standard form.
How might completing the square help us to graph parabolas?
Alternative method: Video 1: Factoring Using the box method,
Choose the most efficient form of a quadratic function.
Become efficient and accurate in converting from one quadratic form to another.
Become efficient and accurate in identifying features of the graph of quadratic functions from a given form.
What information do we get from each form of a quadratic equation, and which form is best for a particular purpose?