By the end of this unit, students will be able to:
By the end of this unit, students will be able to:
Understand Quadratic Relationships:
Target 35: Classify a relationship as linear, exponential or quadratic using patterns, tables, and equations.
Target 36: Identify and/or compare key features of a quadratic relationship from a table, graph or equation in factored form.
This includes the vertex, the intercepts, and whether the parabola is concave up or down.
Connect Quadratic Equations and Graphs:
Target 37: Graph a quadratic function in two variables.
Target 38: Use key features of a quadratic function to write an equation.
Manipulate of Quadratic Equations:
Target 39: Analyze the effect of translations and scale changes on quadratic functions.
This includes describing the effect of transformations on the graph of 𝑓(𝑥) by 𝑘𝑓(𝑥), 𝑓(𝑥) + 𝑘, 𝑓(𝑥 + 𝑘) for specific values of k (any real number).
Target 40: Compare and contrast quadratic functions written in factored, standard, and vertex forms.
This includes finding the vertex, intercepts, concavity in each form.
Target 41: Write and/or use an equation modeling a quadratic function to solve problems.
This includes writing equations from graphs, verbal descriptions, tables, or data sets and includes evaluating using order of operations and finding x- and y-intercepts.