Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
- Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
- Guided Notes →One page your students fill in and keep.
- Exit Ticket →Three items at the end of class. No student accounts.
- Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
- Homework →Assign practice; it grades itself.
"Use function notation to represent and interpret input/output pairs: • evaluate a nonlinear function given an input value; or, for a quadratic function, find the input value for a corresponding output."
"• for exponential, polynomial, radical, and rational functions, find the input value for a corresponding output."
"Understand and use the fact that for the graph of y = f ( x ), the solutions to f ( x ) = 0 correspond to x-intercepts of the graph and f (0) corresponds to the y-intercept of the graph; make connections between the input/output pairs and points on a graph; interpret this information in a context."
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"Use function notation to represent and interpret input/output pairs: • evaluate a nonlinear function given an input value; or, for a quadratic function, find the input value for a corresponding output."
"• for exponential, polynomial, radical, and rational functions, find the input value for a corresponding output."
"Understand and use the fact that for the graph of y = f ( x ), the solutions to f ( x ) = 0 correspond to x-intercepts of the graph and f (0) corresponds to the y-intercept of the graph; make connections between the input/output pairs and points on a graph; interpret this information in a context."
What you'll learn
- Use function notation with nonlinear functions in three directions: evaluate at an input, find every input for a given output, and compose two functions
- Evaluate a nonlinear function at a numeric input, including a negative one, and at an algebraic expression such as f(a + 2) or f(2x)
- Find all inputs producing a given output — generally two for a quadratic — for quadratic, exponential, polynomial, radical, and rational functions, algebraically and from a graph
- Compute f(g(x)) numerically, as an expression, and from a table, and show by computation that f(g(x)) and g(f(x)) generally differ
- Function notation for linear functions
- Evaluating and interpreting linear functions
- Quadratic functions: standard, vertex, and factored forms
- Key features of quadratics (vertex, axis, intercepts, direction)
- Exponential functions (growth and decay)
- Solving quadratics (factoring, formula, completing square, square roots)
Slides
Step through the lesson, or watch it as a narrated video
Slides
In development
Not yet available • Check back soon!