Key features of quadratics (vertex, axis, intercepts, direction)
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.
"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."
"Make connections between a table, an algebraic representation, or a graph of a: • quadratic or exponential function that does not involve a transformation, not in context."
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"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."
"Make connections between a table, an algebraic representation, or a graph of a: • quadratic or exponential function that does not involve a transformation, not in context."
What you'll learn
- Read a quadratic's key features (direction, vertex, axis of symmetry, intercepts, and maximum or minimum value) from any form of its equation, from its graph, or from a table of values
- Locate the vertex from vertex form, from standard form by x = −b/(2a) and substitution, and from a graph, and state the axis of symmetry as an equation, using it to find a mirror point
- Explain why the solutions of f(x) = 0 are exactly the x-intercepts, and compute the y-intercept as f(0) from any form
- State a maximum or minimum **value**, distinguished from where it occurs, and the range that follows from the vertex and direction
- Locate the vertex from a table of values, and match a table to its equation
Slides
Step through the lesson, or watch it as a narrated video
Slides
In development
Not yet available • Check back soon!