Learning Goal
End behavior and degree
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.
"AF 705. Identify characteristics of graphs based on a set of conditions or on a general equation such as y = ax² + c" (score range 33-36, lines 371-372)
"F 509. Find the range of polynomial functions" (score range 24-27, lines 286-287)
"F 501. Evaluate polynomial functions, expressed in function notation, at integer values" (score range 24-27, lines 260-262)
"A 505. Add, subtract, and multiply polynomials" (score range 24-27, lines 238-239)
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"AF 705. Identify characteristics of graphs based on a set of conditions or on a general equation such as y = ax² + c" (score range 33-36, lines 371-372)
"F 509. Find the range of polynomial functions" (score range 24-27, lines 286-287)
"F 501. Evaluate polynomial functions, expressed in function notation, at integer values" (score range 24-27, lines 260-262)
"A 505. Add, subtract, and multiply polynomials" (score range 24-27, lines 238-239)
What you'll learn
- Identify the degree and the leading coefficient of a polynomial written in standard form, in non-descending order, or in factored form
- Predict what a polynomial's graph does at the far left and far right from two facts alone: the parity of the degree and the sign of the leading coefficient
- Explain, with a numerical comparison, why the lower-degree terms stop mattering for large $|x|$ — and why "large" can mean very large
- Eliminate candidate equations for a given graph using end behavior, without substituting any points
- State the maximum number of turning points of a degree-$n$ polynomial as $n - 1$, and explain why it is a maximum rather than a count
- Infer a lower bound on a polynomial's degree from the number of turning points visible on its graph
Slides
Step through the lesson, or watch it as a narrated video
Slides
In development
Not yet available • Check back soon!