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.
A 605. Solve quadratic equations
A 601. Manipulate expressions and equations
N 504. Exhibit some knowledge of the complex numbers
N 604. Apply the facts that π is irrational and that the square root of an integer is rational only if that integer is a perfect square
N 704. Apply properties of complex numbers and the complex number system
AF 705. Identify characteristics of graphs based on a set of conditions or on a general equation such as y = ax² + c
AF 703. Analyze and draw conclusions based on properties of algebra and/or functions
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A 605. Solve quadratic equations
A 601. Manipulate expressions and equations
N 504. Exhibit some knowledge of the complex numbers
N 604. Apply the facts that π is irrational and that the square root of an integer is rational only if that integer is a perfect square
N 704. Apply properties of complex numbers and the complex number system
AF 705. Identify characteristics of graphs based on a set of conditions or on a general equation such as y = ax² + c
AF 703. Analyze and draw conclusions based on properties of algebra and/or functions
What you'll learn
- Determine from $\Delta = b^2-4ac$, without solving, whether a quadratic has two distinct real, one repeated real, or two non-real roots, and whether real roots are rational or irrational
- Relate the sign of $\Delta$ to the number of $x$-intercepts of the corresponding parabola
- Translate a stated condition on the roots, including tangency of a line and a parabola, into a condition on $\Delta$ and solve for an unknown coefficient
- Choose the discriminant over a full solve when a question asks only how many or what kind of roots exist
Slides
Step through the lesson, or watch it as a narrated video
Slides
In development
Not yet available • Check back soon!