The California Mathematics Content Standards -Grade8 9 10 11 12
Algebra II
Standard
10. Students graph quadratic functions
and determine the maxima, minima,
and zeros of the function.
Skills (Note: none listed for science standards)
Teacher Strategy
The graph of any quadratic function is a parabola.For a parabola that opens downward, the vertex is a maximum point of the function.If the parabola opens upward,the vertex is a minimum point of the function.The solutions of a quadratic equation are called the roots of the equation and can be found by finding their x- intercepts or zeros of the related quadratic function.
Student Tasks or Scientific Investigation/Experimentation
Determine if 3z4 – 5z3 +6z – 6 =0 is a quadratic equation.Explain. Define each term and explain how they are related.
a.solution
b.root
c.zero of a function
d.x-interceptState the difference between a quadratic equation and a quadratic function.
Explain why a quadratic equation cannot have more than two solutions.
Assessment or Scientific Application/Assessment
Resources and Technology
Resource:Algebra the Easy Way by Douglas
Downing:Dale Seymour Publications.Technology:Graphic Wiz and Bradford Graph
Maker,William K.Bradford Publishing
Company.
This page is taken from the Santa Clara Office of Education.