Algebra II
Standard
|
| Skills (Note:
none listed for science standards)
|
Teacher
Strategy
|
Student
Tasks or Scientific Investigation/Experimentation
|
Assessment
or Scientific Application/Assessment
|
Resources
and Technology
|
|
The California Mathematics Content Standards -Grade8 9 10 11 12
Algebra II
Standard
9. Students demonstrate and explain
the effect changing a coefficient has
on the graph of quadratic functions.
That is, students can determine how
the graph of a parabola changes as
a, b, and c vary in the equation
y = a(x – b)2 + c.
Skills (Note: none listed for science standards)
Teacher Strategy
Completing the square:
Where (h,k)are the coordinates of the vertex. Have them rewrite equations in this form and determine the coordinates of the vertex and have them graph them.
Teach students about the focus and directions of a parabola and ellipse.Using this information have them determine if the vertex is a maximum or minimum point.
Student Tasks or Scientific Investigation/Experimentation
Have students explore the graphs above after they have plotted them on paper.
Assessment or Scientific Application/Assessment
Students should recognize: 1.What changes shift the graph vertically and horizontally. 2.What changes flip the graph around. 3.What changes make the graph wide or skinny.
Resources and Technology
Resource:Challenging Problems in Algebra by
Alfred S.Posamentier and Charles T.Salkind,
Dale Seymour Publications.Technology:Green Globs and Graphing
Equations by Wings for Learning/Sunburst
Communications,Scotts Valley,California.
This page is taken from the Santa Clara Office of Education.