California Standards

6.0. Students graph a linear equation and compute the x-and y-intercepts (e.g., graph 2x + 6y = 4). They are also able to sketch the region defined by linear inequality (e.g., they sketch the region defined by 2x + 6y < 4).

15.0. Students apply algebraic techniques to solve rate problems, work problems, and percent mixture problems.

21.0. Students graph quadratic functions and know that their roots are the x-intercepts.

22.0. Students use the quadratic formula or factoring techniques or both to determine whether the graph of a quadratic function will intersect the x-axis in zero, one, or two points.

23.0. Students apply quadratic equations to physical problems, such as the motion of an object under the force of gravity.

NCTM Standards

9-12.4.2. understand relations and functions and select, convert flexibly among, and use various representations for them.

9-12.4.4. understand and perform transformations such as arithmetically combining, composing, and inverting commonly used functions, using technology to perform such operations on more-complicated symbolic expressions.

9-12.4.5. understand and compare the properties of classes of functions, including exponential, polynomial, rational, logarithmic, and periodic functions.

9-12.6.1. identify essential quantitative relationships in a situation and determine the class or classes of functions that might model the relationships.

9-12.6.3. draw reasonable conclusions about a situation being modeled.

9-12.7.1. approximate and interpret rates of change from graphical and numerical data.