**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.

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