Evidence of Understanding

**solve polynomial functions in the context of a situation**- build equations that model the relationship between two variables in a function
- connect equivalent mathematical representations (an equation to a situation, etc.) and justify the connection
- use multiple mathematical representations (equation, table, graph) to uncover solutions to a problem or answer questions for a given situation

**solve systems with two or three variables in the context of a situation**- algebraically solve systems containing a linear equation and either a polynomial equation or the equation of a circle
*possible extension: solve a system containing a quadratic and the equation of a circle*

- graphically solve systems containing any two function types with the use of technology
- solve 3x3 systems algebraically
- build and combine functions by using the arithmetic operations of addition, subtraction, and multiplication
- identify values in the solution set and describe solution(s) in the context of a situation

- algebraically solve systems containing a linear equation and either a polynomial equation or the equation of a circle
**apply geometric ideas to create and solve polynomial equations**- recognize and apply
**polynomial identities**describing numerical relationships- connect
**Pythagorean Triples**to (x^{2}+ y^{2})^{2}= (x^{2}- y^{2})^{2}+ (2xy)^{2}

- connect
- derive the equation of a parabola, the
**focus**, or the**directrix**using information - derive the formula for the sum of a finite
**geometric series**and use it to solve problems

- recognize and apply

Develop conceptual understanding:

polynomial identity, Pythagorean Triple, focus, directrix, geometric seriesSupporting terms to communicate:

polynomial, linear, quadratic, cubic, zeros, roots, simultaneous solution, vertex, maximum/minimum point