**Title:** Family Ties: Parabolas

**Description:**
This lesson allows students to manipulate the parameters while using the vertex form of the equation of a parabola to see the effects on the graph. The spreadsheet can be altered for other functions.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.
**Standard(s): **

[MA2015] AM1 (9-12) 11: (+) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials. Understand the importance of using complex numbers in graphing functions on the Cartesian or complex plane. [N-CN9] (Alabama)

**Subject:**Mathematics (9 - 12), or Technology Education (9 - 12)

**Title:**Family Ties: Parabolas

**Description:**This lesson allows students to manipulate the parameters while using the vertex form of the equation of a parabola to see the effects on the graph. The spreadsheet can be altered for other functions.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.

**Title:** There Has to Be a System for This Sweet Problem

**Description:**
In this Illuminations lesson, students use problem-solving skills to find the solution to a multi-variable problem that is solved by manipulating linear equations. The problem has one solution, but there are multiple variations in how to reach that solution.
**Standard(s): **

[MA2015] AL1 (9-12) 21: Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. [A-REI7]

**Subject:**Mathematics

**Title:**There Has to Be a System for This Sweet Problem

**Description:**In this Illuminations lesson, students use problem-solving skills to find the solution to a multi-variable problem that is solved by manipulating linear equations. The problem has one solution, but there are multiple variations in how to reach that solution.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12