# Lesson 8

Equations and Graphs

### Lesson Narrative

In this lesson, students write an equation for a parabola and rewrite it in vertex form. Then, they match graphs of parabolas to equations. Students reason abstractly and quantitatively (MP2) as they create a parabola equation by applying the concept of distance calculations.

### Learning Goals

Teacher Facing

- Generalize (using words and other representations) the process of repeated distance calculations to derive an equation for a parabola in the coordinate plane.

### Student Facing

- Let’s write an equation for a parabola.

### Required Materials

### Required Preparation

The graphing technology is for use in the extension problem of the activity *Card Sort: Parabolas*.

### Learning Targets

### Student Facing

- I can derive an equation for a parabola in the coordinate plane given a focus and a directrix.

### CCSS Standards

Addressing

### Print Formatted Materials

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Student Task Statements | docx | |

Cumulative Practice Problem Set | docx | |

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Teacher Presentation Materials | docx | |

Blackline Masters | zip |