#### Lesson Plan

## Real-World Applications of Parabolas

### Alignments:

### Grade Levels

### Related Academic Standards

### Assessment Anchors

### Eligible Content

### Big Ideas

### Concepts

### Competencies

### Objectives

In this unit, students explore real-world applications of parabolas. Students will:

· develop a conceptual understanding of each extracted piece of information from a quadratic function.

· visualize a given scenario and illustrate the function on paper, defining and explaining each attribute in the context of the problem.

· create real-world scenarios best modeled by quadratic functions.

· classify a real-world scenario according to its function and argue the reasoning for the use of such a model.

### Essential Questions

· How can a given function be represented? What connections can be made between the various representations?

· Which function best models a given real-world scenario? What does the function look like in the real-world?

· How can an equation, table, and graph be used to analyze the rate of change and other applicable information, related to a real-world problem and the representative function?

### Vocabulary

**Quadratic Function:**A function in the form of y=ax2+c, or y=ax2+bx+c, where a ≠ 0.**Parabola:**The shape of a quadratic function.**[IS.1 - Preparation]**

### Duration

90–120 minutes/1–2 class periods **[IS.2 - All Students]**

### Prerequisite Skills

### Materials

· graph paper **[IS.3 - All Students]**

· basketball (if desired)

· Lesson 3 Exit Ticket (M-A2-7-3_Lesson 3 Exit Ticket.docx) **[IS.4 - Struggling Learners]**

### Related Unit and Lesson Plans

### Related Materials & Resources

The possible inclusion of commercial websites below is not an implied endorsement of their products, which are not free, and are not required for this lesson plan.

· http://www.mathwarehouse.com/geometry/parabola/real-world-application.php

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