# Lesson 5

Scaling and Unscaling

### Lesson Narrative

In this lesson, students practice working with areas of scaled figures, connecting them to cross sections and encountering a common misconception.

Then, they create a graph representing \(y=\sqrt{x}\) and use it to answer questions about a situation. They analyze the shape of the graph to better understand the relationship between an area and the scale factor needed to achieve it.

When students consider two arguments (one of which includes a common misconception) and decide which is correct, they are critiquing the reasoning of others (MP3).

### Learning Goals

Teacher Facing

- Describe (using words and other representations) the relationships between scale factors and areas using square root graphs and calculations.

### Student Facing

- Let’s examine the relationships between areas of dilated figures and scale factors.

### Required Materials

### Required Preparation

Devices are required for the digital version of the activity Graphing Areas and Scale Factors.

### Learning Targets

### Student Facing

- I can use square root graphs and do calculations to interpret the relationships between scale factors and areas.

### CCSS Standards

### Print Formatted Materials

Teachers with a valid work email address can click here to register or sign in for free access to Cool Down, Teacher Guide, and PowerPoint materials.

Student Task Statements | docx | |

Cumulative Practice Problem Set | docx | |

Cool Down | Log In | |

Teacher Guide | Log In | |

Teacher Presentation Materials | docx |