Module 6

Moving requires a lot of planning. Many things have to be done and decisions need to be made days, weeks, and even months before the actual moving date. These may include:

• Selling the home.

• Finding a new home.

• Finding a moving company or renting a moving truck.

• Packing up belongings.

• Exchanging money (if moving to a different country).

• Preparing for the trip (e.g., gas for the vehicle, snacks for the trip).

Making informed decisions ensures that the move goes as smoothly as possible. It also helps to keep moving costs down.

 

In this module you will look at how proportional reasoning can be used to find the best buy, determine measurements from scale diagrams, build scale models, compare living areas of houses, and even figure out which house has the bigger swimming pool.

 

In this module you will investigate the following inquiry question:

• How can proportional reasoning be used to solve problems?

To investigate this module question you will focus on the following lessons and corresponding inquiry questions shown in the table.

 

Lesson	Title	Lesson Inquiry Questions
1	Comparing and Interpreting Rates	How can rates be used to represent, interpret, and compare different items and/or situations?
2	Representing Rates with Graphs	How can graphs be used to represent and compare rates?
		How can rates be used to solve problems?
3	Solving Rate Problems	How can different strategies be used to analyze and solve problems that involve rates?
4	Scale Factor	How can scale factor be used to produce proportional 2-D shapes or 3-D objects?
5	Scale Diagrams	How can scale diagrams and models be used to determine unknown measurements?
		How can scale factor be used to create scale diagrams?
6	Scale Factors and Areas of 2-D Shapes	When a shape is enlarged or reduced, what is the relationship between scale factor and a shape’s dimensions?
		When a shape is enlarged or reduced, what is the relationship between scale factor and a shape’s area?
7	Scale Factors and 3-D Objects	When a 3-D object is enlarged or reduced, what is the relationship between scale factor and the object’s surface area?
		When a 3-D object is enlarged or reduced, what is the relationship between scale factor and the object’s volume?
8	Solving Spatial Problems	How can the relationships among scale factors, areas, and volumes be used to solve problems?

 

Module 6 Project

 

For the Module 6 Project, you are offered a job as a project manager for an information technology company in the United States. As part of the preparation for your move and your new job, there are several decisions that you have to make. You will apply what you learn about rates, scale factors, area, surface area, and volume to help you make these decisions. Your project is presented in three sections that you will work on as you progress through this module. For specific instructions, refer to the Module 6 Project.

 

Strategies for Success

 

You may find the following strategies useful to support your success in this module.

 

Strategy 1: Course Glossary