# The Tim's Project

## Overall Expectation

Apply data-management techniques to investigate relationships between two variables

## Rationale

Tim Hortons is a mainstay in the students’ diet. We believed that by creating a question involving a topic students are already passionate such as Tim Hortons they would have more buy-in and emotional engagement. The overall problem we are posing is to “develop an equation that would represent the total amount of customers who visit Tim Hortons in a day”. By answering this broad question they are required to use and expand on several skills that have been learned in the grade 9 math classroom.

• Create a Hypothesis
• Make a prediction
• Gather data/investigate information
• Reflect/Assess data
• Challenge Hypothesis
• Use Principles of linear systems to present the data

Social Goals:

• Find/engage math in their community
• Work in a group setting
• Communicate new information and debate answers to the problem

## Copy of Assignment

Ridiculous Statistics:

• The Tim Horton’s in Grand River Hospital has 10,000 customers every day.

• The average Tim Horton’s gross profit on a slow day is over \$4000 a day.

Can these even be true? You can prove or disprove these statements using data collection and math!

Problem:

Develop a linear equation to represent the total number of customers that would visit Tim Horton’s in a day.

What you need to do before going to Tim Horton’s

1. Research some background information about how Tim Horton’s is run as a business.

2. Get into a group of 2 or 3 and choose a Tim Horton’s location that you will visit

3. Exchange contact information with your group members (use table 1 to record this)

4. Come up with a plan of action (template provided) that includes:

• Method and duration of data collection

• How to estimate the number of customers in a day

• How the time of the day will affect the volume of customers

• How to develop an equation

• Strategies for graphing that equation

• Have a conference with the teacher to ensure you are on the right track with your plan.

What you need to do after visiting Tim Horton’s

1. Design a display board (online or otherwise) that shows the following:

• A graphical representation of your data and equation

• An estimation of how many customers visit Tim Horton’s in a day.

• An extrapolation of your results to predict how many customers would visit Tim Horton’s weekly and yearly.

• What is the relationship between the time of day and the amount of customers visiting a Tim Horton’s?

• Which of the above statistics are most likely to be true based on your observations?

• What other factors may affect the amount of Tim Horton’s customers throughout the day?

3. Complete a reflection sheet:
• It must be submitted individually by each group member.

• It must be double spaced and typed in Times New Roman, font size 12, with 1” margins and should not exceed two pages.

• You should do the following to effectively answer the questions on the review sheet:

• Look around at each group’s displays and choose which Tim Horton’s you think is the most successful.

• Ensure you collect enough data and evidence to justify and defend your choice.

Table 1: Group Contact Information:

Group Member #1

Name:

Phone #:____________________

email:_______________________

Group Member #2

Name:

Phone #:____________________

email:_______________________

The Tim Horton’s we are visiting is:

______________________________________________________________________________

______________________________________________________________________________

Research: State what you learned from your Tim Horton’s research:

______________________________________________________________________________

______________________________________________________________________________

______________________________________________________________________________

## Raw Data:

Plan of Action:

1. How will you collect your data?
2. How long will you collect data?
3. Propose some ideas as to how you will use the data you have collected to estimate the number of customers visiting Tim Horton’s in a day.
4. How will the time of the day affect the number of customers? How will you account for this when estimating the daily number?
5. How will you develop your equation?

6. What is the independent variable? (x-values)

7. What is the dependent variable? (y-values)

8. Propose some strategies for graphing and extrapolating your data

Field Trip Day!

Data Collection:

Record your collected data in an appropriate mathematical format.

Equation Development:

Other Observations:

Reflection Sheet:

Submit a typed response to the following questions. Your response should not exceed two pages double sided (Font size 12, Times New Roman, and 1” margins).

1. Describe your group’s dynamic. How did you split up the work in this assignment?
2. Were there any problems in the group? How did you work out those problems?
3. Which Tim Horton’s is the most successful?
4. Why did you choose that Tim Horton’s? Justify your choice by stating three pieces of collected evidence to support your chosen Tim Horton’s.
5. Where would be the most ideal location for a new Tim Horton’s branch?
6. Comment on three things you learned from this assignment.
7. Comment on one thing you are still unclear about.