Math Focus 9
 Student Centre • Surf for More Math • Try It Out • Web Quests

# Temperature Relationships

## INTRODUCTION

Canada has a wide variety of temperatures and climates. How are various factors related to temperature?

Research temperatures, and then create and support statements about these relationships:

• between temperature and the time of day
• between temperature and the season
• between temperature and latitude
• between temperature and wind chill

## THE PROCESS

1. Visit Climate Data. Choose your province or territory, then choose a city or place near you. Click to go to “Hourly Data Report.” Make sure that the “Interval” is “Hourly.” Find a date for which the temperature was below 0 ºC for at least part of the day and for which the wind chill is recorded for at least some times.
2. Record the name of the place and the latitude. (You can search the Internet to find out how latitude shows how far north a place is.) Choose two adjacent times with temperatures that differ by more than 2 ºC. Record five temperatures that you think are likely between these two times. Explain your thinking.
3. Explain how to determine the difference between the highest and lowest temperature shown for that date. Follow your explanation.
4. Estimate the mean temperature for all the temperatures shown for that date. Justify your estimate. Calculate the mean temperature using the order of operations.
5. Do you think there is a relationship between the temperature and wind chill? Support your answer with comparisons.
6. Make a statement about whether the time of day affected the temperature. Use comparisons of temperatures on the web site and your work for questions 2 to 4 to support your statement.
1. Choose at least two other dates for the same place and repeat questions 2 to 4. Include different seasons, but make sure some temperatures for each date were negative.
2. Make a statement about whether the season affected the temperature. Use comparisons of temperatures on the web site, your work, and your knowledge about geography to support your statement.
3. Choose a place that is farther south and a place that is farther north and repeat questions 2 to 4.
4. Make a statement about whether latitude affected the temperature. Support your statement.
5. Show any three of your calculations with fractions. Are the results the same? Why does this make sense? Which form do you find easier to use? Why is it easier? Which form is used for temperature data?
6. Create a problem involving data on the web site. Solve your problem correctly. Then record the solution with a few errors. Ask someone else to find the errors.

Website:

Climate Data

Materials:

a pencil
paper

## ASSESSMENT

 Mathematical Processes Work meets standard of excellence Work meets standard of proficiency Work meets acceptable standard Work does not yet meet acceptable standard Communication Support for statements and communication about the problem are clear and well-organized. Support for statements and communication about the problem are complete and clear. Support for statements and communication about the problem are complete. Support for statements and communication about the problem are incomplete. Connections Makes insightful connections relating temperature with time of day, season, latitude, and wind chill. Makes meaningful connections relating temperature with time of day, season, latitude, and wind chill. Makes simple connections relating temperature with time of day, season, latitude, and wind chill. Makes minimal or weak connections relating temperature with time of day, season, latitude, and wind chill. Reasoning Comprehensively analyzes temperature relationships and makes insightful generalizations. Completely analyzes temperature relationships and makes logical generalizations. Superficially analyzes temperature relationships and makes simple generalizations. Is unable to analyze temperature relationships and make generalizations.