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Nelson Education > School > Mathematics K-8 > Math Focus > Grade 8 > Teacher Centre > Web Quests > Chapter 6
 

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Chapter 6: Integers

Important Integers, Like 42

INTRODUCTION

We can connect numbers to ourselves. For example, if you life in Yellowknife, +205 can be connected to you, because 205 m is the elevation above sea level of the airport at Yellowknife. You can then have fun with those numbers. For example, you can combine numbers and operations to connect you to the number 42 (which, according to author Douglas Adams, is “the answer to the great question of life, the universe, and everything”).

 

THE TASK

Using the World Wide Web, find data about the place where you live and other places that are important to you or that you are interested in, and use those numbers in a combination of operations in an expression that you can evaluate as 42.

 

THE PROCESS

  1. Visit websites and choose eight integers from any data you find at those websites. (You should round values you discover to make integers.) Some examples of sites that offer geographic information:

    Nation Master-Lowest Elevations
    Nation Master-Highest Elevations
    World Land Areas and Elevations
    Exxun-Elevation Extremes
    Statistics Canada

    You can get local data by, for example, typing “Yellowknife elevation” or “Yellowknife weather”, into a search engine.

    Your integers should include the following:
    - an elevation from your province or territory
    - a temperature from your province or territory
    - at least three negative integers.

    Zero cannot be one of the integers.

  2. Create a table that includes your eight integers and an explanation of how each integer is connected to you.

  3. Create an expression using your eight integers. The expression must use all four operations: addition, subtraction, multiplication, and division. When you use order of operations to evaluation your expression, the answer is 42, or close to 42. How close can you get?

RESOURCES

Websites:

Nation Master-Lowest Elevations
Nation Master-Highest Elevations
World Land Areas and Elevations
Exxun-Elevation Extremes
Statistics Canada

 

Materials:

pen, pencil, paper

 

ASSESSMENT

Criteria Work meets standard of excellence Work meets standard of proficiency Work meets acceptable standard Work does not yet meet acceptable standard
Connections:
Connects mathematical concepts to real-world phenomena

Makes insightful connections between real-world contexts and mathematical ideas.

Makes meaningful connections between real-world contexts and mathematical ideas.

Makes simple connections between real-world contexts and mathematical ideas.

Makes minimal or weak connections between real-world contexts and mathematical ideas.
Problem Solving:
Make a Plan
Develops a thorough plan for solving the problem. Chooses an efficient and effective strategy. Develops a workable plan for solving the problem. Chooses an appropriate and workable strategy. Develops a basic plan for solving the problem. Chooses a simplistic and routine strategy.

Develops a minimal and/or flawed plan for solving the problem. Chooses an inappropriate or unworkable strategy.

Problem Solving:
Look Back
Verifies the solution and accurately determines appropriateness of the response. Verifies the solution and reasonably determines appropriateness of the response. Attempts to verify the solution and determine appropriateness of the response. Has difficulty verifying the solution.

 

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