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# Real World Examples on Application of Integers

## Introduction

### What do golf, football, bankers, and the weather all have in common?

The following activity is a Guided Tour which is intended to answer this question. Its purpose is to guide the users through a series of activities that will familiarize them with integers, the rules and some real life applications. In doing so, the users begin their exploration of algebra by building a solid foundation in their understanding of integers and evaluating the significance of integers in their mathematical success.

### Real Life Applications

• Weather - Look at the U.S. cities that are listed beginning with Albuquerque. The two temperatures represent the high and low temps. of the day. Identify the city that has the largest change in temperature and the city that has the smallest change.

• National Debt - As you read the site, pay close attention to the big red number. That is our national debt, which is a HUGE negative number! Write a number that increases the debt! Be careful!!

• Checkbook balancer - Scenario:
You are a high school graduate who lives at home and works at McDonald's making \$5.50/hr. You work 40 hrs. a week and bring home about \$165/wk and \$660/month after taxes. Your expenses are rent:\$150, car payment:\$125, car insurance: \$75, clothes:\$105, food:\$70, cell phone:\$50, going-out(movies, etc.):\$100, misc.(gas,etc.):\$55. Calculate your expenses and determine whether or not you make enough to afford your life style. If not discuss, some options or areas of cut back needed to live off of your salary. Explain where you would cut back, the new amount you would spend and why you chose these areas. Remember, determine the difference between necessity and want. Be realistic because you can't live with momma forever!

Check Book Project Click Here- An excellent way to make math meaningful and relevant to your students. It's realistic simulation of personal finance. The full project involves a 16-page packet for each student. This includes an explanation of each approximately 20 expenses and a discussion of income and deductions (taxes and insurance). There is a lot of detailed information in here and teachers should not underestimate the commitment involved in using the full project.

• Golf Leaders - The game of golf is different in that the lower the integer the better the score. Click a sub heading to see a leaderboard. Notice the top golfers have the lower integers. Can you think of any other instances where a negative number is 'positive'? Explain your position! Integer Golf Game
• Math Forum: Negative Numbers in the Real World

• Integer Football Game: Play this fun game and get ready for a kickoff of intensive integer computation practice.

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## Notes

### Figure This Challenge #56

• Complete Solution will be given on May 17, 2015

Complete Solution:

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Created by Wanda Collins May 10, 2015 at 1:56pm. Last updated by Wanda Collins May 10, 2015.

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# Math Limerick

Question: Why is this a mathematical limerick?

( (12 + 144 + 20 + 3 Sqrt[4]) / 7 ) + 5*11 = 92 + 0 .

A dozen, a gross, and a score,
plus three times the square root of four, divided by seven, plus five times eleven, is nine squared and not a bit more.

---Jon Saxton (math textbook author)

Presentation Suggestions:
Challenge students to invent their own math limerick!

The Math Behind the Fact:
It is fun to mix mathematics with poetry.

Resources:

Su, Francis E., et al. "Math Limerick." Math Fun Facts.

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