An Internet Hotlist on Integers
created by Brandon Spontak
Oscar Smith High School
| What are integers?
| Comparing and Ordering
| Rules: Adding and Subtracting
| Interactive Practice
| Real Life Applications
What do golf, 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.
The Internet Resources
What are integers?
- What are integers?
- As you follow the steps of the tutorial, complete the following questions:
- What is an integer?
- Using your previous knowledge of whole numbers, name one similarity and one difference between whole numbers and integers.
- What is an absolute value? Do opposites have the same or different absolute values? Explain.
- Name 3 additional real life applications of integers.
Comparing and Ordering
- Comparing and Ordering
- Review the site and answer:
- Draw and label a number line from -10 to 10. (Don't forget to label the positive and negative sides.) What is the significance of the arrows at the end of the number line?
- How can you determine which number is larger?
- Complete the 5 practice problems at the bottom of the page. Discuss your comprehension of comparing and ordering integers.
Rules: Adding and Subtracting
- Rules: Adding and Subtracting
- After reading the examples for addition and subtraction, write the rules for each operation in your own words.
- Create and solve 5 addition problems and 5 subtraction problems.
- Using your knowledge of the integer rules, solve the following problem:
Cathy deposits her weekly earnings of $189 into her checking account. Then she writes checks of $112 for her new Air Jordans, $42 for new jeans and $89 for her boyfriend's basketball jersey. Discuss Cathy's money situation and the options she has so she will not bounce a check.
- Interactive math
- Complete ten questions in the addition and subtraction of integers sections. Upon completion, evaluate your comprehension of the integer rules for addition and subtraction. Explain what you should do to improve your understanding of this concept. (Ex: I got all 10 addition problems correct, but only 2 correct in the subtraction section. I need to study my subtraction rules tonight!)
- Integer Competition
- In this activity you will need a partner to compete against. Either adjust your difficulty to easy, medium, or hard depending on your confidence in integers. Now check just the boxes with just additon and subtraction of integers. Now hit start game. Remember there is a time limit. If it is too difficult, then hit the back arrow and set the difficulty level to easy. You are competing against each other so don't help your opponent. Play the best of three. Who ever loses must study their integer rules a little more!
Real Life Applications
- 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
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!
- 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!
Content by Brandon Spontak, firstname.lastname@example.org
Last revised Sat Nov 29 10:36:15 US/Pacific 2003