Unit Zero: Integer Rules

Introduction

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How often do you we integers in our daily routines? Some would say, never, but that is so far from the truth! We use Integers every day when checking the temperature, playing a variety of games, or even watching sports!

Can you use the knowledge you have learned in the classroom to identify and work with integers that are found in your everyday world? Through the listed activities you will explore and dive into positive and negative numbers and answer the following overarching questions:

1. What rules exist for performing operations with integers?

2. What is the connection between negative numbers and the real world?  

3. How can I prove to myself that these rules are true?

 

Open https://goo.gl/forms/DIFe1aBwo1eI5NtK2. This is your digital answer document for the Integer Webquest. 

 

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GRADE 7 STANDARD

Number Sense 1.2 Add, subtract, multiply, and divide rational numbers (integers, fractions, and terminating decimals) and take positive rational numbers to whole-number powers.

ALGEBRA 1 STANDARD

Standard 3  Students identify and use the arithmetic properties of subsets of integers and rational, irrational, and real numbers, including closure properties for the four basic arithmetic operations where applicable.

Task

The task of this assignment is to use the resources to increase your knowledge on integer rules and be able to answer the listed questions. Each answer must be well written and in your own words. 

Section 1: Coordinate Plane 

Section 2: History of Negative Numbers

Section 3: Rules for Integer Operations

Section 4: Integers and Everyday Life

Section 5: Practice with Integers (Evaluation)

Section 6: Word Problems (Conclusion)

 

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Process

The table below lists a variety of different resources you will use throughout this quest. Please take advantage of them and use them as a guide to answer your questions correctly to receive full credit. 

Section Title         Resource Link
     
1 Stock the Shelves http://mrnussbaum.com/stockshelves
1 Coordinate Plane Review http://www.math-play.com/Coordinate%20Plane%20Game/Coordinate%20Plane%20Game.html
2 History of Negative Numbers http://www.ma.utexas.edu/users/mks/326K/Negnos.html
2 Etymology Dictionary http://www.etymonline.com/
2 Real Numbers http://www.classzone.com/books/algebra_1/page_build.cfm?content=links_app3_ch2&ch=2
2 Math Goodies: Subtraction http://www.mathgoodies.com/lessons/vol5/subtraction
4 Application of Integers http://mathcentral.uregina.ca/beyond/articles/Integers/integer1.html
4 Integer Blog 1 http://mathforum.org/library/drmath/view/59049.html

Section One: Coordinate Plane

Answer the corresponding questions on the Google Document. 

Section Two: History of Negative Numbers

Answer the corresponding questions on the Google Document. 

Questions to be researched: 

1. Which cultures were the first to use negative integers and what contributions did they make?

2. When was the word integer introduced?

3. What does the word integer mean in Latin?

4. What is the symbol for integers, where does it come from and what does it mean?

Section Three: Rules for Integer Operations

Answer the corresponding questions on the Google Document. 

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Section Four: Integers and Everyday Life

Answer the corresponding questions on the Google Document. 

 

 

Evaluation

Review your integer skills by playing the listed games below. Once you are comfortable, continue with the assessment on the Google Document. 

Rags to Riches: https://www.quia.com/rr/41496.html

Car Racing: https://www.funbrain.com/games/math-car-racing

Walk the Plank: http://www.math-play.com/integers-game.html

Spider Match: http://www.arcademics.com/games/spider-match/spider-match.html

 Portfolio Rubric

Beginning
0-1 Points

Developing
2-5 Points

Qualified
6-9 Points

Exemplary
10 Points

Score

Google Doc

Unorganized

Slightly Organized

Mostly Organized

Very Organized

 

Process 1 Completed

Student did not use any vocabulary words

Student uses 1-2 vocabulary words

Student uses 3-4 vocabulary words

Student uses all 5+ vocabulary words

 

Process 2 Completed

Student did not copy down examples from video or explain rules for adding and subtracting using negative numbers in his/her own words

Student copied down examples from video, but did not explain rules for adding and subtracting using negative numbers in his/her own words

Student explained rules for adding and subtracting in his/her own words, but did not copy down examples from video

Student copied down examples from video, and explained rules for adding and subtracting using negative numbers in his/her own words

 

Process 3 Completed

Student answered one of the questions in his/her explanation of multiplying and dividing using negative numbers

Student answered two of the questions in his/her explanation of multiplying and dividing using negative numbers

Student answered three of the questions in his/her explanation of multiplying and dividing using negative numbers

Student answered four of the questions in his/her explanation of multiplying and dividing using negative numbers

 

Conclusion

Student provided 0 examples of positive and/or negative integers and did not write a word problem using integers

Student provided 1 example of positive and/or negative integers and wrote a word problem using integers

Student provided 2 examples of positive and/or negative integers and used a word problem template using integers

Student provided 3 examples of positive and/or negative integers and all 3 problems are word problems

 

 

Conclusion

You have reached the end! Answering these reflective questions will allow me to see your thoughts and see how well you truly understanding Integers and their perspective rules during operations.

1. What rules exist for performing operations with integers?

2. What is the connection between negative numbers and the real world?  

3. How can I prove to myself that these rules are true?

 

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Credits

Dr. Gannon - Webquest Assignment (Piedmont College)

Brown Middle School

Lincoln Middle School

Houghton Mifflin Harcourt

Georgia Standards of Excellence

Teacher Page

Hello! Thank you for participating in an Integer Webquest created by me, Mrs. Poole! For the past four years, I have taught Pre-Algebra and Algebra 1. Of course, Math is my favorite subject and I absolutely love teaching it! It brings me so much joy when I get to see student's problem solving skills drastically develop right before my eyes!