PPT-§8.2 Adding and Subtracting Integers

042017 How do we use models to add and subtract integers How do we add or subtract integers without models Today Well Discuss One of the main reasons for having negative numbers is that they give us . Need two highlighters. 0. Positive. Negative. 5. - 5. Numbers increase in value from left to right. <. Owe . Below. Loss . Debt. Above . Gain . Received. Increase. Write an integer for each situation. Essential Question: How do we multiply integers? How do we divide integers?. Multiplying Integers . The product of two integers with the same sign is positive.. The product of two integers with different sign is negative.. Essential Question: How do you compare and order integers?. Key Vocabulary . Integers: all whole numbers and their opposites . Negative Integers: integers less than zero. Positive Integers: integers great than zero. The University of Texas at Dallas. INTRODUCTION TO INTEGERS. The University of Texas at Dallas. INTRODUCTION TO INTEGERS. Integers are positive and negative numbers.. …, -6, -5, -4, -3, -2, -1, 0, +1, +2, +3, +4, +5, +6, …. the Number Line. Comparing Rational Numbers. Integers. MCC6.NS.5: Understand that positive and negative numbers are used together to describe quantities having opposite directions or values.. MCC6.NS.6a: Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself , e.g., -(-3) = 3.. Adding, Subtracting, Multiplying, and Dividing Integers. Vocabulary. Integer- whole numbers and their opposites. Absolute value- A number’s distance from zero on a number line. Additive Inverse- The opposite of any number, x, is –x, and their sum is zero. http://. www.youtube.com/watch?v=m94WTZP14SA. Colin . Dodds. - Number Types (Math Song) . top. bottom. a. bove sea level . increase. decrease. below sea level . . Positive and Negative Integers. A. Soup – . er. mathematics. Adding integers. Option 1 . (SAME SIGN). . Add and take the sign of the bigger number.. Option 2. (DIFFERENT SIGNS). . Subtract and take the sign of the bigger number. Students will be able to use integers to represent the velocity and the speed of an object as evidenced by . the class discussion after watching a short video.. https://www.youtube.com/watch?v=M9NBZJR5tyo. TeacherTwins©2014. Warm Up. Add or subtract.. 1). . 2). . 3). . 4). . 5). Explain how to change the following problem to an addition problem and solve. .  . 6. 11. -6. -11. Leave, change , opposite 9+ 9 = 18. Identify and list integers.. Use the number line to order integers.. Add, subtract, multiply, and divide integers.. Use the number line to illustrate integer arithmetic.. Solve problems about integers.. Adding Integers. The sum of two positive integers is always positive. 5 4=9.. The sum of two negative integers is always negative. -5 (-3)= -8.. The sum of a positive integer and a negative integer is sometimes positive, sometimes negative and sometimes zero.. with Double Signs. We have been learning how to Add and Subtract Integers using: . Number Lines. Rules. Why Learn?. Well, let’s take a look at how a hike and a little “butterfly watching” ties this skill to the real world!. This is a class set. Do not make any marks on this document. . direction. Each of the students will need to record verbal model, expression, process and answer on notebook paper. Don’t forget the unit. .