PPT-Lesson 2.2.3 Adding and Subtracting Integers

with Double Signs We have been learning how to Add and Subtract Integers using Number Lines Rules Why Learn Well lets take a look at how a hike and a little butterfly watching ties this skill to the real world. On the number line the . Numbers have a greater value. As you go to the right.. -6 –5 –4 –3 –2 –1. 0 1 2 3 4 5. Review. Integers. -1 is the largest negative. number.. All Positive numbers are . 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. Rational Expressions. Adding & Subtracting . Rational Expressions . with the Same Denominators. Finding the LCD of 2 or more Polynomial Denominators. Adjusting . Opposite Factors . in Denominators. 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. Student Expectation. 7. th. Grade:. 7.1.2C. Use . models, such as concrete objects, pictorial models, and number lines, to add, subtract, multiply, and divide integers and connect the actions to algorithms. . 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. 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.. Gaussian Integers and their Relationship to Ordinary Integers Iris Yang and Victoria Zhang Brookline High School and Phillips Academy Mentor Matthew Weiss May 19-20th, 2018 MIT Primes Conference GOAL: prove unique factorization for Gaussian integers (and make comparisons to ordinary integers) Multiplying Polynomials. Dominos. Dividing Polynomials. using Long Division and Synthetic Division. Birthday. Polynomial Poster. Characteristics. of Polynomials. Complete. the Chart. Characteristics of Polynomials.