PPT-Integers II

CSE 351 Spring 2017 Instructor Ruth Anderson Teaching Assistants Dylan Johnson Kevin Bi Linxing Preston Jiang Cody Ohlsen Yufang Sun Joshua Curtis httpxkcdcom571 Administrivia. 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.. Solve . n . + (. n . + 2) = 14. 9. 6 & 8. Carrie had $32 when she got to the carnival. After riding. 6 rides, she had $20 left. Solve 32 - 6. x . = 20 to find the. price for each ride.. Alg.. If David’s brother is 3 years older, and the sum of their. 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.. 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. 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. 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. 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.. What are Integers?. Integers are the whole numbers and their opposites.. …-3, -2, -1, . 0, 1, 2, 3… . Yesterday…. We learned to add integers using models such as number lines and integer tiles.. 6.3 . The student will. a) identify and represent integers;. b) order and compare integers; and. c) identify and describe absolute value of integers.. Above Sea Level. Sea Level. Below Sea Level. Image from http. 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)