PPT-Lesson 1.7 Multiplying and Dividing Integers

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. 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 . 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. MAFS.3.OA.3.7. Lesson Opening. Solve the two problems below. Write the equation you used to solve the problem.. Jason ate 2 bags of candies. Each bag contained 9 candies. How many candies did Jason eat?. Students who cannot easily memorize rules tend to not do as well in math.. Students who can memorize rules tend to do better in math, but do not always understand HOW or Why the math works. . What are some rules that we teach students?. 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. 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.. SOL A.2b. REVIEW. Represent . Polynomials Using Algebra . Tiles. Represent x. 2. 3. 2) Represent x. 2. 4x – 2. . REVIEW. Represent . Polynomials Using Algebra . Tiles. 3) Represent 3x. We are learning to divide . fractions . using related multiplication.. 2. When would you divide fractions?. One example is when you are trying to figure out how many episodes of your favorite ½ hour tv program you could watch in the 1 ½ hrs you have available. . 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 and Dividing Fractions This session will be recorded for learning purposes.  Learning purposes include: a lesson review for students who are absent, students who want to review for a test, etc. Multiplying Decimals Example: 5.63 x 3.7 5 . 63 3 . 7 x 1 2 4 4 39 0 9 8 1 16 + 1 3 1 8 1 0 1 2 two one three . You do not line up the factors by the decimal. Instead, place the number with more digits on top. Slides 13-15: . Workbook Introduction Problem p. 55 . Slide 16: . Workbook Practice. . p. 57-58. Multiplying Multi-Digit Numbers. Enhanced Learning Task. What do we know?. . What do we need to find?.