PPT-Algebra

By Pedro Cuellar ONLY The Golden Rule Whatever you do to one side you do to the other 2X515 or 5X54130 How would you solve the following two equations What would be the recommended strategy to find out the answer. Arithmetic Operations The real numbers have the following properties Commutative Law Associative Law Distributive law In particular putting in the Distributive Law we get and so EXAMPLE 1 a b c If we use the Distributive Law three times we get This This is the basic theory behind how PSpice handles linear circuits and linear smallsignal approximations of nonlinear circuits Th e basic techniques are also widely used in many types of linear analysis found in physics and engineering ele ctrical o Abstraction . and Recursions in . Process . Algebra . Suzana Andova. Outline of the lecture. Combining silent steps with recursion. Fairness rules. Some examples . Fairness: is this what it is really about?. How can we use it?. PEC. . 2015. What topics can we use it for?. by . Chizuko. Matsumoto & Sweeny Term. Chapter-Lesson . Topic. 2-1. Model One-Step Equations. 2-4. Model Equations with Variables on Both Sides. Tony Hoare. Feb 2012. With Ideas from. Ian Wehrman. John Wickerson. Stephan van . Staden. Peter O’Hearn. Bernhard Moeller. Georg Struth. Rasmus Petersen. …and others. and Calculi from. Robin Milner. Developing Relational Thinking in the Primary Grades. Relational Thinking. Students who can express a number in terms of other numbers and operations on those numbers hold a . relational understanding of the number. Susan Staats. Associate Professor-Math. University of Minnesota. staats@umn.edu. Interdisciplinary math is…. Different from “math in context.”. Different from an application.. Must support learning that is significant in a partner discipline.. Copyright © 2013 American Institutes for Research. All rights reserved.. January 31, 2017. Examining Research and Practitioners’ Perspectives. Welcome. Kirk Walters, Moderator, AIR. 2. Present findings from recent U.S. Dept. of ED-funded project on promoting success in algebra for struggling students. Operations on Functions and Analyzing Graphs. College Algebra Chapter 3.1 The algebra and composition of functions. Sums and Differences of Functions. For functions f and g with domains of P and Q respectively, the sum and difference of f and g are defined by:. Blocks . 1, 3, . 7. Mr. Maines. mark.maines@lcps.org. LCHS Raiders. Welcome Raiders!. About me. 13. th. . year teaching – . 2. nd. at . LCHS. Undergrad degree in electrical engineering from the University of Dayton. Using Algebra Tiles to Solve Equations, Combine Like Terms, and use the Distributive Property. Important Vocabulary! . Equation –. An equation is a mathematical statement that uses an equal sign to show that two expressions have the same value.. 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. Test Design. Performance Level Indicators. Algebra 1 . Keystones. Eligible Content – Test Design – Performance Level Indicators. Ms. Clarkson. Ms. . Hetrick. Ms. Sirio. Eligible Content. Eligible . -4 x - 2 y = -12 4 x + 8 y = -24 2) 4 x + 8 y = 20 -4 x + 2 y = -30 3) x - y = 11 2 x + y = 19 4) -6 x + 5 y = 1 6 x + 4 y = -10 5) -2 x - 9 y = -25 -4 x - 9 y = -23 6)