PPT-2.1 Solving Problems by Creating an Equation

Solving a Problem by Creating an Equation Toucans and blueandyellow macaws are both tropical birds The length of an average toucan is about two thirds of the length of an average blueandyellow macaw Toucans are about 24 in long What is the length of an average blueandyellow macaw. Solving Percent Problems by Using the Equation: R . ×. B = A. Objectives. Understand the equation . R. . ×. . B. = . A. .. Use the equation . R. . ×. . B. = . A. to solve percent problems.. Lesson Objective:. An equation is like a set of scales.. To keep it balanced, whatever you. do to one side you must do to the other.. Use this idea to solve equations like:. 3x + 1 = x + 7 . 2 (3x + 1) = 3 (x – 2). (in three variables). Section 1.4 beginning on page 30. A Linear Equation in Three Variables. What Does This Look Like?. Solving Algebraically. Examples. Solve each system:. Example 1: . Example 2 : . Multiplication . Equations. 3-3 Solving . Multiplication . Equations. Solve. Solution. GOAL. Find the value of the variable that makes the. equation TRUE.. The value that makes the equation true.. To isolate the variable (have the variable on one. Solving for the Unknown: A How-To Approach for Solving Equations. Copyright © 2014 by The McGraw-Hill Companies, Inc. All rights reserved.. McGraw-Hill/Irwin. LU 5-1: Solving Equations for the Unknown. Solving an Absolute Value Equation. You have already used graphs and mental math to solve some absolute value equations. For instance:. 8 and -8. This has two solutions:. Solving an Absolute Value Equation. (in three variables). Section 1.4 beginning on page 30. A Linear Equation in Three Variables. What Does This Look Like?. Solving Algebraically. Examples. Solve each system:. Example 1: . Example 2. : . Mathematical Language. A . solution. of an equation is a number that make the equation true. 3x+2=17. To . solve. an equation means to find all its solution. Two equations are equivalent if they have the same solutions. Equations Using Algebra Tiles . Objectives. Solving Equations Involving the Distributive Property. Solving Multi-Step Equations. Solving Equations. The development of the equation solving model is based on two ideas.. : active efforts to discover what must be done to achieve a goal that is not readily attainable. TYPES OF PROBLEMS. Problems of inducing structure. : relations among numbers, words, symbols, ideas. Problems of arrangement. The Problem with problem-solving research. “In field research, there is often too much [complexity] to allow for definitive conclusions, and in laboratory research, there is usually too little complexity to allow for any interesting conclusions”. What we will learn. Solve linear equations using addition and subtraction. Solve linear equations using multiplication and division. Use linear equations to solve real-life problems. Needed Vocab. Equation:. been discussed primarily as a process This has been expressed by a number of scholars generally as the interdisciplinary process or more specix00660069cally as the interdisciplinary research process R Differential Equations. In this class we will focus on solving ordinary differential equations that represent the physical processes we are interested in studying. With perhaps a few exceptions the most complicated differential equation we will look at will be second order, which means it will look something like.