Copyright © 2011 Pearson, Inc. P.2 Cartesian Coordinate System.

Slides:



Advertisements
Similar presentations
Copyright © 2011 Pearson, Inc. 6.6 Day 1 De Moivres Theorem and nth Roots Goal: Represent complex numbers in the complex plane and write them in trigonometric.
Advertisements

1.1 The Cartesian Plane Ex. 1 Shifting Points in the Plane Shift the triangle three units to the right and two units up. What are the three.
Section 1.1 The Distance and Midpoint Formulas. x axis y axis origin Rectangular or Cartesian Coordinate System.
2 Graphs and Functions © 2008 Pearson Addison-Wesley. All rights reserved Sections 2.1–2.4.
6.5 Complex Numbers in Polar Form. Copyright © 2014, 2010, 2007 Pearson Education, Inc. 2 Objectives: Plot complex number in the complex plane. Find the.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide
Distance and Midpoint Formulas; Circles
P.2 Cartesian Coordinate System
Chapter 1 Functions and Graphs Copyright © 2014, 2010, 2007 Pearson Education, Inc Distance and Midpoint Formulas; Circles.
1-7: Midpoint and Distance in the Coordinate Plane
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide P- 1.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 2.1 The Distance and Midpoint Formulas.
Chapter 1 Functions, Graphs, and Limits. Copyright © Houghton Mifflin Company. All rights reserved.1 | 2 Figure 1.1: The Cartesian Plane.
{ Chapter 1: Functions and their Graphs 1.1 Rectangular Coordinates and 1.2 Graphs of Equations.
Copyright © 2007 Pearson Education, Inc. Slide 1-1.
Copyright © 2011 Pearson, Inc. P.2 Cartesian Coordinate System.
Sullivan Algebra and Trigonometry: Section 2.1 Rectangular Coordinates Objectives Use the Distance Formula Use the Midpoint Formula.
Copyright © 2011 Pearson, Inc. 8.6 Three- Dimensional Cartesian Coordinate System.
Chapter 1, Section 6. Finding the Coordinates of a Midpoint  Midpoint Formula: M( (x1+x2)/2, (y1+y2)/2 )  Endpoints (-3,-2) and (3,4)
Copyright © 2009 Pearson Education, Inc. CHAPTER 1: Graphs, Functions, and Models 1.1 Introduction to Graphing 1.2 Functions and Graphs 1.3 Linear Functions,
Copyright © 2011 Pearson, Inc. 6.6 De Moivre’s Theorem and nth Roots.
Copyright © 2011 Pearson, Inc. 9.2 The Binomial Theorem.
Copyright © 2011 Pearson, Inc. 2.4 Real Zeros of Polynomial Functions.
Chapter 2 Functions and Graphs Copyright © 2014, 2010, 2007 Pearson Education, Inc Distance and Midpoint Formulas; Circles.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 8.1 Sequences.
Copyright © 2011 Pearson, Inc. 6.4 Polar Coordinates.
Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Chapter 12: Vectors Cartesian.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Quadratic Equations.
P7 The Cartesian Plane. Quick review of graphing, axes, quadrants, origin, point plotting.
Copyright © 2011 Pearson, Inc. 8.4 Translation and Rotation of Axes.
Copyright © 2011 Pearson Education, Inc. Equations and Graphs in Two Variables Section 1.3 Equations, Inequalities, and Modeling.
Copyright © 2011 Pearson, Inc. P.5 Solving Equations Graphically, Numerically and Algebraically.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley P.3 Linear Equations and Inequalities.
Copyright © 2011 Pearson, Inc. P.3 Linear Equations and Inequalities.
Copyright © 2011 Pearson, Inc. 7.1 Solving Systems of Two Equations.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 6.5 Logistic Growth.
Section 1.1 Introduction to Graphing Copyright ©2013, 2009, 2006, 2001 Pearson Education, Inc.
Find the equation of the line with: 1. m = 3, b = m = -2, b = 5 3. m = 2 (1, 4) 4. m = -3 (-2, 8) y = 3x – 2 y = -2x + 5 y = -3x + 2 y = 2x + 2.
Chapter 1 Functions and Graphs Copyright © 2014, 2010, 2007 Pearson Education, Inc Distance and Midpoint Formulas; Circles.
Pre-Calculus Coordinate System. Formulas  Copy the following formulas into your notes. –Distance Formula for Coordinate Plane –Midpoint Formula for Coordinate.
Slide Copyright © 2009 Pearson Education, Inc. 6.9 Continued Solving Quadratic Equations by Using Factoring and by Using the Quadratic Formula.
Copyright © 2011 Pearson, Inc. 2.5 Complex Zeros and the Fundamental Theorem of Algebra.
Copyright © 2011 Pearson Education, Inc. Trigonometric Form of Complex Numbers Section 6.2 Complex Numbers, Polar Coordinates, and Parametric Equations.
 Then: You graphed points on the coordinate plane.  Now: 1. Find the distance between points. 2. Find the midpoint of a segment.
Copyright © 2011 Pearson, Inc. 3.3 Logarithmic Functions and Their Graphs.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. MATH 108 Section Coordinate Plane and Graphs.
1-7: Midpoint and Distance in the Coordinate Plane
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
First, recall the Cartesian Plane:
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Distance and Midpoints
Coordinate Geometry Notes Name:____________________________
Cartesian Coordinate System
Functions, Graphs, and Limits
P.5 The Cartesian Plane Our goals are to learn
Chapter 1: Lesson 1.1 Rectangular Coordinates
Precalculus Essentials
1.7 Midpoint and Distance in the Coordinate Plane
The Distance and Midpoint Formulas
The Distance Formula     Understand horizontal/vertical distance in a coordinate system as absolute value of the difference between coordinates;
Section 10.1 Polar Coordinates
Chapter 9 Section 8: Equations of Circles.
Introduction to Graphing
Cartesian Coordinate System
The Distance and Midpoint Formulas
Rectangular Coordinates
Sullivan Algebra and Trigonometry: Section 2.1
Circles in the Coordinate Plane
1.7 Midpoint and Distance in the Coordinate Plane
The Distance Formula     Understand horizontal/vertical distance in a coordinate system as absolute value of the difference between coordinates;
Presentation transcript:

Copyright © 2011 Pearson, Inc. P.2 Cartesian Coordinate System

Copyright © 2011 Pearson, Inc. Slide P What you’ll learn about Cartesian Plane Absolute Value of a Real Number Distance Formulas Midpoint Formulas Equations of Circles Applications … and why These topics provide the foundation for the material that will be covered in this textbook.

Copyright © 2011 Pearson, Inc. Slide P The Cartesian Coordinate Plane or Rectangular Coordinate System          

Copyright © 2011 Pearson, Inc. Slide P Quadrants         

Copyright © 2011 Pearson, Inc. Slide P Absolute Value of a Real Number

Copyright © 2011 Pearson, Inc. Slide P Example Using the Definition of Absolute Value

Copyright © 2011 Pearson, Inc. Slide P Solution

Copyright © 2011 Pearson, Inc. Slide P Properties of Absolute Value

Copyright © 2011 Pearson, Inc. Slide P Distance Formula (Number Line)

Copyright © 2011 Pearson, Inc. Slide P Distance Formula (Coordinate Plane)

Copyright © 2011 Pearson, Inc. Slide P The Distance Formula using the Pythagorean Theorem

Copyright © 2011 Pearson, Inc. Slide P Example Finding the Distance Between Two Points                        

Copyright © 2011 Pearson, Inc. Slide P Solution                        

Copyright © 2011 Pearson, Inc. Slide P Midpoint Formula (Number Line)

Copyright © 2011 Pearson, Inc. Slide P Midpoint Formula (Coordinate Plane)

Copyright © 2011 Pearson, Inc. Slide P Standard Form Equation of a Circle

Copyright © 2011 Pearson, Inc. Slide P Standard Form Equation of a Circle

Copyright © 2011 Pearson, Inc. Slide P Example Finding Standard Form Equations of Circles

Copyright © 2011 Pearson, Inc. Slide P Example Finding Standard Form Equations of Circles

Copyright © 2011 Pearson, Inc. Slide P Quick Review

Copyright © 2011 Pearson, Inc. Slide P Quick Review Solutions