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The document describes the Cartesian coordinate system, which uses perpendicular x and y axes that intersect at the origin (0,0) to locate points in a plane. Positive and negative numbers are used to indicate locations in the four quadrants formed by the axes. Ordered pairs (x,y) are used to specify points, with the x-value being the abscissa and y-value being the ordinate.

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Coordinate plane

Coordinate plane

Cartesian Coordinate System.pptx

Cartesian Coordinate System.pptx

cartesian plane by : joe olivare

cartesian plane by : joe olivare

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Coordinate plane

The document introduces the coordinate plane as a tool for working with equations in two variables. It explains how to create a coordinate plane by drawing perpendicular x and y axes that intersect at the origin, and using the axes to locate points on the plane using ordered pairs of numbers (x,y) as coordinates. It describes how to plot points by starting at the origin and counting along the x-axis and y-axis according to the x and y coordinates of the point. Finally, it divides the coordinate plane into four quadrants.

Cartesian Coordinate System.pptx

This document provides instructions for students on various topics:
- Prayer, respect, effort, attitude, cooperation, and honesty are emphasized.
- The Cartesian coordinate system is summarized, including that it was created by René Descartes in the 17th century to locate points on a plane using perpendicular number lines, ordered pairs, quadrants, and the origin.
- Students are given problems to determine points on the coordinate plane, solve systems of linear inequalities, and reminded of deadlines for assessments.
- Finally, students are instructed to advance their study of relations and functions.

cartesian plane by : joe olivare

This document provides information about the Cartesian plane (or Cartesian coordinate system) including:
- It specifies each point uniquely using a pair of numerical coordinates that represent the distance from the point to two fixed perpendicular axes.
- Rene Descartes invented the Cartesian coordinate system to plot ordered pairs (x,y) on a plane with perpendicular x and y axes intersecting at the origin (0,0).
- The x-coordinate represents the horizontal axis and the y-coordinate represents the vertical axis. Ordered pairs written as (x, y) locate a point by moving left/right along the x-axis and up/down along the y-axis from the origin.

Hoag Ordered Pairs Lesson

Students will be able to identify the parts of a coordinate grid and correctly graph an ordered pair on a grid.

Co-ordinate Geometry.pptx

Introduction to Co-ordinate Geometry
Mapping the plane
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Cartesian coordinates

Cartesian coordinates use a grid system to precisely locate points in space. A point is identified by its x and y coordinates, which indicate the distance from the origin point along the x-axis and y-axis. For example, the point (3,2) is located 3 units to the right of the origin along the x-axis and 2 units above the origin along the y-axis. The axes divide the plane into four quadrants, with points falling into different quadrants based on whether their x and y values are positive or negative. Cartesian coordinates provide a way to pinpoint locations using simple numbers.

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Rational functions are any functions that can be written as the ratio of two polynomial functions. There are two types of asymptotes for rational functions: vertical asymptotes, which occur at the zeros of the denominator and cannot be crossed, and horizontal asymptotes, which can be crossed. To find the vertical and horizontal asymptotes of a rational function, you examine the degrees of the numerator and denominator polynomials. The domain of a rational function is the set of x-values that make the function defined, while the range is the set of possible y-values produced by the function.

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Analytic geometry introduced in the 1630s by Descartes and Fermat uses algebraic equations to describe geometric figures on a coordinate system. It connects algebra and geometry by plotting points using a coordinate system with real number coordinates. This allows geometric shapes to be represented by algebraic equations which can be graphed. Key concepts include the Cartesian plane, slope, distance and midpoint formulas, and relationships between lines such as parallel, perpendicular and angles between lines based on their slopes.

Ies

The Cartesian Plane is made up of perpendicular x and y axes that intersect at their zero points. The x-axis represents the horizontal axis with positive numbers to the right and negative to the left. The y-axis represents the vertical axis with positive numbers above and negative below. The point where the axes intersect is called the origin. Any point on the plane can be located using an ordered pair of (x,y) coordinates representing the horizontal and vertical position. The plane is divided into four quadrants numbered counter-clockwise with quadrant I having positive x and y values and quadrant III having negative values for both.

History,applications,algebra and mathematical form of plane in mathematics (p...

The document provides information about planes and equations of planes. It defines a plane as a flat surface that extends indefinitely in width and height but has no thickness. Various plane shapes and their area formulas are described. Different forms of equations for a straight line including slope-intercept, point-slope, two-point, and standard forms are derived from the general linear equation. Two and three-dimensional Cartesian coordinate systems are also explained.

Term Paper Coordinate Geometry

The document provides a summary of coordinate geometry. It begins with definitions of key terms like the coordinate plane, axes, quadrants, and coordinates. It then discusses finding the midpoint, distance, and section formula between two points. Methods for finding the coordinates of the centroid and area of a triangle are presented. The document outlines different forms of equations for straight lines, including their slopes and the general equation of a line. It concludes with some uses of coordinate geometry, such as determining if lines are parallel/perpendicular.

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This is a professional looking presentation on coordinate geometry By Rahul Bera. It has 10 pages You can edit the name and can change to another from Rahul Bera to yours.

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This document provides an introduction to coordinate geometry and the Cartesian coordinate system. It defines key terms like coordinates, quadrants, and plotting points. The Cartesian plane is formed by the intersection of the x and y axes, with the origin at (0,0). Any point can be uniquely identified using an ordered pair (x,y) representing the distances from the x and y axes. Examples are given of plotting points and calculating distances between points on the plane using their coordinates. In summary, the document outlines the basic concepts of the Cartesian coordinate system used in coordinate geometry.

Co ordinate geometry

Analytic geometry is a branch of mathematics that uses algebraic equations to describe geometric figures in a coordinate system. It was introduced in the 1630s by René Descartes and Pierre de Fermat and allowed for the development of modern mathematics and calculus by linking algebra and geometry. The central idea is using a coordinate system to relate geometric points to real numbers, allowing geometric figures to be described by algebraic equations.

Rational functions

Rational functions have two types of asymptotes: vertical asymptotes which are found by making the denominator equal to zero, and horizontal asymptotes which come in three types based on the degrees of the numerator and denominator. To graph a rational function, you first find the vertical and horizontal asymptotes, then locate the x-intercepts, y-intercept and use a calculator to generate a table of values to graph points and draw the line. The domain is all real numbers except values making the denominator equal to zero, and the range is all real numbers.

Presentation on textile mathematics

The document discusses textile mathematics and different types of graphs used in textiles and the textile industry. It provides examples of linear graphs, pictographs, line graphs, bar graphs, and pie charts. It also defines what a graph is and discusses coordinates of graphs. Key types of relationships that can be displayed graphically include linear, periodic, exponential, and power functions.

coordinate geometry basics

Analytic geometry is a branch of mathematics that uses algebraic equations to describe geometric figures in a coordinate system. It was introduced in the 1600s by Descartes and Fermat and allowed geometry and algebra to be linked through coordinate systems. The Cartesian plane forms the basis of analytic geometry by allowing algebraic equations to be graphically represented through coordinate points and mapping geometric shapes like lines, circles, and conics to algebraic equations.

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This document provides basic concepts of analytic geometry for grades 10-12. It discusses how analytic geometry uses algebraic equations to describe geometric figures on a coordinate system, and how Rene Descartes and Pierre de Fermat independently developed its foundations in the 1630s. It also defines key concepts like the Cartesian plane, coordinates, slope, distance and midpoint formulas, and angle formulas for lines.

Coordinate plane

Coordinate plane

Cartesian Coordinate System.pptx

Cartesian Coordinate System.pptx

cartesian plane by : joe olivare

cartesian plane by : joe olivare

Hoag Ordered Pairs Lesson

Hoag Ordered Pairs Lesson

Co-ordinate Geometry.pptx

Co-ordinate Geometry.pptx

Cartesian coordinates

Cartesian coordinates

Beginning direct3d gameprogrammingmath01_primer_20160324_jintaeks

Beginning direct3d gameprogrammingmath01_primer_20160324_jintaeks

Rational functions

Rational functions

Analytic geometry basic concepts

Analytic geometry basic concepts

Ies

Ies

History,applications,algebra and mathematical form of plane in mathematics (p...

History,applications,algebra and mathematical form of plane in mathematics (p...

Term Paper Coordinate Geometry

Term Paper Coordinate Geometry

presentation on co-ordinate geometery

presentation on co-ordinate geometery

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Co ordinate geometry

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Rational functions

Presentation on textile mathematics

Presentation on textile mathematics

coordinate geometry basics

coordinate geometry basics

Maths presentation

Maths presentation

Analytic geometry basic concepts

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Cartesian Coordinate System.pptx

The document describes the Cartesian coordinate system, which uses perpendicular x and y axes that intersect at the origin (0,0) to locate and plot points on a plane. The x-axis divides the plane into positive and negative numbers, and likewise for the y-axis, creating four quadrants. Ordered pairs (x,y) are used to specify points, with the x-value being the abscissa and y-value being the ordinate.

Cartesian Coordinate System.pdf

The document describes the Cartesian coordinate system, which uses perpendicular x and y axes that intersect at the origin (0,0) to locate points in a plane. Positive and negative numbers are used to indicate locations in the four quadrants formed by the intersecting axes. Ordered pairs (x,y) are used to specify points, with the x-value being the abscissa and y-value being the ordinate.

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ANTIDERIVATIVES OF TRIGONOMETRIC FUNCTIONS.pptx

This document provides examples of calculating antiderivatives (indefinite integrals) of trigonometric functions. It defines the basic trigonometric functions of sine, cosine, tangent, cosecant, secant, and cotangent. It then shows the step-by-step workings for finding antiderivatives of expressions involving trigonometric functions, such as (cos x - sin x) dx, cot^2x dx, tan^2x dx, sin x / cos^2x dx, (8cos x + 3 sin x) dx, and (4sec^2x - sec x tan x) dx. The document aims to demonstrate the process of calculating antiderivatives of trigon

Cartesian Coordinate System.pptx

The document describes the Cartesian coordinate system, which uses perpendicular x and y axes that intersect at the origin (0,0) to locate and plot points on a plane. The x-axis divides the plane into positive and negative numbers, and likewise for the y-axis, creating four quadrants. Ordered pairs (x,y) are used to specify points, with the x-value being the abscissa and y-value being the ordinate.

LDS 1. CMF.docx

This document is a learner's development sheet for a 8th grade mathematics student. It details an activity on factoring polynomials with a common monomial factor, including 6 practice problems of varying difficulty. The sheet tracks the student's progress in factoring expressions under easy, average, and hard levels and includes a process question asking how they factored each level.

Cartesian Coordinate System.pptx

Cartesian Coordinate System.pptx

Cartesian Coordinate System.pdf

Cartesian Coordinate System.pdf

ANTIDERIVATIVES OF TRIGONOMETRIC FUNCTIONS.pdf

ANTIDERIVATIVES OF TRIGONOMETRIC FUNCTIONS.pdf

ANTIDERIVATIVES OF TRIGONOMETRIC FUNCTIONS.pptx

ANTIDERIVATIVES OF TRIGONOMETRIC FUNCTIONS.pptx

Cartesian Coordinate System.pptx

Cartesian Coordinate System.pptx

LDS 1. CMF.docx

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- 2. A Cartesian plane is a graph with one x-axis and one y-axis (that’s why it’s sometimes called an X Y graph). These two axes are perpendicular to each other. The origin (O) is in the exact center of the graph. Numbers to the right of the zero on the x- axis are positive; numbers to the left of zero are negative. For the y-axis, numbers below zero are negative and numbers above are positive. What is Cartesian Coordinate System/Cartesian Plane?
- 3. ● First Quadrant = Top right. ● Second Quadrant = Top left. ● Third Quadrant = Bottom left. ● Fourth Quadrant = Bottom right. Fun fact: The invention of this system was revolutionary for its time. It gave us the first systematic link between algebra and geometry. Cartesian Plane Quadrants
- 4. ● Ordinate and abscissa refer to ordered pairs on a Cartesian plane. ● The abscissa is the x- value (the first number in an ordered pair). ● The ordinate is the y- value (the second number in an ordered pair). Ordinate and Abscissa on a Cartesian Plane
- 5. What is an Origin? It is often denoted by O, and the coordinates are always zero. In one dimension we simply write the origin as 0; it’s the point where we start numbering on a number line. You can go in either of two directions: ● Going left, you would count off negative numbers ● Going right, you would count off with positive numbers. Either way you can go an infinite distance (to infinity or negative infinity). A number line showing the distance between -1 and 1. 0 is in the center.
- 6. In two dimensions, using the Cartesian plane, an origin is the point where the x and y axes intersect. This point is written as (0, 0). Origin on a Cartesian Plane
- 7. Practice Problem Locate below points on the Cartesian Coordinate System. Also, mention the quadrant points belong to. (i) (2, 3) (ii) (-3, 1) (iii) (-1.5, -2.5) (iv) (0,0)
- 9. Performance Task You are both architects and engineers, and you work for the Engineering Department of your local municipality. Your department head has charged you with the responsibility of delivering to the barangay captains in your town a three-dimensional miniature model of a business that is doing very well commercially. Be guided to the location of the establishments: 1. School (1,3); Quadrant 1 2. Milktea Shop (5,-4); Quadrant 4 3. Shopping Mall (-4,-2); Quadrant 3 4. Amusement Part (-3,4); Quadrant 2 5. Clinic (0, -10); y-axis