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MA6-WEEK11-CARTESIAN-PLANE-COORDINATE-SYSTEM

VIMSCHOOL

Created on April 23, 2024

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Transcript

Cartesian Plane Coordinate System

Objectives

Start

Story

Cartesian Plane

Plotting Points

Plotting Rational Pair Coordinates

Summary

Story

Cartesian Plane

Axes of Coordinate Plane

  • There are two axes: the x-axis (horizontal) and the y-axis (vertical).
  • In any axis we located the integer and the rational numbers
y-axis
Origin (0,0)
x-axis

Quadrants

  • We can divide the cartesian plane in four parts
Quadrant I
Quadrant IV
Quadrant III
Quadrant II

Plotting points (integer coordinates)

Ordered pairs (integer numbers)

We are going to locate the follow ordered pairs
(1,0)
(2,1)
(-1,0)
(-2,-1)

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Plotting points (rational coordinates)

Ordered pairs (rational numbers)

We are going to locate the following ordered pairs.
(1/2,0)=(0.5,0)
(-1/2,0)=(-0.5,0)
(2/5,11/4)=(0.4,2.75)
(-4/5,-1/2)=(-0.8,-0.5)

Try it by yourself:

Ordered pairs (mixed numbers)

We are going to locate the following ordered pairs.
(1(1/2),0)=(1.5,0)
(-1(1/2),0)=(-1.5,0)
(2(2/5),1(1/4))=(2.4,1.25)
(-1(4/5),-1/2)=(-0.8,-0.5)

Try it by yourself:

Practice

Try it by yourself:

Summary

Origin (0,0)
Cartesian plane ( x and y axis)
Representation of ordered pair (example (0,1))
Quadrant I
Quadrant IV
Quadrant III
Quadrant II
Four quadrants

Great job!

See you next time

Welcome 6th graders!

A journey soon begin through Social Science experiences!

6TH-CARTESIAN-PLANE-COORDINATE-SYSTEM-EN © 2024 by CASURID is licensed under CC BY-NC-ND 4.0

Standard 1: Extend previous understanding of numbers to define rational numbers. Plot,order and compare rational numbers. MA.6.NSO.1.1 Extend previous understanding of numbers to define rational numbers. Plot, order and compare rational numbers. Standard 1: Apply previous understanding of the coordinate plane to solve problems. MA.6.GR.1.1 Extend previous understanding of the coordinate plane to plot rational number ordered pairs in all four quadrants and on both axes. Identify the x- or y-axis as the line of reflection when two ordered pairs have an opposite x- or y-coordinate.

MATERIAL

It is highly advised to have:

  • Grid paper.
  • Pencils of different colors.
  • Eraser.
  • A rule.
  • Geogebra installed on your phone/tablet/computer (or use online version).