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)
Try it by yourself:
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).
MA6-WEEK11-CARTESIAN-PLANE-COORDINATE-SYSTEM
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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
y-axis
Origin (0,0)
x-axis
Quadrants
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)
Try it by yourself:
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: