M144
X And Y Axis
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Sign inX AND Y AXIS
A graph, also called coordinate grid, has two intersecting numbered lines or axes. The horizontal axis is called the x-axis. The vertical axis is called the y-axis. The point where the x-axis and y-axis intersect is called the origin.
Lyrics
X and Y axis
Hey kids Professor Eggbeard here today were going to talk about
The X and Y axis
Now before we get started the X and Y axis actually has a different name
Yes, yes it does it’s actually called the Cartesian coordinate system yes the Cartesian coordinate system yes
But instead of the long name we can say the x and y axis
Now, now, now the x and y axis is like using graph paper yes
Now on that graph paper whatever graph people you are using
Youre going to draw a horizontal line across
Now in the middle of the horizontal line you’re going to draw a vertical line up and down, up and down yes
Now the vertical line you drew is called the y axis
So that means the horizontal line you have drawn is called what?
The x axis of course
Now that you have drawn the graph right there in the middle where all for lines meet yes that is called the origin
Now from the origin you are going to see tiny boxes all over yes
From each box lying on that x and y axis
You’re going to put numbers on them starting from the middle of the origin
Going up and down, right and left from each box you see
Now to begin remember start from the origin
Now go to one in each direction of the axis
Now go to the next box which is two
Remember to put the number on the line not the box
Now the next one which is three and go on until your axis stops
Now remember you do have negative numbers
So some of the axis have to be negative because you want to put negative numbers on there as well
So all numbers on the left axis are negative
And all numbers on the bottom right axis are negative as well
So that means the other two sides are positive as well
Now, just like the alphabet the x comes before the y
So now if you want to graph coordinates such as 2, 1
You would go over 2 spaces and up 1
And also if you wanted to graph -2,-1
We move 2 spaces to the left and 1 space down, yes
Now, now, now before I end the lesson there is one more thing you should know
With each four lines there is also 4 quadrants
4 sections of the graph and those four quadrants you will label them in Roman numeral form
The first quadrant is the upper right of the axis
The second is the upper left of the axis
The third is the bottom left of the axis
And the fourth is the bottom right of the axis
Now this lesson I hope you have a better understanding of the X and Y axis
Signing off, Professor Eggbeard
Standards
- CCSS.MATH.CONTENT.8.EE.B.6 — Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.
- CCSS.MATH.CONTENT.8.G.A.4 — Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.
- CCSS.MATH.CONTENT.8.EE.C.8.A — Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.
- CCSS.MATH.CONTENT.8.G.A.3 — Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
- CCSS.MATH.CONTENT.7.RP.A.2.D — Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
- CCSS.MATH.CONTENT.6.NS.C.6 — Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.
- CCSS.MATH.CONTENT.8.EE.C.8.B — Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection.
- CCSS.MATH.CONTENT.8.G.B.8 — Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
- CCSS.MATH.CONTENT.6.NS.C.6.B — Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.
- CCSS.MATH.CONTENT.6.NS.C.8 — Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.
- CCSS.MATH.CONTENT.6.NS.C.6.C — Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.
- CCSS.MATH.CONTENT.8.EE.C.8.C — Solve real-world and mathematical problems leading to two linear equations in two variables.