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lesson on intergers

Identify and Plot Points on a Coordinate Plane

Students will be able to identify, plot, and label points, axes, and quadrants on a coordinate plane.
Write the definition of the following words in your math journal:

Linear
In a straight line.

Point
An exact location. It has no size, only position.
Drag the points below (they are shown as dots so you can see them, but a point really has no size at all!)
Points usually have a name, often a letter like "A", or even "W"

Standard Form
A general term meaning "written down in the way most commonly accepted"

Axis:
An imaginary line around which something rotates
Axis of Earth Around the Sun

Linear Equation

Picture
An equation that makes a straight line when it is graphed.
Often written in the form: y = mx+b

X Axis

Picture
The line on a graph that runs horizontally (left-right) through zero.

It is used as a reference line so you can measure from it.

Y Axis

Picture
The line on a graph that runs vertically (up-down) through zero.

It is used as a reference line so you can measure from it.

Origin

Picture
The starting point.

On a number line it is 0

On a two-dimensional graph it is where the X axis and Y axis cross, marked (0,0) on the graph here:


In three dimensions it is the point (0, 0, 0)

Coordinates

Picture
Coordinates are a set of values that show an exact position.

On maps and graphs it is common to have a pair of numbers to show where a point is: the first number shows the distance along and the second number shows the distance up or down.

Example: the point (12,5) is 12 units along, and 5 units up.

But there are other types of coordinates, such as polar coordinates and 3 dimensional coordinates.

Ordered Pair

Picture
Two numbers written in a certain order. 
Usually written in parentheses like this: (4,5) 

Can be used to show the position on a graph, where the "x" (horizontal) value is first, and the "y" (vertical) value is second.

Here the point (12,5) is 12 units along, and 5 units up.

Slope

Picture
How steep a straight line is.

In this example the slope is 3/5 = 0.6 

Axes

Picture
Plural of Axis.
Usually means the "x" and "y" lines that cross at right angles to make a graph. 

Coordinate Plane

Picture
The plane containing the "x" axis and "y" axis. 

Graph

Picture
A diagram of values, usually shown as lines or bars.

Intersect

Picture
To cross over (have some common point)

The red and blue lines intersect.

Rise

Picture
How far a line goes up (for a given distance along).

Rise/Run gives you the slope of the line.

Run

Picture
How far a line goes along (for a given distance going up).

Rise/Run gives you the slope of the line.

Plot

Picture
To draw on a graph or map.

Here we have plotted the point (12,5)

Today's Lesson - Identifying Points on a Plane
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