What’s Goin’ On In Room 133

Posts Tagged ‘coordinate plane’

So now you are seeing how points are plotted on your coordinate plane.  You should also be seeing how your points can be moved to a predictable location.  Your reading of pages 506-509 show examples and procedures to translate, reflect, rotate and dialte your points as a group from one location on your graph paper to the next.  The rules may take a while to get them all down pat.  But once you see the coordinate plane as four areas that have been marked off by two intersecting number lines, things will start to make more sense.  Because it really is that simple. 

Remember, the purpose of this system is to be able to show how one value relates to another.  Another way of putting is to show how one value (input) causes another value (output) after it undergoes some form of change (function).  The transformations of your plotted figures show you that you can predict where a set of coordinates are likely to end up if it they are multiplied by -1 or switched around beforehand, etc.  If you can predict where they will be, then that means you know what its values will be.  And that means you can project what is likely to happen to your numbers under certain conditions. 

That kind of knowledge is pretty valuable.  Coming to you live from your “free” public education system – rock on, colleagues!

Homework: page 78 ques 25 – 30; 36 – 41, 48 – 53 and page 83 ques 18-31. Also study Concept Summary on page 82.  Due Thursday, guys!

Alright, sports fans, I mean, uh, colleagues, we have spread joy to the maximum and brought gloom down to the minimum by weaving our way through the positive and negative sides of our number line.  We have added (+ve plus +ve = +ve, -ve plus -ve = -ve, and if they are different signs, it depends on which one has the greatest absolute value).  We have subtracted using number line, absolute value and the ultimate weapon THE ADDITIVE INVERSE…you know, 4 – 2 = 4 + (-2)?   Yeah, that one. 

And now we have just multiplied these guys (+ve X +ve = +ve; -ve X -ve = +ve, and if the signs are not the same, it’s a negative).  Same with division: like signs dividing each other, the answer is positive; unlike signs dividing each other, it’s negative. 

So where is all this going?  Where are we headed?  What strange new worlds are we likely to power through with this knowledge besides census taking and temperature watching and profit calculating?  Well, my friends, we are heading for…a NEW world…a world where positive and negative exist as brothers…a world of two dimensions and four quadrants and an infinite number of pairs…a world of planes and coordinates and a view, just over the horizon, of the masters who have gone before…a world known by many names, but here we call it the Coordinate Plane.

Cue the music: “Have faith or pandemonium liable to walk upon the scene!”