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What is slope?

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by

Frank D'Agostino III

on 18 November 2014

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Transcript of What is slope?

The presentation is intended to help students gain an understanding of slope through images, videos, and real-life representations. I designed the presentation as an instructional tool that I will use as the foundation of this lesson. I will use a variety of questioning techniques and modeling throughout the presentation depending on the individual needs of the students.
Mr. D'Agostino
Algebra 1
Lesson 4.4
standards alignment
PA: M8.D.4.1
NCTM:
Standard 3 & 4
What is slope?
PA: M8.D.4.1
NCTM:
Standards 3 & 4
the ratio of the vertical change to its horizontal change
the variable m = slope
rise / run
change in y / change in x
Are you confused?

This video might straighten things out...
Now, it's your turn.
Undefined Slope
Zero Slope
negative slope
positive slope
Types of slope:
Everyday slope...
Find the slope.
Find the slope of the line passing through the points.
(2,1) (6,4)
(0,6) (10,0)
(1,5) (-3,5)
(1,6) (1,2)
PA: M8.D.4.1
NCTM: Standard 3 & 4
However, you can not use slope triangles when gridlines are not present or you are given two ordered pairs.
So... then what?
Watch closely and you'll see.
and one more...
negative
zero
undefined
positive
Flickr. (2011). Retrieved from http://www.flickr.com/search/?w=all&q=slope&m=text
http://www.flickr.com/search/?w=all&q=roof+peaks&m=text#page=2
Mathscore.com. (2008). Retrieved from http://www.mathscore.com/math/free/lessons/California/8th_grade/Graphs_to_Linear_Equations_lesson.html
Initial Practice: Determining whether the slope of a line is positive, negative, infinite, or zero. Retrieved from http://cstl.syr.edu/fipse/grapha/unit4/Prac9.html
Larson, Boswell, Kanold, Stiff. (2008). Math course 3: pennsylvania edition. Evanston, IL: McDougal Littell
Discovery education. (2011). Retrieved from http://www.discoveryeducation.com/
0
undefined
-3/5
3/4
Are you ready to try your own?

Here you go...
Last, but not least...maybe this catchy video/song will help store the meaning of slope for good.
Wolfe, R. (2009). Digital storytelling/math tutorial edim 504/finding slope. Retrieved fromhttp://www.youtube.com/results?search_query=finding+slope&aq=f
from Microsoft XP images
So you are getting better at calculating slope, but where do you see slope in real-life?
Full transcript