Upcoming SlideShare
Loading in …5
×

# Introduction to slope presentation

3,786 views

Published on

0 Comments
1 Like
Statistics
Notes
• Full Name
Comment goes here.

Are you sure you want to Yes No
Your message goes here
• Be the first to comment

No Downloads
Views
Total views
3,786
On SlideShare
0
From Embeds
0
Number of Embeds
13
Actions
Shares
0
Downloads
77
Comments
0
Likes
1
Embeds 0
No embeds

No notes for slide

### Introduction to slope presentation

1. 1. Meaning of SlopeSima Javaheri & Sara Kelly
2. 2. California Content Standard• 3.3 Graph linear functions, noting that the vertical change (change in y- value) per unit of horizontal change (change in x- value) is always the same and know that the ratio ("rise over run") is called the slope of a graph.
3. 3. NCTM Standard• Represent, analyze, and generalize a variety of patterns with tables, graphs, words, and, when possible, symbolic rules
4. 4. Objectives of the Lesson• Given a graph of a line, students will be able to identify the slope as being positive, negative, zero, or neither.• Given a graph of a line, students will be able to calculate slope by using rise over run.• Given a two points on a line, students will be able to apply the slope formula accurately.
5. 5. What is Slope???Slope is the ratio of the vertical change to the horizontal change. In a linear relationship, it is a constant rate of change. It can also be characterized as the steepness of a line. vertical change rise y2 − y1slope = m = = = horizontal change run x2 − x1
6. 6. Positive vs. Negative Slopes• A line that moves upward from left to right has a positive slope.Hint: If you can transform the line to resemble a “P” then it is positive!• A line that moves downward from left to right has a negative slope.Hint: If you can transform the line to resemble a “N” then it is negative!
7. 7. Kinds of Slopes• Positive Slope• Ne gative S lope
8. 8. Zero and Neither SlopeA line that is flat from left to right has azero slope.A line that is straight up and down (vertical)has no s lope (neither).
9. 9. Continued• Zero• Neither
10. 10. Rise over Run rise Slope = runRise is the vertical distance between the pointsRun is the horizontal distance between thepoints
11. 11. Use Rise over Run•What is the risevalue? Rise = 4•What is the runvalue? Run = 1 What is the Slope? rise 4 = =4 run 1
12. 12. Slope Formula• Given two points ( x1 , y1 ) and ( x2 , y2 ) , the slope can be calculated by substituting the x- and y-values into the following formula: y 2 −y1 m= x2 −x1
13. 13. ExampleFind the slope of the line that goesthrough these two points (1, 1) and (2,3): 3 −1 2 m= = =2 2 −1 1
14. 14. Now, you try…Given (0,4) and (2, -2), computethe slope using the slope formula: −2 −4 −6 m= = = −3 2 −0 2
15. 15. References1. Kaplan, Andrew. Math On Call. Wilmington: Houghton Mifflin, 1998.1. Van de Walle, J, & Lovin, L, Teaching Student Centered Mathematics, Boston: Pearson (2001).2. http://www.math.iupui.edu/~momran/m119/notes/slope