Showing posts with label rise over run. Show all posts
Showing posts with label rise over run. Show all posts

Thursday, April 13, 2017

Concepts for April 13th

Algebra I

Today we discussed
We did a full review of all things functions and graphs and put it all together.  From there, we moved to systems of equations, and for the sake of this course, they will be two lines.  There are three possibilities for two linear equations.

  1. The lines may cross at a single coordinate point.  This point will make both equations true at the same time!
  2. The lines may not cross at all.  Said another way, the lines may be parallel.  Recall that parallel lines have the same slope, but a different y-intercept.
  3. The lines might intersect infinitely many times, or at every point on the same line.  In this case, we really have equations that represent the same line.  

Sections Covered in Textbook
1) 11-2: Graphing Systems of Equations (pages 442-446)

Video Tutorials
1)  Solving Systems of Equations by graphing


Assignments
1) Pages 445-446 #'s 17-32 1st column, 43.
2) Complete Test on Functions and Graphs.
    Download a copy of the test here.

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK



Pre-Algebra

Today we discussed
No discussion of graphing is complete without slope.  Slope or steepness is how quickly something rises or falls compared to (or divided by) how far something travels.  It is the rise of  line divided by the run, or the change in y-values divided by the change in x-values.  Positive slopes start low at the left and rise as they move right, and negative slopes are just the opposite - they start high and end lower.





Sections Covered in Textbook
1) 8-8: Slope (pages 305-307)

Video Tutorials
1) What is the Slope of a Line?
http://www.virtualnerd.com/algebra-1/linear-equation-analysis/slope-rate-of-change/understanding-slope/slope-definition
2)  Slope Formula
http://www.virtualnerd.com/algebra-1/linear-equation-analysis/slope-rate-of-change/understanding-slope/slope-formula-definition
3)  Find Slope from Two Points
http://www.virtualnerd.com/algebra-1/linear-equation-analysis/slope-rate-of-change/slope-examples/slope-from-two-points

Assignments
1) Page 307 #'s 7-18 all; 23-28 all



**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK




Thursday, March 16, 2017

Algebra I

Today we discussed
We continue to explore functions and graphing.  Today we discussed how to graph inequalities.  We reviewed the difference between strictly less than or greater than (< , >) and less than or equal to or greater than or equal to (≤, ≥), and whether to include the line or not in the graph of the solution.  You can find another lesson on graphing inequalities by going here:
http://www.mathsisfun.com/algebra/graphing-linear-inequalities.html

From here, we moved to to a discussion about slope with slope being defined as rise over run.  Another way to express slope is

change in y
change in x



Sections Covered in Textbook
1) 9-6:  Graphing Inequalities in Two Variables (pages 379-383)
2) 10-1: Slope of a Line (pages 400-404)

Video Tutorials
1)  Graphing Inequalities

2) What is the Slope of a Line?

3)  Slope Formula

4)  Find Slope from Two Points


Assignments
1) Page 382#'s 19-47 odd, 48
2) Page 403 #'s 15-31 odd

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK



Pre-Algebra

Class did not meet today.  Please review the lesson we completed in September that covered the distributive property.  A link to the blog entry can be found by clicking here. 

Assignments
1)  Worksheet on the Distributive Property
Download Worksheet and Answers Here!



**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK