SLOPE AND MIDPOINT Kory Brady Grade 8 Algebra

SLOPE • Slope Formula • Slope is labeled m in linear function y=mx+b The slope between two points (x 1, y 1) and (x 2, y 2) is calculated by the equation Image source: Kory Brady

SLOPE Image Source: Kory Brady

SLOPE Watch this video on how to find slope Explore this Excel document and see how slope effects a linear line Analyze, Compare, and Contrast how slope effects the graph Get in a group and discuss how different rational numbers as the slope effect the graph After exploring the excel exercise compute these problems online

SLOPE Get in groups of two and discuss real world applications of slope Ex. Roads to prevent rain from accumulating, roofs, bathtubs to drain the water, and rollercoaster. Homework Activity: Research your favorite roller coaster and use a picture of it to graph on a coordinate plan and calculate the slope as you go up the hill and the slope descending. Print out picture! Image source: Joyride

MIDPOINT • Midpoint formula • Midpoint is labeled as M The midpoint between two points (x 1, y 1) and (x 2, y 2) is calculated by M= Image source: Kory Brady

MIDPOINT Image Source: Kory Brady

MIDPOINT Watch Midpoint Video Then compute these problems and complete these problems Compare and contrast the differences between midpoint and slope. Image source: Geology. com Homework Activity: Pick somewhere in the United States you want to go to driving. You need to stop half-way to sleep. Determine the midpoint between your house and that location to stop.

REFERENCES Brady, Kory. 2011 Oct 6. Photo. Curts, Eric. Exploring Slope. Excel. 2011 Oct 6. Retrieved from http: //www. northcanton. sparcc. org/~technology/excel/files/exploring_slope. html Geology. Photographer. United States Map. Photo. Retrieved from http: //geology. com/world/the-united-states-of-america-satellite-image. shtml Neumann, Erik. 2004. My. Physics. Lab- Roller Coaster. 2011 Oct 6. Web. Retrieved from http: //www. myphysicslab. com/Roller. Simple. html Onlinemathlearning. 2008. Midpoint. Onlinemathlearning. 2011 Oct 6. Retrieved from http: //interactive. onlinemathlearning. com/coo_midpoint. php? action=generate&num. P roblems=10

REFERENCES Onlinemathlearning. 2005. Midpoint Formula Worksheet. Onlinemathlearning. 2011 Oct 6. Web. Retrieved from http: //www. onlinemathlearning. com/midpoint-formulaworksheet. html Onlinemathlearning. 2005. Slope of a line. Onlinemathlearning. 2011 Oct 6. Web. Retrieved from http: //www. onlinemathlearning. com/slope-intercept. html roofhelp. com. 2010. Determining Your Roof’s Slope. 2011 Oct 6. Web. Retrieved from http: //www. roofhelp. com/roof_slope. htm Schwartz, Joe. Photographer. Millennium Force. Photo. Sandusky, OH. Retrieved from http: //www. joyrides. com/cedar_point/millennium_force 1. htm

REFERENCES teachertubemath. 2009. Midpoint of a Line. 2011 Oct 6. Video. Youtube. Retrieved from http: //www. youtube. com/watch? v=h. Kl. Wd. Vrx. F 6 Q&feature=player_embedded yourteachermathhelp. 2007. The Slope Formula. 2011 Oct 6. Video. Youtube. Retrieved from http: //www. youtube. com/watch? v=Oj. EKo. XBZf 7 w