Systems of Equations Graphing
The 8-page lesson is great way to introduce your students to solving linear systems by using graphs, tables, and substitution (i.e the equals method). The lesson opens up with a problem scenario in which students need to figure out when two plants will be the same height. Students will then need to calculate how tall each plant will be. Students will solve this problem using three different approaches. They will use a table method and have to locate where in the table are the time and height the same. When using the graphing approach, they will have to identify the point of intersection. They will finally use an algebraic approach, specifically substitution, to solve the problem. In another scenario students will be introduced to a similar problem in which the solution is not a whole number. Students will discover when finding the point of intersection they will only be able to estimate their solution. They will then discover that the algebraic approach will give them the exact solution. Students will continue with another real world scenario, in which one tree will always be taller than the other tree and hence the "graphical" method will produce two parallel lines, while the algebraic method will produce a negative x-value which will not make sense in terms of the problem scenario. The lesson closes with 4 skills-based problems in which students will practice the substitution method. I hope your students find this lesson from my Let's Algebra Store, fun and engaging!
The pine tree clip are in this product was produced by the TLC Shop at: http://www.teacherspayteachers.com/store/the-tlc-shop
The zipped PDF file contains the 8-page lesson, the 8-page key, and 1 page for clip art credits and copyright information
NOTE: This product is part of my Systems of Equations Bundle.