Standards and Objectives
Common Core State Standards
CCSS.Math.Content.8.EE.C.8
Analyze and solve pairs of simultaneous linear equations
Analyze and solve pairs of simultaneous linear equations
- 8.EE.C.8.A - Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.
- 8.EE.C.8.B - Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection.
- 8.EE.C.8.C - Solve real-world and mathematical problems leading to two linear equations in two variables.
NETS-S Technology Standards
- Standard 1c - Use models and simulations to explore complex systems and issues.
- Standard 2a - Interact, collaborate, and publish with peers, experts, or others employing a variety of digital environments and media.
- Standard 4d - Use multiple processes and diverse perspectives to explore alternative solutions.
Learning Objectives
- Given two linear equations in either slope-intercept, point-slope, or standard form, the student will be able to accurately find the solution to the system and share those results using some form of media (e.g., make a podcast, write a blog post, etc.) and receive a rating of at least 4 out of 5 on a rating scale rubric.
- Given a system of linear equations, the student will be able to, using a graphing software such as Geogebra or Desmos, accurately identify the system as having either one solution, no solution, or infinitely many solutions by giving a description of the features of the graph. This will be done according to a checklist.
- After learning each of the methods of solving systems of linear equations, students will work in small groups to come up with a story problem involving systems of linear equations. Students will do this using a google doc where they will be responsible for commenting on at least 2 other groups' story problems and solving at least one other group's story problem. The post, comments, and solutions must adhere to a rating scale which students must receive a proficient rating on.
- Upon completion of the lesson, students will be able to choose the most effective method of solving systems of linear equations and defend that choice in the form of a blog post that includes the method, an example of a resource where the method is used, and why the method is most effective for them. This will be done according to a scoring rubric which the student must score at least a 4 out of 5 on in order to pass.