Explore the world of lines. Investigate the relationships between linear equations, slope, and graphs of lines. Challenge yourself in the line game!
This lesson is an introduction to learning to graph linear equations written in Slope-Intercept Form. It was written for the Beginning Algebra 1 student.
For too long, algebra has been viewed in adult education as the second most daunting math (second only to fractions), and now it is time to make algebra as approachable as adding. This resource will help you to discover some new approaches to teaching algebra as patterns, rules, equations, and lines on a graph while utilizing research-based tools, techniques, and resources learned from the Adult Numeracy Instruction – Professional Development (ANI-PD). Hands-on practice and ready-to-use resources are provided.
This is a three-credit course which covers topics that enhance the students’ problem solving abilities, knowledge of the basic principles of probability/statistics, and guides students to master critical thinking/logic skills, geometric principles, personal finance skills. This course requires that students apply their knowledge to real-world problems. A TI-84 or comparable calculator is required. The course has four main units: Thinking Algebraically, Thinking Logically and Geometrically, Thinking Statistically, and Making Connections. This course is paired with a course in MyOpenMath which contains the instructor materials (including answer keys) and online homework system with immediate feedback. All course materials are licensed by CC-BY-SA unless otherwise noted.
Topics List for this Lesson: Graphing Linear EquationsSystems of Equations
http://www.artandlinearequations.weebly.com
This Project-Based Learning experience blends art and linear equations to help students make connections and extend their knowledge from a very basic understanding of y = mx + b to a true understanding of how slope and y intercept look differently in both equation form and graphed. Students get to use their creativity while at the same time make some major connections:
1) How do equations that have opposite slopes look on a graph?
2) What happens when two equations have the same slope but opposite y intercepts?
3) How does scale factor affect the appearance of the art?
I used this with my 6th grade honors class (preparing for Algebra I in 7th grade) but it would be appropriate for any middle school grade level and I even had a 5th grade teacher state that she would modify this lesson to teach graphing lines which I may also do with my standard 6th grade students!
In this real world word problem students must graph linear equations and figure a monthly and yearly wage.