Create Your Own Linear Pattern Project - Studying Linear Relationships
This project offers students the opportunity to study, describe, and understand a linear relationship between two quantities. Students will also have the opportunity to analyze a linear relationship using different representations. This allows students to form connections between the various methods of representing linear relationships which ultimately results in a deeper level of learning. For example, students will observe the connection between linear equations and their graph counterparts.
In engaging in this project, students will first be guided through creating their own personal pattern. Questions will then lead students through a careful study of their pattern. Students will be prompted to make observations of their pattern and make predictions. They will be prompted to test their predictions and form deep mathematical connections between their thoughts, understandings, and work through the creations of graphs, tables, and linear equations.
This project can be used as a means of not only assessing students' knowledge of linear relationships but also of challenging students to a deeper level of understanding. Also, the structure of this project aligns well with open-ended portions of State Standardized Tests and is thus useful as test-prep for students.
This project fulfills countless CC and State Standards in Grade 7 Math, Grade 8 Math, and Algebra I. More specifically, this project aligns with standards involving building of functions, interpreting functions, seeing structure in expressions, and creating/assessing linear equations.
This project also heavily engages students in the Common Core Mathematical Practice Standards:
-Make sense of problems and persevere in solving them
-Reason abstractly and quantitatively
-Construct viable arguments and critique the reasoning of others
-Model with mathematics
-Use appropriate tools strategically
-Attend to precision
-Look for and make use of structure
-Look for and express regularity in repeated reasoning