Linear functions and slope

URL: http://learner.org/channel/courses/learningmath/algebra/session5/index.html

1007936

In this online workshop session, teachers gather to explore linear relationship as expressed in patterns, tables, equations, and graphs. Video segments, interactive practice, problem sets, and discussion questions guide participants as they consider such concepts as slope and function in a learning experience designed for teachers. They explore the role of slope in graphs of linear relationships and investigate how rates are related to slopes and equations. This is one session from Patterns, Functions, and Algebra, a free online course developed for elementary and middle school teachers.

Summary

Subject keyword(s)	Algebra, Equations, Functions, Graphing techniques, Linear, Mathematics
Grade level	Elementary School, Middle School, Vocational/Professional Development Education
Intended audience	Educator, Professional/Practitioner
Resource type	Instructional Material
Resource format	text, text/html

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Title	Middle School Portal: Math and Science Pathways (MSP2)
Link	http://msteacher2.org/
Description	The Middle School Portal 2: Math and Science Pathways (MSP2) supports middle grades educators with high-quality, standards-based resources and promotes collaboration and knowledge-sharing among its users. Educators use MSP2 to increase content knowledge in science, mathematics, and appropriate pedagogy for youth ages 10 to 15. MSP2 employs social networking and digital tools to foster dynamic experiences that promote creation, modification, and sharing of resources, facilitate professional development, and support the integration of technology into practice. MSP2 is a project of the Ohio State University College of Education and Human Ecology, National Middle School Association, and Education Development Center, Inc., and is funded by the National Science Foundation. The partners integrate resources, tools, and services across projects, and support multiple methods of resource discovery to meet the needs of this audience.
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Content contained within the resource

      In the previous session, you developed proportional reasoning skills by making absolute and relative comparisons, comparing ratios, making scale drawings, and looking at graphs of proportional relationships. In this session, we'll explore linear relationships by looking at lines and slopes. Note 1 Part A: Linear Relationships in Patterns Part B: Slope Part C: Rates Part D: Putting It Together Part E: Thinking About Technology Homework   We'll also use spreadsheets to aid us in our exploration. If you feel comfortable using a spreadsheet program, feel free to start the lesson now. If you've never used a spreadsheet before, or if you have but would like a review of the basics, click here for a short tutorial.   In this session, we'll use spreadsheets to explore dynamic dependence and linear relationships. We will: •  Recognize linear relationships as they are expressed in tables, equations, and graphs •  Understand that linearity is expressed in constant differences •  Use spreadsheets to work with tables, equations, and graphs •  Explore the role of slope and dependent and independent variables in graphs of linear relationships •  Develop an understanding of rates and how they are related to slopes and equations Throughout the session you will be prompted to view short video segments. In addition to these excerpts, you may choose to watch the full-length video of this session. Previously Introduced: New in This Session:   closed-form description recursive description origin independent variable dependent variable slope rate linear relationship Next > Part A: Linear Relationships in Patterns Learning Math Home | Algebra Home | Glossary | Map | © Session 5: Index | Notes | Solutions | Video Home | Catalog | About Us | Search | Contact Us| Site Map Tweet | © Annenberg Foundation 2012. All rights reserved. Privacy Policy