Social+Networking+Lesson

= What's the Slope? =

For use with 8th-9th Grade Algebra 1 classes
Photo courtesy of [] __**Description of Lesson **__ This lesson introduces students to the concept of slope as a rate of change. Using different social networking tools, students will analyze their peers’ photographs of different objects and determine the slope of the objects.


 * __Objectives__ **
 * Students will use social networking tools to discover various examples of slope they see outside of the classroom.
 * Students will be able to describe slope as a rate of change.

Digital camera/mobile device with camera capabilities
 * __Materials__ **

[] [] []
 * __Web Addresses Needed for this Lesson__ **
 * Edmodo group code: yu5elk **

PA Common Core Standards
 * __Standards Addressed__ **
 * <span style="background-color: transparent; color: #000000; display: block; font-family: Cambria; font-size: 15px; text-decoration: none; vertical-align: baseline;">**<span style="background-color: transparent; color: #000000; font-family: Cambria; font-size: 15px; text-decoration: none; vertical-align: baseline;">2.5.A1.B. **<span style="background-color: transparent; color: #000000; font-family: Cambria; font-size: 15px; text-decoration: none; vertical-align: baseline;">Use symbols, mathematical terminology, standard notation, mathematical rules, graphing, and other types of mathematical representations to communicate observations, predictions, concepts, procedures, generalizations, ideas, and results.
 * <span style="background-color: transparent; color: #000000; display: block; font-family: Cambria; font-size: 15px; text-decoration: none; vertical-align: baseline;">**<span style="background-color: transparent; color: #000000; font-family: Cambria; font-size: 15px; text-decoration: none; vertical-align: baseline;">2.11.8.B. **<span style="background-color: transparent; color: #000000; font-family: Cambria; font-size: 15px; text-decoration: none; vertical-align: baseline;">Describe the concept of unit rate, ratio, and slope in the context of rate of change.

<span style="background-color: transparent; color: #1155cc; font-family: Cambria; font-size: 15px; vertical-align: baseline;">[|NETS for Students Standards]
 * <span style="background-color: transparent; color: #000000; font-family: Cambria; font-size: 15px; text-decoration: none; vertical-align: baseline;">2. Communication and Collaboration **
 * <span style="background-color: transparent; color: #000000; font-family: Cambria; font-size: 15px; text-decoration: none; vertical-align: baseline;">a. Interact, collaborate, and publish with peers, experts, or others employing a variety of digital environments and media
 * <span style="background-color: transparent; color: #000000; font-family: Cambria; font-size: 15px; text-decoration: none; vertical-align: baseline;">5. Digital Citizenship **
 * <span style="background-color: transparent; color: #000000; font-family: Cambria; font-size: 15px; text-decoration: none; vertical-align: baseline;">b. Exhibit a positive attitude toward using technology that supports collaboration, learning, and productivity

<span style="background-color: transparent; color: #1155cc; font-family: Cambria; font-size: 15px; vertical-align: baseline;">[|NETS for Teachers Standards]
 * <span style="background-color: transparent; color: #000000; font-family: Cambria; font-size: 15px; text-decoration: none; vertical-align: baseline;">1. Facilitate and Inspire Student Learning and Creativity **
 * <span style="background-color: transparent; color: #000000; font-family: Cambria; font-size: 15px; text-decoration: none; vertical-align: baseline;">b. Engage students in exploring real-world issues and solving authentic problems using digital tools and resources
 * <span style="background-color: transparent; color: #000000; font-family: Cambria; font-size: 15px; text-decoration: none; vertical-align: baseline;">c. Promote student reflection using collaborative tools to reveal and clarify students’ conceptual understanding and thinking, planning, and creative processes
 * <span style="background-color: transparent; color: #000000; font-family: Cambria; font-size: 15px; text-decoration: none; vertical-align: baseline;">d. Model collaborative knowledge construction by engaging in learning with students, colleagues, and others in face-to-face and virtual environments
 * <span style="background-color: transparent; color: #000000; font-family: Cambria; font-size: 15px; text-decoration: none; vertical-align: baseline;">2. Design and Develop Digital Age Learning Experiences and Assessments **
 * <span style="background-color: transparent; color: #000000; font-family: Cambria; font-size: 15px; text-decoration: none; vertical-align: baseline;">a. Design or adapt relevant learning experiences that incorporate digital tools and resources to promote student learning and creativity
 * <span style="background-color: transparent; color: #000000; font-family: Cambria; font-size: 15px; text-decoration: none; vertical-align: baseline;">4. Promote and Model Digital Citizenship and Responsibility **
 * <span style="background-color: transparent; color: #000000; font-family: Cambria; font-size: 15px; text-decoration: none; vertical-align: baseline;">b. Address the diverse needs of all learners by using learner-centered strategies providing equitable access to appropriate digital tools and resources

<span style="background-color: transparent; color: #000000; font-family: Cambria; font-size: 15px; text-decoration: none; vertical-align: baseline;">1. Students will partner up and walk around the school to take pictures of 3 different fixed (not able to be moved) objects that have a slope. Students will then join the <span style="background-color: transparent; color: #1155cc; font-family: Cambria; font-size: 15px; vertical-align: baseline;">[|Flickr] <span style="background-color: transparent; color: #000000; font-family: Cambria; font-size: 15px; text-decoration: none; vertical-align: baseline;"> group and upload their pictures. They should provide a description of the object and where it is located.
 * <span style="background-color: transparent; color: #000000; font-family: Cambria; font-size: 15px; vertical-align: baseline;">__Procedure__ **

<span style="background-color: transparent; color: #000000; font-family: Cambria; font-size: 15px; text-decoration: none; vertical-align: baseline;">2. Students should view at least 2 other groups' photos and post a response about what types of slopes (positive, negative, zero, undefined) the objects have.

<span style="background-color: transparent; color: #000000; font-family: Cambria; font-size: 15px; text-decoration: none; vertical-align: baseline;">3. The teacher will lead a classroom discussion comparing different photos that had the same type of slopes. The discussion will be guided to determine how slope is measured and can be compared.

<span style="background-color: transparent; color: #000000; font-family: Cambria; font-size: 15px; text-decoration: none; vertical-align: baseline;">4. In <span style="background-color: transparent; color: #1155cc; font-family: Cambria; font-size: 15px; vertical-align: baseline;">[|Edmodo] <span style="background-color: transparent; color: #000000; font-family: Cambria; font-size: 15px; text-decoration: none; vertical-align: baseline;">, the teacher will post a picture of a fixed object that is inside the classroom. The students are to discuss what type of slope the object has, compare its' slope to other objects in the school, and take a guess as to its' slope. The slope should be listed as both a fraction and a percent. After everyone has completed this, measurements will be taken and a correct answer provided.

<span style="background-color: transparent; color: #000000; font-family: Cambria; font-size: 15px; text-decoration: none; vertical-align: baseline;">5. Students will get back together with their partners and pick two of the three objects they previously took pictures of. They will then take two more pictures of each of their chosen objects. The first picture should show the object with another object being used to measure its height. The second picture should show the object with another object being used to measure its depth/width. They will then post all 3 pictures (just the object, objects' height, objects' depth) on the <span style="background-color: transparent; color: #1155cc; font-family: Cambria; font-size: 15px; vertical-align: baseline;">[|SSSD Facebook page] <span style="background-color: transparent; color: #000000; font-family: Cambria; font-size: 15px; text-decoration: none; vertical-align: baseline;">.

<span style="background-color: transparent; color: #000000; font-family: Cambria; font-size: 15px; text-decoration: none; vertical-align: baseline;">Each student should pick one object from the <span style="background-color: transparent; color: #1155cc; font-family: Cambria; font-size: 15px; vertical-align: baseline;">[|Facebook page] <span style="background-color: transparent; color: #000000; font-family: Cambria; font-size: 15px; text-decoration: none; vertical-align: baseline;"> that another group photographed and determine its slope as both a fraction and percentage. Each object should only have only person calculate its slope (Exception: If you notice someone has incorrectly calculated the slope, you may fix it.) Students should also tell what object has the steepest and shallowest slope at the time they were working on the assignment. This will allow us after all objects' slopes have been calculated to arrange the objects from shallowest to steepest.
 * <span style="background-color: transparent; color: #000000; font-family: Cambria; font-size: 15px; vertical-align: baseline;">__Homework__ **

<span style="background-color: transparent; color: #000000; font-family: Cambria; font-size: 15px; text-decoration: none; vertical-align: baseline;">Formative assessment will take place throughout with class discussion/feedback in the classroom and on Edmodo and Facebook. A summative assessment in the form of a quiz will be given after covering how to find slope on a coordinate plane.
 * <span style="background-color: transparent; color: #000000; font-family: Cambria; font-size: 15px; vertical-align: baseline;">__Assessment/Evaluation__ **

<span style="background-color: transparent; color: #000000; font-family: Cambria; font-size: 15px; text-decoration: none; vertical-align: baseline;">Lesson was adapted from <span style="background-color: transparent; color: #1155cc; font-family: Cambria; font-size: 15px; vertical-align: baseline;">[|Dan Meyer's] <span style="background-color: transparent; color: #000000; font-family: Cambria; font-size: 15px; text-decoration: none; vertical-align: baseline;"> and <span style="background-color: transparent; color: #1155cc; font-family: Cambria; font-size: 15px; vertical-align: baseline;">[|James Cleveland's] <span style="background-color: transparent; color: #000000; font-family: Cambria; font-size: 15px; text-decoration: none; vertical-align: baseline;"> lesson ideas.