1. Walk the Graph: Algebra I By: Dawn Gray Mentor: Dr. Lagoudas and Dr. Davis PhD Candidate: Parikshith Kumar REU: Francis Phillips

2. Objective Students will learn how to use the CRB and calculator Students will learn rate of change and how it changes the graph Students will learn how to calculate velocity Students will learn to identify non-linear graphs

3. Algebra I TEKS (a) (5) Tools for algebraic thinking. Techniques for working with functions and equations are essential in understanding underlying relationships. Students use a variety of representations (concrete, pictorial, numerical, symbolic, graphical, and verbal), tools, and technology (including, but not limited to, calculators with graphing capabilities, data collection devices, and computers) to model mathematical situations to solve meaningful problems. (b) (A.1) (E) interpret and make decisions, predictions, and critical judgments from functional relationships. (A.2) (C) interpret situations in terms of given graphs or creates situations that fit given graphs; and (A.11) Quadratic and other nonlinear functions. The student understands there are situations modeled by functions that are neither linear nor quadratic and models the situations.

4. Materials Needed CBR or CBL2 with motion detector Graphing Calculator (these would work best TI-83, TI-83+, TI-84, TI-84+) Massed weights SMA spring Apparatus (to hang spring and weights) 6 volt battery or power source 2 leads with alligator clips http://education.ti.com/educationportal/sites/US/productDetail/us_ti84pse.html http://www.hometrainingtools.com/catalog/general-science/cat_masses-weights.html http://smart.tamu.edu/ http://education.ti.com/guidebooks/datacollection/cbr/cbr-eng.pdf

5. CBR Boundaries The CBR has a readable range of.5 meters (about 1.5 feet) to 6 meters (about 19.5 feet). Anything to close or to far away will not be picked up on the CBR correctly. The new CBR 2 has a better forward range. It can read from 15 centimeters (about 6 inches).

6. Walking the graph 2 days at least Day 1: CBR Activity – Match the graph http://education.ti.com/guidebooks/datacollectio n/cbr/cbr-eng.pdf Day 2: SMA Activity

7. Day 1- TI: Match the graph Walk the graph activity – distance match Students will complete TI activity sheet Walk the graph activity – velocity http://education.ti.com/guidebooks/datacollection/cbr/cbr-eng.pdf

8. Day 2 – SMA Spring Activity Introduce SMA and their applications Handout SMA activity worksheet SMA Activity.doc Show a demonstration Students work in groups: testing and recording the graphs of different weights

9. Graphs These are examples of graphs that will be displayed Graph 1 – has a mass of 47.8 grams and is being heat to bring the spring back to its original shape Graph 2 – has a mass of 47.8 grams and is being cooled, the spring is deforming its shape

10. Pre-calculus Students will take the graph and pick out the points and distance Students will use the rules (like add-add, and add- multiply) to calculate the type of graph