Walk the Graph: Algebra I

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Walk the GraphAlgebra I

• By Dawn Gray
• Mentor Dr. Lagoudas and Dr. Davis
• PhD Candidate Parikshith Kumar
• REU Francis Phillips

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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

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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.

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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//www.hometrainingtools.com/catalog/general-s
cience/cat_masses-weights.html
http//education.ti.com/guidebooks/datacollection/
cbr/cbr-eng.pdf
http//education.ti.com/educationportal/sites/US/p
roductDetail/us_ti84pse.html
http//smart.tamu.edu/
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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).

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Walking the graph

• 2 days at least
• Day 1 CBR Activity Match the graph
• http//education.ti.com/guidebooks/datacollection/
  cbr/cbr-eng.pdf
• Day 2 SMA Activity

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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
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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

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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

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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