Dealing with Data in Middle Grades Mathematics and Science using the TI-73 Explorer


Course Outline
The course outline below is intended for a 9 day institute. Local needs, number of days and participant levels will be taken into consideration by the instructor when choosing the activities.

The materials are broken up into modules however leadership training is incorporated throughout the entire 9 day course. In addition instructors continually model presentation styles and approaches that will be studied in this course.

 

Title of Activity Overview Math Concepts
Pre-course work    
Connecting Cubes 'n Critters This activity demonstrates the ratio between surface area and volume, and shows how the edge length of a cube varies inversely to this ratio. Whole numbers Addition
The One-Cent Event This activity helps students understand the basic concepts of statistics and how to use lists to perform calculations on the data collected. Statistics Entering data into lists
 
Module 1    
Shape Up! (Book activity) This activity helps students discover what type of shapes can be plotted as a result of your motion in front of the CBR, observe which shapes can and cannot be made with a Distance-Time plot, and determine a rule for which shapes can be made by walking in front of the CBR. Rate of Change
Functional Relationships
Walking Toy Students learn about the relationship between time and distance for a toy that moves at a constant speed. Rate of Change
Ordered pairs
Linear relationships
Constant speed
Data interpretation
Experimental Design
Walk the Line Students record distance versus time data for a person walking at a uniform rate, analyze the data to extract slope and intercept information, and interpret the slope and intercept information for physical meaning. Measurement
Experimental Design
Speed and Velocity
Linear Functions
Slope and y-Intercept
Walk Like Me Students will learn how to identify the graphs of various kinds of motion that vary in speed and direction. Relationship between motion, direction, and speed
Measurement
Experimental Design
Hot Diggity Hot Rod This activity demonstrates how the real-life concept of velocity can be used to show students how to develop linear regressions and interpret data gathered. Velocity and Speed
Measurement
Domain and Range
Experimental Design
Linear Functions
Distance vs. Time Graphs
Walking the Beam Students compare data collected over several trials in which aspects of the motion are varied. Time, distance and displacement
Linear relationships, constant speed, and data interpretation
Measurement
Experimental Design
Metric Rules
(Book activity)
In this activity students measure different linear objects, develop strategies for converting from one linear measurement to another, use ratios to compare different units of measure and investigate significant digits in measurement and unit analysis. Measurement
Geometry
Data Collection
Ratio
Them Bones Students measure their bones and determine the relationships between the various bone sizes. Measurement
Experimental Design
Linear Functions
Statistical Analysis
Module 2    
TI Connect™ Quick Start This activity outlines the use of TI Connect™ computer software.  
StrideRight: Putting Your Best Foot Forward This activity uses the CBR in GAUGE mode to measure distance and develop formulas to estimate distance. Estimating and measuring distance
Purging the Pool Plunge This activity teaches students how depth and pressure are related. Relationship between depth and pressure
Sharing and Storing Data (Book activity)    
Heads Up Students become familiar with generating data from the PROB SIM APP, in order to understand probability concepts. Data collection
Probability
It's a Dense Matter This activity helps students explore and understand mass versus volume as you compare and graph the densities of various liquids. Mass
Volume
Density
Hello, Dolly (Book activity)    
Mapping a Leap (Book activity)    
Energized This activity explores the transformation of chemical energy into electrical energy by investigating the voltage of various batteries. Collect, display, and analyze the data. Visually represent data with box plots
Calculate median and mean of several data lists
Explore the transformation of chemical energy into electrical energy
Statistics Investigation Students become very familiar with data, how to organize it, how to enter it into the TI-73 to create statistical plots, and to understand the meaning of those plots. Data Collection
Statistics
Module 3    
Charge It In this activity students collect voltage data from a discharging capacitor using the CBL 2 data collection system and a voltage sensor. The capacitor will be connected to another circuit element called a resistor, which is used to control the rate at which the capacitor discharges. The voltage data you collect will be used to develop an exponential model. Voltage
Exponential Models
Hey! Newton's Cool This is an introductory exercise that helps students visualize the properties of heating and cooling liquids while beginning to understand the concept of exponential decay. Heat Transfer
Exponential decay
Double Your Pleasure This activity helps students understand population growth and how it can be modeled mathematically. Population Growth
Exponential Models
The Dice are Die-ing! Students analyze population data to develop the concept of exponential decay. Population Growth
Exponential Models
Achoooo! Students investigate how curves can help to analyze rates of growth. Logistic Growth
Project Guidelines PDP participants learn how to develop an original activity to be used in a classroom.  
Seven Speedy Pieces (Book activity) Students experimentally determine the effect of position up an inclined plane in relation to the coasting distance traveled Measurement
Data Analysis
The Golf Ball Challenge (Book activity) In this activity, students compare different golf balls based on their ability to bounce when dropped from a set height. They also look at the ratio of bounce heights for consecutive bounces, examine the pattern to see if it appears to be geometric, and determine the rate of decay of the bounce. Geometric Sequences
Algebra
Number Sense
Data Collection
Drugs - A Diminishing Return Students examine the nature of drug distribution in the blood stream. Mathematical Modeling
Module 4    
Sunrise, Sunset (Book activity) Students explore the relationship between light intensity and air temperature over a 24-hour period. Periodic functions
Weather
Jumpin' for Joy In this activity, students use a light sensor and a CBL 2 to measure how long they are in the air during a jump. This "hang time" is used to calculate the height of the jump. The data set made up of all jump heights for all the students in the class is analyzed using statistical tools of the TI-73. Important features of these data are summarized in the form of a box plot or box-and-whisker plot. Plotting data using box plots and box-and-whisker plots
Beverage Tests
(Book activity)
Students explore the concept of pH and use deductive reasoning to identify a mystery solution. Comparing Graphs
A Tall Story (Book activity) Students explore their model of growth. Limitations of various models are discussed. Functional relationships
A Tale of Two Temperatures (Book activity) Students discover the relationship between Fahrenheit and Celsius temperature. Temperature
Linear Relationships
WATT's the Deal? (Book activity) Students investigate the relationship between power ratings (watts) for light bulbs and the intensity of light given off at a fixed distance. Measurement
Data Analysis
Algebra
Data Collection
Experimental Design
GUTing the Light Sensor From a Distance Students use a light sensor, CBR™, and a CBL 2™ to explore the relationship between light intensity from a fixed source and the distance from the source. The data are analyzed using statistical tools of the TI-73. Important features of these data are summarized in the form of a graph and then a curve fit is used both manually and using the built-in features of the TI-73 to create a model describing the relationship. Measurement
Manual fitting data to model, use of built-in regressions or other statistical analysis
Geometry
Module 5    
Snow Geese Students use real-life data on geese populations to help students understand predicting and linear regression. Estimation and graphing
Squares
Linear Regression
Presentation of Projects PDP participants present their original activities.  
Modules 6-9    
Materials in these modules focus on leadership and training adult learners. The materials are used throughout the 9-day course. Below is a summary of the items covered.
  • Debriefing and evaluation of progress since last course
  • Needs assessment
  • Technology Issues
  • Discussion of participant performance expectations
    • This presentation
    • Future commitments
  • Pedagogy and assessment
  • Content-area-specific activities
  • Assignment: Adult Learner Research
  • Assignment: Research on Effects of Calculators in the Classroom
  • Assignment: Research on Effective Leadership
  • Adult Learner discussion
  • Calculator Research discussion
  • Effective Leadership discussion
  • Preparing Handouts
  • Computer Activities/Software
    • TI-Connect
    • TI-Navigator
    • TI-InterActive!
    • TI-SmartView
    • Internet "Exploration"
    • Apps Companion Software
      • Cellsheet Converter
      • Studycards Creator
      • Notefolio Creator `
      • Learning Check Creator
  • Presentations and evaluations
Post Course Work    
Post-course assessment Establishes participant's level of competence coming out of the course.  
 
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