Integrating Multiple Technologies

Course Outline

The course outline below is intended for a 5 day institute. Local needs, number of days and participant levels will be taken into consideration by the instructor when choosing the activities. Please note that some modules are more than one day’s worth of activities.

Title of Activity	Overview	Math Concepts
Pre-course work
Pre-course assessment	Establishes participants’ level of competence coming into the course.
Module 1
Age Estimation	This activity provides an opportunity to establish participants’ level of graphing calculator competence coming into the course.	Graphical Interpretation Data Analysis
Slope-Intercept form of a line	A series of graphing activities designed to familiarize participants with the graphing capabilities of the Transformation Graphing app.	Slope y-intercept
I Walk the Line	In this activity, the participants use the CBR 2™ to collect motion data. Introduction to the Transformation Graphing App.	Slope y-intercept Interpretation of slope and intercepts Velocity Position
Pennsylvania Turnpike	In this activity we will collect linear data from the Internet to learn to handle hand entered data into TI InterActive!.	Slope y-intercept Interpretation of slope and intercepts
Leaving on a Jet Plane	In this activity we will collect linear data from the Internet to learn to handle hand entered data into TI InterActive!.	Slope y-intercept Interpretation of slope and intercepts
Module 2
Piece-wise Walk	In this activity participants will practice collecting motion data with the CBR 2™ by matching graphs and import this data into TI InterActive!. Piece-wise defined functions will be explored using TII.	Position Velocity Slope Y-Intercept Piece-wise Functions
NBA Field Goals	In this activity, the participants will extract data from the Internet to practice what they have learned about TI InterActive! and to compute regressions.	SlopE Intercepts Lines of fit
Linear Regression vs Median-Median Line	In this activity, the participants will discuss and investigate several lines of fit.	Line of Least Squares Median-Median Line
Lion and the Ranger	This activity moves students from function mode to parametric mode to investigate position as a function of time.	Linear Functions Parametric Functions Distance Midpoint
Radius, Circumference, and Area	In this activity, participants will collect radius, circumference, and area data using the Cabri^TM Jr app.	Radius Circumference Area Linear Functions Quadratic Functions Scale Factor
Using TI Connect	Participants will use TI Connect to make screen shots and back up their calculators.	Scatterplots Linear Functions Quadratic Functions
Module 3
Vertex Form of a Quadratic	This activity we will explore transformations of y=x2 in the vertex form of a parabola, y=a(x-h)2+k. Participants will practice creating an interactive document.	Transformations of y= a(x-h)2+k</li>
Ball Bounce	In this activity we will collect data from bouncing balls and find a mathematical model to fit one bounce using the Transformation Graphing App.	Vertex Form of a Parabola Transformations of y=x² Interpretation of parameters
Locus Definition of a Parabola	In this activity the Cabri^TM Jr app will be used to collect data for participants to explore the locus definition of a parabola.	Locus Definition of a Parabola Vertex Form of a Parabola Transformations of y=x²
Exploring and Creating Polynomials	The CAS capabilities of TI InterActive! will be used to explore the standard and intercept forms of polynomial functions.	Factoring Solving Equations Zero Product Property Multiplying Polynomials
Two-dimensional particle motion	Participants will explore two-dimensional particle motion while practicing with parametric functions.	Parametric Equations Particle Motion Acceleration Velocity Position
Creating a Learning Check	Participants will create a diagnostic assessment for use with the Navigator.	Any topic participant chooses
Module 4
Stopping Distances	In this activity, the participants will extract data from the Internet to practice what they have learned about TI InterActive!.	Linear Functions Quadratic Functions Adding Functions
Casting Out	In this data collection activity, participants will explore several exponential functions by collecting multiple sets of data.	Exponential Functions Probability
Similar Triangle Area Investigation	The participants will use Cabri^TM Jr to collect data to connect algebra and geometry.	Area of Triangles Similar Triangles Scale Factor Exponential Functions
Cooling Off	In this activity, the participants will use the CBL 2 to collect temperature data.	Transformations of y=ab^x Interpreting the meaning of the parameters of y=ab^(x-c)+d
Parameters of Sine and Cosine	This activity we will explore transformations of y=sin(x) and y=cos(x) in the vertex form of a parabola, y=a(cos(b(x-c)))+d and y=a(sin(b(x-c)))+d. Participants will practice creating an interactive document.	Transformations of y=cos(x) and/or y= sin(x)< /li>
Phases of the Moon	In this activity, the participants will collect data from the Internet. The Transformation Graphing App or TI InterActive! will be used to model the data.	Transformations of y=cos(x) and/or y=sin(x) Interpreting the meaning of the parameters of y= a·cos(b(x-c))+d and/or y= a·sin(b(x-c))+d< /li>
Module 5
Sunrise Sunset	In this activity, the participants will collect data from the Internet. The Transformation Graphing App or TI InterActive! will be used to model the data.	Transformations of y=cos(x) and/or y=sin(x) Interpreting the meaning of the parameters of y= a·cos(b(x-c))+d and/or y= a·sin(b(x-c))+d< /li>
Damped Harmonic Motion	In this activity we will collect damped harmonic motion data and find a function to model the oscillation of the plate over time.	Products of functions
Spread of a Disease	In this activity, the participants will collect data using a calculator simulation. The Transformation Graphing App or TI InterActive! will be used to model the data.	Transformations of a logistic function Interpreting the meaning of the parameters of a logistic function
Creating Student Handouts	Participants will create classroom documents using TI InterActive! and TI Connect.	Any topic participant chooses
Navigator Modules
Phases of the Moon	This activity is designed to have students to interpret the graph of the percent of the moon showing over the days of a month. The activity will lead students to relate each phase of the moon to its location on a model of the data for any month.	Concepts: interpreting graphs Navigator usage: pre-assessment LC, collect, aggregate, and send lists, post-assessment LC
Sunrise Sunset	This activity is designed to assess student understanding of hours of daylight per day over the course of the year. Students will be lead through a discussion of autumnal and vernal equinox and summer and winter solstice. Students will collect hours of daylight from an outside source. Using data collected by the students, the teacher will collate the class data, and use this data to analyze sinusoidal functions.	Concepts: sinusoidal functions Navigator usage: pre-assessment LC, collect, aggregate, and send lists, post-assessment LC
Modules 7-9
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
Declaration of Intentions
Post assessment	Establishes growth during the course
Next Steps in Technology	An overview of resources, products and services that will be beneficial to the participants.

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