Texas Instruments CBR 2 manual Teacher Information

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Teacher Information

How might your classes change with a CBR 2™ sonic motion detector?

The CBR 2™ motion detector is an easy-to-use system with features that help you integrate it into your lesson plans quickly and easily.

The CBR 2™ motion detector offers significant improvements over other data-collection methods you may have used in the past. This, in turn, may lead to a restructuring of how you use class time, as your students become more enthusiastic about using real-world data.

0You’ll find that your students feel a greater sense of ownership of the data because they actually participate in the data-collection process rather than using data from textbooks, periodicals, or statistical abstracts. This impresses upon them that the concepts you explore in class are connected to the real world and aren’t just abstract ideas. But it also means that each student will want to take his or her turn at collecting the data.

0Data collection with CBR 2™ motion detector is considerably more effective than creating scenarios and manually taking measurements with a ruler and stopwatch. Since more sampling points give greater resolution and since a sonic motion detector is highly accurate, the shape of curves is more readily apparent. You will need less time for data collection and have more time for analysis and exploration.

0With CBR 2™ motion detector students can explore the repeatability of observations and variations in what-if scenarios. Such questions as “Is it the same parabola if we drop the ball from a greater height?” and “Is the parabola the same for the first bounce as the last bounce?” become natural and valuable extensions.

0The power of visualization lets students quickly associate the plotted list data with the physical properties and mathematical functions the data describes.

Other changes occur once the data from real-world events is collected. CBR 2™ motion detector lets your students explore underlying relationships both numerically and graphically.

Explore data graphically

Use automatically generated plots of distance, velocity, and acceleration with respect to time for explorations such as:

0What is the physical significance of the y-intercept? the x-intercept? the slope? the maximum? the minimum? the derivatives? the integrals?

0How do we recognize the function (linear, parabolic, etc.) represented by the plot?

0How would we model the data with a representative function? What is the significance of the various coefficients in the function (e.g., AX2 + BX + C)?

Explore data numerically

Your students can employ statistical methods (mean, median, mode, standard deviation, etc.) appropriate for their level to explore the numeric data. When you exit the EasyData application or RANGER program, a prompt reminds you of the lists in which time (L1), distance (L2), velocity L3), and acceleration (L4) are stored.

32 GETTING STARTED WITH THE CBR 2™ SONIC MOTION DETECTOR

© 1997, 2004, 2006 TEXAS INSTRUMENTS INCORPORATED

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Contents Getting Started with the CBR 2 Sonic Motion Detector Important notice regarding book materials Table of Contents What does the CBR 2 sonic motion detector do? What is the CBR 2 Sonic Motion Detector?What’s in this guide? With a range between Download Getting started with the CBR 2 Sonic Motion DetectorRun Important informationHints for effective data collection Getting better samplesClear zone Sample Interval Speed of sound Activity 1-Graphing Your Motion Notes for Teachers Objectives Activity 1-Graphing Your Motion LinearData collection Distance vs. Time Graphs TI-83/84 Family users TI-89/Titanium/92+/V200 Activity 1-Graphing Your Motion Linear Typical plot Activity 2-Match the GraphTypical answers Activity 2-Match the Graph Linear Data collectionExplorations Study the graph and answer questions 13, 14,Activity 2-Match the Graph Name Sample results Activity 3-A Speedy SlideExtensions Activity 3-A Speedy Slide Parabolic Data collection, Part 1, Sliding SpeedActivity 3-A Speedy Slide Parabolic Activity 3-A Speedy Slide Parabolic Speedier Slide Plan Data Data collection, Part 2, a Speedier SlideData processing Activity 3-A Speedy Slide Explorations Activity 4-Bouncing BallAdvanced explorations Activity 4-Bouncing Ball Parabolic Advanced explorations Distance-Time plot of the bounce forms a parabolaActivity 4-Bouncing Ball How do the data plot and the Yn graph compare?Activity 5-Rolling Ball Activity 5-Rolling Ball Parabolic Answer question Activity 5-Rolling Ball Teacher Information L3n = Mathematics of distance, velocity, and acceleration = slope of Distance-Time plotWeb-site resources Additional resourcesSonic motion detector data is stored in lists Using the data listsCollected data is stored in lists L1, L2, L3, L4 in Ranger Changing EasyData settings EasyData Settings TI-83 and TI-84 Family CalculatorsRestoring EasyData settings to the defaults TI83/84 Family TI89/Titanium/92+/V200 1997, 2004, 2006 Texas Instruments Incorporated Batteries If you have this problem Try this Case of difficultyEasyData Menu Map TI-83 and TI-84 Family Calculators Ball Bounce InstructionsFor US Customers Only TI Service and WarrantyTexas Instruments TI Warranty Information Customers in the U.S. and Canada OnlyAustralia & New Zealand Customers only FCC information concerning radio frequency interferenceAll Other Customers

CBR 2 specifications

Texas Instruments has long been a prominent player in the field of educational technology, and the CBR 2 (Calculator-Based Ranger 2) is a testament to their commitment to enhancing the learning experience, particularly in the realms of mathematics and science. Designed to complement graphing calculators, the CBR 2 is a versatile data-collection device that empowers students and educators to explore real-world phenomena through hands-on experimentation.

One of the main features of the CBR 2 is its ability to capture a wide array of data through various sensors. The device is equipped with an array of built-in sensors that can measure motion, including speed and distance. This makes it an invaluable tool for physics experiments, allowing students to visualize concepts such as speed, acceleration, and trajectory.

The CBR 2 utilizes ultrasonic technology to detect distance through sound waves. This feature enables students to conduct experiments that demonstrate principles of sound and motion in a tangible way. With a range of up to 6 meters, the CBR 2 provides accurate and reliable measurements that can be graphically represented using compatible Texas Instruments graphing calculators.

The device is highly user-friendly, with simple interfaces that allow users to easily collect and analyze data. The integration with graphing calculators simplifies the process of data visualization, enabling students to create graphs in real time as they conduct experiments. This capability is particularly beneficial in encouraging interactive learning and fostering a deeper understanding of scientific principles.

The CBR 2 is designed to be portable and durable, making it suitable for classroom settings as well as outdoor experiments. Its compact size and lightweight construction ensure that it can be easily transported, allowing educators to take learning beyond the confines of the classroom.

The CBR 2 also supports various modes of data collection, including Event Mode, which allows users to trigger data collection based on specific events. This feature is useful in demonstrating concepts such as projectile motion and collisions, providing students with hands-on experience that enhances their learning.

In summary, Texas Instruments' CBR 2 is a powerful educational tool that enables students to collect, analyze, and visualize data in an engaging manner. With its built-in sensors, ultrasonic technology, and seamless integration with graphing calculators, the CBR 2 stands out as a versatile device that enriches the educational experience. It not only provides a platform for conducting experiments but also cultivates critical thinking skills and a deeper understanding of scientific concepts, preparing students for a future in STEM fields.