Texas Instruments CBR 2 manual Activity 2-Match the Graph, Typical plot, Typical answers

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Activity 2—Match the Graph

Notes for Teachers

 

 

Concepts

Function explored: linear

Distance Match introduces the real-world concepts of distance and time—or more precisely, the concept of distance versus time.

In Explorations, students are asked to convert their rate of walking in meters per second to kilometers per hours.

Once they have mastered the Distance-Time match, challenge your students to a Velocity-Time match.

Materials

Ÿcalculator (see page 2 for available models)

ŸCBR 2™ motion detector

Ÿunit-to-CBR 2™ or I/O unit-to-unit cable

ŸEasyData application or RANGER program

A TI ViewScreené panel allows other students to watch—and provides much of the fun of this activity.

Hints

Students really enjoy this activity. Plan adequate time because everybody will want to try it!

This activity works best when the student who is walking (and the entire class) can view his or her motion projected on a wall or screen using the TI ViewScreené panel.

Guide the students to walk in-line with the CBR 2™ motion detector; they sometimes try to walk sideways (perpendicular to the line to the CBR 2™ motion detector) or even to jump up!

Instructions suggest that the activity be done in meters, which matches the questions on the student activity sheet.

See pages 6–9 for hints on effective data collection.

Typical plot

Distance vs. Time

Matching Distance vs. Time

Typical answers

1.time (from start of sample); seconds; 1 second; distance (from the CBR 2™ motion detector to the object); meters; 1 meter

2.the y-intercept represents the starting distance

3.varies by student

4.backward (increase the distance between the CBR 2™ motion detector and the object)

5.forward (decrease the distance between the CBR 2™ motion detector and the object)

6.stand still; zero slope requires no change in y (distance)

7.varies by graph; @yà3.3

8.varies by graph; @yà1

9.the segment with the greatest slope (positive or negative)

10.this is a trick question—the flat segment, because you don’t move at all!

11.walking speed; when to change direction and/or speed

12.speed (or velocity)

13.varies by graph (example: 1.5 meters in 3 seconds)

14.varies by graph; example: 0.5 metersà1 second

example: (0.5 meters à 1 second) Q (60 seconds à 1 minute) = 30 meters à minute

example: (30 meters à 1 minute) Q (60 minutes à 1 hour) = 1800 meters à hour

example: (1800 meters à 1 hour) Q (1 kilometer à 1000 meters) = 1.8 kilometers à hour.

Have students compare this last number to the velocity of a vehicle, say 96 kilometers à hour (60 miles per hour).

15.varies by graph; sum of the @y for each line segment.

14 GETTING STARTED WITH THE CBR 2™ SONIC MOTION DETECTOR

© 2004 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 InstructionsTI Service and Warranty Texas Instruments TI Warranty InformationFor US Customers Only 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.
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