Texas Instruments CBR User Manual

Texas Instruments CBR User Manual

Calculator-based ranger including 5 student activities

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ETTING
ETTING
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STUDENT ACTIVITIES
STUDENT ACTIVITIES
S S
TARTED WITH
TARTED WITH
INCLUDING
INCLUDING
CBR™
CBR™

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Summary of Contents for Texas Instruments CBR

  • Page 1 ETTING ETTING STUDENT ACTIVITIES STUDENT ACTIVITIES TARTED WITH TARTED WITH INCLUDING INCLUDING CBR™ CBR™...
  • Page 2 Calculator-Based Rangeré (CBRé) clamp Important notice regarding book materials Texas Instruments makes no warranty, either expressed or implied, including but not limited to any implied warranties of merchantability and fitness for a particular purpose, regarding any programs or book materials and makes such materials available solely on an “as-is”...
  • Page 3: Table Of Contents

    Table of contents NTRODUCTION What is CBR? Getting started with CBR — It’s as easy as 1, 2, 3 Hints for effective data collection Activities with teacher notes and student activity sheets ³ Activity 1 — Match the graph ³...
  • Page 4: What Is Cbr

    What’s in this guide? Getting Started with CBRé is designed to be a guide for teachers who don’t have extensive calculator or programming experience. It includes quick-start instructions for using on effective data collection, and five classroom activities to explore basic functions and properties of motion.
  • Page 5 (on back) includes everything you need to begin classroom activities easily and quickly — just add TI graphing calculators (and readily available props for some activities). sonic motion detector program in the RANGER...
  • Page 6: Getting Started With Cbr-It's As Easy As

    Getting started with CBR—It’s as easy as 1, 2, 3 With , you’re just three simple steps from the first data sample! Connect Connect using the calculator-to- Push in firmly at both ends to make the connection. Note: The short calculator-to-calculator cable that comes with the calculator also works.
  • Page 7: Getting Started With Cbr — It's As Easy As 1

    For quick results, try one of the classroom- This guide applies to all TI graphing calculators that can be used with ready activities in this so you may find that some of the menu names do not match exactly those guide! on your calculator.
  • Page 8: Hints For Effective Data Collection

    Hints for effective data collection Getting better samples How does CBR work? Understanding how a sonic motion detector works can help you get better data plots. The motion detector sends out an ultrasonic pulse and then measures how long it takes for that pulse to return after bouncing off the closest object.
  • Page 9 Conversely, samples taken in a room filled with hard, reflective surfaces are more likely to show stray data points. Measurements of irregular surfaces (such as a toy car or a student holding a calculator while walking) may appear uneven.
  • Page 10 , after sampling has stopped, REALTIME=NO recent sample, but does not transfer the data to the calculator. To transfer this data, from choose MAIN MENU sample by choosing screen.)
  • Page 11 For an activity with a higher-than-average likelihood of stray signals, you may wish to increase the smoothing on the For already-collected calculator must be connected to the choose SMOOTH DATA Noise—what is it and how do you get rid of it?
  • Page 12 TOOLS You also can share the same data with many students, even if they are using different types of TI graphing calculators. This allows all students to participate in data analysis activities using the same data (see page 11). ETTING...
  • Page 13 GET CBR DATA Press to return to the › Connect another calculator (of the same type) to the calculator with the data. On the receiving calculator, from the menu, choose TOOLS set the sending calculator. When it is ready, press are transferred automatically.
  • Page 14 From the versus Plot1 Data and plots can be sent to a computer using TI-Graph Link. This is especially useful when students generate more involved reports of their activity findings. Using CBR without the RANGER program You can use...
  • Page 15: ³ Activity 1 - Match The Graph

    (and the entire class) can view his or her motion projected on a wall or screen using the TI ViewScreen. Guide the students to walk in-line with the CBR; they sometimes try to walk sideways (perpendicular to the line to the CBR) or even to jump up!
  • Page 16: Activity 1 - Match The Graph Linear

    Activity 1—Match the graph Data collection Hold the in one hand, and the calculator in the other. Aim the sensor directly at a wall. Hints: The maximum distance of any graph is 4 meters (12 feet) from the minimum range is 0.5 meters (1.5 feet). Make sure that there is nothing in the clear zone (see page 7).
  • Page 17: Linear

    Activity 1—Match the graph Explorations , all graphs are comprised of three straight-line segments. DISTANCE MATCH Press to display the › segment and answer questions 7 and 8. Study the entire graph and answer questions 9 and 10. Position yourself where you think the graph begins, press and try to match the graph.
  • Page 18 Activity 1—Match the graph Data collection 1. What physical property is represented along the x-axis? _____________________________________ What are the units? What physical property is represented along the y-axis? _____________________________________ What are the units? 2. How far from the do you think you should stand to begin? ______________________________ 3.
  • Page 19 The motion of a motorized toy car is used to illustrate the real-world concept of constant velocity. Materials Ÿ calculator Ÿ CBR Ÿ calculator-to-CBR cable Ÿ battery-operated toy car Ÿ TI ViewScreen (optional) Hints Toy cars vary greatly in size, shape, and angle of reflection of the incident ultrasonic sound.
  • Page 20 You can hear a clicking sound as the data is collected and the message TRANSFERRING... When the data collection is concluded, the calculator automatically displays a Distance- Time plot of the collected data points. Compare the plot of the data results to your prediction in answer 1 for similarities and differences.
  • Page 21: Linear

    Also, you may need to approximate the distance (the calculator may give you distance for 0.957 and 1.01 seconds instead of exactly 1 second). Pick the closest one or take your best guess.
  • Page 22 Activity 2—Toy car Data collection 1. Which of these do you think will match the Distance-Time plot of the toy car? Why?________________________________________________________________________________ Time Distance @Distance 3. What do you notice about the Distance values? ____________________________________________ 4. How do these results show that the toy car had constant velocity? ____________________________ 5.
  • Page 23: ³ Activity 3 - Pendulum

    Concepts Function explored: sinusoidal. Explore simple harmonic motion by observing a free- swinging pendulum. Materials Ÿ calculator Ÿ CBR Ÿ calculator-to-CBR cable Ÿ mounting clamp Ÿ stopwatch Ÿ pendulum Ÿ meter stick Ÿ TI ViewScreen (optional) Ideas for weights: balls of different sizes ( 2" diameter)
  • Page 24 A pendulum cycle (a period) consists of one complete swing back and forth. Using a stopwatch, time ten full periods. Answer questions 3 and 4. Run the RANGER method is for one person start the pendulum while another operates the calculator and . From the MAIN MENU Press to display the settings.
  • Page 25: Sinusoidal

    Enter this equation in the Y= editor using the calculated values of A and w. Simultaneously graph this function and the statistical plot of of A, w, and d until a good fit is obtained. On the TI-83 or TI-86, use the sine regression to determine the values.
  • Page 26 Activity 3—Pendulum Data collection 1. What is the distance from 2. How far will you pull the pendulum away from the equilibrium position? ______________________ 3. What was the time for ten periods? _____________________________________________________ Calculate how long (in seconds) it took to complete one period. _____________________________ What is the benefit of timing ten complete periods instead of just one? _______________________ 4.
  • Page 27: ³ Activity 4 - Bouncing Ball

    Y = A(X – H) bouncing ball. Materials Ÿ calculator Ÿ CBR Ÿ calculator-to-CBR cable Ÿ large (9-inch) playground ball Ÿ TI ViewScreen (optional) Hints This activity is best performed with two students, one to hold the ball and the other to push ¤.
  • Page 28 Observe that BALL BOUNCE questions 3 and 4. ETTING TARTED WITH at least 0.5 meters (1.5 feet) above the height of the highest program (see page 5 for keystrokes for each calculator). choose . Choose APPLICATIONS menu choose BALL BOUNCE .
  • Page 29: Parabolic

    Activity 4—Bouncing ball Explorations The Distance-Time plot of the bounce forms a parabola. Press . From the › want to select the first full bounce. Move the cursor to the base of the beginning of the bounce, and press then press ›...
  • Page 30 Activity 4—Bouncing ball Data collection 1. What physical property is represented along the x-axis? _____________________________________ What are the units? ___________________________________________________________________ What physical property is represented along the y-axis? _____________________________________ What are the units? ___________________________________________________________________ 2. What does the highest point on the plot represent? ________________________________________ The lowest point? _____________________________________________________________________ 3.
  • Page 31 See pages 6–12 for hints on effective data collection. Typical plots 15¡ 30¡ Typical answers 1. the third plot 2. time; seconds; distance of object from CBR; feet or meters OPYING PERMITTED PROVIDED COPYRIGHT NOTICE IS INCLUDED © T EXAS NSTRUMENTS...
  • Page 32 Answer question 1 on the activity sheet. Set the ramp at a 15° incline. Attach the clamp to the top edge of the ramp. Attach the and position it perpendicular to the ramp. Attach the calculator to the Mark a spot on the ramp 0.5 meters (1.5 feet) from the ball at this mark, while a second student holds the calculator.
  • Page 33: Parabolic

    Activity 5—Rolling ball Explorations Examine what happens for differing inclines. Predict what will happen if the incline increases. Answer question 6. Adjust the incline to 30¡. Repeat steps 2 through 6. Add this plot to the drawing in question 6, labeled 30¡. Repeat steps 2 through 6 for inclines of 45¡...
  • Page 34 Activity 5—Rolling ball Data collection 1. Which of these plots do you think best matches the Distance-Time plot of a ball rolling down a ramp? 2. What physical property is represented along the x-axis? _____________________________________ What are the units? ___________________________________________________________________ What physical property is represented along the y-axis? _____________________________________ What are the units? ___________________________________________________________________ 3.
  • Page 35: Teacher Information

    Teacher information How might your classes change with CBR? is an easy-to-use system with features that help you integrate it into your lesson plans quickly and easily. 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.
  • Page 36 Teacher information CBR plots—connecting the physical world and mathematics The plots created from the data collected by relationships between the physical and mathematical descriptions of motion. Students should be encouraged to recognize, analyze, and discuss the shape of the plot in both physical and mathematical terms.
  • Page 37 Teacher information The mathematics of distance, velocity, and acceleration @ t = average instantaneous @ t " 0 @t = average instantaneous @t " 0 The area under the Velocity-Time plot from t to t (net distance traveled). @d = v(@t) OPYING PERMITTED PROVIDED COPYRIGHT NOTICE IS INCLUDED...
  • Page 38 Additional resources Texas Instruments’ Explorations books provide supplemental material related to TI graphing calculators, including books with classroom activities for and high-school math and science classes. ETTING TARTED WITH (cont.)
  • Page 39: Cbr Data Is Stored In Lists

    CBR data is stored in lists Collected data is stored lists L1, L2, L3, and L4 When collects data, it automatically transfers it to the calculator and stores the data in lists. Each time you exit the contains time data.
  • Page 40: Ranger Settings

    RANGER settings Changing RANGER settings displays the most commonly used settings before data collection begins. RANGER From the MAIN MENU settings are shown. 4 indicates the location of the cursor. MAIN MENU REALTIME: TIME (S): DISPLAY: BEGIN ON: SMOOTHING: UNITS: Press c or b to move to the setting you want to change.
  • Page 41: Using Cbr With Cbl Or With Cbl Programs

    . The statement must be at a point before program. RANGER program and program. Check the TI web site (see page 36), which may have program. A special cable is required to connect You may order the cable by calling 1-800-TI-CARES.
  • Page 42: Programming Commands

    Programming commands Command 0 Clears and resets system Clears all. Resets power-on defaults. Channel 11 automatically selected. Command 1 Clears channels Clears channel settings; does not clear errors Command 1 Channel operation (REALTIME=NO) (REALTIME=NO) (REALTIME=NO) (REALTIME=NO) operation (REALTIME=YES) (REALTIME=YES) (REALTIME=YES) (REALTIME=YES) (REALTIME=YES) (REALTIME=YES)
  • Page 43 Programming commands Command 4 Temperature compensation equation# (default) equation_type (default) temperature floating-point number units (default) Command 5 ( ) Data range setup REALTIME=NO first_channel (default) 1, 2, 3, 11, 21 data_select data_begin 1–512 data_end 0–512 Command 6 Systems options system_command (default) operation floating-point number...
  • Page 44: Batteries

    -. Slide the cover back on. begin sampling. CBR low battery warnings has two mechanisms to alert you that the batteries are low: program displays a warning message on calculator screen while trying to RANGER collect data. The red light flashes intermittently while the CBR battery power status You can check the battery power before you begin sampling.
  • Page 45: In Case Of Difficulty

    Check for low batteries (see page 42). If you set down the CBR with the ¤ button face down, the ¤ button may depress and activate sampling. Press ¤ again to stop sampling. Before storing the...
  • Page 46: Ti Service And Warranty

    Warranty Performance. During the above one (1) year warranty period, your defective product will be either repaired or replaced with a reconditioned model of an equivalent quality (at TI’s option) when the product is returned, postage prepaid, to Texas Instruments Service Facility. The warranty of the repaired or replacement unit will continue for the warranty of the original unit or six (6) months, whichever is longer.
  • Page 47: Getting Started With Cbr

    MAIN MENU QUIT PLOT MENU SHOW PLOT SELECT DOMAIN REALTIME=YES REPEAT SAMPLE MAIN MENU QUIT TOOLS GET CBR DATA GET CALC DATA TOOLS CBR STATUS STOP/CLEAR CBR MAIN MENU QUIT OPYING PERMITTED PROVIDED COPYRIGHT NOTICE IS INCLUDED © T EXAS...

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