Using Your TI-84 Plus CE Part 2: Basic Graphing

KermMartian
21 Jul 201511:26
EducationalLearning
32 Likes 10 Comments

TLDRIn this video, Christopher Mitchell, author of 'Using the TI-84 Plus, Second Edition,' demonstrates how to use the TI-84 Plus CE calculator for basic graphing in function mode. The tutorial covers accessing graph tools, entering and graphing equations, adjusting graph settings, and troubleshooting common issues. Mitchell also provides tips on formatting graphs and exploring intersections, along with troubleshooting tips. The video aims to equip viewers with essential graphing skills using the TI-84 Plus CE, making it a valuable resource for learners.

Takeaways
  • πŸ“š The video is a tutorial on using the TI-84 Plus CE calculator for graphing in function mode, as part of a series by Christopher Mitchell, author of 'Using the TI-84 Plus' second edition.
  • πŸ”’ The TI-84 Plus CE calculator can be used for basic math operations, including arithmetic, square roots, trigonometry, and graphing functions.
  • πŸ“ˆ To access graphing tools, you use the 'Y=' key and navigate through the menu to enter equations, change graph bounds, zoom, and trace points on the graph.
  • πŸŽ›οΈ The 'Function' mode must be enabled for graphing, which can be checked and selected using the 'Mode' key.
  • πŸ“‰ The first equation demonstrated is 'Y1 = X', which graphs a line with a slope of 1, passing through the origin.
  • πŸ” The 'Trace' function allows you to examine specific points on the graph, displaying the coordinates as you move the cursor.
  • πŸ”„ You can enter multiple equations (e.g., 'Y2 = X^2 + 3X + 1') and switch between their graphs using the up and down arrows.
  • πŸ€” The 'Calculate' tool helps find characteristics of the graph, such as intersections, zeros, minimums, maximums, and derivatives.
  • πŸ› οΈ The 'Format' option lets you customize the graph's appearance, including grid lines, coordinate display, and axis colors.
  • πŸ”§ The 'Window' settings can be adjusted to focus on specific areas of the graph, by setting the minimum and maximum bounds for X and Y axes, and the scale.
  • πŸ”„ The 'Zoom' function offers various ways to view the graph, including zooming in/out and resetting to the standard view.
  • ❗ Troubleshooting tips are provided for common issues like 'invalid dimension' errors, which occur when graphing is attempted without proper setup.
  • πŸ“˜ The video concludes with a recommendation to purchase 'Using the TI-84 Plus' second edition for more in-depth information on graphing and calculator functions.
Q & A

  • What is the main topic of the video series?

    -The main topic of the video series is teaching viewers how to use the TI-84 Plus CE calculator for basic math and graphing functions.

  • Which key on the TI-84 Plus CE calculator is used to access the graph tools?

    -The 'Y=' key is used to access the graph tools on the TI-84 Plus CE calculator.

  • What does the 'Window' option allow you to do on the calculator?

    -The 'Window' option allows you to change the bounds of the screen and adjust the zoom settings on the calculator.

  • How do you enter the independent variable 'X' in function mode on the TI-84 Plus CE calculator?

    -You enter the independent variable 'X' by pressing the 'X,T,ΞΈ,N' key directly under 'MODE' in function mode.

  • What happens when you press the 'Graph' key on the calculator?

    -Pressing the 'Graph' key displays a graph of all the equations that you have entered.

  • How can you find the intersection point of two graphs on the calculator?

    -You can find the intersection point of two graphs using the 'Calculate' tool and selecting the 'Intersect' option.

  • What does the 'Trace' function show on the graph?

    -The 'Trace' function shows a flashing cursor on the line along with the x and y coordinates of the cursor at the bottom of the screen.

  • How can you change the format of the graph on the calculator?

    -You can change the format of the graph by pressing '2nd' and then 'Zoom' to access options such as rectangular or polar coordinate display, grid lines, and axis colors.

  • What is the purpose of the 'Window' settings in graphing?

    -The 'Window' settings allow you to set the minimum and maximum bounds for the x and y axes and adjust the scale of the tick marks to focus on specific areas of the graph.

  • How do you reset the graph to the default zoom settings on the calculator?

    -You can reset the graph to the default zoom settings by selecting 'ZoomStandard' in the 'Zoom' menu.

  • What should you do if you encounter an 'Invalid Dimension' error while trying to graph a function?

    -If you encounter an 'Invalid Dimension' error, you should check if any plot settings are enabled and disable them by pressing 'ENTER' when the plot option is highlighted in white text on a black background.

  • What additional tools are available for graph manipulation and analysis on the TI-84 Plus CE calculator?

    -Additional tools include the 'Table' for examining function values at various points, 'Style' options for changing line colors and types, and various 'Zoom' functions for different viewing perspectives.

Outlines
00:00
πŸ“Š Introduction to Graphing with TI-84 Plus

Christopher Mitchell welcomes viewers to a series on using the TI-84 Plus calculator. This part covers basic graphing in function mode. He explains how to access graph tools using the top five keys on the calculator, including the Y= key for entering equations, the Window key for setting graph bounds, and others. Viewers learn to graph their first equation, Y=X, using these tools. Mitchell demonstrates entering and graphing a simple linear equation and then finding the intersection of two graphs using the calculator's calculate tools.

05:00
πŸ–ŒοΈ Formatting and Troubleshooting Graphs

The video continues with a focus on formatting and customizing the graph display. Mitchell shows how to display a grid behind the graph and change the color of the axes. He then demonstrates zooming in on the graph, setting custom bounds to focus on specific graph areas, and troubleshooting common errors like the 'invalid dimension' error. Mitchell also covers using the table feature to view coordinates and changing line styles for better graph visualization.

10:02
πŸš„ Practical Applications and Additional Features

In the final part, Mitchell outlines the practical applications and additional features of the TI-84 Plus calculator. He mentions scenarios like calculating the trajectory of a ball or determining the meeting point of two trains. The video also touches on more advanced zoom functions, graph manipulation, and formatting options, such as adding grids and changing axis labels. Mitchell encourages viewers to read his book for more comprehensive guidance and examples.

Mindmap
Keywords
πŸ’‘TI-84 Plus CE
The TI-84 Plus CE is a graphing calculator produced by Texas Instruments, known for its advanced capabilities in mathematical computations and graphing. In the video, it is the primary tool used to demonstrate various graphing techniques and functions, emphasizing its importance in the educational context of the video.
πŸ’‘Graphing
Graphing is the process of visually representing data or mathematical functions on a coordinate plane. The video script focuses on teaching viewers how to graph equations using the TI-84 Plus CE calculator, which is central to understanding the calculator's functionality and its application in solving mathematical problems.
πŸ’‘Function Mode
Function mode is a setting on the TI-84 Plus CE calculator that allows users to graph equations in the form of y = f(x). The video script explains how to enable function mode to graph equations like y = x and y = x^2 + 3x + 1, which are fundamental to demonstrating basic graphing operations.
πŸ’‘Y-Equals Key
The 'Y=' key on the TI-84 Plus CE calculator is used to access the equation entry screen for graphing. The script describes pressing this key to enter different equations that will be graphed, showcasing its role in initiating the graphing process.
πŸ’‘Trigonometry
Trigonometry is a branch of mathematics that deals with the relationships between the angles and sides of triangles. Although not the main focus of the video, trigonometry is mentioned as one of the areas where the TI-84 Plus CE calculator can be used, indicating its versatility in mathematical applications.
πŸ’‘Trace
The trace function on the TI-84 Plus CE calculator allows users to examine specific points on a graph. In the script, trace is used to show the x and y coordinates of points along the graphed line y = x, helping viewers understand how to analyze graphs for precise data points.
πŸ’‘Intersection
An intersection in the context of the video refers to the point where two graphs meet. The script explains how to use the calculator's 'intersect' function to find the point where the graphs of y = x and y = x^2 + 3x + 1 cross, which is a key concept in understanding how to solve systems of equations graphically.
πŸ’‘Zoom
Zoom is a feature on the TI-84 Plus CE calculator that allows users to adjust the view of the graph for a closer look or a broader perspective. The script describes using zoom to focus on specific areas of a graph, such as the intersection point, to better understand the graph's behavior in that region.
πŸ’‘Window
The window in the context of the video refers to the viewing area of the graph on the calculator's screen. The script discusses adjusting the window settings to change the bounds of the graph, which is essential for focusing on particular areas of interest within the graph.
πŸ’‘Format
Format in the video script refers to the various display options for the graph, such as grid lines, axis colors, and coordinate systems. The script explains how to change the format to enhance the visual representation of the graph, which aids in better understanding and interpreting the graph's data.
πŸ’‘Plot
A plot in the script refers to the graphical representation of a mathematical function or data set. The video explains how to disable certain plot types when not needed to avoid errors, such as the 'invalid dimension' error, which is crucial for troubleshooting and ensuring correct graphing.
Highlights

Introduction to the video series on using the TI-84 Plus CE calculator for basic graphing.

Explanation of how to access graph tools on the TI-84 Plus CE calculator.

Guidance on entering equations to graph in function mode.

Instructions on how to enable function mode for graphing.

Demonstration of graphing the simple equation y=x.

Using the trace function to examine points on the graph.

Switching between different graphs using the up and down arrows.

Entering a second equation to graph a parabola.

Observing the intersection of two graphs and finding the point of intersection.

Using the calculate tool to find characteristics of the graph, such as intersections.

Changing the format of the graph, including grid display and axis colors.

Adjusting the window settings to focus on a specific area of the graph.

Zooming in and out on the graph for a closer or broader view.

Resetting to the default zoom settings for a standard view.

Troubleshooting tips for common graphing errors, such as invalid dimension errors.

Using the table and style options for further graph analysis and customization.

Recommendation of the book 'Using the TI-84 Plus' for more detailed information on graphing.

Conclusion and invitation to visit Kemah TechNet for further questions.

Transcripts

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GraphingCalculatorTI-84 PlusEducationalTrigonometryArithmeticFunction ModeVideo TutorialChristopher MitchellMathematics