Summary of Basic Math - Graphing with a Ti-83 or Ti-84 Calculator (2024)

Takeaways

Q & A

This paragraph introduces a tutorial on how to use TI-83 or 84 calculators for basic graphing. The focus is on entering equations, adjusting window size, and viewing graphs. The video will also cover trace features to evaluate graphs. The process begins with turning on the calculator and accessing the 'y equals' screen to enter equations, such as 'x cubed minus 2x'. Variables are entered using specific buttons, and equations are stored for viewing. Adjusting the window size is crucial for obtaining a clear graph, with default settings typically ranging from -10 to 10 for both x and y-axes. The tutorial emphasizes the importance of adjusting these settings to fit the graph's scale and details.

The second paragraph delves into adjusting window settings for better graph visualization and demonstrates how to graph equations. The window settings are modified to a smaller range, between -6 and 6 for both x and y-axes, to capture the details of the graph. The graph of 'y equals x cubed minus 2x' is shown as an example. Additionally, the tutorial explains how to enter a second equation, 'the square root of x minus 20', and the necessity of adjusting the window for this equation to accommodate its shifted position. The window settings are changed to view the graph effectively, with the x-axis range extended to 30. The paragraph concludes with instructions on how to clear or toggle the visibility of equations on the graph.

This paragraph highlights the trace feature on the calculator, which allows users to find specific points on the graph. By pressing the trace button, a cursor appears on the graph that can be moved using arrow buttons to identify points. The tutorial shows how to use the cursor to find approximate values, such as at x equals 1.9 and y equals 3.19. For more precision, users can input exact x values using the numerical buttons, and the calculator will display the corresponding y value and location on the graph. The trace feature is beneficial for evaluating specific x values and obtaining accurate coordinates on the graph.

💡TI-83/84 Calculators

The TI-83 and TI-84 are graphing calculators produced by Texas Instruments, widely used in mathematics education. In the video, they are the primary tools for demonstrating how to graph equations and explore their properties. The script mentions using these calculators to enter equations, adjust window sizes, and view graphs, emphasizing their importance in the process of graphing.

💡Graphing

Graphing is the process of visually representing data or equations on a two-dimensional plane. In the context of the video, graphing refers to the act of plotting mathematical equations on the TI-83/84 calculators to visualize their behavior. The script guides viewers through entering equations and adjusting settings to produce clear and informative graphs.

💡Y-Equals Screen

The 'Y-Equals Screen' is a specific mode on the TI-83/84 calculators where users can input equations to be graphed. The script describes accessing this screen by pressing the 'Y=' button and entering equations such as 'X cubed minus 2X' to prepare for graphing.

💡Equation Entry

Equation entry is the act of inputting mathematical expressions into the calculator. The video script details how to enter an equation like 'X cubed minus 2X' into the calculator, using the appropriate keys for variables and operations, which is a fundamental step in the graphing process.

💡Window Size

Window size refers to the range of values displayed on the x and y axes of the graph. The script explains how adjusting the window size can affect the visibility and detail of a graph, with the example of setting X min to -6 and X max to 6 to better view the curves of the equation.

💡Graph Button

The 'Graph Button' is used to initiate the graphing process on the calculator. The script mentions pressing this button after setting up the equation and window size to visualize the graph of the equation entered.

💡Trace Features

Trace features allow users to explore specific points on a graph. The video script describes using the trace button to move a cursor on the graph and find exact coordinates of points, such as evaluating the graph at X equals -2 to find the corresponding Y value.

💡X and Y Scale

The X and Y scale settings determine the granularity of the graph's axes. In the script, it is mentioned that the scale is set to 1, meaning each tick mark represents a unit change in the respective direction, which helps in accurately representing the graph.

💡Clear Button

The 'Clear Button' is used to remove or edit equations on the calculator. The script explains that pressing the clear button will erase the currently selected equation, allowing users to focus on or remove specific graphs as needed.

💡Numerical Buttons

Numerical buttons on the calculator are used for inputting specific values. The video script illustrates using these buttons to precisely place the trace cursor at a desired X value, such as typing in '1' to evaluate the graph at X equals one.

Introduction to using TI-83 or 84 calculators for basic graphing.

How to enter equations on the 'y=' screen.

Entering the equation 'x^3 - 2x' using the calculator's input.

Explanation of variable input using the 'x', 'T', 'θ', and '^' buttons.

Storing the entered equation in the calculator.

Adjusting window size for better graph visualization.

Setting X and Y min/max values for graph window.

Explanation of X scale and Y scale settings.

Activating the graph feature to visualize the equation.

Graphing the equation 'y = x^3 - 2x'.

Adding a second equation '√(x - 20)' to the graph.

Adjusting the window for the second equation to be visible.

Graphing both equations on the same screen.

Removing or turning off equations from the graph.

Using the trace feature to evaluate specific points on the graph.

Navigating to specific x-values for precise evaluation.

Final thoughts on getting started with graphing calculator features.

Invitation to visit mysecretmathtutor.com for more videos.

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