CAMT 2017 Session 2171 TI-‐NspireTM CX Technology—Activities for Beginners
Valerie Hudson Vhudsonmath.weebly.com
Texas Instruments Instructor
[email protected]
Graphing a Quadratic Function and Finding Points of Interest
1. Open a new TI-‐Nspire CX document and choose “Graphs”. 2. Place a grid on the screen, if desired. Ex: Press “Menu” “View” “Grid” “Lined Grid” (See Figure 1) 3. Press “Tab” if the function line is not showing, then type your equation in f1(x) and press “Enter”. (See Figure 2) Press “Ctrl” “T” to see the Figure 1 corresponding table, if desired. ! (The equation shown is 𝑓 𝑥 = 𝑥 ! + 4𝑥 − 2)
Figure 2
!
4. Change viewing window: If you cannot see all points of interest, change the viewing window: • Method A: Press “Menu” “Window/Zoom” and choose the method that you prefer. (See Figure 3) • Method B: Double Click on the end value of an axis until it turns blue, type a value of your choosing, and press “Enter”. (See Figure 4) Figure 3 Brush your finger across the TouchPad to move the cursor and press “Click” outside of the textbox to set the new axis end value. • Method C: Move your cursor to an axis until you see “axes”. (Depending on where your cursor is located, if you see “graph f1” press “Tab” until you see “axes”.) Press and hold “Click” until you see a grab hand. Brush your finger across the TouchPad to change the viewing window. (See Figure 5)
Figure 5
• Method D: Grab the screen: Move your cursor to any empty space NOT including the graphed equation or an axis. Press and hold “Click” until you see a grab hand. Brush your finger across the TouchPad to change the viewing window. (See Figure 6) Press “Click” to let go of the grab hand.
Figure 4
Figure 6
5. Find the y-‐intercept: Press “Menu” “Trace” “Graph Trace”. Use the left or right arrow buttons on the TouchPad to move the cursor to the y-‐intercept, and the term will be indicated on the screen. (See Figure 7) Press “ESC” to remove the trace icon in the upper left corner.
Figure 7
6.
Find the zeroes: • Method A: Using the graph trace option, press the left/right arrows to move the cursor until you reach the location of an x-‐ intercept. If the term “zero” is not shown on the screen and the cursor is in the location of the zero, press the “up” arrow button to force the calculator to provide the coordinates for the x-‐intercept. Press “Click” to set the coordinates on the screen. (See Figure 8) Repeat as necessary to find other zero. Press “ESC” to remove the trace icon in the upper left corner. • Method B: Using the “Menu” button, choose “Analyze Graph” then “Zero”. (See Figure 9) Brush your finger on the TouchPad to move the cursor to the left side of the desired x-‐intercept, then press “Click” or “Enter” for the lower bound. (See Figure 10) Brush your finger on the TouchPad again to move the cursor to the right side of the same x-‐intercept, then press “Click” or “Enter” for the upper bound. (See Figure 11) The coordinates will be shown on the screen. (See Figure 12) Repeat as necessary to find other zero.
Figure 9
Figure 8
Figure 10
Figure 11
Figure 12
7.
Find the minimum (or maximum) • Method A: Using the graph trace option, press the left/right arrows to move the cursor until you reach the location of the minimum (or maximum). If the term “minimum” (or “maximum”) is not shown on the screen and the cursor is in the location of the attribute, press the “up” arrow button to force the calculator to provide the coordinates. Press “Click” Figure 12 to set the coordinates on the screen. (See Figure 13) Repeat as necessary to find other zero. Press “ESC” to remove the trace icon in the upper left corner.
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Method B: Using the “Menu” button, choose “Analyze Graph” then “minimum” (or “maximum”). (See Figure 14) Brush your finger on the TouchPad to move the cursor to the left side of the “minimum” (or “maximum”), then press “Click” or “Enter” for the lower bound. (See Figure 15) Brush your finger on the TouchPad again to move the cursor to the right side of the “minimum” (or “maximum”) then press “Click” or “Enter” for the upper bound. (See Figure 16) The coordinates will be shown on the screen. (See Figure 17)
Figure 14
Figure 15
Figure 16
Figure 17
Entering Equations: Relation Open a new TI-‐Nspire CX document and choose “Graphs”. 2. Place a grid on the screen, if desired. Ex: Press “Menu” “View” “Grid” “Lined Grid” (See Figure 1) 3. Press “Tab” if the function line is not showing, then delete the “=” sign, and choose “Relation”. Type your equation (type the “=” sign in the equation) and press “Enter”. (See Figure 2) 4. Change the viewing window if needed as explained on page 1 of this document.
1.
Figure 1
Figure 2
5. Translate or rotate the graph, if desired, by pressing and holding the “Click” button while hovering over the graphed figure. Next, slide your finger over the TouchPad in order to move the figure. (Translating and Rotating can also be accomplished with equations typed in function lines.) 6. The table feature is not available with “Relation” as non-‐functions can also be graphed here, but points can be placed on the graph using “Menu” “Trace” or “Menu” “Geometry” “Points & Lines” “Point On”. (See Figure 3). Press “Click” on the graph of the figure to anchor a point on the graph. (See Figure 4) Press “ESC” to remove the “Point On” Icon in the upper left hand corner. To change coordinates, double-‐click on one of the coordinates and enter a new value that is included in the current viewing window. Then press “Enter”. The point will jump to your chosen location on the graph. (See Figure 5)
Figure 3
Figure 5
Figure 4
Entering Equations: General Equations with Sliders 1. Open a new TI-‐Nspire CX document and choose “Graphs”. 2. Place a grid on the screen, if desired. Ex: Press “Menu” “View” “Grid” “Lined Grid” 3. Press “Tab” if the function line is not showing, then enter the general equation of your choice. Be sure to use the appropriate operators— including multiplication! You will then be asked to create sliders. (See Figure A) 4. Press “Enter” to see the equation and corresponding sliders. (See Figure B) Press “Click” outside of the blue highlighted area in order to access the sliders.
Figure A
Figure B
5. Move your cursor to one of the slider buttons. Press and hold “Click” then brush your finger across the TouchPad to change the slider value and adjust the graphed equation accordingly. (See Figure C) Press “Click” to let go of the grab hand. 6. To change a slider’s shape, orientation and/or max/min values, hover the cursor over one of the sliders and press “Ctrl” then “Menu” to access “Settings”. Then make any changes that you like. The “k” slider is changed in the example. (See Figure D)
Figure C
Figure D
