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TI-84 learning path

Learn the TI-84 by doing real tasks.

You do not need to memorize the whole keyboard. Start with the task in front of you, follow the key sequence, then understand the setting or mathematical idea that makes the result reliable.

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8 focused lessonsfrom basics to errorsExact sequencesfor common workflowsWorked exampleswith expected results

Keep the calculator open in another tab or beside this guide. The goal is not to copy button sequences blindly; it is to know what each sequence is doing so you can recognize when the setup is wrong.

1. Calculator basics: main keys, 2nd and ALPHA

The printed label on a key is its main action. 2nd opens the colored secondary function printed above many keys, while ALPHA enters letters. ENTER evaluates an expression or confirms a menu choice. Use the arrow keys to move through a line before deleting or editing it.

2ndALPHADELCLEARENTER
Worked example: 78 + 15
  1. Enter 78 + 15.
  2. Press ENTER.
  3. Expected result: 93.
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Watch each key press and the final result.

Negative-number trap: subtraction and the negative-number key are not the same thing. When entering −3 as a number, use the calculator's negative key rather than treating it as a subtraction operation.

2. Graph a function

Use Y= to enter functions. For x, use the variable key labeled X,T,θ,n. Press GRAPH to draw the enabled functions.

Y=X,T,θ,nx²GRAPH
Worked example: y = x² − 4
  1. Press Y=.
  2. Enter X² − 4 in Y₁.
  3. Press GRAPH.
  4. You should see an upward-opening parabola crossing the x-axis near −2 and 2.
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Graph the function and see the parabola appear.

If nothing useful appears, the problem may be the viewing window rather than the equation. Try a standard window before re-entering the function.

3. Window, TRACE and table

WINDOW controls the visible coordinate range. TRACE moves a cursor along a graph, while the table connects x-values with function outputs. These tools are especially useful when you need to read a point rather than only see the graph's shape.

WINDOWZOOMTRACE2ndGRAPH
Worked example: y = 2x + 1 at x = 3
  1. Graph Y₁ = 2X + 1.
  2. Use TRACE or the table to move to x = 3.
  3. Expected output: y = 7.
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TRACE and TABLE help you read a specific output.

4. Fractions, decimals, powers and roots

Fractions can be entered with division or, where available, a fraction template. Powers use ^; squaring uses x²; square roots use the secondary function above x². Parentheses are essential when a power applies to an entire negative value or expression.

÷^x²2nd
Worked example: √144
  1. Open the square-root function with 2nd and x².
  2. Enter 144.
  3. Close the expression if needed and press ENTER.
  4. Expected result: 12.
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Use 2nd and x² to open the square-root function.

5. Statistics and lists

Use the list editor to enter data, then run a calculation from the STAT menu. Always confirm which list contains the data before reading the result.

STATEDITCALC1-Var Stats
Worked example: mean of 4, 6, 6, 8, 11
  1. Press STAT and choose Edit.
  2. Enter the five values in L1.
  3. Return to STAT → CALC → 1-Var Stats.
  4. Read x̄. Expected result: 7.
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Enter the list, run 1-Var Stats and read x̄.

INVALID DIM? A statistical plot may be using lists with different lengths. Check the active plot and list assignments before assuming the data itself is wrong.

6. Matrices

Create a matrix, choose its dimensions, enter the values, then return to the home screen for operations. Matrix arithmetic is sensitive to dimensions, so inspect the shape before calculating.

2ndx⁻¹EDIT[A]
Worked example: det([[2,1],[3,4]])
  1. Create [A] as a 2 × 2 matrix with entries 2, 1, 3, 4.
  2. Use the determinant command and insert [A].
  3. Expected result: 5.
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Create the matrix, then apply the determinant command.

For addition, matrix dimensions must match. For multiplication, the inner dimensions must match.

7. Trigonometry and angle mode

Before sine, cosine or tangent, check whether the problem is written in degrees or radians. A correct key sequence in the wrong angle mode still gives the wrong mathematical answer.

MODESINCOSTAN
Worked example: sin(30°)
  1. Open MODE and select Degree.
  2. Enter sin(30).
  3. Expected result: 0.5.
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Always check Degree or Radian mode before trig.

8. Fix common errors systematically

Do not start by pressing CLEAR repeatedly. Read the message, identify the type of problem, then check the setting or expression most likely to cause it.

Worked example: a blank graph after entering Y₁ = X² − 4
  1. Open ZOOM.
  2. Choose 6:ZStandard.
  3. Press ENTER if needed to confirm.
  4. The graph should reappear in a standard window.
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Blank graphs often come from the window, not the equation.
SYNTAXCheck the expressionLook for missing parentheses, misplaced operators or an incomplete command.
DOMAINCheck whether the input is allowedFor example, a real square root cannot take a negative input.
DIMCheck list or matrix dimensionsLists and matrices must have compatible sizes for the requested operation.
WINCheck the graph windowA correct function can be invisible if the window is far from the relevant values.
MODECheck Degree or RadianAngle mode is a common reason a trigonometric result looks unfamiliar.
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Practice uses the same tasks with answer checking, hints and worked solutions.
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