TI-84 Quick Reference
The ultimate cheat sheet for your TI-84 calculator. Essential functions, shortcuts, and commands organized for quick lookup. Perfect for exams, homework, and everyday use.
β‘ Essential Keyboard Shortcuts
Master these essential keyboard shortcuts to use your TI-84 calculator efficiently. These key combinations will save you time and make navigation much faster.
Navigation Shortcuts
Action | Shortcut | Description | Use Case |
---|---|---|---|
Home Screen | 2ND + MODE | Return to main screen | Exit any menu or app |
Clear Screen | CLEAR | Clear current entry | Start fresh calculation |
Delete Character | DEL | Delete character before cursor | Fix typing mistakes |
Insert Mode | 2ND + DEL | Toggle insert/overwrite | Edit existing expressions |
Previous Entry | 2ND + ENTER | Recall last calculation | Repeat or modify calculations |
Answer Variable | 2ND + (-) | Insert last answer (Ans) | Use previous result |
Math Function Shortcuts
Function | Shortcut | Symbol/Result | Example |
---|---|---|---|
Square Root | 2ND + xΒ² | β( | β(16) = 4 |
Squared | xΒ² | Β² | 5Β² = 25 |
Power | ^ | ^ | 2^3 = 8 |
Pi | 2ND + ^ | Ο | Ο β 3.14159 |
Natural Log | LN | ln( | ln(e) = 1 |
Log Base 10 | LOG | log( | log(100) = 2 |
e^x | 2ND + LN | e^( | e^1 β 2.718 |
10^x | 2ND + LOG | 10^( | 10^2 = 100 |
Trigonometry Shortcuts
Function | Key | Inverse (2ND + Key) | Notes |
---|---|---|---|
Sine | SIN | sinβ»ΒΉ( or arcsin( | Angle mode matters |
Cosine | COS | cosβ»ΒΉ( or arccos( | Angle mode matters |
Tangent | TAN | tanβ»ΒΉ( or arctan( | Angle mode matters |
Angle Mode Tip
Remember to check your angle mode! Press MODE to switch between Degree and Radian modes. Most high school problems use degrees, while calculus typically uses radians.
Advanced Shortcuts
Action | Shortcut | Function | When to Use |
---|---|---|---|
Absolute Value | MATH β NUM β 1 | abs( | Distance, magnitude |
Factorial | MATH β PRB β 4 | ! | Combinations, permutations |
Random Integer | MATH β PRB β 5 | randInt( | Simulations, games |
nPr (Permutations) | MATH β PRB β 2 | nPr | Ordered arrangements |
nCr (Combinations) | MATH β PRB β 3 | nCr | Unordered selections |
Summation | 2ND + STAT β MATH β 5 | sum( | Add list elements |
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π Mathematical Functions
Comprehensive reference of all mathematical functions available on your TI-84 calculator. Organized by category for quick lookup during problem-solving.
Basic Operations
Operation | Symbol | Example | Notes |
---|---|---|---|
Addition | + | 5 + 3 = 8 | Standard arithmetic |
Subtraction | - | 10 - 4 = 6 | Use (-) for negative numbers |
Multiplication | Γ or * | 6 Γ 7 = 42 | Implied multiplication: 2(3+4) |
Division | Γ· or / | 15 Γ· 3 = 5 | Returns decimal unless in FRAC mode |
Exponentiation | ^ | 2^3 = 8 | Order of operations applies |
Parentheses | ( ) | (2+3)Γ4 = 20 | Override order of operations |
Advanced Math Functions
Function | Symbol/Access | Purpose | Example |
---|---|---|---|
Square Root | β( or 2ND + xΒ² | Principal square root | β16 = 4 |
Cube Root | MATH β 4 | Cube root function | β27 = 3 |
nth Root | MATH β 5 | Any root | β΄β16 = 2 |
Absolute Value | MATH β NUM β 1 | Distance from zero | abs(-5) = 5 |
Greatest Integer | MATH β NUM β 5 | Floor function | int(3.7) = 3 |
Fractional Part | MATH β NUM β 4 | Decimal portion | fPart(3.7) = 0.7 |
Round | MATH β NUM β 2 | Round to places | round(3.14159,2) = 3.14 |
Exponential and Logarithmic Functions
Function | Key/Access | Description | Common Use |
---|---|---|---|
e^x | 2ND + LN | Natural exponential | Growth/decay problems |
10^x | 2ND + LOG | Base 10 exponential | Scientific notation |
Natural Log | LN | Log base e | Continuous growth |
Common Log | LOG | Log base 10 | pH, decibels |
Log Base B | MATH β A | Any base logarithm | Computer science |
Trigonometric Functions
Function | Key | Inverse (2ND + Key) | Domain/Range Notes |
---|---|---|---|
Sine | SIN | sinβ»ΒΉ (arcsin) | Output: [-1, 1] |
Cosine | COS | cosβ»ΒΉ (arccos) | Output: [-1, 1] |
Tangent | TAN | tanβ»ΒΉ (arctan) | Undefined at 90Β°, 270Β°, etc. |
Secant | 1/cos(x) | No direct key | Reciprocal of cosine |
Cosecant | 1/sin(x) | No direct key | Reciprocal of sine |
Cotangent | 1/tan(x) | No direct key | Reciprocal of tangent |
Function Input Tips
β’ Always close parentheses: sin(30), not sin30
β’ Use implied multiplication: 2sin(x), not 2*sin(x)
β’ Check angle mode (DEG/RAD) before trig calculations
β’ Use parentheses for complex expressions: sin(2x+1)
Statistical Functions
Function | Access Path | Purpose | Requirements |
---|---|---|---|
Mean | 2ND + STAT β MATH β 3 | Average of list | Data in list (L1, L2, etc.) |
Median | 2ND + STAT β MATH β 4 | Middle value | Sorted data in list |
Standard Deviation | 2ND + STAT β MATH β 7 | Measure of spread | Data in list |
Sum | 2ND + STAT β MATH β 5 | Total of list elements | Numeric list |
Maximum | 2ND + STAT β MATH β 2 | Largest value | Numeric list |
Minimum | 2ND + STAT β MATH β 1 | Smallest value | Numeric list |
πΎ Memory & Variables
Efficient memory management and variable usage are essential for advanced calculator work. Learn how to store, access, and manage data on your TI-84 calculator.
Variable Types and Storage
Variable Type | Examples | Capacity | Access Method |
---|---|---|---|
Real Numbers | A, B, C, ..., Z | 26 variables | Direct typing or VARS menu |
Complex Numbers | A+Bi format | Same as real | Use i (2ND + .) |
Lists | L1, L2, L3, L4, L5, L6 | 999 elements each | 2ND + number or STAT β EDIT |
Matrices | [A], [B], [C], ..., [J] | 99Γ99 maximum | 2ND + xβ»ΒΉ (MATRIX menu) |
Strings | Str0, Str1, ..., Str9 | 255 characters each | VARS β Y-VARS β String |
Functions | Y1, Y2, ..., Y0 | 10 function slots | Y= key or VARS β Y-VARS |
Pictures | Pic1, Pic2, ..., Pic0 | 95Γ63 pixels | 2ND + PRGM β DRAW β STO |
Storage and Recall Commands
Operation | Symbol/Key | Example | Use Case |
---|---|---|---|
Store to Variable | β (STOβ) | 25 β A | Save calculation result |
Recall Variable | Variable name | A + 5 | Use stored value |
Store to List Element | β L1(index) | 100 β L1(1) | Fill specific list position |
Recall List Element | L1(index) | L1(1) + L1(2) | Use specific list value |
Store Entire List | {values} β L1 | {1,2,3,4,5} β L1 | Create list quickly |
Clear Variable | DelVar command | DelVar A | Free up memory |
Memory Management
Task | Menu Path | Purpose | When to Use |
---|---|---|---|
Check Memory | 2ND + + (MEM) β 2 | View available RAM | Before large operations |
Clear All Lists | 2ND + + β 4 β 1 | Delete all list data | Start fresh with data |
Archive Variable | 2ND + + β 5 β Archive | Protect from RAM clear | Save important programs |
Unarchive Variable | 2ND + + β 6 β UnArchive | Move back to RAM for editing | Edit archived items |
Delete Variable | 2ND + + β 2 β Delete | Permanently remove data | Free up space |
Reset Calculator | 2ND + + β 7 β Reset | Factory reset options | Fix major problems |
Quick Variable Access
Variable | Quick Access | Alternative | Notes |
---|---|---|---|
X variable | X,T,ΞΈ,n key | ALPHA + X | Most common variable |
Y variable | ALPHA + Y | VARS β Y-VARS | For coordinate pairs |
List L1 | 2ND + 1 | STAT β EDIT | Primary data list |
List L2 | 2ND + 2 | STAT β EDIT | Secondary data list |
Answer (Ans) | 2ND + (-) | Last calculation result | Automatic storage |
Ο (Pi) | 2ND + ^ | VARS β 5:Ο | Mathematical constant |
Memory Best Practices
β’ Archive programs and data you want to keep permanently
β’ Clear unused lists before entering new data
β’ Use descriptive variable names in programs
β’ Regularly check memory usage with MEM menu
β’ Store important calculations in variables for reuse
β’ Use Ans for quick calculations without variables
Advanced Memory Techniques
Technique | Method | Benefit | Example |
---|---|---|---|
Chain Calculations | Use Ans automatically | No variable needed | 5+3 [ENTER] β AnsΓ2 |
Multiple Assignments | Store to multiple vars | Save related values | 25βA:AΒ²βB |
List Operations | Operate on entire lists | Batch processing | L1+5βL2 (adds 5 to all) |
String Storage | Store text in strings | Program messages | "Hello World"βStr1 |
Picture Storage | Save graph screenshots | Compare graphs | StorePic 1 (saves to Pic1) |
Memory Warnings
β’ RAM clears when batteries die - archive important data!
β’ Archive memory survives battery removal
β’ Don't archive data you need to edit frequently
β’ Large lists and matrices consume lots of memory
β’ Some operations require variables to be in RAM
π Quick Reference Cards
Printable quick reference cards for the most commonly used functions. Perfect for keeping next to your calculator during exams or homework.
Essential Keys Card
TI-84 ESSENTIAL KEYS
2ND + MODE = Home
CLEAR = Clear entry
DEL = Delete character
2ND + ENTER = Last entry
MATH:
xΒ² = Square
2ND + xΒ² = Square root
^ = Power
2ND + ^ = Ο (pi)
2ND + (-) = Ans
SIN, COS, TAN
2ND + SIN = sinβ»ΒΉ
LN = Natural log
LOG = Common log
2ND + LN = e^x
STORAGE:
STOβ = Store to variable
ALPHA + letter = Variable
2ND + number = List
Menu Quick Access Card
MENU SHORTCUTS
NUM β abs, round, int
PRB β !, nPr, nCr, rand
FRAC β βΊFrac, βΊDec
STAT MENU:
EDIT β Edit lists
CALC β 1-Var Stats
CALC β LinReg(ax+b)
TESTS β Hypothesis tests
Y-VARS β Function variables
Window β Graph settings
Zoom β Graph variables
GRAPH MENUS:
Y= β Enter functions
WINDOW β Set viewing area
ZOOM β Quick zoom options
TRACE β Explore graphs
Common Calculations Card
COMMON CALCULATIONS
Quadratic Formula:
(-BΒ±β(BΒ²-4AC))/(2A)
GEOMETRY:
Circle Area: ΟrΒ²
Sphere Volume: (4/3)ΟrΒ³
Distance: β((xβ-xβ)Β²+(yβ-yβ)Β²)
Check MODE: Degree/Radian
Pythagorean: aΒ²+bΒ²=cΒ²
Law of Cosines: cΒ²=aΒ²+bΒ²-2ab cos(C)
STATISTICS:
Mean: sum(L1)/length(L1)
Standard Dev: StdDev(L1)
Correlation: LinReg(ax+b) L1,L2
Error Messages & Solutions
Error Message | Common Cause | Solution | Prevention |
---|---|---|---|
ERR:SYNTAX | Mistyped expression | Check parentheses, operators | Double-check before ENTER |
ERR:DOMAIN | Invalid input for function | Check function domain | Verify input ranges |
ERR:DIVIDE BY 0 | Division by zero | Check denominator | Test edge cases |
ERR:MEMORY | Insufficient RAM | Clear variables, archive data | Regular memory management |
ERR:INVALID DIM | List/matrix size mismatch | Check dimensions | Verify data structure sizes |
ERR:WINDOW RANGE | Invalid graph window | Reset window settings | Use ZOOM β ZStandard |
Master Your TI-84 Calculator
Put these quick reference shortcuts to use with our free TI-84 calculator emulator. Practice essential functions and build your calculator skills with confidence.
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