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 Basic Math Concepts K12
Basic Math Concepts K12
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Calculator / Last modified by mike on 2015/07/29 06:40
Comes After
by
MichaelBartmess, last modified
`"Next number ?" = `
`"Next is " "your number" + 1`
Results

Comes Before
by
MichaelBartmess, last modified
`"Next number ?" = `
`"Next comes " "your number"  1`
Results

Odd or Even?
by
MichaelBartmess, last modified
`"Your Number" = `
`"Odd or Even?"`
Results

Count by Tens
by
MichaelBartmess, last modified
`"Next number ?" = `
`"Next is " "your number" + 10`
Results

How Many Balloons?
by
MichaelBartmess, last modified
`"Tom has in all" = `
`"5 Blue Balloons" + "How Many" " Red Balloons"`
Results

How Many Added?
by
MichaelBartmess, last modified
`"Pete gave" = `
` "Pencils In Box"  "Jim Had" `
Results

Array Count
by
MichaelBartmess, last modified
`"Total Objects in Array" = `
` "Rows" " X " "Columns" `
Results

Conversion between place values
by
MichaelBartmess, last modified
`"result" = `
`"multiple of tens * place value to convert"`
Results

Greatest Common Divisor
by
MichaelBartmess, last modified
`"GCD" = `
`"Euclid's Algorithm"( "a" , "b" )`
Results

Least Common Multiple
by
MichaelBartmess, last modified
`"LCM" = `
`"Euclid's Algorithm"[ "a" , "b" ]`
Results

Square Numbers
by
MichaelBartmess, last modified
`"squared" = `
`( "Your Number" ) * ( "Your Number" )`
Results

Greatest Common Divisor
by
MichaelBartmess, last modified
`"GCD" = `
`"Euclid's Algorithm"( "a" , "b" )`
Results

Least Common Multiple
by
MichaelBartmess, last modified
`"LCM" = `
`"Euclid's Algorithm"[ "a" , "b" ]`
Results

Integer X Pwr of 10
by
MichaelBartmess, last modified
`"Result" = `
` "Whole Number" " X " 10^ "Power" `
Results

Integer `divide` Pwr of 10
by
MichaelBartmess, last modified
`"Result" = `
` "Whole Number" divide 10^ "Power" `
Results

Decimal X Pwr of 10
by
MichaelBartmess, last modified
`"Result" = `
` "Decimal" " X " 10^ "Power" `
Results

Decimal `divide` Pwr of 10
by
MichaelBartmess, last modified
`"Result" = `
` "Decimal" divide 10^ "Power" `
Results

Absolute Value of Real Number
by
MichaelBartmess, last modified
`"Absolute Value" = `
` "number" `
Results

Additive Inverse
by
MichaelBartmess, last modified
`"Additive Inverse" = `
` "num" `
Results

Adjacent Angle
by
MichaelBartmess, last modified
`angle"CBD" = `
`180^@  angle "ABD" `
Results

Arithmetic Mean
by
MichaelBartmess, last modified
`barX = `
`1/n * (x_1 + x_2 + Â… + x_n)`
Results

10 to the x
by
MichaelBartmess, last modified
`10^x = `
`10^ "x" `
Results

`e^X`
by
MichaelBartmess, last modified
`y = `
`e^ "X" `
Results

Cosine (cos(`angle`)
by
MichaelBartmess, last modified
`y = `
`cos( theta )`
Results

`pi`
by
MichaelBartmess, last modified
`"Pi" = `
`pi`
Results

Sine [degree or radian]
by
MichaelBartmess, last modified
`x = `
`sin( theta )`
Results

2nd Degree Polynomial
by
MichaelBartmess, last modified
`y = `
` "a" * "x" ^2+ "b" * "x" + "c" `
Results

3rd Degree Polynomial
by
MichaelBartmess, last modified
`y = `
` "a" * "x" ^3+ "b" * "x" ^2+ "c" * "x" + "d" `
Results

4th Degree Polynomial
by
MichaelBartmess, last modified
`y = `
` "a" * "x" ^4+ "b" * "x" ^3+ "c" * "x" ^2+ "d" * "x" + "e" `
Results

Quadratic Formula (plus)
by
MichaelBartmess, last modified
`( "b" + sqrt( "b" ^2 4* "a" * "c" ))/(2* "a" )`
Results

Quadratic Formula (minus)
by
MichaelBartmess, last modified
`solution  sqrt() = `
`( "b"  sqrt( "b" ^2 4* "a" * "c" ))/(2* "a" )`
Results

nth root
by
MichaelBartmess, last modified
`n^"th""root of x" = `
`root( n )( x ) `
Results

_e_
by
MichaelBartmess, last modified
`e = `
`lim_n(1+1/n)^n`
Results

Gelfond's constant
by
MichaelBartmess, last modified
`e^pi = `
`23.14069263277926900572908636794854738`
Results

Liouville's
by
MichaelBartmess, last modified
`sum_(n=1)^infty(10^(n!)) = `
`0.110001000000000000000001000...`
Results

Pythagoras Constant
by
MichaelBartmess, last modified
`sqrt(2) = `
`1.41421356237309504880168872420969807`
Results

Avogadro's number
by
MichaelBartmess, last modified
`6.02214129 * 10^23`
Results

c (speed of light) with units m/s
by
MichaelBartmess, last modified
`c = `
`299792458 m/s`
Results

g (acceleration due to gravity at sea level  English)
by
MichaelBartmess, last modified
`32.1740 ft/s^2`
Results

nth root
by
MichaelBartmess, last modified
`n^"th""root of x" = `
`root( n )( x ) `
Results

Angle From Law of Sines
by
MichaelBartmess, last modified
`A = `
`arcsin(("sine"( "B" ) * "a" ) / "b" )`
Results

5th Degree Polynomial
by
MichaelBartmess, last modified
`y = `
` "a" * "x" ^5+ "b" * "x" ^4+ "c" * "x" ^3+ "d" * "x" ^2+ "e" * "x" + "f" `
Results

`e^X`
by
MichaelBartmess, last modified
`y = `
`e^ "X" `
Results

Arcsine
by
MichaelBartmess, last modified
`theta = `
`sin^1( x )`
Results

Circular rPermutation of n elements
by
MichaelBartmess, last modified
`P_c(n,r) = `
`( "n" !) / ( "r" ( "n"  "r" )!)`
Results

Combinations C(n,k)
by
MichaelBartmess, last modified
`{::}_n"C"_k = `
`( n ! ) / ( k !( n  k )! ) `
Results

factorial
by
MichaelBartmess, last modified
`(n)! = `
`prod_{:k=1:}^{ n :}k`
Results

Log_10
by
MichaelBartmess, last modified
`Log_10(x) = `
`log_10( "x" )`
Results

Natural Log
by
MichaelBartmess, last modified
`ln = `
`log_e( "x" )`
Results

Random Real [Lower, Upper]
by
MichaelBartmess, last modified
`"random number" = `
`[ "Lower Bound" , "Upper Bound" ]`
Results

`K` & `1^(st)`
Comes After 
Comes Before 
Odd or Even? 
Count by Tens 
How Many Balloons? 
`2^(nd)` & `3^(rd)`
How Many Added? 
Array Count 
`4^(th)`
Conversion between place values 
`"GCD"` 
`"LCM"` 
Square Numbers 
`5^(th)`
`"GCD"` 
`"LCM"` 
Integer X Pwr of 10 
Integer `divide` Pwr of 10 
Decimal X Pwr of 10 
Decimal `divide` Pwr of 10 
Absolute Value 
`6^(th)`
Additive Inverse 
Adjacent Angle 
`7^(th)` & `8^(th)`
Mean  `10^x`  `e^X` 
Cosine (cos(`angle`)  `pi`  Sine 
2nd Deg Poly  3rd Deg Poly  4th Deg Poly 
Quadratic +  Quadratic   `n^"th""root of x"` 
`9^(th)` & `10^(th)`
`e`  Gelfond's  Liouville's 
Pythagoras  Avogadro's  speed of light 
accel gravity  `n^"th""root of x"`  Law of Sines 
`11^(th)` & `12^(th)`
5th Deg Poly  `e^X`  Arcsine 
`P_c(n,r)`  `{::}_n"C"_k`  `(n)! ` 
`Log_10(x)`  `ln`  Random # 
Basic concepts illustrated in equation form for grades K12.
This calculator provides a sampling of math topics across learning stages in K12. There is a lot of overlap between when these topics are first encountered across the grade levels and there are many subjects not touched on here. This is to provide a simple sampling of math encountered by students along this path.
This calculator, Basic Math Concepts K12, references 46 equations/constants.
Equations and Constants
 2nd Degree Polynomial by vCalc
 3rd Degree Polynomial by vCalc
 4th Degree Polynomial by vCalc
 5th Degree Polynomial by vCalc
 `e^X` by vCalc
 `pi` by vCalc
 Angle From Law of Sines by vCalc
 Arcsine by vCalc
 Avogadro's number by vCalc
 c (speed of light) with units m/s by vCalc
 Combinations C(n,k) by vCalc
 Cosine (cos(`angle`) by vCalc
 factorial by vCalc
 Gelfond's constant by vCalc
 Greatest Common Divisor by vCalc
 Least Common Multiple by vCalc
 Log_10 by vCalc
 nth root by vCalc
 Pythagoras Constant by vCalc
 Sine [degree or radian] by vCalc
 10 to the x by DavidC
 _e_ by Descartes
 Absolute Value of Real Number by MichaelBartmess
 Additive Inverse by MichaelBartmess
 Adjacent Angle by MichaelBartmess
 Arithmetic Mean by MichaelBartmess
 Array Count by MichaelBartmess
 Circular rPermutation of n elements by GerryPerham
 Comes After by MichaelBartmess
 Comes Before by MichaelBartmess
 Conversion between place values by MichaelBartmess
 Count by Tens by MichaelBartmess
 Decimal `divide` Pwr of 10 by MichaelBartmess
 Decimal X Pwr of 10 by MichaelBartmess
 g (acceleration due to gravity at sea level  English) by KurtHeckman
 How Many Added? by MichaelBartmess
 How Many Balloons? by MichaelBartmess
 Integer `divide` Pwr of 10 by MichaelBartmess
 Integer X Pwr of 10 by MichaelBartmess
 Liouville's by MichaelBartmess
 Natural Log by MichaelBartmess
 Odd or Even? by MichaelBartmess
 Quadratic Formula (minus) by KurtHeckman
 Quadratic Formula (plus) by KurtHeckman
 Random Real [Lower, Upper] by MichaelBartmess
 Square Numbers by MichaelBartmess
 more...