Math

INDEX
(Not linked)


SCROLL DOWN FOR RHYMING STUDY AIDS

3, 2, 1 Trig Triangle
Circles
Differentiation Rules
Metric Liquid Measure
Metric Prefixes
Normal Distribution and Standard Deviation
Pythagoras Theorem
Quadratic Equations
Roots of 2 and 3
Triangles
Trig Triangles


Attributions at the end of this page.






3, 2, 1 Trig Triangle


Triangle 2 units per side
Bisect (through the middle divide),
Two right angled triangles see,
Each with sides 2, 1 and root 3.

 Thirty sixty triangle fun;
Tan sixty is root 3 over 1,
Sine sixty is root 3 over 2,
Cosine sixty is 1 over 2.

                                                                           By Alan Beech





Circles
               
                
        By Jleedev 



How to cut a pie through the middle?
D the Diameter solves the riddle.

D times pi is the circular distance
Round a pie called its circumference.
                                                                                    By Alan Beech


                                                              Public domain

To find the area of a pie.
r squared and pi you multiply.
                                                                                        By Alan Beech




                                      By Stannered 


One radius round the edge
Of a piece of pecan pie
Will separate out a wedge
One radian angle by.
This fact will make you cry,
Pi radians halve the pie.
                                                                              By Alan Beech


Differentiation Rule

Number (x to the power n) driv*.
(nx power n minus one) give
So driv of (x to power 4) see
As (4x to the power of three).

*driv means the differential calculus derivative
                                                                                      By Alan Beech




Metric Liquid Measure
Milliliter is abbreviated to mL and sounded like "mill".

A cubic centimeter
Sounded like “ceecee*”
Equals a milliliter
“mL” in laboratory**.
                                                                 By Alan Beech

Written "cc".

** Pronounced "labro-tree".






Metric Prefixes

Giga is 109, nano is 10-9, mega is 106, micro is 10-6,
kilo is 103, milli is 10-3, hecto is 102 and centi is 10-2.


Nano, micro and milli
Tiny metric powers, they be
Ten to minus nine, six, three.

Giga, mega and kilo
Mighty metric powers, though
Ten to plus nine, six, three go.
                                                                                  By Alan Beech



Normal Distribution and Standard Deviation
(Sigma σ or sd)
                                                                                   
                                                                                     By Mwtoews

When a class of students takes a test
Each person's score shows who does the best.
Add the numbers n in equal score steps or percent,
Graph the values of n against scores they represent
A bell shaped graph solution
Shows normal distribution.

Find the average A for all x values of n,
Now subtract A from each value of n,
Square the answers of each minus sum,
Add the squares together (this seems dumb).
The sum of squares, by x now divide,
It’s square root the SD will provide.

  Big deviation graphs are wide and squat
Smaller sd graphs have a tall thinner plot
Sixty eight percent of answers are seen
Within one deviation each side of the mean.
Inside two sd's about ninety five percent
Only five in a hundred outside this event.


                                                                                      By Alan Beech






Pythagoras’ Theorem

                                                             By Florin De Gelder

A square on the hypotenuse is equal in area to the sum of the squares on the other two sides.

Pythagoras said that a square
On a hypotenuse anywhere
Of a right angled triangle coincides
With the sum of squares on the other two sides.
                                                                                                    By Alan Beech





Quadratic Equations

When ax2 + bx + c = 0 then x = [-b +/-√(b2 - 4ac)]/2a.


In quadratic equations x compute:
It's minus b minus or plus square root,
When b squared minus four ac
Inside the square root sign we see.
All the numerator underlay
By dividing it through by 2a.
                                                                              By Alan Beech





Roots of 2 and 3

The square of 2 is 4, for sure.
It's root is 1.414.
The square of 3 is 9, that's true.
It's root is 1.732.
                                                                  By Alan Beech




Triangles

                                                              Public domain
Equal sides and angles the same,
Equilateral is its name.
                                                                                  By Alan Beech
                       
                       
                                                         Public domain
Two sides of equal length one sees
On triangles isosceles.
                                                                                  By Alan Beech

                                                          Public domain
Three unequal sides are seen
On triangles we call scalene.
                                                                                                    By Alan Beech

                                                  Public domain
Right angled triangles, if you please,
Have one angle of ninety degrees.
                                                                                           By Alan Beech




Trig Triangles



A
Triangle
Equilateral
Two per side
Into two divide.
II
Right triangles we see
With sides 2,  1,  root 3,
Angles 30, 60, 90 degree.
II
From 1, 1, root 2 derive
Right triangle degrees 45.

                                                               By Alan Beech








ATTRIBUTION OF IMAGES

Circle (Diameter).
A vector graphic version of Image: Circle lines.png, originally made by User: Jleedev on March 20, 2005 using Inkscape. The original was released under the GNU Free Documentation License.

 Circle (Area).
Public domain

Circle (Radian).
By User:Stannered. Original image by en:User:Ixphin (en:Radian croped color.png (now deleted)) [GFDL (http://www.gnu.org/copyleft/fdl.html), CC-BY-SA-3.0 (http://creativecommons.org/licenses/by-sa/3.0/) or CC-BY-2.5

Normal Distribution and Standard Distribution
"Standard deviation diagram" by Mwtoews - Own work, based (in concept) on figure by Jeremy Kemp, on 2005-02-09. Licensed under Creative Commons Attribution 2.5 via Wikimedia Commons

Pythagoras Theorem.
Florin De Gelder [GFDL (http://www.gnu.org/copyleft/fdl.html) or CC-BY-SA-3.0-2.5-2.0-1.0 (http://creativecommons.org/licenses/by-sa/3.0)], via Wikimedia Commons

Triangle Equilateral,
Public domain.

 Triangle Isosceles,
Public domain

Triangle Scalene,
Public domain


Triangle (Right angled).
"Rtriangle". Licensed under Creative Commons Attribution-Share Alike 3.0 via Wikimedia Commons


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