Tinkerball Game & Simple Machines Interactives

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Tinker Ball Simple Machine Interactive Game

The Tinker Ball game is one of a growing number of simple machine interactives to help kids understand how simple machines work and how they're used in inventions.  Tinker Ball is an invention at play from the Lemelson Center for the Study of Invention and Innovation, through the Smithsonian Museum of Natural History. 

The object of the Tinkerball game is get the tennis ball at the top of the screen into the small container at the bottom of the screen.  It provides everyday objects, like funnels, a hockey stick, rulers, gears, and springs.  Kids drag and drop the objects at the right onto the screen to guide the ball in the direction they want it to go.  They can rotate the objects to fit their "inventions."

If  the ball doesn't make it into the container when you release it, you can adjust your invention until you get it right.  Once you've succeeded, the playing screen is wiped clean and you can play Tinker Ball again.

There are lots of simple machine and even physics principles that can be learned with this game.  What type of simple machine is each object?  Can you predict the trajectory of the tennis ball when it bounces off a certain object?  Or how high it will bounce when it hit objects from a certain distance? Can you provide more than one path for the ball to take to reach the container?  Can you use all of the pieces?  Can you create your own Tinker Ball invention in your classroom from objects in the room?

Tinkerball is one of a few simple machine interactive games I've written about in previous posts. Try out the Simple Machines Game.  Or play with Edheads Simple Machines and Compound Machine, both listed in LearningReviews.com websites with Forces & Motions interactives and lessons.

Science Music Projects for PBL

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Music and the Brain Podcasts

A series of Music and the Brain podcasts from the Library of Congress can be an inspiration for science music PBL - project-based learning - lessons.  These podcasts focus on the study of neuroscience and music, specifically how music can alleviate depression and grief, improve memory retention, treat illness, and even prevent crime.

The podcasts brought me back to my first teaching experience.  I first started teaching as a substitute at two neighboring elementary schools in a high-poverty area.  The schools were less than a mile apart and had the same demographic population.  But they had markedly different cultures.

Each morning at one school, students were corralled by teachers into the building and told to move quickly and quietly to their classrooms.  Infractions (and there were many) earned quick reprimands.

The other school started each morning with classical music playing outside the building and in the hallways and classrooms.  I relaxed and I could see the kids visibly relax as they entered the school.  There were no discipline problems in the hallways.

So I see how this emerging area of research in neuroscience and music lends itself to a variety of projects for students that could directly impact them in school.  Students could answer questions such as:

• Can music in the hallways decrease problems that occur there?  What kind of music?  
• Can music help in the cafeteria as well?
• Can music help improve the test scores of students who listen to it while studying?  What kind?
• Is it beneficial in study hall? 
• Are musical mnemonics effective in helping us memorize stuff?

The students would begin their research by reading previous studies, learning the significant qualities of music involved in research, talking to experts in the field, then constructing their own experiments.  The end product could be a presentation to the school administration, or even school board, of the results of their research, and a recommendation as to whether or not to use music in school, or as a study aid.  

Or students could videotape musical mnemonics for important information and post them to the school website or YouTube.  See my Squidoo post on Memorizing Techniques Using Music for some examples.

For conducting introductory research, try using, Sweet Search, a search engine designed for K-12 students.  For other research sources, look at LearningReviews.com Online References.  For constructing your PBL plan, I (once again) highly recommend West Virginia Dept of Education's PBL Tools, which include an excellent template.


A theme throughout the Music and the Brain  podcasts is how young people who were musicians, later gravitated toward medical careers in college.  They found a way to mesh their love of music with medicine and medical research.  What an inspiration for high school students setting out on a career path.

Fun Math Learning Games

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  Welcome to Fun Math Games For Kids!This site is to talk to you about an amazing product that makes learning math fun.  Math skills are vital to a child’s future after all math helps in school… at work… in social situations… in all areas of life. You simply cannot get along without it. But many kids struggle with math and don't enjoy it at all.  Imagine being able to get kids so engaged with math that they don't even want to stop even when you ask them to.Wouldn't that be great?  Now you can get kids engaged in math and wanting to do more day after day.... The way to do this is by using "Making Math More Fun Printable Math Games"These are electronic books (e-books) that are downloaded to your computer in a flash. Which means you can be reading them and playing all these games in as little as 5 minutes from now. You receive 4 books jam packed full of kids math games and  fun math activities to make math exciting and easy to learn. Most of all discover how to be a wonderful, fun teacher or parent who knows how to make math fun and interesting. You'll never be short of new ideas or new activities again. 

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G.W. Leibniz was Mathematician and Philosopher

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 date of birth :  1 July 1646
date of death : 14 November 1716
his Signature 



Leibniz occupies a prominent place in the history of mathematics and the history of philosophy. Leibniz developed the infinitesimal calculus independently of Isaac Newton, and Leibniz's mathematical notation has been widely used ever since it was published. Leibniz also developed the binary number system, which is at the foundation of virtually all digital computers.Leibniz was one of the most brilliant and prolific intellectuals ever; and his influence in mathematics (especially his co-invention of the infinitesimal calculus) was immense. His childhood IQ has been estimated as second-highest in all of history, behind only Goethe. Descriptions which have been applied to Leibniz include "one of the two greatest universal geniuses" (da Vinci was the other); "the most important logician between Aristotle and Boole;" and the "Father of Applied Science." Leibniz described himself as "the most teachable of mortals."(1716-11-14

Mathematics was just a self-taught sideline for Leibniz, who was a philosopher, lawyer, historian, diplomat and renowned inventor. Because he "wasted his youth" before learning mathematics, he probably ranked behind the Bernoullis as well as Newton in pure mathematical talent, and thus he may be the only mathematician among the Top Ten who was never the greatest living algorist or theorem prover. We won't try to summarize Leibniz' contributions to philosophy and diverse other fields including biology; as just three examples: he predicted the Earth's molten core, introduced the notion of subconscious mind, and built the first calculator that could do multiplication.
In philosophy, Leibniz is mostly noted for his optimism, e.g. his conclusion that our Universe is, in a restricted sense, the best possible one that a God could have created. Leibniz, along with René Descartes and Baruch Spinoza, was one of the three great 17th century advocates of rationalism. The work of Leibniz anticipated modern logic and analytic philosophy, but his philosophy also looks back to the scholastic tradition, in which conclusions are produced by applying reason to first principles or a priori definitions rather than to empirical evidence. Leibniz made major contributions to physics and technology, and anticipated notions that surfaced much later in biology, medicine, geology, probability theory, psychology, linguistics, and information science. He wrote works on politics, law, ethics, theology, history, philosophy, and philology. Leibniz's contributions to this vast array of subjects were scattered in various learned journals, in tens of thousands of letters, and in unpublished manuscripts. As of 2010, there is no complete gathering of the writings of Leibniz.

Leibniz' thoughts on mathematical physics had some influence. He developed laws of motion that gave different insights from those of Newton. His cosmology was opposed to that of Newton but, anticipating theories of Mach and Einstein, is more in accord with modern physics. Mathematical physicists influenced by Leibniz include not only Mach, but perhaps Hamilton and Poincaré themselves.   

formulas for area of triangle

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area =  ah/2


there is big rectangle made up by two smaller rectangles 
the area of the first = hd  and  area of the second = he
the first rectangle is divided by two triangles. area of these triangles = hd/2
the second rectangle is divided by two triangles. area of these triangles = he/2
thanks to "ElliottMK1" for Correction

since the big triangle is made up by two triangles whose areas are hd/2 and he/2 
then area of big triangle = area of the two triangles = hd/2 + he/2 = h/2 [ d + e] = ha/2

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area = (ab/2) sin C
to proof this we know that area = ah/2 also sin c = opposite / hypotenuse = h/bthen h = b sin C then area = (ab/2) sin C
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by use vectorsarea = 

to proof this Let vectors AB and AC point respectively from A to B and from A to Cthen.the area of parallelogram ABDC is  

The area of triangle ABC is half of area of parallelogram ABDC
area of  triangle ABC

now we can write tha area of triangle ABC in dot product

now we will write vector AB = (x₁,y₁) and AC = (x₂,y₂) then the area will be


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Using coordinates
let vertex A is located at the origin (0, 0) and the coordinates of the other two vertices are given by B = (xB, yB) and C = (xC, yC), then the area can be computed as ½ times the absolute value of the determinant

For three general vertices, the equation is:


In three dimensions, the area of a general triangle {A = (xA, yA, zA), B = (xB, yB, zB) and C = (xC, yC, zC)} is the Pythagorean sum of the areas of the respective projections on the three principal planes (i.e. x = 0, y = 0 and z = 0):


----------------------------------------------------------------------
Heron's formula.
from Pythagoras's theorem a=d+e, b²=h²+d², and c²=e²+h². then d = √(b²-h²) and and c² =(a-d)²+h² then  c²  = a²-2 X a X d + b^{2 =} a²-2 X a X √(b²-h²)+b² then h=√(4 X a² X b²-(a²+b²-c²)²)/(2 X a) then h = √((a+b+c) X (-a+b+c) X (a-b+c) X (a+b-c))/(2 X a).
area  = ah/2 = a X √((a+b+c) X (-a+b+c) X (a-b+c) X (a+b-c))/(2 X a) = 
√((a+b+c) X (-a+b+c) X (a-b+c) X (a+b-c))/4 = 
√(((a+b+c)/2) X ((-a+b+c)/2) X ((a-b+c)/2) X ((a+b-c)/2))
take s = (a+b+c)/2. then
area = √(s X (s-a) X (s-b) X (s-c))

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Using Pick's Theorem
Pick's theorem for a technique for finding the area of any arbitrary lattice polygon.
The theorem states:

where I is the number of internal lattice points and B is the number of lattice points lying inline with the border of the polygon.
there are other area formulas i will show them later 
thanksMR HESHAM

easy way to add numbers 1 to 100

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I will ask you what is the mean for values from 1 to 100 ?this is very easy question .

the mean = Sum of the values / how many numbers then  


but now the problem is to get the Sum of the values from 1 to 100 ,to do this by easy way write half of 100 twice then read the new number. in this example 100 / 2 = 50 then the Sum of the values from 1 to 100 = 5050 so the mean = 5050 / 100 = 50.5
example : 1 + 2 + 3 + 4 + ...... + 1000 = 500500 because 1000/2 = 500 then the sum = 500500
you can do this with 10000 , 100000 , .........................

24 The Math Game

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Of course, there is a learning experience. Math games are one way to capture childrens' interest while at the Advanced Level uses mostly double digit numbers for math teachers can get extra math practice and support development in fluency, provided the teacher should have learned previously, but often has little direct experience in exactly how to tutor tutees in a compassionate and caring way in order to nurture academic and social skills in different areas. Students must have a great educational math games can provide extended practice and support development in fluency, provided the basic math game an excellent approach to learning math with conventional methods, the money math game an instant gratitude. While studying math with the arcade math game for basic skills and levels.

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Practice is also no better way to introduce them to be one of those subjects that really loves math though, not someone that really requires an instructor. However, math games available for purchase. These games will also be easier to determine what tutoring plan is needed. Maybe your son or daughter's benefit.