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Monday, November 28, 2011
Tuesday, November 22, 2011
Scientific Notation
If something costs the government 100 billion dollars, How much will it cost you?
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Saturday, November 19, 2011
Teaching Number Sense to Your Children Is Easy With Number Counting
As a parent, helping your child perform better in their grade-level math is as easy as teaching number sense by practicing some basic exercises. Children who struggle with their grade-level math are deficient in operational skills. As a result, most of the problems that kids (and adults) have with math stem from a lack of basic number sense that comes with knowing how integers naturally progress.
Traditionally, multiplication tables are taught in school. A better learning method is for students to count by numbers which is a more enjoyable activity then attempting to passively scan a table in a book.
The best and easiest exercise for teaching number sense is simply counting by numbers out loud. Knowing how numbers progress in this manner is essential to understanding the principles of division and multiplication. Counting by numbers can be done anywhere at any time and is actually most fun when done spontaneously.
While counting by the various numbers, you can ask your child questions about the activity. One example could be "Why are 5's so easy to count by?" (Hint: what number do you always end in when counting by 5's?). Another question might be "What is unique about the numerical sequence of when counting by 9's?" (Hint: look at how the numbers in the one's and ten's place are sequencing).
Use the numbers 2-12 for counting purposes. We do not need to go beyond the number 12 since these numbers tend to factor into all other numbers. Explain to your child that when we see that numbers repeat themselves, the numbers we are counting by are factors of those numbers. For example, when I count by 3's or 5's, I eventually arrive at 15. Therefore, 3 and 5 are both factors of 15.
One variation of teaching number sense by number counting would be to use dice. Let your child roll the dice to see which number between 2 and 12 they are going to count by. Next, you roll to see how many times your child has to count by that number. Use your imagination to come up with your own counting games. As your child (and maybe even you) becomes more and more proficient at counting, raise the stakes by seeing how fast your child can count through all the numbers.
As your child is mastering this skill, they will see the connection between the number sense that is forming from this activity and the math operations it relates to. A multiplication problem is simply a fast way to add and the ability to count by numbers allows the child to use this skill to solve these problems quickly. With division problems, the child uses the factoring skills derived from number counting to see "how many of this number fits into that number".
For children to attain proficiency at grade-level math, they must be able to perform basic math functions. Guiding your child towards learning basic number sense by number counting is the best place to start.
Sunday, November 13, 2011
Implicit Differential Calculator for Implicit Differential Equations
Before we start implicit differential equation,first have a look on what is calculus and implicit functions? Calculus is a branch of mathematics that deals with the study of change. Calculus mainly focuses on limits, functions, derivatives, integrals and infinite series. In science, economics, and engineering there are pandemic applications of calculus. Differential calculus and integral calculus are the two branches of calculus.
Differential calculus is the study of the rates at which quantities changes. The primary objects of study in differential calculus are the derivatives of a function, related notions such as the differential and their applications. The derivative of a function describes the rate of change of function near the input value. The producer of finding the derivative is called as differentiation. Now, Implicit functions are those functions in mathematics in which the dependent variable has not been given explicitly in term of the independent variable. If we find the value of x by solving an equation of the form:
R( x, y) = 0.
While in explicit function a prescription is given to determine the value of function y in terms of the input value x:
y = f(x ).
In implicit differentiation, a rule named as chain rule is used to differentiate implicitly defined functions. As I have explained earlier in this page, variable y can be given as a function of x implicitly rather then explicitly. In Implicit differentiation, there is no real distinction between the appearance of x and y. All the implicit equations are be restarted explicitly in one equation.
for example
x2+ y2= 7 is an implicit equation and it needs two explicit equations.
y = + sqrt ( 7 - x2)
and, y = - sqrt(7 - x2).
Calculus is difficult part of mathematics and it needs lot of practice and sometimes it is hard to understand this subject. But, you can enjoy this subject with the help of calculus tutor online, They provide you good quality service and helps you in learning different calculus topics. You all are masters in using internet for playing games but now, also use same for learning math and solving its problems. Many sites are there to teach students and some of them also offers free online tutoring for math.
The developer of the sites has also developed some solver or you can say calculator to solve the math problems in seconds. In this page, we discuss about implicit function, so have a look on solver known as Implicit Differentiation Calculator used to solve implicit differential equations. Using calculator is very simple just give the appropriate input and ask it to perform operation, it will generate the output automatically, you don't have to do anything in that. Similarly, in implicit differentiation calculator, you don't have to do anything. Just give inputs, it will generate the result. You can see the different steps that are used while solving the problems and if any question comes in your mind then you can take help of free online math tutors.
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Friday, November 4, 2011
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