Is there any benefit to learn mathematics? Learn mathematics does have benefits for children. Mathematics can train brain, help them build logic thinking,
continue learn mathematics can help children build confidence, living skills and goals.
This mathematics learning website is designed for all students, parents, and teachers. Learning mathematics by understanding principles from examples
is a good way. How to solve a mathematics problem? There is a way and process for it. First we need to identify which category the particular problem is belong to, second we need to know what principals are related to solve this kind of problem, third we need to use the technique we learn from mathematics classroom to solve the problem. For example, if we are asked to measure the height of a tall building, we need to identify which category the problem belong to.
Since the height of the building is perpendicular to the ground, we can draw a triangle in which the height of the building is the altitude of
the triangle and another leg of the right triangle is the ground. Since the building is too tall to measure it directly, so we use two similar
triangles to find the height of the tall building. The altitude of the small triangle can be measured. The altitude of the small triangle is the line drawn from a point which lies on the hypotenuse of the large triangle and perpendicular to the ground. Then we apply the properties of similar triangles, we can find the height of the tall building.
In pre-algebra section, there are basic rules for arithmetic operation. For example, what is the common factors? What is the greatest common factor (GCF)? What is the simplest form of a fraction? What is the least common denominator (LCD)? How to comparing fractions with common denominators? How to comparing fractions with different denominators? How to comparing fractions with the same numerators and different denominators? How to change a mixed number to a fraction? How to add two fractions with the same denominator? How to add two fractions with different denominators? How to add two mixed numbers with the same denominator? How to add two mixed numbers with different denominators? How to subtract two fractions with the same denominator? How to subtract two fractions with different denominators? How to subtract two mixed numbers with the same denominator? How to subtract two mixed numbers with different denominators? How to multiply two fractions? How to divide two fractions? Why do
we need to use a fraction? Look the example, on hour is 60 minutes, then 20 minutes is how many hours? The 20 minutes is 20/60 = 1/3 hours which is a fraction. So a part of whole can be expressed as a fraction. There are a lot of operation rules in Pre-algebra, it is the foundation of the algebra.
There are many things in real word can be expressed as an algebra expression. For example, John bought three apples and five pears, let A represents apple
and P represents pear, then the algebra expression is 3A + 5P. If an apple cost $0.76 and a pear cost $0.56, then total cost for John to buy
these fruits will be (3 × $0.76) + (5 × $0.56) = $5.08. So algebra is related to quantity of an object and relationship between different objects.
We need to find the relationship between different objects. The following is an example of using algebra equation to solve a real word problem.
In a school laboratory, one solution containing 8% concentration of acid and a second solution containing 18% concentration of acid. Now we
need 20 milliliters of a solution containing a 12% concentration of acid, how many milliliters of each solution should be mixed to obtain the
solution we wanted? Now we use the algebra method to solve this problem. Let x be the number of milliliters of the first solution,
then (20 – x) is the number of milliliters of the second solution. The milliliters of acid in first solution is 8%x, the milliliters of acid
in second solution is 18%(20 – x), the milliliters of acid in mixture solution is 12%(20). Because the amount of acid in the mixture is the sum
of the amount of acid in the two solutions, so the equation is 8%x + 18%(20 – x) = 12%(20), solve this equation, we get x = 12,
Therefore, 12 milliliters of the first solution and 20 – 12 = 8 milliliters of the second solution should be mixed to get the solution we need.
So practice algebra can help us observe the relationship between different objects and learn the methods to solve real world problems.
The objects around us are full of shapes. Geometry is a subject related to shapes. For example, when we plan to paint a room in a house, we need
to know how many paint we need buy to paint the room. First we need to find the shape of the painted areas, second we need to calculate the areas
of the painted area, and third we need to calculate how many cans of paint to buy to paint these areas. So by learn geometry, we learn how to find
the length, angle, area, and volume of simple objects. We learned how to express a point in a xy-plane, how to find the length of a line in a
xy-plane, the properties when two line are parallel or perpendicular to each other. All calculation related shape of an object can use the method
of geometry. In the process of solving geometry problem, we learn reasoning. The skill of reasoning can apply to our life. Algebra and geometry are
very important for middle and high school students. When we have a good understanding on algebra and geometry, learn trigonometry is not hard.
How to find the characteristic of an object whose edge is curve? We need to understanding trigonometry. What is the definition of radian? What is
the relationship between radian and degree? How to calculate the arc length of a circle? What is the definition of trigonometry functions? What are
the four quadrant? What is the definition of positive angles and negative angles? What are the values of special points on the unit circle? How to find the values of a trigonometry functions of a special angles?
What is the period function? How to draw a period function? What is the phase shift?
The future of a country is the children. Let us to help children spend more time on reading, writing, mathematics, and science. Help children have
more choice to choose from for their career and help them build self-confidence.