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Here we present math to junior high school equipped with the discussion. The subject this time is about kesebangunan and curved sides. Earlier this matter I put in rajasoal.com premium package, but due to many requests for Math problems that comes with the discussion, so this time the questions and discussion that you can download for free.

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I have always had a deep love for math. Knowledge of mathematics is essential!

Learning fractions can be rather complicated. All fractions have a top number (numerator) and a bottom number (denominator). There are problems involving fractions which require several steps to be taken before you get to the solution. Many fraction problems also require that more than one basic math operation be utilized. The four operations are addition, subtraction, multiplication, and division. If you are lacking proficiency in any of these areas, you will struggle with doing fractions. Mastering fractions require lots of practice. In this article, I will present various examples to demonstrate how the four math operations come into play with solving fractions.

Example 1: Adding fractions (same denominator)

5/9 + 2/9 = 7/9

When adding five-ninths and two-ninths, you simply add the numerators of 5 and 2, which become 7. The denominator of 9 remains the same. The answer is seven-ninths.

Example 2: Adding fractions (same denominator and reduced to simplest form)

5/10 + 3/10 = 8/10 = 4/5

The numerators add up to 8. The denominator stays at 10. The answer is eight-tenths. However, eight-tenths can be reduced into a smaller equivalent fraction. You must figure out the highest number (common factor) that can be evenly divided into both the numerator and denominator. Here both 8 and 10 can be divided by 2. Eight-tenths can be converted into four-fifths, which is the final answer.

Example 3: Adding fractions (different denominator and reduced to simplest form)

4/8 + 3/12 = 12/24 + 6/24 = 18/24 = 3/4

The two denominators must be converted into the same denominator before you are able to add. The denominators here are 8 and 12. First, you must figure out the lowest number in which both 8 and 12 can be evenly multiplied into. The lowest number would be 24. You then need to convert both 4/8 and 3/12 into fractions that will have 24 as the denominator. For 4/8, you will multiply both numbers by 3 to come up with 12/24. For 3/12, you will multiply both numbers by 2 to come up with 6/24. You will then add 12/24 and 6/24 to come up with 18/24. 18/24 must now be reduced to the simplest form. The highest common factor for both 18 and 24 is 6. 18/24 divided by 6 equals 3/4.

Example 4: Subtracting fractions (same denominator and reduced to simplest form)

18/25 – 8/25 = 10/25 = 2/5

The numerators are subtracted 10. The denominator remains 25. 10/25 can be further reduced. 10 and 25 can both be divided by 5. The final answer is two-fifths.

Example 5: Subtracting fraction (different denominators and reduced to simplest form)

30/40 – 15/60 = 90/120 – 30/120 = 60/120 = 1/2

The two denominators must be converted into the same denominator before you are able to subtract. The denominators here are 40 and 60. Figure out the lowest number in which both 40 and 60 can be evenly multiplied into. The lowest number is 120. You then need to convert both 30/40 and 15/60 into fractions that will have 120 as the denominator. For 30/40, you will multiply both numbers by 3 to come up with 90/120. For 15/60, you will multiply both numbers by 2 to come up with 30/120. You can now subtract 90/120 and 30/120 to come up with 60/120. 60 and 120 can each be divided by 60. 60/120 becomes 1/2 which is the final answer.

Example 6: Multiplying fractions (simple problem)

7/8 x 3/4 = 21/32

Simply multiply the numerators and denominators for the answer.

Example 7: Multiplying fractions (reduced to simplest form – cross canceling)

15/ 25 x 5/30 = 1/5 x 1/2 = 1/10

The two fractions can be reduced to simplest form by cross canceling out each other’s numerator and denominator. The numerator of the first fraction (15) and the denominator of the second fraction (30) are both divisible by 15. “15″ becomes 1 and “30″ becomes 2. The same is done for the numerator of the second fraction (5) and the denominator of the first fraction (25). “5″ becomes 1 and “25″ becomes 5. You are now multiplying 1/5 and 1/2. Multiply the numerators and denominators. The final answer is 1/10.

Example 8: Dividing fractions (simple problem)

5/9 / 7/11 = 5/9 x 11/7 = 55/63

When fractions are being divided, you need to “flip” the second fraction and change the operation sign from division to multiplication. 7/11 now becomes 11/7. You will now multiply the fractions.

Example 9: Dividing fractions (reduced to simplest form)

3/9 / 7/8 = 3/9 x 8/7 = 24/63 = 8/21

Flip 7/8 into 8/7 and change the sign from division to multiplication. Multiply the fractions. 24/63 can be further reduced. 24 and 63 are both divisible by 3 (greatest common factor). The final answer is 8/21.

Example 10: Dividing fractions (reduced to simplest form – cross canceling)

36/45 / 18/15 = 36/45 x 15/18 = 2/3 x 1/1 = 2/3

Flip 18/15 into 15/18 and change the sign from division to multiplication. 36/45 and 15/18 can be reduced through cross canceling. The numerator of the first fraction (36) and the denominator of the second fraction (18) are both divisible by 18. “36″ becomes 2 and “18″ becomes 1. Cross canceling is now done for the numerator of the second fraction (15) and the denominator of the first fraction (45). “15″ becomes 1 and “45″ becomes 3. You are now multiplying 2/3 and 1/1. The final answer is 2/3.

Singapore math is a prime example of applied technique that is working well for a society that has always laid claim to excellence. By all indications that reputation will do nothing but improve.

Before 1980, Singapore relied upon imported text books and curriculum from surrounding countries to educate the masses within the mathematical field. At that time Singapore’s Curriculum Development Institute was founded and began to design and apply their own textbooks with their beginning and intermediate levels. In this interest, the Education Ministry has focused its attention on new directives geared towards problem solving and trial and error methods for the student. This method invites and allows the student to take the subject on their own level and terms so that education is better facilitated.

If there are any doubts as to the effectiveness of this implementation, they will be quickly dispersed if the records are examined. Studies have shown that Singapore’s already stellar mathematics reputation has been growing by leaps and bounds since adopting a focused response to needs within their system. Something is being done right in the right places and the world is taking notice.

At the heart of this method lay a few essential premises. What is taught is built upon and not revisited with review. Mastery of basic skills is emphasized as the basis for future expansion and attention must be focused upon complete understanding along each step of the way. Although upon initial inspection the process might seem slow and cumbersome, the end result is that the student advances at their specific pace and are not forced into confusion by per-determined advancement guidelines.

There is an intense focus on utilizing problem solving methods as it applies to skill development for the student. As the concepts are represented by familiar situations to the student, grasp of the concepts are recognized more easily and the sense of intellectual reward inspires more interest and excitement. Gone is the need for repetitive and boring insistence within the classroom. Learning becomes an eager demand for more knowledge rather than being forced upon the student at an unrealistic rate.

Another consideration is to reach out to the students with a wider perspective than is classically determined to be adequate. Studies have shown that the learning process is enhanced once the student can visualize the problem solving application without relying on the repetition of examples. Focusing on the examination of the problem at hand in familiar terms recognizes easier extrapolation of the problem’s solution.

It’s important not to underestimate the abilities of math games graders. The right approach can prompt exceptional success when it comes to learning fundamental mathematical concepts. Games should not be dismissed out of hand. In fact, they should be included in more classrooms. By keeping a child engaged and entertained, it’s much easier to instill a lifelong love of learning. That love of learning will do more than anything to help a child succeed in the years to come. Traditional instruction has its merits, and it can be enhanced with the introduction of well-designed, high-quality math games for first graders. Start exploring the many great options today.

In order to provide the most worthwhile educational opportunities to first grade students, it’s smart to explore all of the available options. These days, most schools incorporate the Internet into at least a few popular subjects. One subject that may be overlooked is math. That’s too bad because there are many great online math games for first graders. The very best ones use exceptional technology and programming to produce unbelievable results for students, parents and educators. For students, online math games are fun and exciting to play. For parents, they produce clear benefits and obvious results. For teachers, they make it easy to round out the existing curriculum and to ensure that students don’t slip through the cracks. Learn more about why math games for first graders are so great below.

Designed with Fun in Mind
Let’s face it: If you can’t hold a student’s attention, you can’t expect him to learn or retain anything. While some would argue that it just takes time to teach children how to learn effectively, studies are increasingly showing that it pays to offer fun and interactivity when trying to teach subjects like math. Math has a reputation for being difficult and boring, so many students are prone to zoning out right from the beginning. By presenting instruction in the form of a game, you can increase the odds of holding onto students’ attention for longer periods of time.

Optimal Learning Zones
Each student has his own optimal learning zone. That learning zone changes constantly too because he’s constantly learning new things. Zeroing in on each student’s optimal learning zone is easier said than done. However, math games for first graders are often designed to do just that. They accomplish this feat by offering adaptive learning and individualized instruction. As a game is played, the program learns about a child’s strengths and weaknesses. Almost instantly, the game shifts to address those strengths and weaknesses. In this way, a child can work his way through the curriculum at his own unique pace.

A Rigorous Curriculum
While you don’t want to move beyond the abilities of a math student, you also shouldn’t keep things too simple. Without challenge, a student has no way to advance or make progress. That’s especially true when it comes to math. Fortunately, today’s best math games for first graders
move right along with a child to keep him challenged. These games adapt depending on the proven abilities of a child, so there’s no danger of a game moving along too quickly. When they are challenged in the right way, first graders are able to move above and beyond the standards that are set for their grade.