Mathematics, How It Changed Human Life Style?

Mathematics it’s only subject which can judge people’s attitude in life. Either it can attract a child or make him or her fearful to avoid complexity of unsolved problem. From here it shows how someone wants to treat life when the real and complex problems appear. Find below how can math change human life.

If you look at anything around the world which developed from human being you can directly relate mathematics with that.

Look at the Computer which earlier serves the purpose of some specific area is now part of day to day life. You can connect live tutor chat threw social networks or from any other source and plenty of other useful application which changed human life drastically.

It is forcing us to think how exactly it happened? It’s just because of mathematics. Base of all the computer application is logic's and base of logic is mathematics. Now who doesn’t love mathematics still engaged with it indirectly by using it in day to day life.

Now everything is available on Google or other search engine. Everything is running on logic here also and all these logic's are bunch of mathematics formulas. Post internet existing life changed a lot now world is inside a box which can be any device computers, tablet or smart phones.

These days’ students start loving to solve math problems which are either complex or unsolved because of free math help hotline 24/7 and also that is only area of opportunity where next generation is working.

Without mathematics it is almost tough to think worlds so accessible. Just imagine listening voice and seeing your lovable ones who is 2000 miles away from you can give you a wonderful feelings.

Each and every imagination is possible only because of mathematics. We should thanks mathematics for making our life so flexible and easy. Many more imagination is waiting and many more genius is there to work passionately on those. This is how mathematics changed human life style.

Area of Triangle

                                                                                                     
The closed figure that is formed by least the number of line segments that is three line segments is known as a triangle. There are different types of triangles that are classifies on the basis of their sides and angles.

The triangles are that classified on the basis of lengths of the sides are

(i) Scalene
(ii) Isosceles
(iii) Equilateral

The triangles are that classified on the basis of the measures of their angles are

(i) Acute angled
(ii) Right angled
(iii) Obtuse angled

Online Geometry Tutoring helps you to solve all the homework problems

Scalene Right Triangle

A scalene right triangle is a three sided figure in which all the three sides are different from each other and one of the angle measures 90 degrees.

Finding Area of a Triangle

Area of any three sided figure (triangle) is the region that is enclosed by the three sides of the figure. This can be found using different formula.

Formula : 1

Area = ½ * base * height
Where base is the side on which the altitude is drawn, height is the length of the altitude that is drawn on the corresponding base.

Example : 1

Find the area of the figure given below.

Solution :

In the given figure, we see that the altitude AD is drawn on to the side BC of the triangle. Therefore, Base = BC = 8 cm and height = AD = 3 cm.

We know, area = ½ * base * height
                            = ½ * 8 * 3
                            = ½ * 24
                            = 12 square cm


Example : 2

Find the area of a three sided figure whose sides lengths are 4 cm, 5 cm and 3 cm.

Solution :

Given, the three sides are
1st side = 4 cm
2nd side = 3 cm
3rd side = 5 cm

These three sides form a Pythagorean triplet. In which 4 cm and 3 cm are the lengths of the legs (that is the sides containing the right angle)

Therefore, Base = 4 cm and height = 3 cm.
We know, area = ½ * base * height
                        = ½ * 4 * 3
                        = ½ * 12
                        = 6 square cm

Formula : 2

If a, b and c are the lengths of all the sides of a triangle then its area is found using the formula
Area = square of root of [s(s – a)(s – b)(s – c)] square units

Where S is known as the semi perimeter and is found by sum of the side lengths divided by 2

Example : 3

Find the area of the triangle whose sides lengths are 6 cm, 7 cm and 9 cm

Solution :

Let a = 6 cm, b = 7 cm and c = 9 cm

Semi perimeter = (a + b + c)/2 = (6 + 7 + 9)/2 = 22/2 = 11 cm
s – a = 11 – 6 = 5
s – b = 11 – 7 = 4
s – c = 11 – 9 = 2

Area = √[s(s – a)(s – b)(s – c)] square units
Area = √[11(5)(4)(2)] square cm
Area = √[440] square cm
Area = 20.78 square cm

Example : 4

Find the area of the triangle whose sides lengths are 10 cm, 12 cm and 14 cm

Solution :

Let a = 10 cm, b = 12 cm and c = 14 cm

Semi perimeter = (a + b + c)/2 = (10 + 12 + 14)/2 = 36/2 = 18 cm
s – a = 18 – 10 = 8
s – b = 18 – 12 = 6
s – c = 18 – 14 = 4

Area = √[s(s – a)(s – b)(s – c)] square units
Area = √[18(8)(6)(4)] square cm
Area = √[3456] square cm
Area = 58.79 square cm

Formula : 3

If all the sides of the three sided figure are congruent to each other. Then such a figure is known as equilateral triangle.
Area = (√3/4)(a²) square units.

10 Effective Fundamentals For Teaching Math

Teaching math to the students can be a forbidding task for many of the math tutor and parents because math is a different subject compared to other subjects. The teacher should know the teaching fundamentals of math before they go to math class. What if the teacher knows all the fact of teaching math but cannot communicate to the students in a way so that students understand it? For teaching math teacher needs a student’s friendly communication. 

Below you can find 10 effective fundamental for teaching math,

1) Teaching should make some sense. Explain math concepts to the children so that it makes some sense. Many students hate math engage them in such a way so that they learn to enjoy math.

2) Encourage students to learn math. Involve such math activities in your teaching which encourage students to do math.

3) Math is a subject which is different from other subjects. Some students need more time to understand the math. Teach math concepts not just to memorize, explain concepts in such a way so that it helps children to learn exactly how the math work and they can apply their knowledge in other problem too.

4) Students learn differently. Use different methods of teaching. For examples some students are weak in statistics, provide Online Stats Help with live examples. Like vies concentrate on each student’s weak parts of math. Use worksheet, flash cards other techniques of teaching.

5) People learn from failure. Allow students to do mistakes, this will help students in some points.

6) Let students teach you. This is one of the most effective method or teaching math.

7) Before moving to the next topic make sure student completely understands the concept.

8) Games are the best way to enhance math learning. Enhance Students math learning by objects round them.

9) Math is a subject with almost everyone hates. The best way to teach math is rewarding students for their success. This will give them confidence and encourage them to do better.

10) Learning feedback matters. Telling students, their weakness and strengths also help them in the same way as failure.

Follow these 10 effective fundamental ways to teach math and allow students to make the math simple. To know more about it click here.              

10 Practical Tips To Improve Math Skills

Math is an important skill in everyone’s life. Mastering math skills is very essential for future opportunities. Math made easy to achieve any success. Parents and teachers need to motivate the students to improve their math skills. If your child is struggling with math skills, here are a few tips that will help you to improve their math skill,

1) Make sure that your child is able to understand the mathematical concepts. If not, try to explain in different ways. Otherwise, math will become meaningless for them.

2) Start with algebra basic concepts. First, let them master the basic facts of math. You can use flash card, manipulate objects, Online Algebra Tutor for your children to learn the basic concepts.

3) Let your children to enjoy the math. Games are the best ways to enjoy the math. For example, chess will teach them planning strategies. Games help students to improve their math skills in a better way.

4) Provide immediate help to your children whenever they need it. Math is a subject in which everything is built upon what has been learned before. Immediate help will allow students to work further. If you are not able to help your children, then you can provide them a free online tutor. They are available 24/7 to help your children.

5) Help your children to understand math symbols and vocabulary. Without a proper understanding of math symbols and vocabulary students are not going to get a feeling to learn math.

6) Encourage students to do more than assignments problems. Practice needs to improve math skills.

7) Show your children different method of solving problems. This will allow your children to find out which technique suite them most.

8) Play number guessing games with your children. This helps you to improve their number sense.

9) Connect math concepts with real world examples so that it will be easy to remember for children.

10) Provide puzzles to solve your children. The puzzles are the best way to develop math skills. Parents can develop puzzles for reviewing their preparation for exams.  

By implementing these 10 tips your child will be able to perform better in math.

How Can I Develop Math Confidence?

Remember that some amount of anxiety is helpful to keep us motivated and energized about something. However, if your anxiety is so great that it is interfering with your ability to do well in class, there are some steps you can take:

• Do math every day

Just like with a foreign language, if you don't use math frequently, you'll have a harder time becoming fluent. Do some math every day (Yes, including weekends), even if it's only 15-30 minutes. Try to avoid stacking all of your math activities on one or two days.

• Scheduling

Build positive time management skills by making and sticking to a reasonable schedule. Your schedule should include time for studying, as well as social and personal activities. There are many ways to make a schedule; find what works best for you.

• Prepare adequately

Make sure you're going to every class and regularly reading your math textbook. Use you TAs and academic resources on campus. For larger projects, start early rather than waiting until the last minute.

• Identify and eliminate negative self-talk

Become aware of your internal dialogue. Start replacing negative self-talk with more affirming and rational self-talk. This may feel funny at first, but it will start feeling natural the more you practice.

• Practice good self-care

Get enough sleep. Eat well-balanced, regular meals. Participate in a regular exercise program. Learn effective ways to relax and manage stress and anxiety. Poor self-care leads to poor performance in all areas, including math.

• Seek help

Find a study buddy or study group. If you feel you need additional assistance, seek out a tutor or counselor. The Counseling Center offers a group to help students gain math confidence. Don't let fear of asking for help keep you from reaching your goals.

Blog Courtesy - http://www.counseling.ufl.edu/cwc/developing-math-confidence.aspx