Friday, April 25, 2014

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Friday, April 11, 2014

Become a Tutor for AtHome Tuition

Become a Tutor for AtHome Tuition

Get Paid to Tutor Online!

Are you interested in tutoring students online? We are presently hiring a number of dedicated, expert tutors to teach for AtHome Tuition. If online tutoring and getting well paid for it interests you, then this is just the opportunity you have been looking for!


AtHome Tuition is the world’s leading provider of private tutoring on the web. We are a rapidly growing organization that offers huge possibilities for your career advancement. By tutoring online, you can do what you enjoy most – Tutoring and sharing your wealth of experience with students from across the world.

Online Tutoring Benefits

  • Being able to work from home
  • Extra income
  • Flexible working hours – work the hours you want, when you want!
  • Improve your teaching skills and boost your resume by tutoring students from across the world
  • Become familiar with the latest computerized tutoring technology

Our Requirments

We require that all of our tutors are educated to at least a post graduate level in their specialist subject. As well as this, potential tutors need to have a computer and a reliable, high-speed broadband internet connection. Tutors will also be required to work for a minimum of 4 hours per day, and must be willing to learn about the necessary tools and technologies that are used for online tutoring.

Tutor Testimonials

This is what some of our current tutors have to say about working with AtHome Tuition:

“By tutoring from home with AtHome Tuition, I am able to continue doing what I love. Despite having small children to take care of, I am still able to share my knowledge tutoring students, something that always gives me the utmost pleasure and satisfaction” – Catherine Holder, New Jersey

“After almost 20 years of college teaching, I was looking for a fresh challenge. Boy did I find it when I came across online tutoring! A whole new world of opportunities was opened for me, and I was only too happy to embrace it. A tutor can never stop improving themselves, and I have certainly learned a lot with AtHome Tuition” – Dr. Sanjay Kushta, Mumbai

“AtHome Tuition provide an excellent service to students the world over, and I’m happy to share in that. I’m very happy I heard about tutoring opportunities online. I never realized how much fun tutoring online could be, and that’s without mentioning the convenience of it all” – Sidi Muralitharan, Colombo

“Having worked with AtHome Tuition for just over 3 months now, I can say that it is a most innovative idea, one that really produces great results. The work is enjoyable and exciting, and I enjoy being able to work so closely with individual students and seeing them progress” – Gerhard Schechtner, Germany

FAQ For Prospective Tutors

What subjects and grades are you hiring for?

AtHome Tuition is recruiting English, Math and Science tutors currently. However, we are also interested to hear from tutors of other subject areas, as our programs offered database is constantly expanding.

Am I able to work part-time or flexible hours?

Yes, of course. We offer both part-time and full-time tutoring positions. Right now, you can choose from working between 4 and 8 hours per day. Working hours will be based on a pre-agreed schedule, but this can be changed with prior notice.

How long to the online tutoring sessions last, and do I always teach the same student or different ones?

Our sessions vary depending on the course and student’s wishes, but usually last between 45 minutes to 1 hour. Tutors will teach as many students as they have time for, however we try to schedule our students with the same tutor each session. We do this because we believe continuity and building a good student-tutor relationship promotes more effective learning.

Any problems or disadvantages I should know about?

For US and UK based tutors, you should be aware that most tutoring will take place during the evenings. We also require a certain level of commitment from our tutors; we are not interested in floating or ad hoc tutors.

What are the required qualifications and skills?

All of our tutors must be qualified to a minimum of post graduate master’s degree level in the subject they will teach. We also demand that our tutors have previous tutoring experience. We may make exceptions for tutors with no experience if they have an additional education-based degree. We may also make exceptions for certain candidates that have outstanding academic records and experience in specialized fields such as engineering. Lastly, good English and computer skills are mandatory requirements for all our tutors.

What kind of computer and internet connection do I need?

The main requirement is that you have a high speed internet connection (Broadband, ISDN, DSL or similar). Your PC must be installed with Windows and Internet Explorer programs. You also need a minimum of 256mb of RAM, and a Pentium 3 processor or something even faster. Speakers and a microphone and a digital pad and pen are also essential. Lastly, you must have Microsoft Word installed on your PC.

As an online tutor, what will my duties and responsibilities be?

There are many responsibilities that come with this job. We ask that you treat them with the utmost seriousness:
  • Be aware of each student’s needs and learning objectives
  • Use our tools to prepare personalized lesson plans and a curriculum
  • Provide expert tutoring to each student using our tools and your special skills and knowledge
  • Keep yourself up to date with our policies and conduct codes
  • Make yourself available for regular training and development sessions
  • Maintain regular contact with AtHome Tuition. This means responding to all messages from us within 48 hours
  • Be available and prepared to tutor at the scheduled times, as previously agreed with us. You must inform us in advance if you are going to be unavailable to tutor
  • Work with us to continue building the quality service that our students deserve

Is there any training required in order to become an online tutor?

All of our tutors receive training before starting work. Training will cover computer usage, our unique interface system and computerized teaching tools, online tutoring basics, familiarization of tutoring content and resources, US and UK curriculum specifics and finally our own tutoring methodology. The training course is quite intensive, covering approximately 30 hours over 1-2 weeks. Prospective tutors will then have to complete trial sessions with our trainers in order to be cleared to tutor our valued students.
Thanks very much for your interest in becoming an online tutor with AtHome Tuition. We hope that we have covered all of your questions regarding our tutor program. However, if you need more information, we are happy to respond to your queries. Please email us or send your professional resume to careers@AtHome Tuition.com and we will respond to your inquiry soon.

Tuesday, April 8, 2014

Trigonometry Tangent

Trigonometry: Tangent

Angles and sides in trigonometry: Tangent

 
Last but not the least is the trigonometric function called tangent.










Look at the triangle above. Do you notice the following?
* The unknown angle, α

* The side adjacent to the unknown angle (15.3 in)

* The side opposite to the unknown angle (6.37 in)

We need the value of angle, α. Notice that the sides of the triangle are labeled appropriately 'adjacent side' and opposite' relative to the unknown angle α.

To simplify our discussion, we will simply call the 'length of the adjacent side'simply the 'adjacent'. The other side will simply be referred to as ‘opposite’.

The value for the tan of angle α is defined as the value that results when you divide the opposite side by the adjacent. The formula is written below:

tan(α) = opposite / adjacent

Or simply:

tan(α) = opp / adj
From the diagram above, we can easily solve the unknown angle with the tangent formula:
tan(α) = 6.37 inches / 15.3 in
tan(α) = 0.42
α = tan-1 0.42
α = 23°
Note that the inverse sign is used above. This value can be found using your calculator.


Remember:
1) If any two values i.e. the 2 sides or, an angle and a side, are given, the missing angle or side can always be found by simply substituting the correct values in the formula.
2) It always helps to draw the diagram to get an accurate picture of what’s being asked.
3) Use the calculator to enter the values of cosine and inverse cosine.

Try the following questions

  1. Felix was asked by his dad to measure the height of their orange tree in the backyard. He walks exactly 121 feet from the base of the tree and looks up. The angle from the ground to the top of the tree is 33°. How tall is the orange tree?


    Answer: 78.65 ft

    Explanation:












    tan 33° = x / 121
    0.65 x 121 = x
    x = 78.65 ft

  2. Jerry is walking along a straight road when he notices the top of a glass building subtending at an angle 73o with the ground at the point where he is standing. If the height of the tower is 23 m, then how far is he from the base of the building?


    Answer: 7 m

    Explanation:













    tan 73o = 23 / x
    23 / 3.27 = x
    X = 7 m


  3. A 60 ft tree casts a shadow on the ground below that is 34 ft long. What is the angle made by the sun with respect to the tip of the shadow of the tree?


    Answer: 60°

    Explanation:













    tan x = 60 / 34
    tan x = 1.76
    x = tan- 1.76
    x = 60°


  4. Paul and Matt are avid UFO fanatics. They observe a flying object not too far which is approximately 58° north of where they are standing. Judging from its close proximity to the distant trees, they estimate it to be 860 m from where they are. How far up the sky is the object?


    Answer: 1376 m

    Explanation:
















    Tan 58° = x / 860
    1.6 x 860 = x
    x = 1376 m

Monday, April 7, 2014

Why choose to learn online?

Why choose to learn online?

Do you want to improve your English, math’s and science skills, or get external help for that life changing exam? Well, here at ‘AtHome Tuition’ we can help you sharpen your skills to ace that all important exam. If you are finding it difficult to locate a private tutor then choosing to learn online could be the answer to your problems. One of the great advantages of opting to learn online is you can do all your extra classes in the privacy of your own home, giving you more time to study. No more rushing to a private class tutor after a hard day’s work or study.

No matter what your level is, we can help you to excel when you learn online. All of our tutors are highly qualified, certified and experienced which makes your learning online experience easier and more fulfilling. With our world-class resources available to you, your decision to learn online will not only be rewarding experience, but an enjoyable one as well. With courses on math, English, science, SAT, IELTS, PSAT and TOEFL available, we guarantee you the best online learning experience.

We believe that when you learn online, it doesn’t have to be boring or arduous. It is our vision to make the online learning experience stimulating and fun while the student obtains new skills and knowledge. With our uniquely tailored system, learning online can deliver students the knowledge that they need efficiently and more quickly than ever before. You will also get the unrivaled attention of one of our impeccably diligent personal tutors. Our tutors are available in a real time situation while you learn online, meaning that when you have a question, they will be on hand to answer you immediately.

Wednesday, April 2, 2014

Types of Functions

Types of Functions

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One-to-one function or one–one function

A function f: A→B where A,B are two non-empty sets is called a one-to-one function if no two distinct elements of A have the same image in B. That is, f: A→B is a one-to-one (or one–one) function if and only if (i f f).
 
x1, x2∈A and x1≠ x2 then f(x1) ≠f(x2)    or
 
if f(x1) = f(x2) x1= x2

Example 1

 f  = {(a,x), (b,y), (c,z)}

is a oneone function.

Example 2

Let f: R→R be defined by f(x) = x2. Is f one–one?

Consider f(1) = (1)2

                    = 1

             f(-1) = (-1)2 = 1

             f(x1) = f(x2) = 1

But x1≠ x2

      1 ≠-1

So f is not a one–one function.
A one–one function or one-to-one function is also called an injection.

Onto function

A function f: A→B, A,B are non-empty sets, is called an onto function if f(A)=B. That is f is onto if every element of the
codomain B is the image of at least one element of the domain A.

f: A→B is onto if and only if (iff) for every y ∈B there exists at least one x∈ A such that f(x) = y.

Example 3

Let f: {a, b, c} →{1,2,3} such that f(a) = 3, f(b) = 2, f(c) = 1.

f is an onto function, since each element of {1,2,3} is an image of an element of {a, b, c}.

Example 4

Let f: {2, 4, 7} →{p, q, r}

such that f(2) = q, f(4) = r, f(7)= r

f is not onto as p is not the image of any element of {2, 4, 7}

Example 5

Let   f: N→ {-1, 1} defined by

f(n) = 1 if f is odd,

      = -1 if n is even.

f is onto.

Example 6

Let f: R→R be defined by f(x) = 3x-5. Show that f is onto.
 
Solution:
 
Let y = f(x) = 3x - 5

      y = 3x - 5

y + 5 = 3x


 


For every y ∈R there is an x ∈R
 
such that
 
An onto function is also called a surjection.
 

One–one and onto functions

A function f: A→B, A,B are non-empty, is called a one–one and onto function if it is both one–one and onto. This type of function is also called a bijection.

Example 7

If f   = { (p,1), (q,2), (r,3) }

f is one–one and onto

Since f (p) = 1

          f(q) = 2

          f(r) = 3

For every element of {1,2,3} is the image of element of {p,q,r}.

So f is onto.

Also, f is one–one since two distinct elements of {p,q,r} have two distinct images in {1,2,3}.

Example 8

Let f: R →R be defined by f(x) = 2x + 3

f is a one–one and onto function.

Consider      -1≠ 1

                f(-1) ≠f(1)

     as 2 (-1) +3 ≠2 * 1+3

                -2+3 ≠2+3

                     1 ≠5

       Let y = f(x) = 2x + 3

                 y - 3 = 2x


                  
 
So for every y ∈R there exists an x ∈R such that
                  
So f is onto.

Example 9

Let f: R→R be defined by   f (x) = x2 - 1

Consider    f (2) = 22 -1

                      = 4-1

                      = 3.

                f(-2) = (-2)2-1

                      = 4-1

                      = 3

                 f(2) = f(-2)

              But 2 ≠-2

f is not one–one.

So f is not a bijection.

Try these questions

 

1.

State if the following functions are One–One

     
 
a.
f1(x) = x2          f1: R→ R
     
 
b.
f2(x) = -3x        f2: R→ R
     
  Solutions:
     
 
a.
f1 : R →R

f1(x) = x2

f1is not One–One since

    f1(-2) = (-2)2

            = 4

     f1(2) = (2)2

            =
4

    f1(-2) = f1(2)

            =
4

but -2 ≠2
   
 
b.
f2: R →R
 f2(x) = -3x

   f2(x1) ≠ f(x2)

-3x1 ≠-3x2

    x1 ≠x2

So f2 is one–one.
   
2.

State if the following functions are onto

     
 
a.
g1(x) = 2x3      g1: R→ R   
 
 
 
b.
g3: Z→ Z defined by g3 (x) = x-1
     
  Solutions:
     
 
a.
g1: R→ R

  g1(x) = 2x3

Let y = g1 (x) = 2x3

     y = 2x3

   y/2 = x3

     

g1 is onto.
   
 
b.
 g3: Z→ Z      g3(x) = x-1

 g3is an onto function since g3 (Z) = Z.

Or

for every x ∈ Z there exists a y ∈ Z such that g(x) = y.
   
3.

State if the following functions are bijections. (One–One and onto functions).

     
 
a.
f1 = {(a,-1), (b,-2), (c,-3), (d, -4)}
     
 
b.
f2 : R→ R defined by f2(x) = 4x-1
     
  Solutions: 
     
 
a.
f1 = {(a,-1), (b,-2), (c,-3), (d,(-4)}

    f1 is One–One since

     -1 ≠-2

   f1(a) ≠f1(b)

  a≠ b

f1 is onto as every element of {a,b,c,d} has an image in {-1,-2,-3,-4}.

   f1 is a bijection.
   
 
b.
f2 : R→ R where f2(x) = 4x-1

f2 is One–One since

    f2(x1) = f2(x2)

On canceling like terms
  x1 = x2

f2 is onto since for every element x∈R there exists an element y∈ R such that

    f(x) = y.

f2 is a bijection.
   
4.

Find the inverse functions (if they exist) of the following.

     
 
a.
f: R→ R f | x | = 2x2-1
 
 
 
b.
f: R- {3} →R - {1} defined by f(x) =
     
  Solutions:
     
 
a.
f: R→ R f (x) = 2x2-1
f is not One–One as

           f(-1) = 2 - 1

                  = 1

             f(1) = 2 - 1

                   = 1

So         f(-1) = f(1)

But -1 ≠1

f-1 does not exist.
   
 
b.
f: R- {3} →R - {1} defined by f(x) =
     f is One–One

     f is onto

      f-1 exists.

let   y =f(x)=
y =
y(x-3) =
 (x + 3)
yx-3y=
x+3
yx - x =
 3 + 3
x(y-1) =
 3(y+1)
       x =
x=f--1(y) =
Or f--1(x) =