Ib Maths Tutors-Types of functions(part-3)

IB Maths Tutors should give a fair number of hours in teaching functions.This is my third article on functions in the series of ib mathematics

For the sake of a comprehensive discussion, some standard functions and their graphs are discussed here

For the sake of a comprehensive discussion, some standard functions and their graphs are discussed here.

1.Greatest Integer Function–  This is an interesting function. It is defined as the largest     integer less than or equal to x

                                                         y = [x].

For all real numbers, x, this function gives the largest integer less
than or equal to x.

For example:   [1] = 1      [2.5] = 2      [4.7] = 4      [5.3] = 5
Beware!    [-2] = -2      [-2.6] = -3      [-4.1] = -5      [-6.5] = -7

domain=R
range=Z

<img src="ibmathstutors.jpg" alt="ibmathstutors">

greatest integer function

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IB Tutors-useful pdfs

I am sharing few documents prepared by experienced IB Tutors

 

Below is a past year paper for ib mathematics

 

ib_elite_tutor.com

 

Below is an important worksheet for Differentiability of Functions

 

Worksheets_on_Differentiability_(22-09-15)

 

Below is an important worksheet for logarithms

 

Worksheets_on_Log

 

Below is an important worksheet for maxima and minima value of Functions

 

Worksheets_on_Maxima_&_Minima_(22-09-15)

IB Mathematics Tutors- types of mathematical function(part-1)

IB Mathematics Tutors should give a fair number of hours in teaching functions.This is my third article on functions in the series of ib mathematics

For the sake of a comprehensive discussion, some standard functions and their graphs are discussed here

For the sake of a comprehensive discussion, some standard functions and their graphs are discussed here
1.Constant Function-
                                                F(x)=k
Domain= ℝ    

                                            Range    = {k}                                       

<img src="constant-function.jpg" alt="constant-function">

constant-function

                                   
Range    = {k}

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IB Maths (Part-1)- Functions-An Introduction to functions in Mathematics

In IB Maths both HL and SL, functions are one of the most important areas of mathematics because they lie at the heart of much of mathematical analysis. The concept of function is easy to understand.
supposeIi say that:

      y=x²  

where x∈R. this says that y depends on x this can be said that y is a function of x. or

   y=f(x)

we can also say that x=√y here x depends on y or x is a function in y or

  x=f(y)  

so it can be said that a function is an operator which takes an input and gives an output.The input is called independent variable while output is called dependent variable

<img src="functions.jpg" alt="functions">

ib elite tutor explained functions

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How to Become a Good Learner in Classroom or in Online sessions

Every moment of our life offers something to learn.We should always be ready to grab the opportunity.In this post, I have tried to identify characteristics of a good learner in classroom as well as with online tutors

Positive Attitude- A positive attitude plays a very important part in improving our learning capacities.Actually, its the backbone of our learning capacities.If we believe that we can do it, we will surely be able to accomplish the work  Read more

Teaching Maths-Classroom discussions

"class room"

Teaching Mathematics is an art but there are certain factors about it that we can learn and improve our academic delivery.

Creating productive classroom discussions is one of them

Lecture method may work very well for some subjects but not all the time in  Mathematics classes.
Engaging students by constantly asking them some questions is a nice method but only when the explanation and the questions are Mathematical. Reasoning and justifying are good habits of mind but they are only productive if they are based on Mathematical theories.
Creating a productive classroom discussion is probably the most difficult part of Mathematics teaching. I suggest five methods for moving beyond Lecture methods in teaching Mathematics.
I have always tried to practice these methods in my own teaching whether with students or with teachers and I have found them very useful

1. Predict the Pupils’ Responses of Mathematics
All the teachers should know about each and every student how he/she is going to react to the instructional tasks(s) that they are asked to work on. Read more