remainder theorem

Let us learn about remainder theorem

The Remainder Theorem is very useful for calculating, evaluating polynomials at a given value of x, though it might not seem so, at least at 1st blush. This is mainly because the tool is presented as a theorem with a proof & you probably don't feel ready for proofs at this stage in student’s studies. Fortunately, student doesn’t "have" to understand the proof of the Theorem; they just need to understand how to use the remainder theorem. If f(x) is a polynomial in x & it is divided by x-a; the remainder is the value of f(x) at x = a i.e., Remainder = f (a).

Proof of remainder theorem:

Let p(x) be a polynomial divided by (x-a).

Let q(x) is the quotient and R is the remainder.

By division algorithm, Dividend = (Divisor x quotient) + Remainder

P(x) = q(x). (x-a) + R

Substitute x = a,

P (a) = q (a) (a-a) + R

P (a) = R (a - a = 0, 0 - q (a) = 0)

Hence Remainder = p (a).

In our next blog we shall learn about associate connection I hope the above explanation was useful.Keep reading and leave your comments.

Ratio examples

Let us find Ratio examples.

A ratio is a relationship between 2 numbers of the same kind i.e., objects, spoonfuls, units of whatever identical dimension, persons, students, usually expressed as "a to b" or a:b, sometimes expressed arithmetically as a dimensionless quotient of the 2, which explicitly indicates how many times the first number contains the second.

The ratio between 2 quantities is 3:7. If first quantity is 15, find the second one.

Let the second quantity be x.
Thus 3:7 = 15:x
Since Product of Extremes = Product of Means
3x = 15*7
=> x = 15/3*7
= 5*7
= 35

In our next blog we shall learn about midpoint theorem I hope the above explanation was useful.Keep reading and leave your comments.

general knowledge

Let us learn about general knowledge & primary resources maths

As easy as ICT
Information & Communication Technology ICT might sound a bit daunting, particularly when the aim & goal is to link it with tutoring mathematics at primary level. However, when put into the context of CD-ROMs, DVDs, & PlayStations, web pages & touch-screen ticket machines — all of which come under the ICT umbrella — perhaps some creative thinking can come out of the different types of resources & software that can be used to solve various mathematics subject problems. ICT at primary level should basically cover 5 main areas:

• learning from expert’s feedback
• observing patterns & extracting ideas
• exploring data
• tutoring the computer through pupil-designed activities
• developing & Improving visual imagery

At Ysgol Frongoch a primary school in North Wales, tutor David Baugh organized a school trip in which student visited a quarry as part of a project to look at the impact of human beings on the environment. Once back at school they developed an online spreadsheet to reflect the consequence. 'When student are actively engaged in the creation process', explains David, 'their ability to gather, manipulate & present information becomes second nature'.
Many multimedia resources are freely available for students, although for Government-funded nursery, primary & secondary schools, money is set aside for equipment in the form of Electronic Learning Credits eLCs. This can cover resources like digital videos & software. The British Educational & Communications & Technology Agency BECTA offers free publications & downloads aimed at helping teachers & teaching assistants at primary & secondary level on some of the best ways to use ICT in the classroom.
Linking ICT with mathematics subject or any other subject can develop students' interest & understanding of ICT in a way that straightforward use of PCs might limit. Special calculators can be applied with overhead projectors to teach student the basic key functions as an addition to their methods of using jottings or mental mathematics subject to find solutions to problems.
Electronic whiteboards also mean that tutors can be at the centre of things & can ask pupils to flash the results of a mathematics student’s problem up onto the board from their keypads. This allows the whole class to be at the same point of a lesson & to discuss their methods & outcomes. This is especially effective when playing number games with shapes & patterns or designing a graph by using collected data as student can relate the visual outcome of each exercise with the solutions to the problems they have tackled.
In our next blog we shall learn about free online tutoring I hope the above explanation was useful.Keep reading and leave your comments.

add fractions

Let us learn about add fractions

There are 3 easy Steps to add fractions:

• Make sure the bottom numbers which is called as denominators are the same
• Add the top numbers the numerators. Put the solution over the same denominator.
• Simplify the fraction if needed.

Fractions consist of 2 numbers. The top number is said to as the numerator. The bottom number is said to be as denominator.
Numerator
denominator
To add 2 fractions with the same denominator, add the numerators & place that sum over the common denominator.
In our next blog we shall learn about how to add fractions I hope the above explanation was useful.Keep reading and leave your comments.

time table chart

Let us learn importance of time table chart

A timetable or schedule is a planned or an organized list, which is usually set out in tabular form, providing information about a series of arranged events: in particular, the time at which it is planned these events will take place.

A school timetable is a table for coordinating these 4 elements:

Students, tutors, classrooms, time slots also called periods

Timetable is the easy method or way to list the amount of hours that student have scheduled. Timetable makes it simple to track & bill for your time without keeping a second record outside of learner’s calendar. Students can find trends in their calendars by searching the details of their events & viewing the average, maximum & minimum times that they have spent.

Each school term I put together a student’s timetable. The aim of the student’s timetable is to:

Show the students what their week’s activities are & allow students to take responsibility for having the right equipment on the right days.

To familiarize the preschoolers & early readers with their names, days of the week & other commonly used words & a reminder for parents about what activities they can play with the toddler & preschooler.

The student’s timetable is a very basic document created in Microsoft Word. I like to photocopy this on to A3 size paper & then placing it in a prominent place, making it easy for the student to read.
This term I have refined my process slightly & created 2 timetables:

1. School student – purely text based as both students can read the timetable.
2. Early Learner, Reader & Preschooler – key text & picture based, so they can begin to make connections between the picture & the text.
3. 
   

In our next blog we shall learn about multiplication tables chart I hope the above explanation was useful.Keep reading and leave your comments.

equivalent fractions calculator

Let us learn about equivalent fractions calculator


The easiest method to work with math fractions is to use an equivalent fractions calculator. It's a great help & an idea to validate your own calculations.
You can solve including improper fractions, fraction problems, mixed numbers and whole numbers by using equivalent fractions calculator
Properties on Equivalent Fractions Calculator are as follows
This is one of the most important rules used which dealing with a equivalent fractions calculator
The numerator of fraction & the bottom of a fraction must always be the whole number.
The number you choose to divide must be always divided evenly for both bottom and the top numbers.
You have to divide or multiply only, never subtract or add, to get an equivalent fraction
Important things to kept in mind while comparing fractions:

When the denominator is the similar, the bigger fraction is the fraction with the bigger numerator.

The best example, 4/3 is bigger than 2/3

When the numerator is the similar, the bigger fraction is the 1 with the smaller denominator.

The best example, 6/2 is bigger than 6/3

If the denominators or the numerators are not the similar, just look for equivalent fractions with the same denominator. Then, compare the numerators

The best example, compare 3/4 and 2/3

An equivalent fraction for 3/4 is 9/12

An equivalent fraction for 2/3 which has a denominator of 12 is 8/12

Hence 8/12 is smaller 9/12, 2/3 is smaller than 3/4
In our next blog we shall learn about Prime Factorization calculator I hope the above explanation was useful.Keep reading and leave your comments.

Standard form calculator

Let us learn about Standard form calculator


Form of a numbers into expression method is called as Standard form

for example, 3000
3000 = 3x10^3

Standard form calculator is mostly used in because the calculator has less space in display & Standard form calculator is an easy method to make a value in calculator. By using EXP expression command is used in standard form calculator.

Evaluate 0.000 01 3 in standard form
Standard form equation
Given: 0.000 01 3
0.000 01 3 = 1.3 × 10^5
It’s 10^5 are moved to 5 decimal places to the left to get the number to be 1.3
Linear equation, polynomials, quadratic equation, is different forms of Standard form equation

In our next blog we shall learn about algebra linear equations I hope the above explanation was useful.Keep reading and leave your comments.