Polynomial – when n is a positive integer ,the expression a0xn + a1xn-1 + a2xn-2 +…+ an is called a polynomial in x where a0 , a1 , a2 ,….an are constants.
Degree of polynomial – the degree of a polynomial is the highest of the degrees of the polynomial’s monomials with non-zero coefficients.
Rational fraction – an expression of the form P(x)/Q(x) , Where P(x) and Q(x) are polynomial in x.
Proper fraction – If the degree of P(x) is less than that of Q(x) then P(x)/Q(x) is called as a Proper fraction.
Improper fraction – If degree of P(x) is greater than or equal to Q(x) , then P(x)/Q(x) is called an improper fraction.
Saitech has introduced an innovative Student Learning Journal Dashboard with google studio support. Parents and students can track the learning activities for every session at Saitech. This will improve the performance of any learner if the learning journal entries are properly updated. This kind of differential approach in learning activity will also help the students to manage their study time more effectively!! Parents are advised to follow the Learning journal everyday and avoid big surprising marks of your wards on open day at School!
Follow KUDOS Method to solve problems in Maths, Physics and Chemistry.
K = Known (given data or details in the problem)
U = Unknown (What is asked in the problem?)
D = Description (Formula or equation needed to solve the problem; this is the main tool.)
O = Output (Rearrange the formula based on the question asked in the problem and substitute the given values to obtain the output.)
S = Substantiation (Justify the result obtained with suitable significant number and appropriate unit.)
Sample Problem in Physics
A block of wood is kept on a table. The mass of block is 5 kg and dimensions are 40 cm x 20 cm x 10 cm. Find the pressure exerted by the wooden block in the given figure.
Reputation is not achieved by repetition; it is achieved by innovation. Innovation is derived from imagination rather than from knowledge.
Albert Einstein used concept maps and mind maps for most of his research work. A principal from Pune has discovered that the team of students who prepared for examination based on the concept maps had scored more marks than that of others who skipped concept maps.
Albert Einstein used concept maps and mind maps for most of his research work. A principal from Pune has discovered that the team of students who prepared for examination based on the concept maps had scored more marks than that of others who skipped concept maps.
When we explore our brain, there are two important parts, viz., left and right parts of the brain. Left brain is always dominated by words, numbers, lists, logic and analysis. The right brain is dominated by colours, day dreaming, three dimensional visualisation, rhythm and imagination. Day dreamers’ brains are dominated by right part of the brain.
What is concept map?
A concept map is a visual representation of relationship between some key points or concepts or ideas. They are suitably linked by certain lines and arrows with different styles for better understanding and keeping the key terms in memory. The concept map or mind map may look like flowchart.
Concept map and mind map may look similar. Yet, concept map has lot of inerlinking whereas mind map may be radial representation without multiple inter-linking of key terms.
Concept Map
Mind Map
Expressions are user friendly.
Nodes in graphical form
Node represents a concept with a few words. Concepts are related by labelled links.
Links are not labelled.
Nodes or concepts are interlinked.
Nodes are not interlinked.
Useful in teaching, learning, solving problem, and decision making.
Useful in brain storming sessions
Mind map was discovered by Tony Busan. He applied this technicque in various fields including in household activities, event management, personality development etc.
Some practical tips are illustrated below for developing mind mapping.
Lord Vinayagar was the first Script writer who wrote Mahabharatha narrated by Saint Vyasa!! Writing facilitates a seamless connection between book and brain.
First level Scribbling notes while listening
Primary notes in Cornell Notes format (Refer Saitech Lifetime Integrated Study Notes) – to prepare while studying reference and text books. This is prepared for complete understanding of the concepts.
Secondary notes – should be nut in shell form for memorising and for frequent references.
First Level Classroom Scribbling Notes
Take down first level scribbling notes during classroom lectures or listening to video/audio lectures.
Take small size notebook for scribbling.
Focus on main points.
Do not worry about skipped or missing points.
Keep on listening.
Do not write complete sentences.
Use lot of abbreviations and symbols familiar to you.
If it is video or audio lecture, pause or replay to complete yournotes.
If it is classroom notes, discuss the missing points with your classmates at the end of the session or directly approach your faculty.
Convert the scribbling notes into primary notes along with additional references.
