Factorisation

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ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ

The Story of Mathematics

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Additional Information

Useful websites

  • Question Corner


  1. Maths is Fun. This website contains good worksheets for factorisation.
  2. Wolfram Mathworld. This website contains good simulations for math identities.

Reference Books

NCERT Books

  1. Algebraic expressions and identities
  2. Factorisation

Teaching Outlines

Concept #1 Monomial expressions

Learning objectives

To introduce expressions and the need and method of splitting

Notes for teachers

Activities

  1. Activity #1
  2. Activity #2 Demonstrate Binomial Cube

montessori_binomial_cube_1.jpg

Concept #

Learning objectives

Notes for teachers

Activity No #1 Geogebra

  • Estimated Time
  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources

Geogebra screenshot for identities.png
This is a Geogebra screenshot for identity.

This is a classroom demonstration of binomial cube. Show the children before you start the cubic identity.

  • Website interactives/ links/ / Geogebra Applets
  • Process/ Developmental Questions
  • Evaluation
  • Question Corner

Activity No #

  • Estimated Time
  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources
  • Website interactives/ links/ / Geogebra Applets
  • Process/ Developmental Questions
  • Evaluation
  • Question Corner


  1. = Hints for difficult problems =

Question : If x= and y= find


Solution :

Analysing the given condition

Step 1 : = ()() => Using the formula : = ( )()

step 2  : = ( + )(-) => substitute the value of x and y

Step 3 : = x => take the L.C.M of the denominator , simplyfy using concept of addition and substaction of fraction

Step 4: = x simply the above using basic concepts of addition and substraction

Step 5 : = x

Step 6 := x => take common term 2 ( H.C.F)

Step 7 : = x

Step 8 : =

hints for difficult problem

If x-= 4 prove that '"`UNIQ--postMath-00000001-QINU`"'

====If x+y=a and xy=b then prove that (1+)+(1+)

Steps for solution

step 1:  * Understanding the  problem first.

* Recalling the indentities

step 2 : * consider the condition and squaring on both side * simplify to get the value

step 3: * consider LHS * multiply the expression * substitute the value * simlpify the equqtion


solution for the problem

consider x+y=a = substitute x+y =a and xy=b

then we get 
                   ------->(1)

consider xy=b squaring on both side then we get =------->(2)

consider LHS= =(1+)+(1+) =1+ = 1+ from eqn 1 & 2 = =

       LHS = RHS=============

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