Difference between revisions of "Factorisation"

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= Hints for difficult problems =
 
= 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 : =
  
 
= Project Ideas =
 
= Project Ideas =

Revision as of 06:32, 15 February 2014

The Story of Mathematics

Philosophy of Mathematics

Teaching of Mathematics

Curriculum and Syllabus

Topics in School Mathematics

Textbooks

Question Bank

While creating a resource page, please click here for a resource creation checklist.

Concept Map

Error: Mind Map file Factorisation of Polynomials.mm not found




Textbook

To add textbook links, please follow these instructions to: (Click to create the subpage)

Additional Information

Useful websites

  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

Activity No #

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

Activity No #2 Demonstrate Binomial Cube

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

montessori_binomial_cube_1.jpg

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

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


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 : =

Project Ideas

Math Fun

Usage

Create a new page and type {{subst:Math-Content}} to use this template