# Factorisation

Philosophy of Mathematics |

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# Concept Map

# Textbook

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# Additional Information

## Useful websites

- Question Corner

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

## Reference Books

### NCERT Books

# Teaching Outlines

## Concept #1 Monomial expressions

### Learning objectives

To introduce expressions and the need and method of splitting

### Notes for teachers

### Activities

- Activity #1
- Activity #2 Demonstrate Binomial Cube

## Concept #

### Learning objectives

### Notes for teachers

### Activity No #1 Geogebra

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

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 : =

# hints for difficult problem

If x-= 4 prove that

# ====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=============

# Project Ideas

# Math Fun

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