# Textbook

## 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.

# Teaching Outlines

## Concept #1 Monomial expressions

### Learning objectives

To introduce expressions and the need and method of splitting

### Activities

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

### 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

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 $x^{3}+6x^{2}+{\frac {6}{x^{2}}}-{\frac {1}{x^{3}}}=184$ # ====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=============


# Math Fun

Usage

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