# User:Ranjani

Philosophy of Mathematics |

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# Concept Map

# Textbook

Please click here for Karnataka and other text books.

# Additional Information

## Useful websites

- Useful number pattern activities| Useful number pattern activities
- To get the videos on polynomials in Kannadaclick here this is shared by Yakub koyyur, GHS Nada.

## Reference Books

# Teaching Outlines

## Concept #1 Basics of polynomial

### Learning objectives

- Defining of a Polynomial
- What is an expression?
- Constants, Variables and Exponenets

### Notes for teachers

*why cant the exponent be a negetive integer? *
*because An expression cannot be divided by a variable*

### Activities

- Activity No #1 .Introduction to Polynomials
- Activity No #2
**Concept Name - Activity No.**

## Concept 2 Types of Polynomials

### Learning objectives

- defining monomial, binomial, trinomial and polynomial

### Notes for teachers

*These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.*

### Activities

- Activity No #1 Types of polynomals 1
- Activity No #2 Types of polynomals2

## Concept 3 Operation on polynomial

### Learning objectives

- Additon of polynomial
- Substraction of a Polynomial
- Multiplication of a polynomial
- Product of Monomial and a Binomial
- Product of two binomial
- finding product of binomial as Idenitity
- Expansion of Polynomial using Identities

- Divison of a polynomial
- division algoritham for polynomial
- Zeroes of a Polynomial
- division of a polynomial by linear polynomial
- Remainder theorem
- Factor theorem
- Syntheic divsion

- division of a polynomial by polynomial using long division method

### Notes for teachers

*why cant the exponent be a negetive integer? *
*because An expression cannot be divided by a variable*

### Activities

- Activity No #1 .verifying Zeroes of aQuadratic polynomial using Geogebra Applet
- Activity No #2
**Concept Name - Activity No.**

## Concept 4 Degree of a polynomial

- this video helps to know the degree of polynomial

### Learning objectives

- Degree of polynomial with one variable
- constant polynomial
- Linear polynomial
- Quadratic polynomial
- Cubic Polynomial
- Quatric polynomial

### Notes for teachers

*These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.*

### Activities

- Activity No #1
**Concept Name - Activity No.** - Activity No #2
**Concept Name - Activity No.**

### Notes for teachers

*These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.*

### Activities

- Activity No #1
**Concept Name - Activity No.** - Activity No #2
**Concept Name - Activity No.**

# Assessment activities for CCE

Evaluates the zero of a polynomial by graphical representation

# Hints for difficult problems

'''Solution for the Problems of Chapter 8-Polynomials 10 STD'''