# Polynomials

Usage

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

# Concept Map

Error: Mind Map file `Multiplication.mm` not found

# Teaching Outlines

## Concept #1

### Learning objectives

1. Can multiply Polynomial by monomial, binomial and Trinomial

2. Can find the product of any two Polynomials by formal multiplication

### Activity No #1

Multiplying Polynomials Using Algebra Tiles

• Estimated Time
• Materials/ Resources needed

1. Algebra Tiles activity sheet , 2. Algebra tiles

• Prerequisites/Instructions, if any

Knowledge Of the terms monomial, binomial, trinomial, polynomial, term, degree, base, exponent, coefficient

• Multimedia resources

• Website interactives/ links/ / Geogebra Applets
• Process/ Developmental Questions

1. Demonstrate multiplying polynomials using algebra tiles, as shown below:

(x x 1)(x + 6) = x2 + 7x + 6

2. Distribute algebra tiles and copies of the Multiplying Polynomials Using Algebra Tiles activity sheet. Instruct students to model each expression with the tiles, draw the model,

```                                                              simplify the expression, and write the simplified answer.
```
• Evaluation

o Draw a model of the multiplication of two binomials. Simplify your expression.

o Explain why (2x)(3x) = 6x and not 6x.

• Question Corner

### Activity No #2

Multiplying Polynomials Using Tabular method

• Estimated Time
• Materials/ Resources needed

Whiteboard, marker pens

• Prerequisites/Instructions, if any

Knowledge Of the terms monomial, binomial, trinomial, polynomial, term, degree, base, exponent, coefficient

• Multimedia resources

• Website interactives/ links/ / Geogebra Applets
• Process/ Developmental Questions

1. Demonstrate multiplying polynomials using tabular method

(x x 1)(x + 6) = x2 + 7x + 6

2. Distribute copies of the Multiplying Polynomials Using Tabular method

```  activity sheet. Instruct students to model each expression with the tabular method , draw the table,
simplify the expression, and write the simplified answer.
```
• Evaluation

What is the product of (2x+3y)^2

• Question Corner

## Concept #2

### Learning objectives

1. Can find the product of binomials using special Identities 2. Can prove some of the important Identities 3. can expand binomial terms using the Identities 4. Solve problems under Identities 5. can prove some of the important conditional Identities

### Activity No #1

Verification the Identity (a+b)(a-b) = a2-b2

• Estimated Time

10 to 15 minutes

• Materials/ Resources needed

Laptop, Projector, Geogebra Software

• Prerequisites/Instructions, if any
```Should know the multiplication of Integers
```
• Multimedia resources
• Website interactives/ links/ / Geogebra Applets

• Process/ Developmental Questions

What is Identity? Does the Identity holds good for all the values of variables?

• Evaluation

What Identity to be used to multiply (3x+2)(3x-2)

• 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
• Question Corner