Polynomials

From Karnataka Open Educational Resources

Usage

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Concept Map

Error: Mind Map file Multiplication.mm not found


Textbook

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NCERT Books

Class IX Chapter Polynomials

Tamilnadu Text Books

Class IX text book

Additional Information

Useful websites

multipying polynomials with tabular method is explained in a very simple manner which could help you in classroom teching

Maths is fun website here you can understand polynomial in easy way

Reference Books

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

Notes for teachers

Activity No #1

Multiplying Polynomials Using Algebra Tiles

  • Estimated Time

15 to 20 minutes

  • 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 in above video :

(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

Notes for teachers

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

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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

Hints for difficult problems

Project Ideas

Math Fun