Difference between revisions of "Polynomials"

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'''Usage'''  
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<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#ffffff; vertical-align:top; text-align:center; padding:5px;">
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''[http://karnatakaeducation.org.in/KOER/index.php/ಬಹುಪದ_ಬೀಜೋಕ್ತಿಗಳ_ಗುಣಾಕಾರ ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''</div>Please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].
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Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
 
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Please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].
 
  
 
= Concept Map =
 
= Concept Map =
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<mm>[[Multiplication.mm|Flash]]</mm>
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[[File:Multiplication.mm|Flash]]
  
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= Textbook =
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= Karnataka State Textbook =
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To add textbook links, please follow these instructions to:
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[http://karnatakaeducation.org.in/KOER/en/index.php/Text_Books_State_Mathematics Chapter 2- Polynomials]
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([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage])
 
  
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==NCERT Books==
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==NCERT Text Book==
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books_NCERT_Mathematics/ Class IX Chapter Polynomials]
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[http://karnatakaeducation.org.in/KOER/en/index.php/Text_Books_NCERT_Mathematics/ Chapter 2- Polynomials]
  
 
==Tamilnadu Text Books==
 
==Tamilnadu Text Books==
 
[http://www.textbooksonline.tn.nic.in/Books/Std09/Std09-I-Maths-KM.pdf/ Class IX text book]
 
[http://www.textbooksonline.tn.nic.in/Books/Std09/Std09-I-Maths-KM.pdf/ Class IX text book]
  
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=Additional Information=
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==Additional Information==
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==Useful websites==
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===Useful websites===
−
[http://www.onlinemathlearning.com/multiplying-polynomials-techniques.html/ multipying polynomials with tabular method is explained in a very simple manner which could help you in classroom teching]
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[http://www.onlinemathlearning.com/multiplying-polynomials-techniques.html multipying polynomials with tabular method is explained in a very simple manner which could help you in classroom teching]
 +
 
 +
[http://www.mathsisfun.com/algebra/polynomials.html Maths is fun website here you can understand polynomial in easy way]
 +
 
 +
===Reference Books===
 +
 
 +
=== Resources ===
  
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[http://www.mathsisfun.com/algebra/polynomials.html/ Maths is fun website here you can understand polynomial in easy way]
+
==== Resource Title ====
 +
[http://www.learnalberta.ca/content/mejhm/index.html?l=0&ID1=AB.MATH.JR.PATT&ID2=AB.MATH.JR.PATT.POLY Polynomials]
  
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==Reference Books==
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==== Description ====
 +
This multimedia mathematics resource features a video that illustrates how parabolas and polynomial equations are used to study the flight path of objects. Using an interactive component, students explore and compare the flight paths and equations of a football, a mountain bike, and a skateboard. A polynomials print activity is provided.
  
 
= Teaching Outlines =
 
= Teaching Outlines =
Line 31: Line 35:
 
===Learning objectives===
 
===Learning objectives===
 
1. Can multiply Polynomial by monomial, binomial and Trinomial
 
1. Can multiply Polynomial by monomial, binomial and Trinomial
 +
 
2. Can find the product of any two Polynomials by formal multiplication
 
2. Can find the product of any two Polynomials by formal multiplication
 +
===Notes for teachers===
 +
 +
===Activities ===
 +
#Activity #1 - [http://karnatakaeducation.org.in/KOER/en/index.php/Multiplication_of_Polynomials_Activity_1 Multiplying Polynomials Using Algebra Tiles]
 +
#Activity #2 - [http://karnatakaeducation.org.in/KOER/en/index.php/Multiplication_of_Polynomials_Activity_2 Multiplying Polynomials Using Tabular method]
 +
 +
==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===
 
===Notes for teachers===
  
 
===Activity No #1 ===
 
===Activity No #1 ===
 +
Verification the Identity (a+b)(a-b) = a2-b2
 +
{| style="height:10px; float:right; align:center;"
 +
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
 +
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 +
|}
 +
*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
 +
<ggb_applet width="400" height="300" version="4.0"
 +
ggbBase64="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<ggb_applet width="1366" height="568" version="4.0" GnS9xY0QWFxdlYGBA1tbW0r+3srKS3nuwlV2sfPnylQlaJ9DFCtTFisfj6c+lpSVZXl6W2dlZ/kqAIMxiAYKUsSCrNzLhGg80dXkPlr1muQBBqk6Qh1sy4TW7ZA6uGzs2Btb2TFdtWybU8d2PIg6CVJEgH17IhDm75BJEfeo8u18WubUuVxDuLAjCGAQQBEEAQRAEAEHyXoz12arbdvnnqT8crC6vYzuP+Z92QJCyF8QcYHutx1K0v5FdTufTM1dqDZUtiLmuSsfQuMjhBI0QQSpMEHsmy56VirVulLHzKdQaKlsQva7KrG/nQZGvf6ARVoQgpztE+g75x8jOHhk7tDdcvPiIdMmZvBGXD/hrQPkKogQYTfjH+La+zOq7EDEVa+YqA4IgCCBIlQtS6h2Feixi5jFnyex0M82cATPT7P/+B6k7TL2RFEQ9kTuMINfPfiOftnbKpc4TMvx8e5YQfw6NVawgpd5RqD91HnuWzEzXodPMGTD7N8LWbX7PV28kBZmZmQl9B7l8vE
 +
===Activity No # ===
 +
{| style="height:10px; float:right; align:center;"
 +
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
 +
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 +
|}
 
*Estimated Time
 
*Estimated Time
 
*Materials/ Resources needed
 
*Materials/ Resources needed
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1. Algebra Tiles activity sheet ,
 
−
2. Algebra tiles
 
 
*Prerequisites/Instructions, if any
 
*Prerequisites/Instructions, if any
−
Knowledge Of the terms monomial, binomial, trinomial, polynomial, term, degree, base, exponent, coefficient
 
 
*Multimedia resources
 
*Multimedia resources
−
{{#widget:YouTube|id=2FbEEgGq46o}}
 
 
*Website interactives/ links/ / Geogebra Applets
 
*Website interactives/ links/ / Geogebra Applets
 
*Process/ Developmental Questions
 
*Process/ Developmental Questions
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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
 
*Evaluation
−
o Draw a model of the multiplication of two binomials. Simplify your expression.
+
*Question Corner
  
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o Explain why (2x)(3x) = 6x and not 6x.
 
−
 
 
*Question Corner
 
*Question Corner
  
−
= Hints for difficult problems =
 
  
−
= Project Ideas =
+
=Hints for difficult problems=
 +
 
 +
=Project Ideas=
 +
 
 +
=Math Fun=
  
−
= Math Fun =
+
[[Category:Class 10]]
 +
[[Category:Class 9]]
 +
[[Category:Algebraic expressions]]

Latest revision as of 06:50, 12 November 2019

ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ

Please click here for a resource creation checklist.

Concept Map

[maximize]

Karnataka State Textbook

Chapter 2- Polynomials

NCERT Text Book

Chapter 2- 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

Resources

Resource Title

Polynomials

Description

This multimedia mathematics resource features a video that illustrates how parabolas and polynomial equations are used to study the flight path of objects. Using an interactive component, students explore and compare the flight paths and equations of a football, a mountain bike, and a skateboard. A polynomials print activity is provided.

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

Activities

  1. Activity #1 - Multiplying Polynomials Using Algebra Tiles
  2. Activity #2 - Multiplying Polynomials Using Tabular method

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

<ggb_applet width="400" height="300" version="4.0" ggbBase64="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<ggb_applet width="1366" height="568" version="4.0" GnS9xY0QWFxdlYGBA1tbW0r+3srKS3nuwlV2sfPnylQlaJ9DFCtTFisfj6c+lpSVZXl6W2dlZ/kqAIMxiAYKUsSCrNzLhGg80dXkPlr1muQBBqk6Qh1sy4TW7ZA6uGzs2Btb2TFdtWybU8d2PIg6CVJEgH17IhDm75BJEfeo8u18WubUuVxDuLAjCGAQQBEEAQRAEAEHyXoz12arbdvnnqT8crC6vYzuP+Z92QJCyF8QcYHutx1K0v5FdTufTM1dqDZUtiLmuSsfQuMjhBI0QQSpMEHsmy56VirVulLHzKdQaKlsQva7KrG/nQZGvf6ARVoQgpztE+g75x8jOHhk7tDdcvPiIdMmZvBGXD/hrQPkKogQYTfjH+La+zOq7EDEVa+YqA4IgCCBIlQtS6h2Feixi5jFnyex0M82cATPT7P/+B6k7TL2RFEQ9kTuMINfPfiOftnbKpc4TMvx8e5YQfw6NVawgpd5RqD91HnuWzEzXodPMGTD7N8LWbX7PV28kBZmZmQl9B7l8vE

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

Retrieved from "https://karnatakaeducation.org.in/KOER/en/index.php?title=Polynomials&oldid=32670"