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Polynomials (view source)

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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===
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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]
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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]
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[http://www.mathsisfun.com/algebra/polynomials.html/ Maths is fun website here you can understand polynomial in easy way]
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[http://www.mathsisfun.com/algebra/polynomials.html Maths is fun website here you can understand polynomial in easy way]
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==Reference Books==
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===Reference Books===
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=== Resources ===
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==== Resource Title ====
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[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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==== Description ====
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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 =
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2. Can find the product of any two Polynomials by formal multiplication
 
2. Can find the product of any two Polynomials by formal multiplication
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===Notes for teachers===
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===Activities ===
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#Activity #1 - [http://karnatakaeducation.org.in/KOER/en/index.php/Multiplication_of_Polynomials_Activity_1 Multiplying Polynomials Using Algebra Tiles]
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#Activity #2 - [http://karnatakaeducation.org.in/KOER/en/index.php/Multiplication_of_Polynomials_Activity_2 Multiplying Polynomials Using Tabular method]
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==Concept #2==
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===Learning objectives===
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1. Can find the product of binomials using special Identities
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2. Can prove some of the important Identities
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3. can expand binomial terms using the Identities
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4. Solve problems under Identities
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5. can prove some of the important conditional Identities
 
===Notes for teachers===
 
===Notes for teachers===
    
===Activity No #1 ===
 
===Activity No #1 ===
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'''Multiplying Polynomials Using Algebra Tiles'''  
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Verification the Identity (a+b)(a-b) = a2-b2
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{| style="height:10px; float:right; align:center;"
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|<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;">
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''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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|}
 
*Estimated Time
 
*Estimated Time
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10 to 15 minutes
 
*Materials/ Resources needed
 
*Materials/ Resources needed
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1. Algebra Tiles activity sheet ,  
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Laptop, Projector, Geogebra Software
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2. Algebra tiles
   
*Prerequisites/Instructions, if any
 
*Prerequisites/Instructions, if any
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Knowledge Of the terms monomial, binomial, trinomial, polynomial, term, degree, base, exponent, coefficient
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Should know the multiplication of Integers
 
*Multimedia resources
 
*Multimedia resources
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{{#widget:YouTube|id=2FbEEgGq46o}}
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*Website interactives/ links/ / Geogebra Applets
 
*Website interactives/ links/ / Geogebra Applets
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*Process/ Developmental Questions
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<ggb_applet width="400" height="300" version="4.0"
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1. Demonstrate multiplying polynomials using algebra tiles, as shown below:
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===Activity No # ===
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(x x 1)(x + 6) = x2 + 7x + 6
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{| style="height:10px; float:right; align:center;"
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|<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;">
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''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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2. Distribute algebra tiles and copies of the Multiplying Polynomials Using Algebra Tiles
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|}
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      activity sheet. Instruct students to model each expression with the tiles, draw the model,
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                                                              simplify the expression, and write the simplified answer.
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*Evaluation
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o Draw a model of the multiplication of two binomials. Simplify your expression.
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o Explain why (2x)(3x) = 6x and not 6x.  
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*Question Corner
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===Activity No #2 ===
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'''Multiplying Polynomials Using Tabular method'''
   
*Estimated Time
 
*Estimated Time
 
*Materials/ Resources needed
 
*Materials/ Resources needed
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Whiteboard, marker pens
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*Prerequisites/Instructions, if any
 
*Prerequisites/Instructions, if any
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Knowledge Of the terms monomial, binomial, trinomial, polynomial, term, degree, base, exponent, coefficient
   
*Multimedia resources
 
*Multimedia resources
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{{#widget:YouTube|id=XYP8oPVdrZw}}
   
*Website interactives/ links/ / Geogebra Applets
 
*Website interactives/ links/ / Geogebra Applets
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*Process/ Developmental Questions
 
*Process/ Developmental Questions
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1. Demonstrate multiplying polynomials using tabular method
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(x x 1)(x + 6) = x2 + 7x + 6
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2. Distribute  copies of the Multiplying Polynomials Using Tabular method
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  activity sheet. Instruct students to model each expression with the tabular method , draw the table,
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  simplify the expression, and write the simplified answer.
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*Evaluation
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What is the product of (2x+3y)^2
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*Question Corner
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==Concept #2==
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===Learning objectives===
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===Notes for teachers===
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===Activity No #1 ===
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*Evaluation
 
*Evaluation
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*Question Corner
 
*Question Corner
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===Activity No #2 ===
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*Evaluation
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*Question Corner
 
*Question Corner
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*Process/ Developmental Questions
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*Evaluation
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*Question Corner
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=Hints for difficult problems=
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= Hints for difficult problems =
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=Project Ideas=
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= Project Ideas =
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=Math Fun=
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= Math Fun =
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[[Category:Class 10]]
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[[Category:Class 9]]
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[[Category:Algebraic expressions]]
Retrieved from "https://karnatakaeducation.org.in/KOER/en/index.php/Special:MobileDiff/5245...32670"