Latest revision as of 06:50, 12 November 2019

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

Activity #1 - Multiplying Polynomials Using Algebra Tiles
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

Click to Comment

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" 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

Activity No #

Click to Comment

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

@@ Line 1: / Line 1: @@
-'''Usage'''
+<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;">
+''[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'''].
-Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
-Please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].
 = Concept Map =
-<mm>[[Multiplication.mm|Flash]]</mm>
+[[File:Multiplication.mm|Flash]]
-= Textbook =
+= Karnataka State Textbook =
-To add textbook links, please follow these instructions to:
+[http://karnatakaeducation.org.in/KOER/en/index.php/Text_Books_State_Mathematics Chapter 2- Polynomials]
-([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage])
-==NCERT Books==
+==NCERT Text Book==
-[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books_NCERT_Mathematics/ Class IX Chapter Polynomials]
+[http://karnatakaeducation.org.in/KOER/en/index.php/Text_Books_NCERT_Mathematics/ Chapter 2- Polynomials]
 ==Tamilnadu Text Books==
 [http://www.textbooksonline.tn.nic.in/Books/Std09/Std09-I-Maths-KM.pdf/ Class IX text book]
-=Additional Information=
+==Additional Information==
-==Useful websites==
+===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]
+[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 ===
-[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]
-==Reference Books==
+==== 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 =
@@ Line 35: / Line 39: @@
 ===Notes for teachers===
-===Activity No #1 ===
+===Activities ===
-'''Multiplying Polynomials Using Algebra Tiles'''
+#Activity #1 - [http://karnatakaeducation.org.in/KOER/en/index.php/Multiplication_of_Polynomials_Activity_1 Multiplying Polynomials Using Algebra Tiles]
-*Estimated Time
+#Activity #2 - [http://karnatakaeducation.org.in/KOER/en/index.php/Multiplication_of_Polynomials_Activity_2 Multiplying Polynomials Using Tabular method]
-*Materials/ Resources needed
-. Algebra Tiles activity sheet ,
-. Algebra tiles
-*Prerequisites/Instructions, if any
-Knowledge Of the terms monomial, binomial, trinomial, polynomial, term, degree, base, exponent, coefficient
-*Multimedia resources
-{{#widget:YouTube|id=2FbEEgGq46o}}
-*Website interactives/ links/ / Geogebra Applets
-*Process/ Developmental Questions
-. Demonstrate multiplying polynomials using algebra tiles, as shown below:
-	(x x 1)(x + 6) = x2 + 7x + 6
-. 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
-{{#widget:YouTube|id=XYP8oPVdrZw}}
-*Website interactives/ links/ / Geogebra Applets
-*Process/ Developmental Questions
-. Demonstrate multiplying polynomials using tabular method
-						(x x 1)(x + 6) = x2 + 7x + 6
-. 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==
@@ Line 102: / Line 56: @@
 {| 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://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
+''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 |}
 *Estimated Time
@@ Line 109: / Line 63: @@
 Laptop, Projector, Geogebra Software
 *Prerequisites/Instructions, if any
- Should know the multiplication of Integers
+Should know the multiplication of Integers
 *Multimedia resources
 *Website interactives/ links/ / Geogebra Applets
-<ggb_applet width="1366" height="568" version="4.0" ggbBase64="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enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="false" showMenuBar="false" showToolBar="false" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="false" />
+<ggb_applet width="400" height="300" version="4.0"
-*Process/ Developmental Questions
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-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 # ===
 {| 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://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
+''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 |}
 *Estimated Time
@@ Line 138: / Line 85: @@
 *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]]

Difference between revisions of "Polynomials"

Latest revision as of 06:50, 12 November 2019

Contents

Concept Map

Karnataka State Textbook

NCERT Text Book

Tamilnadu Text Books

Additional Information

Useful websites

Reference Books

Resources

Resource Title

Description

Teaching Outlines

Concept #1

Learning objectives

Notes for teachers

Activities

Concept #2

Learning objectives

Notes for teachers

Activity No #1

Activity No #

Hints for difficult problems

Project Ideas

Math Fun

Navigation menu

Search