Difference between revisions of "Introduction to equations"

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'''Usage'''
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Please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].
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|style="width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]
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|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]
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|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]
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|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]
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|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]
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|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]
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|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]
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While creating a resource page, 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>[[Introduction_to_equations.mm|Flash]]</mm>
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__FORCETOC__
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= Textbook =
 
= Textbook =
 
To add textbook links, please follow these instructions to:  
 
To add textbook links, please follow these instructions to:  
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= Teaching Outlines =
 
= Teaching Outlines =
  
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== Concept #1 Data Patterns ==
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==Concept #==
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#Recognise  a pattern in the set of data(in this class a set of coordinates)
 
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#Recognise the variation(proportion/nonproportion)
 
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#Explore  the possibility of having  different patterns
 
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#Understand that every number pattern can be represented on the graph
 
 
===Learning objectives===
 
===Learning objectives===
 
===Notes for teachers===
 
===Notes for teachers===
 
===Activity No # ===
 
===Activity No # ===
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''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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*Estimated Time
 
*Materials/ Resources needed
 
*Materials/ Resources needed
 
*Prerequisites/Instructions, if any
 
*Prerequisites/Instructions, if any
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*Question Corner
 
*Question Corner
  
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===Activity No # ===
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''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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*Estimated Time
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*Materials/ Resources needed
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*Prerequisites/Instructions, if any
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*Multimedia resources
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*Website interactives/ links/ / Geogebra Applets
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*Process/ Developmental Questions
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*Evaluation
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*Question Corner
  
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== Concept #2  : Generalizing equations from data patterns ==  
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==Concept #==
 
===Learning objectives===
 
===Learning objectives===
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#Establish/Guess the relationship between the set of coordinates
 
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#Recognise varying and constant terms
 
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#Recognise dependency of one varible with the other
 
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#Establishing the relationship between a variable and a constant
 
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#Generalise  the relationship and expressing symbolically
 
 
===Notes for teachers===
 
===Notes for teachers===
 
===Activity No # ===
 
===Activity No # ===
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''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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*Estimated Time
 
*Materials/ Resources needed
 
*Materials/ Resources needed
 
*Prerequisites/Instructions, if any
 
*Prerequisites/Instructions, if any
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*Question Corner
 
*Question Corner
  
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== Concept #3 : Form of a linear equation ==
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===Activity No # ===
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===Learning objectives===
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#Analyzing a linear equation
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===Notes for teachers===
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''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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Note for the Teachers
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# Every Linear Equation represents a straightline .If the relationship(pattern)between two quantities can be represented as straightline then the relationship is in the form of linear equation
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*Estimated Time
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# A teacher can develop a lesson on Linear Equation with Geogebra application
 
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Analysing a Linear Equation
 
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Class Interaction(with activity)
 
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===Activity No #1 Analyzing a Linear Equation ===
 
 
*Materials/ Resources needed
 
*Materials/ Resources needed
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Computer(Geogebra),projector,Blackboard
 
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(Lesson can be developed using graph sheets also)
 
 
*Prerequisites/Instructions, if any
 
*Prerequisites/Instructions, if any
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#Students have been  introduced to graph(pictographs,bargraph,Histograms..)
 
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#Students can  make  the difference (Relationship)between axes and quadrants
 
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Refer to the Teaching Outline of Introduction to Coordinates
 
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#Students are able to locate a given  point on the graph if a set of coordinates are given
 
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#Students are able to  recognise coordinates of a given point on the graph
 
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#Students can differentiate position of a point on the (NL)and also on the Quadrants
 
 
*Multimedia resources
 
*Multimedia resources
 
*Website interactives/ links/ / Geogebra Applets
 
*Website interactives/ links/ / Geogebra Applets
 
*Process/ Developmental Questions
 
*Process/ Developmental Questions
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1. Start with a Geogebra Drawing pad
 
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2. Give /ask students to give a set of coordinates
 
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You may get different patterns(assaign a group task)
 
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3. ask the students to recognise  coordinates of same  pattern
 
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4. ask them to extend the pattern to say many more coordinates following the same pattern
 
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(NOTE:Students may recognise same pattern or some may not recognise the pattern. ) 
 
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5. Ask the students visualise the points and visualise the pattern on the grap.
 
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6. Ask them to join the points (teacher can help student to join the points by using Straight line tool in Geogebra which is more meaningfull)
 
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7. This can be extended to say that
 
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Relation between the coordinates of set of points which gives/makes/results  a straightline is a Linear Equation
 
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8. Continue with some more points with line joing the points and establishing the relation ship between variables also.
 
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9. Introduction to the degree of an equation may be discussed in subsequent lessons.
 
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*Evaluation
 
*Evaluation
 
*Question Corner
 
*Question Corner
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= Hints for difficult problems =
 
= Hints for difficult problems =
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= Math Fun =
 
= Math Fun =
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'''Usage'''
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Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template

Revision as of 01:48, 2 September 2013

The Story of Mathematics

Philosophy of Mathematics

Teaching of Mathematics

Curriculum and Syllabus

Topics in School Mathematics

Textbooks

Question Bank

While creating a resource page, please click here for a resource creation checklist.

Concept Map

Textbook

To add textbook links, please follow these instructions to: (Click to create the subpage)

Additional Information

Useful websites

Reference Books

Teaching Outlines

Concept #

Learning objectives

Notes for teachers

Activity No #

  • Estimated Time
  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources
  • Website interactives/ links/ / Geogebra Applets
  • Process/ Developmental Questions
  • Evaluation
  • 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

Concept #

Learning objectives

Notes for teachers

Activity No #

  • Estimated Time
  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources
  • Website interactives/ links/ / Geogebra Applets
  • Process/ Developmental Questions
  • Evaluation
  • 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


Hints for difficult problems

Project Ideas

Math Fun

Usage

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

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