Difference between revisions of "Co-ordinate geometry"

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''[http://karnatakaeducation.org.in/KOER/index.php/೧೦ನೇ_ತರಗತಿಯ_ನಕ್ಷೆ_ಮತ್ತು_ಬಹುಮುಖಘನಾಕೃತಿ ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''</div>
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]
 
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]
|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; " |[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]
 
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]
 
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]
 
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]
 
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]
 
[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'''].
 
While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].
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==Concept map==
 
==Concept map==
<mm>[[Coordinate_Geometry.mm|flash]]</mm>
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[[File:Coordinate_Geometry.mm|Flash]]  
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__FORCETOC__
  
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== Textbook ==
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#[http://www.ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter13.pdf Karnataka text book for Class 10, Chapter 13 - Co ordinate geometry]
  
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#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?iemh1=3-15 For NCERT book  Co ordinate geometry 9th Std Click Here]
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#[http://ncert.nic.in/NCERTS/textbook/textbook.htm?jemh1=7-15 For NCERT book Co ordinate geometry 10th Std Click here]
  
__FORCETOC__
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==Additional Information==
  
= Textbook =
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=== Resources ===
Please click here for Karnataka and other text books.
 
  
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==== Resource Title ====
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[http://www.mathopenref.com/coordintro.html Introduction to Co-Ordinate Geometry]
  
=Additional Information=
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===Useful websites===
==Useful websites==
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===Reference Books===
==Reference Books==
 
  
= Teaching Outlines =
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== Teaching Outlines ==
  
==Concept # 1connection between algebra and geometry through graphs of lines and curves==
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==Concept # 1 - Connection between algebra and geometry through graphs of lines and curves==
 
===Learning objectives===
 
===Learning objectives===
 +
 
===Notes for teachers===
 
===Notes for teachers===
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''
 
  
 
===Activities===
 
===Activities===
#Activity No #1 '''Concept Name - Activity No.'''
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Activity #1
#Activity No #2 '''Concept Name - Activity No.'''
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[[http://karnatakaeducation.org.in/KOER/en/index.php/Connection_between_algebra_and_geometry_through_graphs_of_lines_and_curves#Activity_1Connection between algebra and geometry through graphs of lines and curves|] ]
 
 
 
 
  
 
==Concept # 2 Trignometry==
 
==Concept # 2 Trignometry==
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===Activities===
 
===Activities===
#Activity No #1 '''Concept Name - Activity No.'''
 
#Activity No #2 '''Concept Name - Activity No.'''
 
  
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==Concept # 4 data pattern,graph,plotting==
  
==Concept # 4 data pattern,graph,plotting==
 
 
===Learning objectives===
 
===Learning objectives===
 
===Notes for teachers===
 
===Notes for teachers===
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#Activity No #1 '''Concept Name - Activity No.'''
 
#Activity No #1 '''Concept Name - Activity No.'''
 
#Activity No #2 '''Concept Name - Activity No.'''
 
#Activity No #2 '''Concept Name - Activity No.'''
 
 
  
 
==Concept # 5 Slope of a line/Gradient of a  line==
 
==Concept # 5 Slope of a line/Gradient of a  line==
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===Activities===
 
===Activities===
#Activity No #1 '''Concept Name - Activity No.'''
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#Activity No #1[[http://karnatakaeducation.org.in/KOER/en/index.php/Understanding_what_is_Slope_of_a_line understanding what is a Slope]]
#Activity No #2 '''Concept Name - Activity No.'''
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#Activity No #2[[http://karnatakaeducation.org.in/KOER/en/index.php/Slope_of_a_line#Positive_and_Negetive_Slope Positive and negetive Slope]]
 
 
 
 
 
 
 
 
  
 
==Concept # 6 Distance Formula & Section Formula==
 
==Concept # 6 Distance Formula & Section Formula==
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===Activities===
 
===Activities===
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[[http://www.mathwarehouse.com/algebra/distance_formula/interactive-distance-formula.php interactives to understand Distance formula]]
 
#Activity No #1 '''Concept Name - Activity No.'''
 
#Activity No #1 '''Concept Name - Activity No.'''
 
#Activity No #2 '''Concept Name - Activity No.'''
 
#Activity No #2 '''Concept Name - Activity No.'''
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#Activity No #1 '''Concept Name - Activity No.'''
 
#Activity No #1 '''Concept Name - Activity No.'''
 
#Activity No #2 '''Concept Name - Activity No.'''
 
#Activity No #2 '''Concept Name - Activity No.'''
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=Assessment activities for CCE=
 
=Assessment activities for CCE=
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 +
Objectives:
 +
#visualising the coordinates of a given point<br>
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#Every polynomial equation represents a graph<br>
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#Position of any object can be represented with a set of coordinates<br>
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#Visualising Slope and Intercept of a line.<br>
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#Visualising that parallel lines have same slopes<br>
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#Slope of a line is same between  any two points<br>
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'''WORKING SHEET TO BE GIVEN '''<br>
 
'''WORKING SHEET TO BE GIVEN '''<br>
 
'''NAME OF THE SCHOOL:''' <br>
 
'''NAME OF THE SCHOOL:''' <br>
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'''UNIT:Coordinate -Geometry  Marks:15'''<br>
 
'''UNIT:Coordinate -Geometry  Marks:15'''<br>
 
#Locate the position of students of your class on the given graph sheet<br>
 
#Locate the position of students of your class on the given graph sheet<br>
[[Image:ribrics.png|500px]]<br>
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[[Image:rubrics.png|500px]]<br>
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#Analyse the pattern of the points given and find    some more points. <br>
 
#Analyse the pattern of the points given and find    some more points. <br>
 
#Locate those points and join them.<br>
 
#Locate those points and join them.<br>
 
#Write the equation represented by the given graph.<br>
 
#Write the equation represented by the given graph.<br>
 
#Find the Slope and Y-intercept of the graph.   
 
#Find the Slope and Y-intercept of the graph.   
[[Image:2.png|500px]]<br>
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[[Image:Activity Coordinate geometry.png|500px]]<br>
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#What is the Slope and y-intercept of the graphs given and write the equation of the graphs given.<br>
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Record your conclusions.<br>
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[[Image:activity.png|500px]]<br>
  
 
= Hints for difficult problems =
 
= Hints for difficult problems =
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= Math Fun =
 
= Math Fun =
<mm>[[Coordinate_Geometry.mm|Flash]]</mm>
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[[Category:Class 10]]
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[[Category:Co-ordinate Geometry]]

Latest revision as of 10:36, 12 November 2019

ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ

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

[maximize]


Textbook

  1. Karnataka text book for Class 10, Chapter 13 - Co ordinate geometry
  1. For NCERT book Co ordinate geometry 9th Std Click Here
  2. For NCERT book Co ordinate geometry 10th Std Click here

Additional Information

Resources

Resource Title

Introduction to Co-Ordinate Geometry

Useful websites

Reference Books

Teaching Outlines

Concept # 1 - Connection between algebra and geometry through graphs of lines and curves

Learning objectives

Notes for teachers

Activities

Activity #1 [between algebra and geometry through graphs of lines and curves| ]

Concept # 2 Trignometry

Learning objectives

Notes for teachers

These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.

Activities

  1. Activity No #1 Concept Name - Activity No.
  2. Activity No #2 Concept Name - Activity No.


Concept # 3 Slope of any polynomial function

Learning objectives

Notes for teachers

These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.

Activities

Concept # 4 data pattern,graph,plotting

Learning objectives

Notes for teachers

These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.

Activities

  1. Activity No #1 Concept Name - Activity No.
  2. Activity No #2 Concept Name - Activity No.

Concept # 5 Slope of a line/Gradient of a line

Learning objectives

Notes for teachers

These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.

Activities

  1. Activity No #1[understanding what is a Slope]
  2. Activity No #2[Positive and negetive Slope]

Concept # 6 Distance Formula & Section Formula

Learning objectives

Notes for teachers

These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.

Activities

[interactives to understand Distance formula]

  1. Activity No #1 Concept Name - Activity No.
  2. Activity No #2 Concept Name - Activity No.

Concept # 7 Basics of Geometry

Learning objectives

Notes for teachers

These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.

Activities

  1. Activity No #1 Concept Name - Activity No.
  2. Activity No #2 Concept Name - Activity No.

Assessment activities for CCE

Objectives:

  1. visualising the coordinates of a given point
  2. Every polynomial equation represents a graph
  3. Position of any object can be represented with a set of coordinates
  4. Visualising Slope and Intercept of a line.
  5. Visualising that parallel lines have same slopes
  6. Slope of a line is same between any two points

WORKING SHEET TO BE GIVEN
NAME OF THE SCHOOL:
Student Name:
Marks Scored=

2014-15
10 STD Assessment Activity
UNIT:Coordinate -Geometry Marks:15

  1. Locate the position of students of your class on the given graph sheet

Rubrics.png

  1. Analyse the pattern of the points given and find some more points.
  2. Locate those points and join them.
  3. Write the equation represented by the given graph.
  4. Find the Slope and Y-intercept of the graph.

Activity Coordinate geometry.png

  1. What is the Slope and y-intercept of the graphs given and write the equation of the graphs given.

Record your conclusions.
Activity.png

Hints for difficult problems

Project Ideas

Math Fun