# 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] | + | | 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''']. | ||

− | = Concept | + | |

+ | |||

+ | ==Concept map== | ||

+ | [[File:Coordinate_Geometry.mm|Flash]] | ||

+ | |||

__FORCETOC__ | __FORCETOC__ | ||

− | |||

− | |||

+ | == Textbook == | ||

+ | #[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] | ||

+ | |||

+ | #[http://ncert.nic.in/NCERTS/textbook/textbook.htm?iemh1=3-15 For NCERT book Co ordinate geometry 9th Std Click Here] | ||

+ | #[http://ncert.nic.in/NCERTS/textbook/textbook.htm?jemh1=7-15 For NCERT book Co ordinate geometry 10th Std Click here] | ||

+ | |||

+ | ==Additional Information== | ||

+ | |||

+ | === Resources === | ||

+ | |||

+ | ==== Resource Title ==== | ||

+ | [http://www.mathopenref.com/coordintro.html 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 | ||

+ | [[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 #== | + | ==Concept # 2 Trignometry== |

===Learning objectives=== | ===Learning objectives=== | ||

===Notes for teachers=== | ===Notes for teachers=== | ||

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+ | ==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== | ||

− | ==Concept #== | + | ===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=== | ||

+ | #Activity No #1 '''Concept Name - Activity No.''' | ||

+ | #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=== | ||

+ | #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[[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== | ||

+ | ===Learning objectives=== | ||

+ | ===Notes for teachers=== | ||

+ | |||

+ | |||

+ | ===Activities=== | ||

+ | [[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 #2 '''Concept Name - Activity No.''' | ||

+ | |||

+ | ==Concept # 7 Basics of Geometry== | ||

===Learning objectives=== | ===Learning objectives=== | ||

===Notes for teachers=== | ===Notes for teachers=== | ||

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=Assessment activities for CCE= | =Assessment activities for CCE= | ||

+ | |||

+ | Objectives: | ||

+ | #visualising the coordinates of a given point<br> | ||

+ | #Every polynomial equation represents a graph<br> | ||

+ | #Position of any object can be represented with a set of coordinates<br> | ||

+ | #Visualising Slope and Intercept of a line.<br> | ||

+ | #Visualising that parallel lines have same slopes<br> | ||

+ | #Slope of a line is same between any two points<br> | ||

+ | |||

+ | '''WORKING SHEET TO BE GIVEN '''<br> | ||

+ | '''NAME OF THE SCHOOL:''' <br> | ||

+ | ''' Student Name: '''<br> ''' Marks Scored= '''<br> | ||

+ | |||

+ | '''2014-15'''<br> | ||

+ | '''10 STD Assessment Activity'''<br> | ||

+ | '''UNIT:Coordinate -Geometry Marks:15'''<br> | ||

+ | #Locate the position of students of your class on the given graph sheet<br> | ||

+ | [[Image:rubrics.png|500px]]<br> | ||

+ | |||

+ | #Analyse the pattern of the points given and find some more points. <br> | ||

+ | #Locate those points and join them.<br> | ||

+ | #Write the equation represented by the given graph.<br> | ||

+ | #Find the Slope and Y-intercept of the graph. | ||

+ | [[Image:Activity Coordinate geometry.png|500px]]<br> | ||

+ | #What is the Slope and y-intercept of the graphs given and write the equation of the graphs given.<br> | ||

+ | Record your conclusions.<br> | ||

+ | [[Image:activity.png|500px]]<br> | ||

= Hints for difficult problems = | = Hints for difficult problems = | ||

Line 58: | Line 145: | ||

= Math Fun = | = Math Fun = | ||

− | + | ||

− | + | [[Category:Class 10]] | |

+ | [[Category:Co-ordinate Geometry]] |

## Latest revision as of 10:36, 12 November 2019

Philosophy of Mathematics |

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

## Concept map

## Textbook

- For NCERT book Co ordinate geometry 9th Std Click Here
- 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

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

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

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

### Learning objectives

### Notes for teachers

### Activities

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

## Concept # 6 Distance Formula & Section Formula

### Learning objectives

### Notes for teachers

### Activities

[interactives to understand Distance formula]

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

## Concept # 7 Basics of Geometry

### Learning objectives

### Notes for teachers

### Activities

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

# Assessment activities for CCE

Objectives:

- visualising the coordinates of a given point
- Every polynomial equation represents a graph
- Position of any object can be represented with a set of coordinates
- Visualising Slope and Intercept of a line.
- Visualising that parallel lines have same slopes
- 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**

- Locate the position of students of your class on the given graph sheet

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

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