Co-ordinate geometry

ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ

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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

Teaching Outlines

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

Learning objectives

• connection between algebra and geometry through graphs of lines and curves.
• Enabling geometric problems to be solved algebraically
• Geometrically visualising algebra
• introducing to the Cartesian coordinate plane
• plotting points on the plane
• reading coordinates for a point from a graph

Notes for teachers

• A plane is a flat surface which can be extended in any directions.
• coordinate geometry gives us a way to describe a point on the plane exactly by two numbers.

Activities

1. Familiarising to Cartesian Coordinate system - Activity No 1 [This source taken from mathopenref.com]

To introduce the idea, consider the grid on the right. The columns of the grid are lettered A,B,C etc. The rows are numbered 1,2,3 etc from the top. We can see that the X is in box D3; that is, column D, row 3. D and 3 are called the coordinates of the box. It has two parts: the row and the column. There are many boxes in each row and many boxes in each column. But by having both we can find one single box, where the row and column intersect.

The above activity can also be done in a class room by asking to find coordinates of each student's position

1. Idea of introducing to coordinates - Activity No2

[Play with the geogebra applet to familiarise with coordinates]

Concept # 2 Trignometry

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

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.

[understanding what is a Slope]

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

Concept # 4 data pattern,graph,plotting

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

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 # 6 Distance Formula & Section Formula

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 # 7 Basics of Geometry

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
   

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.

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

Record your conclusions.