Co-ordinate geometry

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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
2. Idea of introducing to coordinates - Activity No2

Concept # 2 Trignometry

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Concept # 3 Slope of any polynomial function

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Concept # 4 data pattern,graph,plotting

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

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Concept # 6 Distance Formula & Section Formula

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Concept # 7 Basics of Geometry

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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.