Don't get off track in your instruction on coordinate geometry. A simple and direct text lesson walks students through basic definitions, principles, formulas, equations and their solutions to prepare them for independent work.
|Coordinate Geometry Lesson Plan & Activities For Class 10 | Materials, Curriculum Standards, Key Vocabulary, Instructions & more|
Board - CBSE
CHAPTER 7 : Coordinate Geometry
- Concept and introduction of coordinate geometry.
- Graphs of linear equations and method of representing the ordered pairs on the graph.
- Distance formula and its applications in different problems.
- Section formula (internal division of the line), mid- point formula and the related problems.
- Area of triangle and method of proving that three points are collinear.
[For Complete Explanation of the topic]
Introduction of coordinate geometry
Coordinate geometry is the combination of Algebra and Geometry. Before start this topic teacher will explain the Cartesian coordinate system.
Here teacher will explain Horizontal line, Vertical line, ordinate, abscissa, point on x-axis, point on y-axis, origin, quadrant etc.
Distance between two points
Plot two points on the graph and then derive the distance formula by applying the Pythagoras theorem.
Distance between two points A(x1,y1) and B(x2, y2) is given by
Collinearity of three points by distance formula
Explain the concept of collinearity of three points by using the distance formula.
Three or more points are said to be collinear if all the points lie on the straight line.
In order to prove that three points are collinear we shall prove the following statement.
If A(x1, y1) , B(x2, y2) and C(x3, y3) are three points on the line then
|AB| + |BC| = |AC|
Conditions for different types of quadrilateral
With the help of distance formula we can find the types of quadrilateral by using the following concepts.
Parallelograms: Opposite sides are equal but diagonals are not equal.
Rectangle: Opposite sides are equal and diagonals are also equal.
Rhombus: All sides are equal but diagonals are not equal.
Square: All sides are equal and diagonals are also equal.
Teacher will explain the concept by taking some examples.
Now teacher will Explain the problems related to the following statements.
Any point on the x-axis is (a, 0).
Any point of the y-axis is (0, b)
Any point given equidistant from two given points.
Now teacher will Explain the derivation of section formula and its implementation in the different problems.
If A(x1,y1) and B(x2, y2) are two points on the straight line and if point P(x, y) divide the line between A and B in m1 : m2, then by section formula:
Teacher will also explain the implementation of this formula in different problems. Teacher may also provide some problems to the students.
Mid Point Formula
After this teacher will introduce the Mid-Point formula and give some problems to the students for practice.
If A(x1,y1) and B(x2, y2) are two points on the straight line and if point P(x, y) is the mid - point of AB, then by Mid-Point formula
Area of Triangle
Now teacher will introduce the formula of finding the area of triangle and extend this formula to find the area of the quadrilateral.
If A(x1, y1) , B(x2, y2) and C(x3, y3) are three vertices of a triangle then area of triangle is given by
Explanation of the formula
This formula can also be used to find the area of quadrilateral as follows
Collinearity of three points by using area of triangle
Three points are collinear if area of the triangle is equal to zero. Teacher will assign some problems to the students to apply this concepts.
Centroid of Triangle
Now teacher will give the knowledge of centroid of the triangle and suggest the formula used to find it.
If A(x1, y1) , B(x2, y2) and C(x3, y3) are three vertices of a triangle then Centroid P(x,y) of triangle is given by
Teacher may also assign some problems to the students to apply this formula.
- Learn the formulas of finding the distance between two points,
- Able to understand section formula and mid-point formula,
- Understand the formula of finding the area of triangle, quadrilateral and the centroid of the triangle.
- Know the implementation of all these formulas in different problems.
- Review questions and formulas given by the teacher.
- Students should make a presentation on the formulas and basic concepts of this chapter.
- Solve N.C.E.R.T. problems with examples.
- Solve assignment Multiple Choice Questions (MCQ) given by the teacher.