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Lesson Plan Math Class 12 Ch- 4 | Determinants
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Board – CBSE |
CLASS –XII |
SUBJECT- MATHEMATICS |
CHAPTER 4 :- Determinants |
- Introduction and determinants of a square matrices up to 3x3 matrices.
- Properties of determinants.
- Minors and cofactors of determinants.
- Application of determinants in finding the area of triangle.
- Adjoint and inverse of the square matrices.
- Consistency, inconsistency and the number of solutions of system of linear equations.
- Method of solving system of linear equations in two or three variables having unique solutions using inverse of matrix method.
S.No |
Explanation of the Topics |
1 |
First of all teacher will start the session by
asking certain questions of matrices. Then introduce the topic determinant. Now teacher will help the students in finding the
determinant of 2 x 2 matrices and 3 x 3 matrices. Definition
of Determinant Determinant is a number associated with the
square matrix. To every square matrix A = [a_{ij}] of
order n, we can associate a number (real or complex) called determinant of
the square matrix A. Determinant of matrix
[A] is denoted by |A| |
2 |
Properties of Determinants Now teacher will explain
all the properties of determinants with the help of examples and apply them
in different problems. Teacher will provide sufficient number of problems to
the students for practice. |
3 |
Concepts of minor and cofactor Now teacher will
introduce the concept of minor and Determinant and will explain the
method of finding the minors and cofactors. Students will be given sufficient
method of finding the determinants by using the cofactors. |
4 |
Area of Triangle Now teacher will explain
the method of finding the area of the triangles by using determinants. |
5 |
Adjoint and Inverse of a Matrix First of all
teacher will explain the definition of Singular matrices, invertible matrices
and Adjoint of a matrix. Singular Matrix:
A matrix whose determinant is equal to zero is called a singular
matrix. If determinant is not equal to zero then it is called Non-Singular
Matrix. Invertible Matrix: A
matrix is said to be invertible if it is non-singular. Now teacher will explain
the method of finding the Adjoint and inverse of the square matrices. |
6 |
Consistency and and Inconsistency of
system of linear equations. Teacher will Discuss and
Explain the consistency, inconsistency and the number of solutions of the
system of linear equations with two or three variables. |
7 |
Solution of System of Linear Equations Now teacher will explain
the method of solving the system of linear equations in two or three
variables by using Adjoint method of finding inverse of matrix method. |
EXPECTED OUTCOMES:-
- Review questions given by the teacher.
- Students should prepare the presentation on the properties of determinants.
- Solve NCERT problems with examples.
- Solve assignment given by the teacher.
- Assignment sheet will be given as home work at the end of the topic.
- Separate sheets which will include questions of logical thinking and Higher order thinking skills will be given to the above average students.
- Class Test , Oral Test , worksheet and Assignments. can be made the part of assessment.
- Re-test(s) will be conducted on the basis of the performance of the students in the test.
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Comments
"outstanding lesson plan"
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