Sections: Mathematics
Class: 9
Lesson type: Lesson of generalization and systematization of knowledge.
Equipment:
- Interactive equipment (PC, multimedia projector).
- Test, material in Microsoft Word ( Appendix 1).
- Interactive program "AutoGraph".
- Individual test - handout ( Appendix 2).
During the classes
1. Organizational moment
The purpose of the lesson is stated.
I stage of the lesson
Checking homework
- Collect leaflets with home independent work from didactic material C-19 option 1.
- Solve tasks on the board that caused difficulties for students when doing homework.
II stage of the lesson
1. Frontal survey.
2. Blitz survey: mark on the board the correct answer in the test (Appendix 1, pp. 2-3).
III stage of the lesson
Doing exercises.
1. Solve No. 358 (a). Solve graphically the equation: .
2. Cards (four weak students decide in a notebook or on the board):
1) Find the value of the expression: a) ; b)
.
2) Find the domain of definition of functions: a) ; b) y = .
3. Solve No. 358 (a). Solve graphically the equation: .
One student solves on the board, the rest in a notebook. If necessary, the teacher helps the student.
On the interactive whiteboard A rectangular coordinate system was constructed using the AutoGraph program. The student draws the corresponding graphs with a marker, finds a solution, writes down the answer. Then the task is checked: the formula is entered using the keyboard, and the graph must match the one already drawn in the same coordinate system. The abscissa of the intersection of the graphs is the root of the equation.
Decision:
Answer: 8
Solve #360(a). Plot and read the graph of the function:
Students complete the task on their own.
The construction of the graph is checked using the AutoGraph program, the properties are written on the board by one student (domain, range, evenness, monotonicity, continuity, zeros and constant sign, the largest and smallest values of the function).
Decision:
Properties:
1) D( f) = (-); E( f) = , increases by )
