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1. LESSON’S OBJECTIVES
1.1 Quality
Understand the definition of two perpendicular planes
Demonstrate two perpendicular planes
Draw and imagine spatial geometry
Think of math problems logically and systematically
Self-conscious, creative, interested in learning and actively promote independence in learning
1.2 Competency
General competencies:
+ Self-control capacity and self-study
+ Communication and cooperation capacity
+ Problem solving and creative thinking
Mathematical competencies:
+ Critical thinking and deductive reasoning in Math
+ Solving mathematical problems
+ Using mathematical tools and means
2. PREPARATION
2.1 Teacher preparation
Teaching aids, lesson plan, projectors, supplementary boards,suggestive questions, more exercises.
2.2 Students preparation
School supplies (pen, ruler, notebook, book, …), review knowledge about the angle between two lines in space, a line perpendicular to a plane.
3. TEACHING METHODS
Encouraging students to read, self-study, automatically detect, use and apply knowledge.
4. TEACHING ACTIVITIES
A. Warm up activities
-Rationale: To help students identify the actual images of two perpendicular planes.
- Teaching forms / Teaching methods / Teaching techniques:
+ Teaching forms: Activities for the whole class.
+ Teaching methods: Self-discovery dominates the problem.
+ Teaching techniques: Assign the whole class to observe the image.
- Teaching facilities: Projector.
- Steps:
+Show some images to students to observe.
+ Review knowledge about a line perpendicular to a plane.
Problem: /
/
/ /
Source: Google.
/
A line is perpendicular to a plane when it extends directly away from it, like a pencil standing up on a table.
Source: Google.
If that is a little hard to understand, imagine two pencils standing on a table: they are in the same plane (the piece of cardboard).
//
Source: Google.
Is the "piece of cardboard" perpendicular to the "table"?
+ Introduce new lessons.
B. New learning process
Activity 1. Mention the definition of two perpendicular planes
-Rational: Mention the definition of two perpendicular planes.
- Teaching forms / Teaching methods / Teaching techniques:
+ Teaching forms: Activities for the whole class.
+ Teaching methods: Self-discovery dominates the problem.
+ Teaching techniques: Research documents and conducting practice.
- Teaching facilities: projector, supplementary boards.
Product activities / important content:
/
//
Activity 2. Understand theorems related to two perpendicular planes.
- Rationale:
+Understand theorems related to two perpendicular planes
+Demonstrate two perpendicular planes
- Teaching forms / Teaching methods / Teaching techniques:
+ Teaching forms: Work in pairs or groups.
+ Teaching methods: Self-discovery dominates the problem.
+ Teaching techniques: Research documents and conducting practice.
- Teaching facilities: Projector, supplementary boards.
- Steps:
+ Give steps to demonstrate two perpendicular planes.
+ Provide examples to guide students through.
+ Comments on the solution.
Product activities / important content:
Use of Geogebra
/
Start up Geogebra or open a new Geogebra workspace by choosing File-> New.
Click the 3D window to active.
Select any construction tool from the 3D Graphics View Toolbar and read the tooltip provided in the / 3D Graphics View in order to find out how to use the selected .
- Evaluate:
+ Through activities, students can use their respective mathematical knowledge and skills to solve problems, which can contribute to the development of the capacity to solve mathematical problems as well as to develop the capacity to use mathematical tools and means.
+ Through problems, students read to understand basic information; analyze, select, extract the necessary information. Therefore, they can help students to the development of mathematical communication competencies.
C. Practice activities
- Rationale: To master the method of proving two perpendicular planes.
- Teaching forms / Teaching methods / Teaching techniques:
+ Teaching forms: Work in group.
+ Teaching methods
nguon VI OLET
