"Characteristics of Parallel Lines" Parallel Lines and Intersecting Lines PPT Courseware 3

Description

"Characteristics of Parallel Lines" Parallel Lines and Intersecting Lines PPT Courseware 3

1. Analysis of teaching materials

1. The status and role of teaching materials:

The characteristics of parallel lines are an important tool in junior high school geometry to prove that two angles are equal and two angles are complementary. It is like a red thread running through the study of geometry in junior high schools.

2. Teaching focus:

From two straight lines being parallel, we can get that the same angles are equal, the interior angles are equal, and the interior angles on the same side are complementary.

3. Teaching difficulties:

Comprehensive application of the characteristics of parallel lines and the conditions for parallel lines.

4. Teaching aids and learning aids:

Teaching aids: One set of multimedia courseware

Learning tools: several pieces of cardboard, small scissors

5. Teaching method: group discussion method

2. Goal Analysis

1. Knowledge goals:

① Properties of parallel lines; ② Use these properties to perform simple reasoning or calculations.

2. Capability goals:

①Experience activities such as observation, operation, reasoning, and communication to further develop spatial concepts, reasoning abilities, and organized expression abilities.

② Experience the process of exploring the characteristics of parallel lines, master the characteristics of parallel lines, and be able to solve some problems.

3. Emotional goals:

Through students' hands-on operations and observation, they develop their spatial concepts and cultivate their ability to actively explore and cooperate.

Characteristics of parallel lines

①As shown in the figure, straight line m is parallel to straight line n, and straight lines m and n are intercepted by straight line p. If ∠1=50 o, then ∠2=50 o, ∠3 = 50 o, ∠ 4=130 o.

②As shown in the figure, straight lines a∥b, c∥d, ∠1=70°, find the degree of ∠3. (solve using various methods)

The third link: Comprehensive application of the characteristics of parallel lines and the conditions for parallel lines

As shown in the figure, a beam of parallel lines AB and DE is reflected from a horizontal mirror. At this time, ∠1 = ∠2 and ∠3 = ∠ 4.

1) What is the relationship between the sizes of ∠1 and ∠3? What about ∠2 and ∠4?

Solution: ∵AB//DE

∴∠1＝∠3

And ∵∠1=∠2, ∠3=∠4

∴∠2=∠4

2) Is the reflected ray BC parallel to the side EF?

Solution: ∵∠1=∠3

∴AB//DE

The fourth link: Class summary

What did you gain from exploring this lesson?

1. Characteristics of parallel lines.

2. Comprehensive application of the characteristics of parallel lines and the conditions for parallel lines.

Teaching analysis

1. This section focuses on inquiry, with students as the main body, problem as the center, and activities as the basis, allowing students to acquire new knowledge through the process of questioning-practical exploration-communication-summarization.

2. In this class, I use a combination of teaching aids and multimedia teaching methods to allow students to use their brains, words, and hands to become the main body and interact with the teacher's dominant position.

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Update Time: 2024-10-03

This template belongs to Mathematics courseware Beijing Normal University seventh grade mathematics volume 2 industry PPT template

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