"Comparison and Practice of Line Segments" PPT Courseware 2

Description

"Comparison and Practice of Line Segments" PPT Courseware 2

collaborative inquiry

content:

1. Questions encountered during study

2. Questions in the “Questioning and Inquiry” part of the tutorial

Require:

(1) Everyone participates, discusses enthusiastically, and expresses their thoughts loudly.

(2) The group leader controls the pace of the discussion, first one-on-one hierarchical discussions, and then focused discussions within the group.

(3) The team leader should record the unresolved issues and be prepared to question them.

learning target

1. Have a solid grasp of the method of comparing the length of line segments, understand the concept of the midpoint of a line segment, develop the ability to express the midpoint proficiently using quantitative relationships, be able to calculate sums and differences of line segments and related calculations of midpoints of line segments, and be able to use rulers and compasses for drawing. ;

2. Through students’ self-study and group cooperation and exploration, master the method of describing geometric figures in symbolic language;

3. Be passionate, go all out, and enjoy the joy of learning.

Comparison of line segments

1. As shown in the figure, compare the lengths of line segments AB and CD respectively.

Comparison method: As shown in the figure, endpoints A and C coincide, observe the positional relationship between endpoints B and D.

Conclusion: AB=CD.

2. How to measure the length of a line segment using a scale:

Question 1: Can you give another method to compare the size of two line segments based on the above method?

Question 2: As shown in the figure, use two methods to compare the sizes of line segments m and n?

Properties of line segments:

Of all the lines connecting two points, the line segment is the shortest.

It can also be simply said: the shortest line segment between two points.

The length of the line segment between two points is called the distance between the two points.

Definition of midpoint of line segment:

If point M divides line segment AB into two equal line segments AM and BM, then point M is called the midpoint of line segment AB.

AC=BC=1/2AB

AB=2AM=2BM

Draw any line segment, can you draw its midpoint?

Display requirements:

1. The students who presented themselves were very active. The students who did not participate in the presentation conscientiously corrected their wrong questions, wrote down the reasons for their mistakes, and began to organize the typical question books.

2. Not only should you show the standardized solution process of the question, but you should also summarize it with colored pens.

In-class exploration

(1) Basic knowledge exploration:

Research point 1. Basic properties of line segments

Question 1. As shown in the picture, there are three roads from point A to point B. Which is the shortest way for Xiao Ming to take a bicycle from point A to point B?

[Answer] Take road B for the closest

Question 2. From question 1, we know that among all the lines between two points, _____ is the shortest.

【Answer】Line segment

Explore point 2. The distance between two points

Question 3. The distance of a line segment between two points is called the distance between the two points. The length of the line segment can be measured with .

【Answer】Length. A graduated ruler.

[Summary] Distance refers to the length of a line segment, which is a numerical value, not the line segment itself.

Explore point 3. Comparison of line segments

Question 4. How to compare the length of two line segments:

(1) Superposition and comparison of “shapes”;

(2) Comparison after measuring with a scale,

【Answer】Superposition method, measurement method

【In conclusion】

Superposition method: Align one endpoint of the two line segments and look at the position of the other endpoint. There are three steps:

(1) Coincide the endpoint A of line segment AB with the endpoint C of line segment CD.

(2) Line segment AB falls along the direction of line segment CD.

(3) If endpoint B coincides with endpoint D, then line segment AB is equal to line segment CD, which can be recorded as AB=CD.

If the endpoint B falls on the line segment CD, then the line segment AB is smaller than the line segment CD, which can be recorded as AB < CD.

If the endpoint B falls outside the line segment CD, then the line segment AB is greater than the line segment CD, which can be recorded as AB>CD.

Keywords: Teaching courseware on the comparison and construction of line segments, Qingdao edition seventh grade mathematics volume 1 PPT courseware download, seventh grade mathematics slide courseware download, Comparison and construction of line segments PPT courseware download, .PPT format;

For more information about the "Comparison and Practice of Line Segments" PPT courseware, please click the "Comparison and Practice of Line Segments" ppt tab.

"Comparison and Practice of Line Segments" PPT courseware:

"Comparison and Practice of Line Segments" PPT Courseware Learning Objectives 1. Understand an important property: among all the lines between two points, the line segment is the shortest. 2. Able to use a ruler and compass to compare the length of two line segments, and express it with the symbols ＞＜=. 3. Understand the two concepts...

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Update Time: 2024-11-22

This template belongs to Mathematics courseware Qingdao Edition Seventh Grade Mathematics Volume 1 industry PPT template

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