"Laws of Exploration" Exploration Paradise PPT courseware

Description

"Laws of Exploration" Exploration Paradise PPT courseware

teaching objectives

1. Experience the process of counting line segments, communicating numbers, discovering patterns and applying patterns.

2. Be able to discover the relationship between the number of points on a line segment and the number of line segments, and understand the general rules and methods of counting line segments and figures.

3. Develop preliminary induction and reasoning abilities in the process of summarizing the rules of number line segments and using the rules to make calculations.

Explore new knowledge

(1) Count how many line segments there are.

Answer: There are 6 line segments in total.

(2) Count and complete the table below. What patterns did you discover?

Rule: The relationship between the number of points on a line segment and the number of line segments is that if there are n points on a line segment, there will be n(n-1)÷2 line segments.

(3) Judgment based on the discovered rules: If there are 6 points on a line segment, how many line segments are there in total? How about 10 points?

If there are 6 points on the line segment, according to n(n-1)÷2, we can get:

6×(6-1)÷2

=6×5÷2

=30÷2

=15(items)

Answer: There are 6 points on the line segment, and there are 15 line segments in total.

Consolidate application

1. (1) Count how many rays and angles there are in each of the figures below, and fill them in the table below.

(2) Observe the statistical table below. What pattern do you find between the number of angles and the number of rays?

Rule: If there are n rays, then the number of corresponding angles is n(n-1)÷2.

2. Count how many triangles there are in each of the pictures below.

3. Count how many rectangles there are in each of the pictures below.

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File Info

Update Time: 2024-11-25

This template belongs to Mathematics courseware Hebei Education Edition Fourth Grade Mathematics Volume 1 industry PPT template

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