"Secret Shop" Discovery Park PPT courseware

Description

"Secret Shop" Discovery Park PPT courseware

teaching objectives

1. Experience the process of appreciating the paving patterns, using graphics to pave the paving, and exploring the mysteries of the paving.

2. Know what dense paving is, understand which graphics can be densely paved and the characteristics of dense paving.

3. Actively participate in mathematics activities, gain the pleasant experience of exploring the mysteries of secrets, and develop reasonable reasoning abilities and spatial concepts.

Characteristics of dense paving

(1) Use one or several congruent graphics for splicing.

(2) No gaps or overlaps are left at the splicing points.

(3) Can be spread continuously into one piece.

No matter what shape the floor tiles are, as long as they can be paved with no gaps or overlaps in the middle of a piece of ground, they are densely paved.

Conclusion: Close tiles can be made with equilateral triangles and regular hexagons, but not with regular octagons.

Work in groups, calculate the degree of an interior angle of three shapes, and explore the mystery of the secret pavement.

Equilateral triangle: Each angle measures 60°.

Regular hexagon: (6-2)×180°÷6=120°.

Regular octagon: (8-2)×180°÷8=135°.

For a regular polygon, if several angles can form 360°, then this figure can be densely packed.

Discuss

(1) What kind of ceramic tiles can be used with regular octagonal floor tiles to lay densely?

(2) Can parallelograms be densely paved?

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For more information about the PPT courseware "Explore the Paradise Secret Shop", please click the "Explore the Paradise ppt Secret Shop ppt" tab.

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Update Time: 2024-11-14

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

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