JPH0444671U - - Google Patents

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Publication number
JPH0444671U
JPH0444671U JP8614390U JP8614390U JPH0444671U JP H0444671 U JPH0444671 U JP H0444671U JP 8614390 U JP8614390 U JP 8614390U JP 8614390 U JP8614390 U JP 8614390U JP H0444671 U JPH0444671 U JP H0444671U
Authority
JP
Japan
Prior art keywords
regular
gon
cut
figures
teaching material
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Pending
Application number
JP8614390U
Other languages
Japanese (ja)
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed filed Critical
Priority to JP8614390U priority Critical patent/JPH0444671U/ja
Publication of JPH0444671U publication Critical patent/JPH0444671U/ja
Pending legal-status Critical Current

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  • Instructional Devices (AREA)
  • Toys (AREA)

Description

【図面の簡単な説明】[Brief explanation of the drawing]

第1図は本考案による教材の要部斜視図である
が、との図はn=3の例を示した重要なもの
なので、普通の平面図として画いてある。第2図
は、第1図の各部を個別に切り抜いた図、第3
図は、第2図の5,6を用いて新しい対称形をつ
くつた状況、第4図は、さらに用いる三角形を2
個増やして、4箇用いて得られた新しい対称形、
第5図は裏返えさずにできる点対称の図形、第6
図も、同じく裏返さずにできる回転対称の図形、
第7図と第8図は縮尺の異なる相似形の実例、第
9図と第10図は、縮尺の自乗(二乗)が面積比
となることを示すために児童に行わせる作業を示
した図、第11図〜第13図は、正n角形の外角
が、正(2n)角形の外角の2倍、正(3n)角
形の外角の3倍であることを児童が知るようにす
るための簡単な作業工程説明図、第14図は、幾
何図形において三角形が重要な意味をもち、実際
に各種の場面でよく現れることを知らしめるため
の作業を点線で示した作業説明のための略図、第
15図は、n=4で縮尺が1/√2の値である場
合に、小さい四角形11が、その他の部分と同面
積であることを、児童にたしかめる作業を示す図
である。 1,3……本教材における大きい正n角形、2
,4,11……本教材における大きい正n角形の
内部に画かれた小さい正n角形、5,6,7,8
,9,10,12,13,14,15……上記の
小さい正n角形の周囲に画かれた三角形、12′
,13′,14′,15′……12,13,14
,15を切り取り、一部を切断して、すき間なく
並べた状態、16……12,13,14,15か
ら切り取つた部分を用いて並べるためのスペース
Although FIG. 1 is a perspective view of the main part of the teaching material according to the present invention, the figure shown in FIG. Figure 2 is an individual cutout of each part of Figure 1, and Figure 3 is a
The figure shows a situation in which a new symmetrical shape is created using 5 and 6 in Figure 2, and Figure 4 shows a situation in which a new symmetrical shape is created using 5 and 6 in Figure 2.
A new symmetrical shape obtained by increasing the number of pieces and using four pieces,
Figure 5 is a point-symmetric figure that can be made without turning over, Figure 6
Diagrams are also rotationally symmetrical shapes that can be made without turning over.
Figures 7 and 8 are examples of similar shapes with different scales, and Figures 9 and 10 are diagrams showing the work that children are required to do to show that the square of the scale is the area ratio. , Figures 11 to 13 are designed to help children understand that the exterior angles of a regular n-gon are twice the exterior angles of a regular (2n) polygon and three times the exterior angles of a regular (3n) polygon. A simple work process explanatory diagram, Figure 14, is a schematic diagram for explaining the work with dotted lines showing the work to make it clear that triangles have an important meaning in geometric figures and often appear in various situations. FIG. 15 is a diagram showing the task of confirming to the children that the small rectangle 11 has the same area as the other parts when n=4 and the scale is 1/√2. 1, 3...Large regular n-gon in this teaching material, 2
, 4, 11... Small regular n-gon drawn inside the large regular n-gon in this teaching material, 5, 6, 7, 8
, 9, 10, 12, 13, 14, 15...Triangle drawn around the above small regular n-gon, 12'
, 13', 14', 15'...12, 13, 14
, 15 are cut out, a part of them is cut, and they are lined up without any gaps. 16... Space for arranging them using the parts cut out from 12, 13, 14, and 15.

補正 平2.4.19 考案の名称を次のように補正する。 考案の名称 形態認識教材 実用新案登録請求の範囲、図面の簡単な説明を
次のように補正する。
Amendment 2.4.19 The name of the invention is amended as follows. Name of the invention Form recognition teaching material The scope of the claims for utility model registration and the brief description of the drawings are amended as follows.

【実用新案登録請求の範囲】 切断や切り取りが容易なロール状の材料あるい
は平面状の材料の表面に正n角形を描き、その内
部に縮尺が、1/√(+1)または1/√ま
たは1/kの正n角形、ならびにその正n角形の
各辺の一方への延長線が、もとの大きな正n角形
の頂点に達するように描くことにより、n個の三
角形を形成せしめた形態認知教材(n,kは整数
でn≧3,k≧2)。
[Claims for Utility Model Registration] A regular n-gon is drawn on the surface of a roll-shaped material or a flat material that is easy to cut or cut out, and the scale is 1/√ (+1) or 1/√ or 1 inside. Form recognition in which n triangles are formed by drawing a regular n-gon of /k and the extension of each side of the regular n-gon to one of the vertices of the original large regular n-gon. Teaching materials (n, k are integers, n≧3, k≧2).

【図面の簡単な説明】 第1図は本考案による教材の要部斜視図である
が、との図はn=3の例を示した重要なもの
なので、普通の平面図として描いてある。第2図
は、第1図の各部を個別に切り抜いた図、第3
図は、第3図の5,6を用いて新しい対称形をつ
くつた状況、第4図は、さらに用いる三角形を2
個増やして、4箇用いて得られた新しい対称形、
第5図は裏返えさずにできる点対称の図形、第6
図も、同じく裏返さずにできる回転対称の図形、
第7図と第8図は縮尺の異なる相似形の実例、第
9図と第10図は、縮尺の自乗(二乗)が面積比
となることを示すために児童に行わせる作業を示
した図、第11図〜第13図は、正n角形の外角
が、正(2n)角形の外角の2倍、正(3n)角
形の外角の3倍であることを児童が知るようにす
るための簡単な作業工程説明図、第14図は、幾
何図形において三角形が重要な意味をもち、実際
に各種の場面でよく現れることを知らしめるため
の作業を点線で示した作業説明のための略図、第
15図は、n=4で縮尺が1/√2の値である場
合に、小さい四角形11が、その他の部分と同面
積であることを、児童にたしかめる作業を示す図
である。 1,3……本教材における大きい正n角形、2
,4,11……本教材における大きい正n角形の
内部に描かれた小さい正n角形、5,6,7,8
,9,10,12,13,14,15……上記の
小さい正n角形の周囲に描かれた三角形、12′
,13′,14′,15′……12,13,14
,15を切り取り、一部を切断して、すき間なく
並べた状態、16……12,13,14,15か
ら切り取つた部分を用いて並べるためのスペース
[Brief Description of the Drawings] Fig. 1 is a perspective view of the main parts of the teaching material according to the present invention, but since the figure shown in Fig. 1 is an important one showing an example of n=3, it is drawn as an ordinary plan view. Figure 2 is an individual cutout of each part of Figure 1, and Figure 3 is a
The figure shows a situation where a new symmetrical shape is created using 5 and 6 in Figure 3, and Figure 4 shows a situation in which a new symmetrical shape is created using 5 and 6 in Figure 3.
A new symmetrical shape obtained by increasing the number of pieces and using four pieces,
Figure 5 is a point-symmetric figure that can be made without turning over, Figure 6
Diagrams are also rotationally symmetrical shapes that can be made without turning over.
Figures 7 and 8 are examples of similar shapes with different scales, and Figures 9 and 10 are diagrams showing the work that children are required to do to show that the square of the scale is the area ratio. , Figures 11 to 13 are designed to help children understand that the exterior angles of a regular n-gon are twice the exterior angles of a regular (2n) polygon and three times the exterior angles of a regular (3n) polygon. A simple work process explanatory diagram, Figure 14, is a schematic diagram for explaining the work with dotted lines showing the work to make it clear that triangles have an important meaning in geometric figures and often appear in various situations. FIG. 15 is a diagram showing the task of confirming to the children that the small rectangle 11 has the same area as the other parts when n=4 and the scale is 1/√2. 1, 3...Large regular n-gon in this teaching material, 2
, 4, 11... Small regular n-gon drawn inside the large regular n-gon in this teaching material, 5, 6, 7, 8
, 9, 10, 12, 13, 14, 15...Triangle drawn around the above small regular n-gon, 12'
, 13', 14', 15'...12, 13, 14
, 15 are cut out, a part of them is cut, and they are lined up without any gaps. 16...A space for arranging them using the parts cut out from 12, 13, 14, and 15.

Claims (1)

【実用新案登録請求の範囲】[Scope of utility model registration request] 切断や切り取りが容易なロール状の材料あるい
は平面状の材料の表面に正n角形を描き、その内
部に縮尺が、1/√(+1)または1/√ま
たは1/kの正n角形、ならびにその正n角形の
各辺の一方への延長線が、もとの大きな正n角形
の頂点に達するように描くことにより、n個の三
角形を形成せしめた形態認知教材(n,kは整数
でn≧3,k≧2)。
Draw a regular n-gon on the surface of a roll-shaped material or a flat material that is easy to cut or cut, and inside it draw a regular n-gon with a scale of 1/√(+1), 1/√, or 1/k, and A morphological recognition teaching material (n and k are integers) in which n triangles are formed by drawing an extension line of each side of the regular n-gon to one of the vertices of the original large regular n-gon. n≧3, k≧2).
JP8614390U 1990-08-17 1990-08-17 Pending JPH0444671U (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP8614390U JPH0444671U (en) 1990-08-17 1990-08-17

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP8614390U JPH0444671U (en) 1990-08-17 1990-08-17

Publications (1)

Publication Number Publication Date
JPH0444671U true JPH0444671U (en) 1992-04-15

Family

ID=31817656

Family Applications (1)

Application Number Title Priority Date Filing Date
JP8614390U Pending JPH0444671U (en) 1990-08-17 1990-08-17

Country Status (1)

Country Link
JP (1) JPH0444671U (en)

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