Difference between revisions of "Constructive Triangles: Third Box"
From wikisori
(New page: === Age === <br> === Materials === <br> === Preparation === <br> === Presentation === <br> === Control Of Error === <br> === Points Of Interest === <br> === Purpose...) |
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Line 1: | Line 1: | ||
=== Age === | === Age === | ||
− | <br> | + | 6-9.<br> |
=== Materials === | === Materials === | ||
− | <br> | + | Box 3 - |
+ | |||
+ | *Twelve blue right-angled scalene triangles with no black lines. The angles measure 30, 60, and 90 degrees.<br> | ||
=== Preparation === | === Preparation === | ||
− | <br> | + | <br> |
=== Presentation === | === Presentation === | ||
− | <br> | + | #Isolate one triangle. |
+ | #Ask the child to identify each of the angles, and the biggest and smallest angles. | ||
+ | #This angle which is neither smallest nor biggest we can call the medium angle. | ||
+ | #The child names each angle: smallest angle, medium angle, biggest angle. | ||
+ | #First star: Let's unite all the triangles by their smallest angle. | ||
+ | #The directress positions a few and allows the child to continue. | ||
+ | #How many points does this star have? Twelve. | ||
+ | #With all of the triangles at our disposal, we can make only one star with twelve points. | ||
+ | #Second star: Let's unite all the triangles by the medium angles. | ||
+ | #How many points does this star have? Six. | ||
+ | #Try to make another star with the triangles that are left. | ||
+ | #With all the triangles at our disposal, we can make two stars with six points. | ||
+ | #Third star: Let's unite all of the triangles by the largest angle. | ||
+ | #How many points does this star have? Four. | ||
+ | #This symbol is very famous; it is the star of Saint Brigid, the patron saint of Ireland. | ||
+ | #Try to make another star like this. | ||
+ | #With all the triangles at our disposal, we can make three stars with four points.<br> | ||
=== Control Of Error === | === Control Of Error === | ||
− | <br> | + | <br> |
=== Points Of Interest === | === Points Of Interest === | ||
− | <br> | + | <br> |
=== Purpose === | === Purpose === | ||
− | <br> | + | *Use of the triangle as a constructor to indirectly demonstrate the following:<br>30o x 12 triangles = 360o 60o x 6 triangles = 360o 90o x 4 = 360o<br>360o / 30o = 12 tris. 360o / 60o = 6 tris. 360o / 90o = 4 tris.<br>360o / 12 triangles 360o / 6 = 60o 360o / 4 = 90o<br> |
=== Variation === | === Variation === | ||
− | <br> | + | <br> |
=== Links === | === Links === | ||
− | <br> | + | <br> |
=== Handouts/Attachments === | === Handouts/Attachments === | ||
− | <br> | + | <br> |
− | [[Category:Mathematics]] | + | [[Category:Mathematics]] [[Category:Mathematics_6-9]] |
Revision as of 04:27, 31 July 2009
Contents
Age
6-9.
Materials
Box 3 -
- Twelve blue right-angled scalene triangles with no black lines. The angles measure 30, 60, and 90 degrees.
Preparation
Presentation
- Isolate one triangle.
- Ask the child to identify each of the angles, and the biggest and smallest angles.
- This angle which is neither smallest nor biggest we can call the medium angle.
- The child names each angle: smallest angle, medium angle, biggest angle.
- First star: Let's unite all the triangles by their smallest angle.
- The directress positions a few and allows the child to continue.
- How many points does this star have? Twelve.
- With all of the triangles at our disposal, we can make only one star with twelve points.
- Second star: Let's unite all the triangles by the medium angles.
- How many points does this star have? Six.
- Try to make another star with the triangles that are left.
- With all the triangles at our disposal, we can make two stars with six points.
- Third star: Let's unite all of the triangles by the largest angle.
- How many points does this star have? Four.
- This symbol is very famous; it is the star of Saint Brigid, the patron saint of Ireland.
- Try to make another star like this.
- With all the triangles at our disposal, we can make three stars with four points.
Control Of Error
Points Of Interest
Purpose
- Use of the triangle as a constructor to indirectly demonstrate the following:
30o x 12 triangles = 360o 60o x 6 triangles = 360o 90o x 4 = 360o
360o / 30o = 12 tris. 360o / 60o = 6 tris. 360o / 90o = 4 tris.
360o / 12 triangles 360o / 6 = 60o 360o / 4 = 90o
Variation
Links
Handouts/Attachments