Difference between revisions of "Concepts in Action: Equivalence between the trapezoid and T2"
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> | + | *From the triangular box: grey equilateral triangle |
| + | *From the small hexagonal box: yellow equilateral, three green equilateral triangles<br> | ||
=== Preparation === | === Preparation === | ||
| − | <br> | + | <br> |
=== Presentation === | === Presentation === | ||
| − | <br> | + | #Unite the three green triangles to form a trapezoid. |
| + | #Knowing that each of these small triangles is congruent to the red triangle having the value of 1/4 T1, we can say that the trapezoid has the value of 3/4 T1. | ||
| + | #The trapezoid can be superimposed on the grey equilateral triangle to show that 1/4 is lacking. | ||
| + | #We've already seen that the red obtuse-angled triangle was equivalent to the small red equilateral triangle having the value of 1/4 T1. | ||
| + | #So each green triangle would also be equivalent to a red obtuse-angled triangle. | ||
| + | #These obtuse-angled triangles were each 1/3 of T2; T2 is composed of three obtuse-angled triangles having the value of 1/4 T1. | ||
| + | #Therefore T2 is equal to 3/4 T1. | ||
| + | #Having the same value of 3/4 T1, the trapezoid and T2 are equivalent.<br> | ||
=== Control Of Error === | === Control Of Error === | ||
| − | <br> | + | <br> |
=== Points Of Interest === | === Points Of Interest === | ||
| − | <br> | + | <br> |
=== Purpose === | === Purpose === | ||
| − | <br> | + | <br> |
=== Variation === | === Variation === | ||
| − | <br> | + | <br> |
=== Links === | === Links === | ||
| − | <br> | + | <br> |
=== Handouts/Attachments === | === Handouts/Attachments === | ||
| − | <br> | + | <br> |
| − | [[Category:Mathematics]] | + | [[Category:Mathematics]] [[Category:Mathematics_6-9]] |
Latest revision as of 05:31, 11 August 2009
Contents
Age
6-9.
Materials
- From the triangular box: grey equilateral triangle
- From the small hexagonal box: yellow equilateral, three green equilateral triangles
Preparation
Presentation
- Unite the three green triangles to form a trapezoid.
- Knowing that each of these small triangles is congruent to the red triangle having the value of 1/4 T1, we can say that the trapezoid has the value of 3/4 T1.
- The trapezoid can be superimposed on the grey equilateral triangle to show that 1/4 is lacking.
- We've already seen that the red obtuse-angled triangle was equivalent to the small red equilateral triangle having the value of 1/4 T1.
- So each green triangle would also be equivalent to a red obtuse-angled triangle.
- These obtuse-angled triangles were each 1/3 of T2; T2 is composed of three obtuse-angled triangles having the value of 1/4 T1.
- Therefore T2 is equal to 3/4 T1.
- Having the same value of 3/4 T1, the trapezoid and T2 are equivalent.
Control Of Error
Points Of Interest
Purpose
Variation
Links
Handouts/Attachments
