|
|
| Line 125: |
Line 125: |
| | # Understanding/ analysing the given problem | | # Understanding/ analysing the given problem |
| | ## Identifying/ Naming the triangles | | ## Identifying/ Naming the triangles |
| − | ## Identifying the sides whose lemgth is not given | + | ## Identifying the sides whose length is not given |
| | ## comparing two sides of triangles (visualising that 1st triangle is smaller than 2 nd triagle and viceversa | | ## comparing two sides of triangles (visualising that 1st triangle is smaller than 2 nd triagle and viceversa |
| | ## should identify the corresponding sides (sides having same allignment) | | ## should identify the corresponding sides (sides having same allignment) |
| Line 137: |
Line 137: |
| | x = 39* 5 /13 | | x = 39* 5 /13 |
| | | | |
| − | <ggb_applet width="1280" height="554" version="4.0" 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enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="true" showMenuBar="false" showToolBar="false" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="true" />
| + | Use the following Geogebra applet to understand proportion |
| − | x = 15 cms
| |
| | | | |
| − | <math>\frac{3}{4}</math>
| + | <ggb_applet width="800" height="400" version="4.4" 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enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="true" showMenuBar="false" showToolBar="false" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="true" /> |
| − | | |
| − | visualise and understand with geogebra applet
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| − | <ggb_applet width="800" height="600" version="4.4" 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| | = Project Ideas = | | = Project Ideas = |
Revision as of 12:35, 23 February 2014
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Concept Map
Error: Mind Map file Ratio .mm not found
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Additional Information
Useful websites
Reference Books
1. Cabinet of mathematical curiosities - Ian Stewart
2. Cabinet of mathematical curiosities - Ian Stewart
Teaching Outlines
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For Solved Problems Click [1]
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Maths is Fun
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These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.
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Hints for difficult problems
=Ratio and Proportionality
Exercise 2.4.2
In the adjacent figure, two triangles are similar. Find the length of the missing side
This problem can be solved with the following steps.
- Prerequisites: students should know the concept of similarity and proportionality
*Proportionality : two ratios are equal then four quantities are in proportional
*Similar Triangles : If two triangles are said to be similar 1. if they are equiangular 2. the corresponding side are proportional
- Understanding/ analysing the given problem
- Identifying/ Naming the triangles
- Identifying the sides whose length is not given
- comparing two sides of triangles (visualising that 1st triangle is smaller than 2 nd triagle and viceversa
- should identify the corresponding sides (sides having same allignment)
- Procedure
- find the ratio between the corresponding sides whose length is known
- express proportional corresponding sides (using the property of similarity)
AC/DF = AB/DE
13/39 = 5/x
13 : 39 = 5 : x (use the property of proportionality i.e Product of extremes is equal to product of means)
13 * x = 39 * 5
x = 39* 5 /13
Use the following Geogebra applet to understand proportion
Project Ideas
Math Fun
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