Page 313 - Start Up Mathematics_7

Technology Linking Mathematics with ICT
Section

1. The Koch snowflake is a mathematical curve created by the Swedish mathematician Helge von Koch.
Make a PowerPoint presentation on Koch snowflake under the following headings.
• Construction of Koch snowflake (with relevant figures for each step)

• The Maths behind it
• Any other relevant information you like
Take a printout of your presentation and paste it in your project file. Now answer the following questions
in your file.
(a) How many line segments are there in step 1 and step 2?
(b) What happens to the number of line segments as n increases indefinitely?
(c) What happens to the perimeter of the Koch snowflake?
(d) What can you say about the area of the Koch snowflake?

Note: You can visit the following website to collect data for PowerPoint presentation:
http://en.wikipedia.org/wiki/Koch_snowflake
2. Using the internet, collect data about the number of gold, silver and bronze medals won by the top
5 and the bottom 5 countries in the final medal tally of the 2010 CWG held in New Delhi.
Make bar graphs and pie charts representing the data collected by you in at least 3 different ways. Use
MS Word.
3. Make colourful shapes in MS Word and give them different 3-D effects. Take a printout of your work,
paste it in your project file and label the different views. Take help of an elder, if required.
4. Make a PowerPoint presentation on congruency of triangles. Include the following in your slides:
• Meaning of congruent triangles

• Criteria of proving congruency of triangles
• Difference between congruency and similarity
• How is proving congruency of triangles different from other polygons
Make diagrams with each slide to support the text.

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