(TI-Nspire CAS recommended)
Study the diagram provided. A smaller square has been constructed inside a larger square, as shown.
A point x is located on the base of the larger square. (As shown) The smaller square is constructed using similar points on each of the remaining sides of the larger square. If x is the midpoint of the base, what is the ratio between the area of the larger square and the smaller square?
Explore the relationship between the position of this point and the area of the smaller square.
http://compasstech.com.au/TNSINTRO/TI-NspireCD/Exemplary_Activities_PDF/Act4_DiminishingSquare.pdf
Path Finder
Different topic posts on the site:
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Click on the link/label of those names to see all the posts that are filed under that category.
Lessons are reviews of notes from the textbook.
Practice questions are extra material for students to use.
Lots of space is left between the question and answer to give students the opportunity to explore the question before jumping to the result.
TI-NSPIRE activities are fun problems to enhance the learning of graphing.
Links are given as lesson plans.
-Lesson
-Practice
-TI-NSPIRE
Click on the link/label of those names to see all the posts that are filed under that category.
Lessons are reviews of notes from the textbook.
Practice questions are extra material for students to use.
Lots of space is left between the question and answer to give students the opportunity to explore the question before jumping to the result.
TI-NSPIRE activities are fun problems to enhance the learning of graphing.
Links are given as lesson plans.
Tuesday, December 1, 2009
Activity 4: The Diminishing Square
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