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What are similar figures and how can their properties be used to solve real world problems indirectly?
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Student Learning Map
- Topic:Similarity
- Subject(s):Math
- Days:13
- Grade(s):9, 10, 11, 12
Key Learning:
Understand the concepts of ratio, proportion, and similarity to enhance problem solving ability.
Solve problems applying similar figures.
Unit Essential Question(s):
Lesson Essential Question(s):What similarities/differences exist between ratios and proportions? (A)How are ratios and proportions used to solve for missing values? (A)Lesson Essential Question(s):What is the difference between a geometric mean and an arithmetic mean? (A)How is triangle similarity applied when the altitude is drawn to the hypotenuse of right triangle? (A)How is triangle similarity applied when the altitude is drawn to the hypotenuse of right triangle? (ET)Lesson Essential Question(s):How are similar triangles used in determining proportional relationships when a line segment(s) is drawn parallel to one side of a triangle? (A)How are ratios and proportions used to solve for missing values? (ET)How are similar triangles used in determining proportional relationships when a line segment(s) is drawn parallel to one side of a triangle? (ET)What is the difference between a geometric mean and an arithmetic mean? (A)What is the Triangle Angle Bisector Theorem and how is it used to solve for segment lengths in a triangle? (A)What is the Triangle Angle Bisector Theorem and how is it used to solve for segment lengths in a triangle? (ET)Lesson Essential Question(s):How is triangle similarity applied when the altitude is drawn to the hypotenuse of right triangle? (A)What are the relationships between corresponding sides, perimeters and areas of similar figures? (A)How are the characteristics of similar figures applied in problem solving? (ET)How are these relationships applied in solving real-world situations? (ET)Lesson Essential Question(s):What is the proof to show that triangles are similar? (A)What is the proof to show that triangles are similar? (ET)What are the characteristics of fractals? (A)Lesson Essential Question(s):Lesson Essential Question(s):
Additional Info:
Ask an experienced coworker for additional reference texts and/or other materials. Classes using the McDougal-Littell book may use www.classzone.com as a resource. Prentice Hall Geometry Ch.8(8.1-8.6) Text Ancillary Materials Scientific Calculator, Protractor, Graph Paper FCAT Explorer Mission FCAT Polk County FCAT Item Test Bank www.PHSchool.com Kaplan Lesson Plans
Resources:
Acquisition Lesson(s):
1. What is the difference between a geometric mean and an arithmetic mean?2. What is the proof to show that triangles are similar?3. What are the characteristics of fractals?Extended Thinking Lesson(s):
1. What is the proof to show that triangles are similar?