• The students will able to use ratios and similar polygons to solve real life situations.

• What roles have similarities and proportions played in the development of society?
• What are the benefits of recognizing similarities among figures?

To be able to:

• Find and simplify the ratio of two numbers.
• Use proportions and similar polygons to solve real life problems.
• Use properties of proportions.
• Identify similar polygons and triangles.
• Use similarity theorems to prove that two triangles are similar.
• Use proportionality theorems to calculate segment lengths.

• Quizzes
• Tests
• Homework
• Verbal Response
• Bell Ringer
• Closure
• Guided Questioning

Activities:

• Investigate Ratio Activity
• Mind Maps
• Opener/Closer
• Application Problems

State Goals:

• State Goal 6: Demonstrate and apply knowledge and a sense of numbers, including numeration and operations (addition, subtraction, multiplication, division), patterns, ratios and proportions.
• 6.D.3: Apply ratios and proportions to solve practical problems.
• 6.A.4: Identify and apply the associative, commutative, distributive and identity properties of real numbers, including special numbers such as pi and square roots.
• State Goal 9: Use geometric methods to analyze, categorize, and draw conclusions about points, lines, planes, and space.
• 9.B.4: Recognize and apply relationships within and among figures.
• 9.C. 4b: Construct and communicate convincing arguments for geometric situations.
• 9.D.3: Compute distances, lengths and measures of angles using proportions, the Pythagorean theorem and its converse.