PPT-ALGEBRA I @ SECTION 2-8 : PROPORTIONS and SIMILAR FIGURES

1 A sailboat and its model are shown at the right What is the length of the model sailboat 18 feet 25 feet 10 f t ANSWER 72 feet SIMILAR FIGURES have the same shape though not necessarily the same size . Arithmetic Operations The real numbers have the following properties Commutative Law Associative Law Distributive law In particular putting in the Distributive Law we get and so EXAMPLE 1 a b c If we use the Distributive Law three times we get This Course 1. Warm Up. Lesson Presentation. Problem of the Day. Warm Up. Fill in the missing value.. 1.. . c = 2 qt. 2.. 180 in. = yd. 3.. 3 tons = lb. 4.. min = 2,760 s. . 8. 5. 6,000. Objectives. Learn to . write and solve problems using proportions. . Proportions. Proportions are frequently used to solve problems in mathematics.. Proportional reasoning can be applied in many situations, including reading and drawing maps, architecture, and construction. . . Pythagoras (560-480 BC), the Greek geometer, was especially interested in the golden section, and proved that it was the basis for the proportions of the human figure. He showed that the human body is built with each part in a definite golden proportion to all the other parts.. What are similar polygons?. Two polygons are similar if corresponding (matching) angles are congruent and the lengths of corresponding sides are proportional.. Congruent Figures. In order to be congruent, two figures must be the same size and same shape.. (Not exactly the same, but pretty close!). Let’s do a little review work before discussing similar figures.. Congruent Figures. In order to be congruent, two figures must be the same size and same shape.. Ratios. Comparison of two items/objects. Written one of 3 ways. As a fraction. With : (colon). . using word “to”. When writing a ratio. First thing you talk about is the numerator. Second thing you talk about is the denominator. Outline. Pooled proportion. Test for a difference in proportions. Split or Steal?.  . http://. www.youtube.com/watch?v=p3Uos2fzIJ0. Both choose “split”: split the jackpot. Both choose “steal”: both get nothing. Yawn Seed?. Subject. Yawned?. Yes. No. Total. Yes. 10. 4. 14. No. 24. 12. 36. Total. 34. 16. 50. Trial. Number who yawned in yawn seed group. Number who yawned in no yawn seed group. Difference in proportions (yawn. Jiannan. Wang (. Tsinghua. , China) . Guoliang. Li (. Tsinghua. , China). Jeffrey . Xu. Yu (CUHK, HK, China). Jianhua. . Feng. (. Tsinghua. , China). Entity Matching. 2011/8/30. Find records referring to the same entity. 1) A sailboat and its model are shown at the right. What is the length of the model sailboat?. 18 feet. 25 feet. ??. 10. f. t.. ANSWER : 7.2 feet. SIMILAR FIGURES :. . have the same shape, though not necessarily the same size. . Proportion – Learning Outcomes Express quantities as proportions of each other using fractions, decimals, ratios, and percentages. Divide quantities into a given proportion. Express errors as a proportion. Proportions and Similar Figures What is Similarity? Not Similar Similar Similar Not Similar Similar Triangles Similar Figures Figures that have the same shape but not necessarily the same size are Near-Duplicate Figures. Thanawin. (Art) . Rakthanmanon. Qiang. Zhu. Eamonn. Keogh. What is a near-duplicate pattern?. A History of . Infusoria. , including . Desmidiaceae. and . Diatomaceae. , 1861..