Unit 2: Ratios and Proportions



Concept/SkillPractice Problems1.0Activate Prior KnowledgeIntroduction to the courseReview prior knowledge essential for this unitWorksheet CC-56a) For the Canadian flag, the ratio of width to length is 1:2. What is the perimeter of a Canadian flag that is 12 ft. long? Are all Canadian flags similar shapes? Explain using a diagram.b) Solve for each unknownx13=939c) A baseball diamond is a square with side length 90 ft. What is the distance between first and third base? 1.1Trigonometry and Trig RatiosI can use the primary trigonometric ratios to find the measures of side and angles of a right triangle.Worksheet CC-58CC-59a) In triangle ABC, <C is a right angle, side c is 22m and side b is 17m. Draw a diagram and find the measure of <A to the nearest degree.b) What does SOC-CAH-TOA stand for?1.2TrigonometryI can use the primary trigonometric ratios to find the measures of side and angles of a right triangle.Get textbooks today!Page 15 #3, 4, 8Page 16 #6, 7 2. From an airplane 420 m above the ground, the angle of depression of the end of the runway is 320. How far is the end of the runway along the ground?Ans: 672.1 m1.3The Sine Law - I can use the sine law to solve acute triangles.Practice QuizPage 25-26 #3, 5, 6, and 71.4Applying the Sine Law – I can solve problems that arise from real-world applications involving metric and imperial measurements and that require the use of the sine law in acute trianglesHandout1.5The Cosine Law – I can use the cosine law to solve acute triangles.Practice QuizPage 35-36 #1, 2, 3 and 41.6Applying the Cosine Law - I can solve problems that arise from real-world applications involving metric and imperial measurements and that require the use of the cosine law in acute triangle.Handout1.7Review - I can describe conditions that guide when it is appropriate to use the sine law or the cosine law, and use these laws to calculate sides and angles in acute triangles.Page 29 #1-5Page 46-47 #1-11Page 48 #1-6*Make your own reference sheet for the test (one double sided page)ORYou can use this outline with completed questions as your reference sheet Unit Test (Full period) ................
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