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Published byBenjamin Hopkins Modified over 8 years ago
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Bell work The total number of students out for a fall sport is 204 in our school of 1900 total students. What is the ratio of athletes to total students? What is the ratio of athletes to non-athletes?
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STUDENTS WILL BE ABLE TO SOLVE A PROPORTION, DEFINE A RATIO AND REDUCE THE RATIO TO SIMPLEST TERMS. 7.1 Proportions
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Ratio (Defn) A comparison of two quantities. Please note: A ratio can be written in 3 different ways. Ratios can (and should) be reduced.
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Example 1 In a triangle, the ratio of the measures of three sides is 5:12:13, and the perimeter is 90 cm. Find the measure of the shortest side of the triangle.
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Example 2 A 2x4 piece of wood is 48 feet long. If it is divided into two lengths in the ratio of 1:3, how long is the longer piece?
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Proportion (Defn) An equation stating that two ratios are equal. Cross-products of ratios are equal.
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Example 3 Solve.
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Example 4 Solve.
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Example 5 A twinjet airplane has a length of 78 m and a wingspan of 90 m. A scale model is made in proportion to the real airplane. If the wingspan of the scale model is 36 cm, find the length of the toy.
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Ticket to Leave Solve.
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Homework Pg. 383 # 8, 11-13, 17, 18 – 26 evens, 47, 52, 57, 58
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