LEARNING GOALS – LESSON 7:1 EXAMPLE 1A: WRITING RATIOS

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Presentation transcript:

LEARNING GOALS – LESSON 7:1 EXAMPLE 1A: WRITING RATIOS 7.1.1: Write and simplify ratios. 7.1.2: Use proportions to solve problems. A ___________ compares two numbers by division. Example: ⅗ = ______ = ____ ____ ____ A ___________ can involve more than ____ numbers as well. Example: The _________________ cannot equal ____, because it would be _______________. EXAMPLE 1A: WRITING RATIOS A. Write a ratio expressing the slope of l. B. Given that two points on line m are C(–2, 3) and D(6, 5), write a ratio expressing the slope of m.

EXAMPLE 1B: USING RATIOS EXAMPLE 2A: SOLVING PROPORTIONS The ratio of the side lengths of a triangle is 4:7:5, and its perimeter is 96 cm. What is the length of the shortest side? The ratio of the angle measures in a triangle is 1:6:13. What is the measure of each angle? A ________________ is an equation stating that two ratios are equal. Example: EXAMPLE 2A: SOLVING PROPORTIONS Solve the proportions. A. B.

EXAMPLE 2A (CONT.): SOLVING PROPORTIONS Solve the proportion. EXAMPLE 2B: USING PROPERTIES OF PROPORTIONS A. Given that 18c = 24d, find the ratio of d to c in simplest form. B. Given that 16s = 20t, find the ratio t:s in simplest form. Example 2C: Application An apartment building is 90 ft tall and 55 ft wide. If a scale model of this building is 11 in. wide, how tall is the scale model of the building?