G-SRT.3.8

Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. ★

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Formative Assessments
Formative Assessments
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Students are asked to find the difference between two lengths in a real world context requiring right triangle trigonometry.
Lighthouse Keeper
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Students are asked to solve a problem in a real world context using the Pythagorean Theorem.
Will It Fit?
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Students are asked to find the angle of elevation in a real world situation modeled by a right triangle.
Washington Monument
Virtual/Hands-on Manipulatives
Virtual/Hands-on Manipulatives
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The triangle solver manipulative displays a triangle with some of its sides and angles given. The students are then asked to determine values of the remaining sides and angles
Triangle Solver
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This virtual manipulative will help the students in understanding that the relationships found in right triangles can be used to solve many applied problems in science and engineering.
Right Triangle Solver
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Assessment Questions
Assessment Questions
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Videos of Expert Instruction
Videos of Expert Instruction
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A discussion describing ocean currents studied by a physical oceanographer does and how math is involved.
Oceanography & Math
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This video lesson presents a real world problem that can be solved by using the Pythagorean theorem. A juice seller faces this problem, daily.
MIT BLOSSOMS – The Juice Seller’s Problem
Use Real Link and Title
Math Literature
Math Literature
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This problem uses a combination of Algebra and Geometry. In particular, students need to realize that the centers of three stacked pipe circles form an equilateral triangle.
How Much Shorter Are Staggered Pipe Stacks?
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We have “the diagonal’s length measured in inches” as well as the number of pixels along both sides of the display (1136 and 640) but we still need to find “the diagonal’s length measured in pixels.” This is where students will need to use the Pythagorean Theorem.
How Sharp Is The iPhone 5’s Retina Display?
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I suggest beginning this lesson by asking students if they notice anything unusual about the field. Once they notice the circles, have a discussion about where they came from until they realize they’re from the sprinklers.
How Can We Water All Of The Grass?
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You are trying to buy a toy that is sold out in all of your local toy stores. You decide to use the Toys R Us website’s store locator to find the nearest store location.
Where’s The Nearest Toys R Us?