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ACT
In this task, students are shown circle formations where an inner circle is surrounded by a set of circles and all circles are touching. In the first situation, all circles have the same diameter. In the second, the inner circle is larger, and in the third it is smaller. Students are asked to examine the relationship between the diameters of the outer circles and the inner one. Understanding of the sine function is required. Aligns with G-SRT.C.8, G-SRT.D, and G-MG.A.1.
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Additional Tags
geometric model, mathematical model, use trigonometric ratios to solve right triangles in applied problems, cc by-nc-sa 4.0, ccss.math, creative commons attribution-noncommercial-sharealike 4.0, g-mg.a.1, g-srt.c.8, g-srt.d, hsg-srt.c.8, illustrative mathematics, illustrative mathematics: g-srt, g-mg seven circles iii hsg-srt.c.8, hsg-mg.a.1, seven circles iii, use geometric shapes, their measures, and their properties to describe objects, trigonometric and inverse trigonometric functions
Classroom Considerations
- Knovation Readability Score: 5 (1 low difficulty, 5 high difficulty)
- The intended use for this resource is Instructional|practice