{"id":6495,"date":"2024-07-09T13:22:37","date_gmt":"2024-07-09T20:22:37","guid":{"rendered":"https:\/\/mathtalk.sdsu.edu\/wordpress\/?page_id=6495"},"modified":"2024-07-09T14:13:09","modified_gmt":"2024-07-09T21:13:09","slug":"trigonometry-lesson-7","status":"publish","type":"page","link":"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-students\/trigonometric-concepts-unit\/trigonometry-lesson-7\/","title":{"rendered":"Trigonometry Lesson 7"},"content":{"rendered":"\n

Transforming the Sine Function<\/h3>\n\n\n\n

In this lesson, Mary and Claire modify the sine function to give the height above the ground of a student named April as she travels on a Ferris wheel.<\/p>\n\n\n\n

Episode 1: Making Sense<\/a><\/strong><\/h5>\n\n\n\n

The students draw a picture of April\u2019s Ferris wheel and estimate her height at several points on her journey.<\/p>\n\n\n\n

Episode 2: Exploring<\/a><\/strong><\/h5>\n\n\n\n

Claire and Mary use a calculator to find April\u2019s height above the ground when her angle of rotation is 1 radian, 2.5 radians, and when she is at the top of the Ferris wheel.<\/p>\n\n\n\n

Episode 3: Repeating Your Reasoning<\/a><\/strong><\/h5>\n\n\n\n

Mary and Claire explore how to modify the sine function to give April\u2019s height above the ground at any angle of rotation as she travels around the Ferris wheel. <\/p>\n\n\n\n

Episode 4: Reflecting<\/a><\/strong><\/h5>\n\n\n\n

Mary and Claire reflect on how to modify a sine function to create a function that gives April\u2019s height above the ground at any angle of rotation. They describe how the different parts of the function correspond to different features of the Ferris wheel.<\/p>\n\n\n\n

<\/p>\n\n\n\n

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Trigonometry<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Transforming the Sine Function In this lesson, Mary and Claire modify the sine function to give the height above the ground of a student named April as she travels on a Ferris wheel. Episode 1: Making Sense The students draw a picture of April\u2019s Ferris wheel and estimate her height at several points on her […]<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":145,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-6495","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/6495","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/comments?post=6495"}],"version-history":[{"count":6,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/6495\/revisions"}],"predecessor-version":[{"id":6521,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/6495\/revisions\/6521"}],"up":[{"embeddable":true,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/145"}],"wp:attachment":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/media?parent=6495"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}