In this lesson, Mary and Claire develop a graph of the sine function. They grapple with how to scale the x- and y-axes so they can show the relationship between an object\u2019s angle of rotation and its height above the midline of a circle as it travels along the circumference of that circle. <\/p>\n\n\n\n
The students mark in an object\u2019s height above the midline of a circle at several stops along its circular path. They coordinate these heights with the object\u2019s angle of rotation and mark these in as well.<\/p>\n\n\n\n
The students attempt to develop a graph that relates the angle of rotation of a fly and its height above the midline as it travels on the blade of a fan in a circular path. They begin by measuring the fly\u2019s heights above the midline at several stops along the its circular path and plotting these heights on a graph.<\/p>\n\n\n\n
The students revise the graph they created in the previous episode. They plot several points that relate the height of an object above the midline of a circle and its angle of rotation as it moves around a circular path.<\/p>\n\n\n\n
Mary and Claire make their graph more accurate by plotting several more points.<\/p>\n\n\n\n
Mary and Claire begin to create a graph that relates an object\u2019s angle of rotation, measured in radians, with its height above the midline, measured in radii, as it travels along a circular path.<\/p>\n\n\n\n
The students reflect on how to use the sine button on a calculator to find the height of an object at various stops as it travels along a circular path.<\/p>\n\n\n\n