Two students, Mary and Claire, investigate angle measure and the sine function. They begin by investigating how to measure angles in a variety of ways. They explore how to measure these angles in degrees, non-standard units, and radians. Next, they investigate the sine function. They explore how the function relates two quantities as they co-vary, and how to graph the function. Finally, they investigate how to manipulate the graph of the sine function to model climate data.<\/p>\n\n\n\n
Mary and Claire explore what it means for one angle to be more open than another. They also investigate how to measure that openness using both degrees and non-standard units.<\/p>\n\n\n\n
Mary and Claire explore how to create and measure angles that represent the amount an object has rotated. They measure the angles using both degrees and a non-standard unit of measure. They then reflect on what those measurements mean in terms of the rotation.<\/p>\n\n\n\n
In this lesson, Mary and Claire investigate the relationship between an angle measure and the length of the arc that it cuts out in a circle<\/p>\n\n\n\n
In this lesson, the students will explore the radian as a unit of measure. They will estimate the measure in radians of arcs, and also help us think about the connection between radians and degrees. <\/p>\n\n\n\n
In this lesson, Mary and Claire think about how an object\u2019s height changes in relation to its angle of rotation as it moves along a circular path. They also explore what happens to the changes in height as the object moves. They explore how this relates to circular motion along different sizes of circles.<\/p>\n\n\n\n
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
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
In this lesson, Mary and Claire transform the sine function using sliders to model temperature data. They use their models to predict future patterns in temperature.<\/p>\n\n\n\n