Ferris wheel task (algebra II)
Adhering to the traditional pathway guidelines for Common Core Algebra II, this unit covers the trigonometric Common Core standards associated with the Algebra II course (TF.B.5, TF.A.1, TF.A.2, TF.C.8). Students will begin the unit by studying the unit circle (TF.A.1 and TF.A.2). In Geometry, students already learned to find the degree measure from a radian measure and vice versa (C.B.2). In this unit students learn the definition of what a radian is and use that definition to find the arc length, radius, or radian. Students also learn about how to use the unit circle with trigonometric functions. Once students understand the unit circle and its relationship with trigonometric functions, they will then learn about the Pythagorean identity sin2(θ) + cos2(θ) = 1 and use it to find sin(θ), cos(θ), or tan(θ), given sin(θ), cos(θ), or tan(θ) and the quadrant of the angle (TF.C.8). The final topic will be modeling using trigonometric functions (TF.B.5).