| Code |
Description |
| MAFS.912.F-TF.1.1: | Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle; Convert between degrees and radians. |
| MAFS.912.F-TF.1.2: | Explain how the unit circle in the coordinate plane enables the
extension of trigonometric functions to all real numbers, interpreted as
radian measures of angles traversed counterclockwise around the unit
circle. |
| MAFS.912.F-TF.1.3: | Use special triangles to determine geometrically the values of sine,
cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express
the values of sine, cosine, and tangent for π–x, π+x, and 2π–x in terms
of their values for x, where x is any real number. |
| MAFS.912.F-TF.1.4: | Use the unit circle to explain symmetry (odd and even) and
periodicity of trigonometric functions. |
This cluster includes the following access points.
Vetted resources educators can use to teach the concepts and skills in this topic.
| Name |
Description |
| Sine, Cosine, and Tangent: The Leap from Special Triangles to the Unit Circle: | Students will discover the connection between finding trigonometric ratios (sine, cosine, and tangent) using special right triangles and the unit circle. |
| Round and Round the Unit Circle: | This lesson discusses the Unit Circle and how to use co-terminal and/or reference angles to find angles on the Unit Circle. It is an extension of trigonometric functions using the real number line. |
| What is a Radian?: | Students participate in an activity that allows them to see physically and visually what a radian is. The lesson continues with the connection of radians and numbers expressed in terms of  . Students will fill out a blank unit circle and provide themselves with their own "reference/study" guide for radian measures. |
| Rotation Debate: Radians vs Degrees: | In this lesson, students will convert from degrees to radians and radians to degrees and calculate arc length using both degrees and radians. Students will come to consensus as to why radians are the preferred measure of an angle. This lesson normally takes two 50 minute class periods to teach.
- Day 1: Bell Ringer-Day 1, Lesson Notes, Activity 1
- Day 2: Day 1 Review and Wrap-up, Bell Ringer-Day 2, Activity 2
|
| Spinning Angles in Radians and Degrees (Introductory lesson to exact trigonometric values): | This lesson introduces concepts that are the prerequisites to defining trig functions on the unit circle. Radian measure and converting between degrees and radians are introduced. Students will also learn how to draw and measure positive and negative angles in standard position, identify and draw co-terminal angles, and determine a reference angle. |
| Exact Trigonometric Ratios: Triangles to the Unit Circle: | This is a lesson in which the student learns and practices exact trig values. They are explained using triangles, then the unit circle, and then guided practice to be sure these concepts are mastered since they will be used in future problems in Pre-calculus and Calculus. |
Vetted resources students can use to learn the concepts and skills in this topic.
