TRIGONOMETRY ON STAGE 9-12
TRIGONOMETRY ON STAGE
Learning Description
In this lesson, students deepen their understanding of trigonometric vocabulary and problem-solving by personifying key terms as characters and creating a scene that demonstrates their relationships in a right triangle.
Learning Targets
GRADE BAND: 9-12
CONTENT FOCUS: THEATRE & ALGEBRA/GEOMETRY
LESSON DOWNLOADS:
"I Can" Statements
“I Can…”
- I can explain the meanings of sine, cosine, tangent, opposite, adjacent, and hypotenuse.
- I can use trigonometric ratios and the Pythagorean Theorem to solve problems with right triangles.
- I can work with my group to create a scene where the vocabulary terms solve a problem together.
- I can use my voice and body to create and embody characters out of trigonometric terms.
- I can reflect on how this creative process helped me understand and demonstrate understanding of trigonometry.
Essential Questions
- How can understanding trigonometric terms as characters help us solve real-world problems involving right triangles?
Georgia Standards
Curriculum Standards
Geometry:
G.GSR.6.3 Use trigonometric ratios and the Pythagorean Theorem to solve for sides and angles of right triangles in applied problems.
Arts Standards
TAHSFT.PR.1
Act by communicating and sustaining roles in formal and informal environments.
TAHSFT.PR.1.a
Observe and demonstrate aspects of verbal and non-verbal techniques in common human activity for performance (e.g. voice, breathing, posture, facial expression, physical movement).
TAHSFT.CN.1
Explore how theatre connects to life experiences, careers, and other content.
South Carolina Standards
Curriculum Standards
Algebra 2 with Probability:
A2P.MGSR.1. Explore and analyze sine and cosine functions using the unit circle, right triangle definitions, and models of periodic phenomena.
Geometry with Statistics:
GS.MGSR.6. Discover and apply relationships in similar right triangles.
Arts Standards
Anchor Standard 1: I can create scenes and write scripts using story elements and structure.
Anchor Standard 3: I can act in improvised scenes and written scripts.
Anchor Standard 8: I can relate theatre to other content areas, arts disciplines, and careers.
Key Vocabulary
Content Vocabulary
- Sine — Ratio of the length of the opposite side to the hypotenuse in a right triangle
- Cosine — Ratio of the length of the adjacent side to the hypotenuse in a right triangle
- Tangent — Ratio of the length of the opposite side to the adjacent side in a right triangle
- Opposite — The side opposite the given angle in a right triangle
- Adjacent — The side next to (adjacent to) the given angle in a right triangle
- Hypotenuse — The longest side of a right triangle, opposite the right angle
Arts Vocabulary
- Actor/Actress — A person who portrays a character in a theatrical performance
- Improvisation — A moment in a play that is not rehearsed or “scripted”, or acting without a script. For example: if an actor forgets a line, he/ she may improvise the line in the scene. Improvisation is also a style of theatre that lends itself to comedy that is created “in the moment”.
- Embodiment — The representation or expression of something in a tangible form while bridging the gap between the character’s thoughts and your physical self
- Voice - Actors use their voice to be heard by the audience clearly. Actors must also apply vocal choices such as pitch, tempo, and volume to the character they are dramatizing.
- Gesture - An expressive movement of the body or limbs
- Body - Actors use their body to become a character through body posture and movement. What your mind thinks, what your emotions feel, all of this is supposed to show up in your body.
Materials
- Whiteboard/projector for mini-lesson and instructions
- Pre-written vocabulary definitions for reference (or handout)
- Teacher generated right triangle problem sets appropriate for level of class
- Paper and pencils for planning and writing scenes
- Space for groups to perform
- Character and scene worksheet
- Rubric
- Optional: simple props or signs with the vocabulary terms
- Optional: “Embodying the Role” video
Instructional Design
Opening/Activating Strategy
Day One
- Introduce the essential question and objectives.
- Mini-lesson: Review right triangle vocabulary (sine, cosine, tangent, opposite, adjacent, hypotenuse) with definitions and examples.
- Do a quick guided practice identifying sides and calculating basic ratios.
Work Session
- Assign students to small groups (3–6 students).
- Assign each group one or more of the vocabulary words to personify.
- Explain to the students that they will be acting as their characters to solve a right-triangle problem and create a scene showing the solution.
- Optional: Show the “Embodying the Role” video to help students understand how to get into character.
- Groups will decide:
- What personality traits fit their word?
- What does their word “do” in a right triangle?
- How can their word interact with the others?
- Groups will create short descriptions of each character and practice acting out their word (voice, gesture, movement).
- Teacher will assign a right-triangle problem to each group.
- Groups will work together to solve the problem mathematically.
- Once solved, groups write a short scene where their vocabulary characters interact to explain and solve the problem together. Students can use the Trigonometry Character Scene Worksheet to help plan their scene.
- Groups will rehearse their scene and practice staying in character.
- Teacher will circulate and offer prompts to help students as needed such as:
- What would Sine say to Opposite and Hypotenuse?
- How does Tangent feel about Adjacent?
- Who works together to find the missing angle?
- What happens when the triangle comes to life?
Closing Reflection
- Each group will introduce their character(s) to the class (name, personality, and what role they play in a triangle).
- Each group will then perform their scene for the class.
- After all performances, discuss the following:
- How did acting out the words help you understand them?
- Which terms do you feel most confident about now?
Assessments
Formative
- Observations during group work and mini-lesson questioning.
- Completion of character profiles and problem-solution.
Summative
- Group scene performance (see rubric)
Differentiation
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Accelerated:
Remedial:
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Credits
Ideas contributed by: Courtney Rubio, Susie Spear Purcell, Gretchen Hollingsworth
*This integrated lesson provides differentiated ideas and activities for educators that are aligned to a sampling of standards. Standards referenced at the time of publishing may differ based on each state’s adoption of new standards.
Revised and copyright: January 2026 @ ArtsNOW
