Free Printable WorksheetMathTrigonometryMath CurriculumUTRI.GT.3

TRIG.68 Fit a sinusoidal model to data using key points Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Trigonometry Math worksheet provides structured practice on TRIG.68 Fit a sinusoidal model to data using key points. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

TRIG.68 Fit a sinusoidal model to data using key points - Primary standard selected for prompt fields in this prompt cell: UTRI.GT.3. Skill statement in this prompt cell: Select amplitude, period, phase shift, and midline that fit key data features and choose the best matching sinusoidal equation. Associated standards listed with this skill in this prompt cell: UTRI.GT.3; CCSS HSF.TF.B.5; FL MA.912.T.3.3,3.5; VA T.GT.1e. Use this prompt-provided wording as the supporting standard description for this workflow.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Trigonometry

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related TRIG.68 Fit a sinusoidal model to data using key points skill assessments:

Problem 1Difficulty: Mastery
True or False: A positive sine model with phase shift right 6 starts at a maximum when x = 6.
ATrue
BFalse
Solution & Explanation:Positive sine starts at the midline increasing at its phase shift. Positive cosine starts at a maximum.
Problem 2Difficulty: Mastery
True or False: The data maximum 12 at t = 4 and minimum -2 at t = 14 can be modeled by y = 7 cos((pi/10)(t - 4)) + 5.
ATrue
BFalse
Solution & Explanation:The amplitude is 7, midline is 5, and max-to-min distance 10 is half a period, so period is 20 and coefficient pi/10.
Problem 3Difficulty: Mastery
True or False: A model with a minimum at x = 9 and the next minimum at x = 41 can use coefficient pi/16 inside sine or cosine.
ATrue
BFalse
Solution & Explanation:The period is 41 - 9 = 32, so the coefficient is 2pi/32 = pi/16.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Trigonometry Math students. It aligns with educational standard UTRI.GT.3 (Primary standard selected for prompt fields in this prompt cell: UTRI.GT.3. Skill statement in this prompt cell: Select amplitude, period, phase shift, and midline that fit key data features and choose the best matching sinusoidal equation. Associated standards listed with this skill in this prompt cell: UTRI.GT.3; CCSS HSF.TF.B.5; FL MA.912.T.3.3,3.5; VA T.GT.1e. Use this prompt-provided wording as the supporting standard description for this workflow.).

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