Free Printable WorksheetMathTrigonometryMath CurriculumUTRI.MP.5

TRIG.67 Use technology to verify graphs and explore parameter changes Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Trigonometry Math worksheet provides structured practice on TRIG.67 Use technology to verify graphs and explore parameter changes. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

TRIG.67 Use technology to verify graphs and explore parameter changes - Primary standard selected for prompt fields in this prompt cell: UTRI.MP.5. Skill statement in this prompt cell: Select the correct technology settings (mode, window, table) and identify the correct conclusion from graphing or table output when parameters change. Associated standards listed with this skill in this prompt cell: UTRI.MP.5; CCSS SMP.5; TEKS §111.42(c)(1)(C); FL MA.912.T.3.7; ISTE Students 1-7; UTRI.GT.2; CCSS HSF.TF.B.5; VA T.GT.1c-d; NY AII-F.BF.3; TEKS §111.42(c)(2)(G). 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.67 Use technology to verify graphs and explore parameter changes skill assessments:

Problem 1Difficulty: Mastery
A student verifies y=cos(2(x-45))+4 in degree mode by graphing from x=0 to x=180 with yMin=2 and yMax=6. Which conclusion should the technology output support?
AThe graph has period 180 degrees, midline y=4, and is shifted right 45 degrees
BThe graph has period 45 degrees, midline y=2, and amplitude 4
CThe graph has period 360 degrees and is shifted left 45 degrees
DThe graph has amplitude 45 and midline y=180
Solution & Explanation:The inside coefficient 2 gives period 360/2=180 degrees, x-45 shifts the graph right 45 degrees, and +4 makes the midline y=4.
Problem 2Difficulty: Mastery
Technology output for y=asin(bx)+d in degree mode shows a maximum at x=15 with y=9, a minimum at x=75 with y=1, and the next maximum at x=135. Which conclusion is correct?
Aa=4, d=5, period 120 degrees, so b=3
Ba=8, d=1, period 60 degrees, so b=6
Ca=5, d=4, period 135 degrees, so b=15
Da=9, d=1, period 360 degrees, so b=1
Solution & Explanation:The max-to-next-max distance is 120 degrees, so b=360/120=3. The amplitude is (9-1)/2=4 and the midline is (9+1)/2=5.
Problem 3Difficulty: Mastery
A degree-mode graph compares f(x)=2sin(x)+1 and g(x)=2sin(x-60)+1. Which same-window table evidence verifies the parameter change?
Af has a maximum at x=90 and g has a maximum at x=150, with the same range
Bf has range -1 to 1 and g has range -60 to 60
Cg has period 60 degrees while f has period 360 degrees
Dg has every y-value 60 greater than f
Solution & Explanation:Both functions have amplitude 2 and midline 1, but x-60 shifts the maximum from 90 degrees to 150 degrees.

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Frequently Asked Questions

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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.MP.5 (Primary standard selected for prompt fields in this prompt cell: UTRI.MP.5. Skill statement in this prompt cell: Select the correct technology settings (mode, window, table) and identify the correct conclusion from graphing or table output when parameters change. Associated standards listed with this skill in this prompt cell: UTRI.MP.5; CCSS SMP.5; TEKS §111.42(c)(1)(C); FL MA.912.T.3.7; ISTE Students 1-7; UTRI.GT.2; CCSS HSF.TF.B.5; VA T.GT.1c-d; NY AII-F.BF.3; TEKS §111.42(c)(2)(G). Use this prompt-provided wording as the supporting standard description for this workflow.).

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