Free Printable WorksheetMathAlgebra IIMath CurriculumF-TF.5

ALG2.204 Identifying Periodic Features from Tables Worksheet

Download our free printable Algebra II Math worksheet on ALG2.204 Identifying Periodic Features from Tables. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

Choose your preferred download format:

100% Free • No registration or login required • Instant file access

Download PDF

Prefer interactive practice with instant grading and explanations?Practice Identifying Periodic Features from Tables Online

Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra II Math worksheet provides structured practice on ALG2.204 Identifying Periodic Features from Tables. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG2.204 Identifying Periodic Features from Tables - CCSS F-TF.5. Skill statement: Identify amplitude, period, and midline from a table of periodic data and select the correct comparison with a graph-based interpretation. Associated standards: CCSS F-TF.5; MP.2; CA CCSSM F-TF.5; MP.2; MA 2017 F-TF.5; MP.2; NY NGLS F-TF.5; MP.2; TX TEKS Algebra II: §111.40.

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

Algebra II

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 ALG2.204 Identifying Periodic Features from Tables skill assessments:

Problem 1Difficulty: Mastery

Four graph descriptions are proposed for the table. x values: -1, 8.5, 18, 27.5, 37, 46.5, 56, 65.5, 75; y values: -7, 2.5, 12, 2.5, -7, 2.5, 12, 2.5, -7. Which graph could match the periodic data?

AGraph 1: amplitude 9.5, midline y=2.5, period 38

BGraph 2: amplitude 19, midline y=2.5, period 38

CGraph 3: amplitude 9.5, midline y=12, period 19

DGraph 4: amplitude 4.75, midline y=2.5, period 76

Solution & Explanation:The maximum y-value is 12 and the minimum is -7, so the amplitude is (12 - (-7)) / 2 = 9.5 and the midline is (12 + (-7)) / 2 = 2.5. The maximum values repeat from x=18 to x=56, so the period is 38.

Problem 2Difficulty: Mastery

Which reasoning connects the table to the correct periodic graph? t values: 2, 9, 16, 23, 30, 37, 44, 51, 58; v(t) values: -5.5, 1.5, -5.5, -12.5, -5.5, 1.5, -5.5, -12.5, -5.5.

Aamplitude = 14; midline = y=1.5; period = 7 from consecutive table entries

Bamplitude = (1.5 + (-12.5)) / 2 = -5.5; midline = y=7; period = 14 from maximum to minimum

Camplitude = (1.5 - (-12.5)) / 2 = 7; midline = (1.5 + (-12.5)) / 2 = -5.5; period = 28 because maximum values repeat from t=9 to t=37

Damplitude = 7; midline = y=-12.5; period = 56 because two cycles are shown

Solution & Explanation:The maximum v(t)-value is 1.5 and the minimum is -12.5, so the amplitude is (1.5 - (-12.5)) / 2 = 7 and the midline is (1.5 + (-12.5)) / 2 = -5.5. The maximum values repeat from t=9 to t=37, so the period is 28.

Problem 3Difficulty: Mastery

Check the proposed graph description: amplitude 12.5, midline y=4.75, period 25. t values: 0, 6.25, 12.5, 18.75, 25, 31.25, 37.5, 43.75, 50; f(t) values: 11, 4.75, -1.5, 4.75, 11, 4.75, -1.5, 4.75, 11. What should be revised?

AKeep amplitude 12.5 because it equals the maximum minus the minimum

BChange the amplitude to 6.25; the proposed midline and period already match

CChange the midline to y=11; the amplitude and period already match

DChange the period to 12.5; the amplitude and midline already match

Solution & Explanation:The maximum f(t)-value is 11 and the minimum is -1.5, so the amplitude is (11 - (-1.5)) / 2 = 6.25 and the midline is (11 + (-1.5)) / 2 = 4.75. The maximum values repeat from t=0 to t=25, so the period is 25.

Want more practice questions with step-by-step guidance?

Practice All Questions Online

Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this ALG2.204 Identifying Periodic Features from Tables worksheet?

Click either the "Download PDF" or "Download DOCX" button at the top of the page. You can print the PDF directly from your browser or edit the DOCX file in Microsoft Word or Google Docs to tailor the questions to your students.

QIs this ALG2.204 Identifying Periodic Features from Tables worksheet free for teachers and homeschoolers?

Yes! All learning materials, worksheets, and practice resources on Free K12 Practice are 100% free for teachers, students, parents, tutors, and homeschooling families for non-commercial educational use. No account or subscription is required.

QCan students practice ALG2.204 Identifying Periodic Features from Tables online with instant feedback?

Yes! In addition to this printable worksheet, students can practice ALG2.204 Identifying Periodic Features from Tables interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Algebra II Math students. It aligns with educational standard F-TF.5 (CCSS F-TF.5. Skill statement: Identify amplitude, period, and midline from a table of periodic data and select the correct comparison with a graph-based interpretation. Associated standards: CCSS F-TF.5; MP.2; CA CCSSM F-TF.5; MP.2; MA 2017 F-TF.5; MP.2; NY NGLS F-TF.5; MP.2; TX TEKS Algebra II: §111.40.).