Free Printable WorksheetMathGeometryMath CurriculumSMP.3, SMP.5

GEO.183 Evaluate and revise a geometric model Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.183 Evaluate and revise a geometric model. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.183 Evaluate and revise a geometric model - Primary standard selected for prompt fields in this prompt cell: CCSS Mathematical Practice SMP.3, SMP.5. Skill statement in this prompt cell: Select whether a modeled result is reasonable given constraints and choose the revision that would improve the model. Associated standards listed with this skill in the curriculum source: SMP.3, SMP.5; WIDA 2020-Key Language Uses; ISTE Students (1.3, 1.6); CCSS SMP.1; NY HS MP; MA 2017 SMP; TEKS §111.41(b)(2) Process; WIDA 2020-Language Expectations. 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

Geometry

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 GEO.183 Evaluate and revise a geometric model skill assessments:

Problem 1Difficulty: Mastery

A stage ramp must rise 30 inches and satisfy a maximum slope of 1:12. The plan also requires a 5-foot landing at the top, and only 32 feet of straight space is available. A model proposes a 30-inch ramp because the rise is 30 inches. Which evaluation and revision is best?

ANot reasonable; the rise requires 30 feet of horizontal run, and the required landing makes a straight design exceed 32 feet, so revise to a switchback or another layout.

BReasonable because 30 inches of ramp matches the 30-inch rise.

CNot reasonable; revise the ramp to 12 inches because the slope rule is 1:12.

DReasonable only if the landing is removed from the plan.

Solution & Explanation:A 30-inch rise needs 30 x 12 = 360 inches, or 30 feet, of horizontal run. With a 5-foot landing, a straight layout needs more than the 32 feet available, so the layout must change.

Problem 2Difficulty: Mastery

An irregular pool has measured widths 12, 18, 16, and 10 feet at equally spaced 10-foot intervals along its 30-foot length. A model uses the bounding rectangle 30 feet by 18 feet and reports 540 square feet. Which evaluation and revision is best?

AReasonable because 18 feet is the maximum width.

BNot reasonable; revise the area to 300 square feet by using the minimum width.

CReasonable only if the pool has constant width 18 feet.

DNot reasonable; use trapezoidal sections to revise the estimate to 450 square feet.

Solution & Explanation:The trapezoidal estimate is 10[(12 + 18)/2 + (18 + 16)/2 + (16 + 10)/2] = 10(15 + 17 + 13) = 450 square feet, which better models the changing widths.

Problem 3Difficulty: Mastery

A sprinkler path must be modeled by a circle passing through three noncollinear stakes. A student uses angle bisectors to choose a center, but the circle misses one stake. Which evaluation and revision is best?

AReasonable because angle bisectors locate the center of any circle through three points.

BNot reasonable; use the median of each side instead of any perpendicular lines.

CNot reasonable; construct perpendicular bisectors of the chords between stakes to find the circumcenter.

DReasonable only if the stakes form an equilateral triangle.

Solution & Explanation:The center of a circle through three noncollinear points is the circumcenter, found by perpendicular bisectors of the triangle's sides. Angle bisectors find the incenter instead.

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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 Geometry Math students. It aligns with educational standard SMP.3, SMP.5 (Primary standard selected for prompt fields in this prompt cell: CCSS Mathematical Practice SMP.3, SMP.5. Skill statement in this prompt cell: Select whether a modeled result is reasonable given constraints and choose the revision that would improve the model. Associated standards listed with this skill in the curriculum source: SMP.3, SMP.5; WIDA 2020-Key Language Uses; ISTE Students (1.3, 1.6); CCSS SMP.1; NY HS MP; MA 2017 SMP; TEKS §111.41(b)(2) Process; WIDA 2020-Language Expectations. Use this prompt-provided wording as the supporting standard description for this workflow.).