Free Printable WorksheetMathGeometryMath CurriculumSMP.1

GEO.189 Check reasonableness using estimation and alternative methods Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.189 Check reasonableness using estimation and alternative methods. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.189 Check reasonableness using estimation and alternative methods - Primary standard selected for prompt fields in this prompt cell: CCSS SMP.1. Skill statement in this prompt cell: Select the estimate or check that correctly verifies whether a modeling result is reasonable. Associated standards listed with this skill in the curriculum source: CCSS SMP.1; NY HS MP; MA 2017 SMP; TEKS §111.41(b)(2) Process; WIDA 2020-Language Expectations; SMP.3, SMP.5; WIDA 2020-Key Language Uses; ISTE Students (1.3, 1.6). 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.189 Check reasonableness using estimation and alternative methods skill assessments:

Problem 1Difficulty: Mastery

A surveyor models a quadrilateral with coordinate vertices (0,0), (40,0), (50,30), and (10,40). The reported area is 1450 square meters. Which alternate method verifies the result?

AUse the shoelace formula; the cross-sums differ by 2900, and half is 1450, so the result is reasonable.

BUse the bounding rectangle 50 * 40 = 2000, so the area must be exactly 2000.

CAdd the coordinates to get 170, so 1450 is too large.

DUse the perimeter estimate only; perimeter and area should have the same value.

Solution & Explanation:The shoelace formula provides an independent coordinate-area check. For these vertices, the cross-sum difference is 2900, so the area is 2900/2 = 1450 square meters.

Problem 2Difficulty: Mastery

A water feature has volume 135 cubic feet. A pump moves water at 45 cubic feet per minute. A model gives the fill time as 6075 minutes. Which check correctly evaluates the result?

ATime should be volume divided by rate: 135 / 45 = 3 minutes, so 6075 minutes is not reasonable.

BTime should be volume times rate: 135 * 45 = 6075 minutes, so the result is reasonable.

CTime should be 45 / 135 = 1/3 minute, so 6075 is reasonable after converting units.

DThe model is reasonable because both numbers have cubic feet in their units.

Solution & Explanation:A unit and operation check shows that minutes come from cubic feet divided by cubic feet per minute. The correct check is 135 / 45 = 3 minutes, not multiplication.

Problem 3Difficulty: Mastery

A scatter plot of regular hexagon side length s and area A follows A about 2.6s². A model predicts 416 square units for s = 12. Which check best evaluates the prediction?

AUse 2.6 * 12² = 2.6 * 144 about 374, so 416 is too high.

BUse 2.6 * 12 = 31.2, so 416 is too high.

CUse 12² = 144, so 416 is reasonable because it is larger than 144.

DUse 6 * 12 = 72, so 416 is reasonable because a hexagon has 6 sides.

Solution & Explanation:Regular hexagon area grows with the square of side length. Substituting s = 12 into A about 2.6s² gives about 374 square units, not 416.

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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.1 (Primary standard selected for prompt fields in this prompt cell: CCSS SMP.1. Skill statement in this prompt cell: Select the estimate or check that correctly verifies whether a modeling result is reasonable. Associated standards listed with this skill in the curriculum source: CCSS SMP.1; NY HS MP; MA 2017 SMP; TEKS §111.41(b)(2) Process; WIDA 2020-Language Expectations; SMP.3, SMP.5; WIDA 2020-Key Language Uses; ISTE Students (1.3, 1.6). Use this prompt-provided wording as the supporting standard description for this workflow.).