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7.69 Generating and Comparing Multiple Solutions Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Science worksheet provides structured practice on 7.69 Generating and Comparing Multiple Solutions. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Generating and Comparing Multiple Solutions - Which comparison shows the solution that best meets the criteria and constraints? (NGSS MS‑ETS1‑2)

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

Grade 7

Subject

Science

Domain

Science 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 7.69 Generating and Comparing Multiple Solutions skill assessments:

Problem 1Difficulty: Mastery
Design review: The goal is to select a school garden trellis prototype that satisfies all limits and then maximizes performance. Constraints: cost ≤ $11, build/test time ≤ 60 min, score ≥ 8, use reliability as a tie-breaker. Prototype evidence: - Rivet-501: cost $10, time 65 min, performance score 10, reliability 3/3 - Canyon-502: cost $9, time 52 min, performance score 10, reliability 3/3 - Ripple-503: cost $13, time 50 min, performance score 11, reliability 3/3 - Summit-504: cost $7, time 57 min, performance score 9, reliability 2/3 Which choice follows the engineering criteria?
ASummit-504 — valid, but another valid design has stronger performance
BRipple-503 — not valid because it is over budget
CCanyon-502 — meets all constraints and has the strongest valid performance
DRivet-501 — not valid because it is over the time limit
Solution & Explanation:First eliminate prototypes that miss a required limit. The selected design satisfies cost ≤ $11, build/test time ≤ 60 min, score ≥ 8, use reliability as a tie-breaker. Canyon-502 meets the required limits and is the best-supported choice after invalid prototypes are eliminated.
Problem 2Difficulty: Mastery
Four candidate solutions are being screened for a desk organizer. The decision rule is to compare performance only after invalid designs are removed. Constraints: cost ≤ $10, build/test time ≤ 59 min, score ≥ 7, use reliability as a tie-breaker. Prototype evidence:,,Science - Delta-497: cost $8, time 51 min,Science, reliability 3/3 - Atlas-498: cost $12, time 49 min,Science, reliability 3/3 - Harbor-499: cost $6, time 56 min,Science, reliability 2/3 - Quasar-500: cost $9, time 64 min,Science, reliability 3/3 "Which prototype is best supported by the criteria and constraints?,A. Delta-497 — meets all constraints and has the strongest valid performance | B. Quasar-500 — not valid because it is over the time limit | C. Harbor-499 — valid
Abut another valid design has stronger performance
BAtlas-498 — not valid because it is over budget,A,Criteria and constraints must be applied together
Solution & Explanation:build/test time ≤ 59 min
Problem 3Difficulty: Mastery
For the solar phone stand design challenge, students must reject any prototype that misses a limit. Constraints: cost ≤ $18, build/test time ≤ 58 min, score ≥ 9, use reliability as a tie-breaker. Prototype evidence: - Juniper-493: cost $20, time 48 min, performance score 12, reliability 3/3 - Cobalt-494: cost $14, time 55 min, performance score 10, reliability 2/3 - Nimbus-495: cost $17, time 63 min, performance score 11, reliability 3/3 - Vertex-496: cost $16, time 50 min, performance score 11, reliability 3/3 Which design best satisfies the limits and the performance goal?
AVertex-496 — meets all constraints and has the strongest valid performance
BNimbus-495 — not valid because it is over the time limit
CJuniper-493 — not valid because it is over budget
DCobalt-494 — valid, but another valid design has stronger performance
Solution & Explanation:The best choice is the highest-performing option among the valid designs. The selected design satisfies cost ≤ $18, build/test time ≤ 58 min, score ≥ 9, use reliability as a tie-breaker. Vertex-496 meets the required limits and is the best-supported choice after invalid prototypes are eliminated.

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 7 Science students. It aligns with educational standard SCI.7.69 (Grade 7 science practice focused on generating and comparing multiple solutions.).

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