Praxis Math 5165 case studies
Praxis Math 5165 · Put your knowledge to work in context.
The Praxis Mathematics (5165) test is one of the Praxis Subject Assessments, the family of content-knowledge tests that states and educator-preparation programs use as part of teacher licensure. It is built for candidates who intend to teach mathematics at the secondary level, and it measures mathematical content knowledge rather than classroom pedagogy - the separate Principles of Learning and Teaching tests cover instructional practice. The Praxis Math 5165 case studies are 5 cases and about 2,746 words.
1Topsoil Order: Units, Waste Allowance, and a Budget Cap
A neighborhood association is refilling a raised bed that is a rectangular prism measuring 18 ft by 12 ft, to a depth of 6 in. The supplier sells bulk topsoil only in whole cubic yards at 32 per cubic yard, delivered, with a 3-cubic-yard minimum; bagged topsoil is sold individually in 1.5 ft³ bags at 4.25 each.
565 words, about 3 min2Tutoring Cost: Piecewise Pricing and the Wrong Break-Even
A parent is choosing between two tutoring centers for a student who needs 8 hours of algebra tutoring before a retake. Center A charges a 40 registration fee plus 35 per hour for the first 5 hours and 30 per hour for every hour beyond 5.
567 words, about 3 min3The Ambiguous Lot: SSA, Frontage, and Valuation
A surveyor maps a triangular lot and measures side AB = 120 ft, side BC = 90 ft, and the angle at A (between AB and AC) as 28°. The lot's road frontage lies along side AC, and the county requires at least 30 ft of frontage, while the neighboring parcel's fence line leaves at most 60 ft usable.
519 words, about 3 min4Screening Test: Base Rates and Confirmatory Testing
A school district screens incoming students for a specific learning difference. The screening instrument has sensitivity 92% and specificity 88%, and district data indicate that about 6% of incoming students actually have the difference.
522 words, about 3 min5Open-Top Box: Constrained Optimization and a Costly Intuition
A packaging engineer is designing an open-top rectangular box with a square base to hold 32 ft³ of material. The base material costs 3.00 per square foot and the four side panels cost 1.50 per square foot.
573 words, about 3 min