Grade 8 Mathematics case studies
Grade 8 Mathematics · Put your knowledge to work in context.
The Grade 8 Mathematics exam is a standards-based assessment of the mathematical knowledge and skills typically taught in eighth grade. It is used by schools, districts, and state agencies to measure student proficiency and readiness for high school mathematics. The exam covers six content domains: The Number System (10%), Expressions and Equations (30%), Functions (15%), Geometry (20%), Statistics and Probability (15%), and Ratios, Proportional Relationships, and Percents (10%). Questions appear in multiple-choice, short-answer, constructed-response, and technology-enhanced formats, requiring both procedural fluency and conceptual understanding. The Grade 8 Mathematics case studies are 5 cases and about 3,150 words.
1Fencing a Square Garden with an Irrational Side Length
The garden club at Riverside Middle School has permission to build a square plot against the east wall of the courtyard. The plot must have an area of exactly 50 square meters, and the club has already ordered soil for that area.
625 words, about 3 min2Choosing a DJ with Linear Cost Models and a Percent Discount
The student council is booking a DJ for the spring dance, which runs from 7:00 to 11:00 p.m., a 4-hour event. Two companies submitted bids.
611 words, about 3 min3Comparing Three Rain Barrels Modeled as Linear Functions
A greenhouse at Lincoln Middle School collects rainwater in three identical 60-liter barrels. Students recorded the volume every hour after a storm began.
665 words, about 3 min4Ramp Slope, Pythagorean Length, and a Switchback Proposal
The entrance to the Maple Street Community Center has a door threshold 30 inches above the sidewalk. The center plans a straight access ramp along the front of the building, where only 24 feet of horizontal space is available before a fire hydrant.
602 words, about 3 min5Two-Way Table on Breakfast and Tardiness with a Biased Sample
The wellness committee surveyed 240 students about breakfast and tardiness. Students were surveyed in the cafeteria breakfast line between 7:40 and 7:55 a.m.
647 words, about 3 min