MTTC Mathematics (Secondary) (022) case studies
MTTC Mathematics (Secondary) (022) · Put your knowledge to work in context.
The MTTC Mathematics (Secondary) (022) is a Michigan teacher certification subject test for the Mathematics (Secondary) (EX) endorsement. According to the official MTTC test page, it is a computer-based test made up of 80 multiple-choice questions. The MTTC Mathematics (Secondary) (022) case studies are 5 cases and about 1,893 words.
1GCF, LCM, and a Generalization That Does Not Extend
During a number-theory lesson, a student computes GCF(84,120)=12 and LCM(84,120)=840, then notes that 12×840=10080=84×120. The student writes a conjecture: 'For any set of whole numbers, the GCF times the LCM equals the product of the numbers, so this must work for three numbers too.' You ask the class to test the conjecture on 18, 24, and 30.
314 words, about 2 min2A Piecewise Pricing Model and an Invalid Linear Shortcut
A print shop charges 8 per shirt for orders up to 50 shirts and 6 per shirt for each shirt beyond 50, with a maximum order of 120 shirts. Fixed setup cost is 150, and blank shirts cost the shop 3.50 each.
393 words, about 2 min3Ramp Slope, Unit Conversion, and Code Compliance
A building entrance has a 30-inch vertical rise from the sidewalk to the door threshold. The available horizontal run is 26 feet, and the site can extend the run to at most 32 feet.
421 words, about 2 min4Simpson's Paradox in a Mentoring-Program Evaluation
A district compares graduation rates for students in a new mentoring program versus students not in the program. North High: 100 program students, 90 graduated; 400 non-program students, 320 graduated.
408 words, about 2 min5Periodic Extrema and Rates of Change on a Ferris Wheel
A Ferris wheel's height above the ground, in meters, is modeled by h(t)=12+10 sin(πt/15), where t is in minutes and 0≤t≤60. A student differentiates to get h'(t)=(2π/3)cos(πt/15), sets cos(πt/15)=0, and solves πt/15=π/2 to get t=7.5.
357 words, about 2 min