Praxis Geometry case studies
Praxis Geometry · Put your knowledge to work in context.
Praxis Geometry is one of the subject assessments in the Praxis family of educator certification tests administered by ETS. ETS describes Praxis as the assessment that measures "core teaching skills and subject knowledge for educator licensing in the U.S." The Geometry test is intended for candidates seeking a teaching license or endorsement in mathematics with a geometry emphasis, typically at the secondary level, and states and educator preparation programs use Praxis scores as part of their certification requirements. The Praxis Geometry case studies are 5 cases and about 3,371 words.
1Area Ratio vs. Linear Scale Factor in Similar Figures
Alvarado is grading a similarity quiz in a high school geometry class. Item 4 presents two similar trapezoids: the smaller has bases 6 cm and 10 cm, and the larger has bases 15 cm and 25 cm.
665 words, about 3 min2SSA and the Ambiguous Case in a Congruence Proof
Okafor is reviewing a two-column proof from a unit on triangle congruence. The given information reads: in triangles ABC and DEF, AB = DE = 9, BC = EF = 7, and angle A = angle D = 40°, where angle A is opposite side BC and angle D is opposite side EF.
695 words, about 3 min3A Tangent Length and a Chord Distance: Right Answers and Wrong Reasons
Brennan is grading a circle unit quiz and finds that Priya has one fully wrong item and one item that is correct with faulty reasoning. On Item 3, circle O has radius 5 and point P lies outside the circle with OP = 13.
701 words, about 4 min4Classifying a Quadrilateral from Coordinates
Delgado's students must classify quadrilateral ABCD with vertices A(1, 2), B(4, 6), C(8, 3), and D(5, −1). Tasha computes all four side lengths: AB = 5, BC = 5, CD = 5, and DA = 5.
657 words, about 3 min5Resizing a Cylinder at Constant Volume
Whitfield's design class is resizing a cylindrical can. The current can has radius 4 cm and height 10 cm, giving a volume of 160π cm³ and a lateral-plus-two-bases surface area of 112π cm².
653 words, about 3 min