E T S Praxis Series

Middle School Mathematics (0069)

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Topics Covered

In each of the content categories, the test will assess an examinee's ability to use appropriate mathematical language and representations of mathematical concepts, to connect mathematical concepts to one another and to real-world situations, and to integrate mathematical concepts to solve problems. Because the assessments were designed to measure the ability to integrate knowledge of mathematics, answering any question may involve more than one competency and may involve competencies from more than one content category. Representative descriptions of topics covered in each category are provided below.

Current section: I. Arithmetic and Basic Algebra

II. Geometry and Measurement

  1. Solve problems that involve measurement in both metric and traditional systems
  1. Compute perimeter and area of triangles, quadrilaterals, circles, and regions that are combinations of these figures; compute the surface area and volume of right prisms, cones, cylinders, spheres, and solids that are combinations of these figures
  1. Apply the Pythagorean theorem to solve problems; solve problems involving special triangles, such as isosceles and equilateral
  1. Use relationships such as congruency and similarity to solve problems involving two-dimensional and three-dimensional figures; solve problems involving parallel and perpendicular lines
  1. Solve problems using the relationships among the parts of triangles, such as sides, angles, medians, midpoints, and altitudes
  1. Solve problems using the properties of special quadrilaterals, such as the square, rectangle, parallelogram, rhombus, and trapezoid; describe relationships among sets of special quadrilaterals; solve problems involving angles, diagonals, and vertices of polygons with more than four sides
  1. Solve problems that involve using the properties of circles, including problems involving inscribed angles, central angles, radii, tangents, arcs, and sectors
  1. Solve problems involving reflections, rotations, and translations of points, lines, or polygons in the plane
  1. Solve problems that can be represented on the xy-plane (e.g., finding the distance between two points or finding the coordinates of the midpoint of a line segment)
  1. Estimate absolute and relative error in the numerical answer to a problem by analyzing the effects of round-off and truncation errors introduced in the course of solving a problem
  1. Demonstrate an intuitive understanding of a limit
  1. Demonstrate an intuitive understanding of maximum and minimum
  1. Estimate the area of a region in the xy-plane