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Mathematics (190)
Number Properties and Operations
Principles of Algebra
Measurement and Geometry Concepts
Probability and Statistics
Problem Solving and Reasoning
Practice Math Tests

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Mathematics Competencies Tested on the MTLE

The MTLE Mathematics Subtest test covers five major skill areas with each skill area addressing a number of sub-skills. An outline showing these skill areas and their major sub-skills is shown below.

0001 Understand number properties and number operations.

  • Demonstrate knowledge of place value and the relative magnitude of numbers.
  • Use addition, subtraction, multiplication, and division of whole numbers in multidigit computations.
  • Identify equivalent ways of representing integers, fractions, decimals, and percents, including the use of exponents and scientific notation.
  • Apply operations with positive and negative integers, fractions, decimals, and percents.
  • Solve word problems involving integers, fractions, decimals, percents, ratios, and proportions.

0002 Understand fundamental principles of algebra.

  • Evaluate algebraic expressions by substituting numbers for variables.
  • Solve linear algebraic equations and inequalities in one variable.
  • Identify equivalent algebraic expressions.
  • Graph ordered pairs and number relationships presented in tabular or symbolic form.
  • Identify the linear equation that best represents data presented in tabular or graphic form.

0003 Understand measurement principles and geometry concepts.

  • Identify a measurement or measurement unit needed to solve a problem.
  • Convert units within and between standard and metric measurement systems.
  • Solve problems involving lines, line segments, and angles.
  • Analyze fundamental properties of triangles, quadrilaterals, and circles.
  • Solve problems involving the length, perimeter, and area of basic shapes and the surface area and volume of rectangular solids.
  • Solve real-world problems involving basic measurement and geometric concepts, including the Pythagorean theorem.

0004 Understand probability and statistics.

  • Calculate the probability of a given outcome.
  • Analyze information presented in tables, line graphs, scatter plots, pictographs, bar graphs, histograms, and pie charts.
  • Recognize the appropriate graphic representation of data.
  • Compute and interpret the mean, median, and mode of data.
  • Demonstrate knowledge of the concepts of range, standard deviation, and spread.
  • Recognize appropriate and inappropriate uses of basic statistics.

0005 Understand problem solving, reasoning, and mathematical communication.

  • Estimate the solution to a given problem.
  • Evaluate the reasonableness of a solution to a given computation or problem.
  • Use algorithms (i.e., a set of instructions) to perform a given calculation or solve a given problem.
  • Use inductive reasoning to identify missing terms in numerical and graphical patterns.
  • Use deductive reasoning to draw conclusions and evaluate arguments.
  • Translate between written English and mathematical terminology, concepts, and notation.