Mathematics Competencies Tested on the MTLE
The MTLE Mathematics Subtest test covers five major skill areas with each skill area addressing a number of subskills. An outline showing these skill areas and their major subskills 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 realworld 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.
