Mathematics Competencies Tested on the AEPA
The math test covers ten major skill areas with each skill area addressing one or more sub-skills. An outline showing these skill areas and their major sub-skills is shown below.
0016 Use Number Concepts and Computation Skills
- Adding, Subtracting, Multiplying, and Dividing Fractions, Decimals, and Integers
- Using the Order of Operations to Solve Problems
- Solving Problems Involving Percents
- Performing Calculations Using Exponents and Scientific Notation
- Estimating Solutions to Problems
- Using the Concepts of "Less Than" and "Greater Than"
0017 Solve Word Problems Involving Integers, Fractions, or Decimals (including Percents, Ratios, and Proportions)
- Determining the Appropriate Operations to Solve Word Problems
- Solving Word Problems Involving Integers, Fractions, Decimals, Percents, Ratios, and Proportions
0018 Interpret Information from a Graph, Table, or Chart
- Interpreting Information in Line Graphs, Bar Graphs, Pie Graphs, Pictographs, Tables, Charts, or Graphs of Functions
0019 Understand Basic Principles of Probability and Statistics
- Finding the Probability of Occurrence of a Simple Event
- Finding the Mean, Median, Mode, or Range of a Given Set of Data
- Organizing Collections of Data into Frequency Charts, Scatter Plots, and Histograms
- Drawing Inferences Based on a Statistical Summary of Data
0020 Graph Numbers or Number Relationships
- Identifying Points from Their Coordinates, the Coordinates of Points, or Graphs of Sets of Ordered Pairs
- Identifying the Graphs of Equations or Inequalities
- Finding the Slopes and Intercepts of Lines
- Recognizing Direct and Inverse Variation Presented Graphically
0021 Solve One- and Two-Variable Equations
- Finding the Value of the Unknown in One-Variable Equations
- Expressing One Variable in Terms of a Second Variable in Two-Variable Equations
- Solving a System of Two Linear Equations in Two Variables
0022 Solve Word Problems Involving One and Two Variables
- Solving Word Problems that can be Translated into One-Variable Linear Equations or Systems of Two-Variable Linear Equations
- Identifying the Equation or Equations That Correctly Represent the Mathematical Relationship(s) in Word Problems
0023 Understand Operations with Algebraic Expressions
- Factoring quadratics and Polynomials
- Adding, Subtracting, and Multiplying Polynomial Expressions
- Performing Basic Operations on and Simplifying Rational Expressions
0024 Solve Problems Involving Geometric Figures
- Identifying the Appropriate Formula For Solving Geometric Problems
- Solving Problems Involving Two- and Three-Dimensional Geometric Figures
- Solving Problems Involving Right Triangles Using the Pythagorean Theorem
0025 Apply Reasoning Skills
- Using Algorithmic Logic
- Drawing Conclusions Using the Principles of Similarity, Congruence, Parallelism, and Perpendicularity
- Using Inductive and Deductive Reasoning
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