﻿ Test Competencies and Skills Worksheet | General Knowledge Test

# General Knowledge TestSubtest 4: Mathematics (828)

## Test Competencies and Skills Worksheet

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### Competency 1—Knowledge of number sense, concepts, and operations

• Approximate Percentage of Total Subtest Questions: 25%
Check this box if the course listed above covers the content described by this skill
Check this box if the course listed above covers the content described by this skill
Check this box if the course listed above covers the content described by this skill
This section of the worksheet allows users to map the test competencies and skills to the curriculum by entering up to six courses in the course name fields, and checking the boxes if the content of the course covers the information described by the test skills in the rows below.
Skills Course 1:
Course 2:
Course 3:
Course 4:
Course 5:
Course 6:
1. Compare real numbers and identify their location on a number line.
2. Solve real-world problems, including problems in financial literacy (e.g., calculating percentages or simple interest), involving the four operations with rational numbers.
3. Evaluate expressions involving the order of operations.
Notes on Competency 1:

### Competency 2—Knowledge of geometry and measurement

• Approximate Percentage of Total Subtest Questions: 25%
Check this box if the course listed above covers the content described by this skill
Check this box if the course listed above covers the content described by this skill
Check this box if the course listed above covers the content described by this skill
Check this box if the course listed above covers the content described by this skill
This section of the worksheet allows users to map the test competencies and skills to the curriculum by entering up to six courses in the course name fields, and checking the boxes if the content of the course covers the information described by the test skills in the rows below.
Skills Course 1:
Course 2:
Course 3:
Course 4:
Course 5:
Course 6:
1. Identify and classify simple 2D and 3D figures according to their mathematical properties.
2. Solve problems involving ratio and proportion (e.g., scaled drawings, models, real-world problems).
3. Determine an appropriate measurement unit and form (e.g., scientific notation) for real-world problems involving length, area, volume, or mass.
4. Solve real-world measurement problems, including fundamental units (e.g., length, mass, time), derived units (e.g., miles per hour, dollars per gallon), and unit conversions.
Notes on Competency 2:

### Competency 3—Knowledge of algebraic thinking and the coordinate plane

• Approximate Percentage of Total Subtest Questions: 30%
Check this box if the course listed above covers the content described by this skill
Check this box if the course listed above covers the content described by this skill
Check this box if the course listed above covers the content described by this skill
Check this box if the course listed above covers the content described by this skill
Check this box if the course listed above covers the content described by this skill
Check this box if the course listed above covers the content described by this skill
Check this box if the course listed above covers the content described by this skill
This section of the worksheet allows users to map the test competencies and skills to the curriculum by entering up to six courses in the course name fields, and checking the boxes if the content of the course covers the information described by the test skills in the rows below.
Skills Course 1:
Course 2:
Course 3:
Course 4:
Course 5:
Course 6:
1. Determine whether two algebraic expressions are equivalent by applying properties of operations or equality.
2. Identify an algebraic expression, equation, or inequality that models a real-world situation.
3. Determine and solve equations or inequalities (i.e., linear and quadratic), algebraically or graphically, in mathematical or real-world problems.
4. Interpret key features of linear equations or graphs in real-world problems (e.g., explain slope and y-intercept, determine additional solutions).
5. Identify relations that satisfy the definition of a function.
6. Compare the slopes of two linear functions represented algebraically or graphically.
7. Apply linear, quadratic, and exponential functions to model and analyze real-world relationships.
Notes on Competency 3:

### Competency 4—Knowledge of probability, statistics, and data interpretation

• Approximate Percentage of Total Subtest Questions: 20%
Check this box if the course listed above covers the content described by this skill
Check this box if the course listed above covers the content described by this skill
Check this box if the course listed above covers the content described by this skill
Check this box if the course listed above covers the content described by this skill
This section of the worksheet allows users to map the test competencies and skills to the curriculum by entering up to six courses in the course name fields, and checking the boxes if the content of the course covers the information described by the test skills in the rows below.
Skills Course 1:
Course 2:
Course 3:
Course 4:
Course 5:
Course 6:
1. Identify and interpret numerical and categorical data presented in various forms (e.g., histograms, circle graphs, scatterplots, two-way tables) to solve problems.
2. Analyze and evaluate how the presentation of data (e.g., scaling, chosen form) or selection of statistics (e.g., mean, median, mode) can lead to different or inappropriate interpretations in real-world contexts.
3. Calculate and interpret the meaning of measures of central tendency (i.e., mean, median, and mode) and variability (i.e., range and standard deviation) in real-world or abstract contexts from numerical and categorical data sets.
4. Solve and interpret real-world problems involving probability using counting procedures, tables, and tree diagrams.
Notes on Competency 4: