Skill plan for the Tests of Adult Basic Education - Math Level A
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Geometry
Explore the effects of simple series of transformations on parts of figures (e.g., lines, points, angles, parallel lines, etc.) on and off the coordinate plane
Explore the effects of simple series of transformations on parts of figures (e.g., lines, points, angles, parallel lines, etc.) on and off the coordinate plane
Explore properties of similar figures and transformations that produce similar figures
Explore properties of similar figures and transformations that produce similar figures
Create and use ratios to find missing side lengths and angle measures of similar figures
Create and use ratios to find missing side lengths and angle measures of similar figures
Explore and create algebraic proofs of simple geometric theorems using coordinates
Explore and create algebraic proofs of simple geometric theorems using coordinates
Prove and apply theorems involving similarity
Prove and apply theorems involving similarity
Use the formulas for the area and circumference of circles to solve problems involving volumes of cylinders
Use the formulas for the area and circumference of circles to solve problems involving volumes of cylinders
Use the formulas for the area and circumference of circles to solve problems involving volumes of cylinders and cones
Use the formulas for the area and circumference of circles to solve problems involving volumes of cylinders and cones
Investigate and explain volume formulas through informal arguments of circles, cylinders, pyramids, and cones
Investigate and explain volume formulas through informal arguments of circles, cylinders, pyramids, and cones
Solve problems involving areas of two-dimensional figures, including modeling problems involving concepts of density based on area
Solve problems involving areas of two-dimensional figures, including modeling problems involving concepts of density based on area
Solve problems involving surface areas and volumes of three- dimensional figures, including modeling problems involving concepts of density based on volume
Solve problems involving surface areas and volumes of three- dimensional figures, including modeling problems involving concepts of density based on volume
Numbers and Quantity
Simplify expressions involving operations with rational numbers
Simplify expressions involving operations with rational numbers
Simplify expressions involving integer exponents
Equivalent expressions
Exponent rules
Simplify expressions involving integer exponents
Equivalent expressions
Exponent rules
Use properties of exponents to rewrite expressions involving radicals and rational exponents
Numerical expressions with exponents
Variable expressions with exponents
Expressions with radicals
Use properties of exponents to rewrite expressions involving radicals and rational exponents
Numerical expressions with exponents
Variable expressions with exponents
Expressions with radicals
Convert between measurement units appropriately while solving problems
Convert between measurement units appropriately while solving problems
Define appropriate quantities and parameters when solving problems using descriptive modeling
Define appropriate quantities and parameters when solving problems using descriptive modeling
Determine appropriate scales and origins in graphs and data displays
Determine appropriate scales and origins in graphs and data displays
Choose appropriate levels of accuracy for measurement limitations in given situations
Choose appropriate levels of accuracy for measurement limitations in given situations
Algebra
Add and subtract polynomials of degree 3 or less
Add and subtract polynomials of degree 3 or less
Add, subtract, multiply, and divide polynomials of degree 3 or less
Add, subtract, multiply, and divide polynomials of degree 3 or less
Add, subtract, multiply, and divide polynomials of any degree
Addition and subtraction
Multiplication
Division
Add, subtract, multiply, and divide polynomials of any degree
Addition and subtraction
Multiplication
Division
Identify parts of expressions (e.g., terms, coefficients, variables, etc.)
Identify parts of expressions (e.g., terms, coefficients, variables, etc.)
Identify an equation that shows a relationship between two variables given in a table or graph
Identify an equation that shows a relationship between two variables given in a table or graph
Create equations that show a relationship between two variables given in a table or graph
Create equations that show a relationship between two variables given in a table or graph
Create quadratic equations that represent given real-world situations
Create quadratic equations that represent given real-world situations
Identify systems of equations that represent given real-world situations
Identify systems of equations that represent given real-world situations
Create systems of equations that represent given real-world situations
Create systems of equations that represent given real-world situations
Identify systems of inequalities that represent given real-world situations
Identify systems of inequalities that represent given real-world situations
Create systems of inequalities that represent given real-world situations
Create systems of inequalities that represent given real-world situations
Use properties of operations, such as the distributive property and combining like terms, to find solutions of linear equations
Use properties of operations, such as the distributive property and combining like terms, to find solutions of linear equations
Solve quadratic equations by factoring
Solve quadratic equations by factoring
Solve quadratic equations using various methods (e.g., taking square roots, factoring, completing the square, quadratic formula, etc.)
Solve quadratic equations using various methods (e.g., taking square roots, factoring, completing the square, quadratic formula, etc.)
Factor and solve quadratic equations with lead coefficients greater than 1
Factor and solve quadratic equations with lead coefficients greater than 1
Find the minimum or maximum and zeros of a quadratic equation and explain the meaning in context
Find the minimum or maximum and zeros of a quadratic equation and explain the meaning in context
Graph systems of inequalities
Graph systems of inequalities
Determine whether a point (x, y) is in the solution set of a given system of inequalities
Determine whether a point (x, y) is in the solution set of a given system of inequalities
Determine whether a point (x, y) is a solution to a given system of equations
Determine whether a point (x, y) is a solution to a given system of equations
Solve a system of equations by graphing the equations and finding the point of intersection
Solve a system of equations by graphing the equations and finding the point of intersection
Functions
Write functions in different but equivalent forms and explain what each form "reveals" (e.g., factoring a quadratic function to reveal the zeros)
Write functions in different but equivalent forms and explain what each form "reveals" (e.g., factoring a quadratic function to reveal the zeros)
Evaluate linear, quadratic, and exponential functions at given values with and without context
Evaluate linear, quadratic, and exponential functions at given values with and without context
Find the average rate of change of a function over a given interval
Find the average rate of change of a function over a given interval
Compare properties of two functions (linear, quadratic, piecewise linear, absolute value, exponential) represented in the same way

Compare properties of two functions (linear, quadratic, piecewise linear, absolute value, exponential) represented in different ways
Compare properties of two functions (linear, quadratic, piecewise linear, absolute value, exponential) represented in the same way

Compare properties of two functions (linear, quadratic, piecewise linear, absolute value, exponential) represented in different ways
Write the equation of a linear function represented by a table or a graph
Write the equation of a linear function represented by a table or a graph
Explore arithmetic and geometric sequences and relate them to linear and exponential functions
Explore arithmetic and geometric sequences and relate them to linear and exponential functions
Determine whether graphs of functions are linear, quadratic, or exponential
Determine whether graphs of functions are linear, quadratic, or exponential
Determine whether a given scenario can be represented by a function with a constant rate of change
Determine whether a given scenario can be represented by a function with a constant rate of change
Use function notation and interpret statements that use function notation in context
Use function notation and interpret statements that use function notation in context
Evaluate a linear function at a given value
Evaluate a linear function at a given value
Find the rate of change of a linear function
Find the rate of change of a linear function
Graph equations of linear functions given in various forms
Graph equations of linear functions given in various forms
Use the equation or graph of a linear function to represent and solve real- world problems
Use the equation or graph of a linear function to represent and solve real- world problems
Describe the meaning of terms of equations of functions in context
Describe the meaning of terms of equations of functions in context
Identify the intercepts of graphs of linear functions
Identify the intercepts of graphs of linear functions
Identify key characteristics of graphs of functions (e.g., intercepts, minimum, maximum, etc.)
Identify key characteristics of graphs of functions (e.g., intercepts, minimum, maximum, etc.)
Statistics and Probability
Identify and create multiple representations of data sets (e.g., tables, scatter plots, histograms, box plots, etc.)
Identify and create multiple representations of data sets (e.g., tables, scatter plots, histograms, box plots, etc.)
Create multiple representations of data sets and describe key features (e.g., number of observations, patterns, overall shape, etc.)
Create multiple representations of data sets and describe key features (e.g., number of observations, patterns, overall shape, etc.)
Create multiple representations of data sets and use them to describe comparative inferences about the centers, spreads, and overall shapes
Create multiple representations of data sets and use them to describe comparative inferences about the centers, spreads, and overall shapes
Determine appropriate statistics to compare centers and spreads of data distributions (based on shapes)

Interpret differences in the shapes, centers, and spreads of data sets in context
Determine appropriate statistics to compare centers and spreads of data distributions (based on shapes)

Interpret differences in the shapes, centers, and spreads of data sets in context
Interpret the slope and intercepts of a linear model in context
Interpret the slope and intercepts of a linear model in context
Use the equation of a linear model to solve basic problems in context
Use the equation of a linear model to solve basic problems in context
Develop equations of linear models and use them to solve problems
Develop equations of linear models and use them to solve problems
Develop equations of linear models, interpret the slope and intercepts in context, and analyze the fit of the model to the data
Develop equations of linear models, interpret the slope and intercepts in context, and analyze the fit of the model to the data
Use scatter plots and equations of linear models to draw basic conclusions about data
Use scatter plots and equations of linear models to draw basic conclusions about data
Use information presented in two-way tables to describe associations between variables and to solve problems involving relative frequencies
Use information presented in two-way tables to describe associations between variables and to solve problems involving relative frequencies
Distinguish between correlation and causation
Distinguish between correlation and causation
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