Skill plan for the Tests of Adult Basic Education - 11&12 Math Level D
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Domain
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Geometry
Plot points and draw polygons with integer coordinates in the coordinate plane
Plot points and draw polygons with integer coordinates in the coordinate plane
Use the formulas for the area and circumference of circles to solve problems
Use the formulas for the area and circumference of circles to solve problems
Solve problems involving adding and subtracting areas of rectangles
Solve problems involving adding and subtracting areas of rectangles
Solve problems involving adding and subtracting areas of rectangles with fractional side lengths
Solve problems involving adding and subtracting areas of rectangles with fractional side lengths
Explore the effects of simple transformations (90 or 180 degree rotations, reflections, and translations) on common plane figures
Explore the effects of simple transformations (90 or 180 degree rotations, reflections, and translations) on common plane figures
Explore the effects of simple series of transformations on common figures on and off the coordinate plane
Explore the effects of simple series of transformations on common figures on and off the coordinate plane
Write and solve simple, single-step equations to find unknown angle measures in given diagrams
Write and solve simple, single-step equations to find unknown angle measures in given diagrams
Use the Pythagorean theorem to find missing side lengths of right triangles both on and off the coordinate plane
Use the Pythagorean theorem to find missing side lengths of right triangles both on and off the coordinate plane
Recognize and use right triangles drawn in the coordinate plane to solve problems
Recognize and use right triangles drawn in the coordinate plane to solve problems
Recognize when to use (and use) the Pythagorean theorem to find the lengths of line segments on the coordinate plane
Recognize when to use (and use) the Pythagorean theorem to find the lengths of line segments on the coordinate plane
Expressions and Equations
Solve equations involving square and cube roots of perfect squares and cubes
Square roots
Cube roots
Solve equations involving square and cube roots of perfect squares and cubes
Square roots
Cube roots
Use properties of operations and exponents to justify steps in solving an equation
Use properties of operations and exponents to justify steps in solving an equation
Write or solve expressions and equations involving the distributive property and combining like terms
Write or solve expressions and equations involving the distributive property and combining like terms
Express very large and very small numbers in scientific notation
Express very large and very small numbers in scientific notation
Write and solve linear equations and inequalities involving rational numbers in any form (e.g., fractions, decimals) and requiring the use of the distributive property and/or combining like terms
Write and solve linear equations and inequalities involving rational numbers in any form (e.g., fractions, decimals) and requiring the use of the distributive property and/or combining like terms
Write linear equations to represent real-world situations
Write linear equations to represent real-world situations
Write linear equations involving rational numbers in any form (e.g., fractions, decimals) to represent real- world situations
Write linear equations involving rational numbers in any form (e.g., fractions, decimals) to represent real- world situations
Represent equations of lines by graphing them on the coordinate plane
Represent equations of lines by graphing them on the coordinate plane
Identify graphs of linear equations, including those represented by equations and word descriptions of real-world situations
Identify graphs of linear equations, including those represented by equations and word descriptions of real-world situations
Create graphs of linear equations, including those represented by equations and word descriptions of real-world situations, using appropriate axis labels and scales
Create graphs of linear equations, including those represented by equations and word descriptions of real-world situations, using appropriate axis labels and scales
Graph systems of linear equations and find the point of intersection to approximate the solution
Graph systems of linear equations and find the point of intersection to approximate the solution
Write and solve systems of equations to represent real-world situations
Write and solve systems of equations to represent real-world situations
Ratios and Proportional Relationships
Identify the constant of proportionality (or unit rate) associated with ratios of whole numbers
Identify the constant of proportionality (or unit rate) associated with ratios of whole numbers
Identify the constant of proportionality (or unit rate) associated with ratios of whole numbers and fractions
Identify the constant of proportionality (or unit rate) associated with ratios of whole numbers and fractions
Find missing values of tables with equivalent ratios
Find missing values of tables with equivalent ratios
Find missing values in tables that represent proportional relationships with context
Find missing values in tables that represent proportional relationships with context
Use ratio language to describe a ratio relationship between two quantities
Use ratio language to describe a ratio relationship between two quantities
Plot pairs of values from tables on a coordinate grid
Plot pairs of values from tables on a coordinate grid
Plot pairs of values from tables on a coordinate grid to represent real-world, proportional relationships
Plot pairs of values from tables on a coordinate grid to represent real-world, proportional relationships
Interpret the meaning of a point on the graph of a proportional relationship in context
Interpret the meaning of a point on the graph of a proportional relationship in context
Use proportional relationships to solve simple problems (e.g., gratuities, fees, tax, commissions, etc.)
Percent word problems
Percent of change
Use proportional relationships to solve simple problems (e.g., gratuities, fees, tax, commissions, etc.)
Percent word problems
Percent of change
Statistics and Probability
Describe patterns of association between two quantities represented in scatter plots of bivariate data (e.g., linear, increasing, outliers, clustering, etc.)
Describe patterns of association between two quantities represented in scatter plots of bivariate data (e.g., linear, increasing, outliers, clustering, etc.)
Create scatter plots for bivariate data sets and draw lines of best fit to model linear relationships between the variables
Create scatter plots for bivariate data sets and draw lines of best fit to model linear relationships between the variables
Find a measure of center and variability of a given data set
Find a measure of center and variability of a given data set
Use measures of center and variability of given data sets, represented in multiple ways, to draw comparative inferences
Use measures of center and variability of given data sets, represented in multiple ways, to draw comparative inferences
Use measures of center and variability of given data sets to draw inferences
Use measures of center and variability of given data sets to draw inferences
Use random data to approximate the probability of a chance event
Use random data to approximate the probability of a chance event
Find the probability of a simple event
Find the probability of a simple event
Create and use information presented in two-way tables to solve simple problems
Create and use information presented in two-way tables to solve simple problems
Create multiple representations of sample spaces of compound events (e.g., lists, diagrams, simulation) and use them to find probabilities
Create multiple representations of sample spaces of compound events (e.g., lists, diagrams, simulation) and use them to find probabilities
Use basic probability models to simulate events and generate random data (e.g., using spinners, rolling dice, flipping coins, etc.)
Use basic probability models to simulate events and generate random data (e.g., using spinners, rolling dice, flipping coins, etc.)
Use basic probability models to simulate compound events and generate random data
Use basic probability models to simulate compound events and generate random data
Number System
Represent real-world situations with rational numbers
Represent real-world situations with rational numbers
Represent real-world situations with positive and negative integers
Represent real-world situations with positive and negative integers
Identify and create multiple representations of positive and negative integers and rational numbers
Identify and create multiple representations of positive and negative integers and rational numbers
Identify and represent positive and negative integers on a number line
Identify and represent positive and negative integers on a number line
Solve one-step problems involving operations with positive and negative integers and represent the operations on a number line
Solve one-step problems involving operations with positive and negative integers and represent the operations on a number line
Identify and represent rational numbers on a number line
Identify and represent rational numbers on a number line
Identify and represent approximations of irrational numbers on a number line
Identify and represent approximations of irrational numbers on a number line
Identify and represent the absolute values and opposites of numbers on a number line
Identify and represent the absolute values and opposites of numbers on a number line
Represent polygons with vertices at given coordinates on a coordinate grid
Represent polygons with vertices at given coordinates on a coordinate grid
Create polygons on the coordinate grid having specified characteristics (e.g., area, perimeter)
Create polygons on the coordinate grid having specified characteristics (e.g., area, perimeter)
Solve one-step problems, with and without context, involving operations with positive and negative integers
Addition and subtraction
Multiplication and division
Mixed operations
Solve one-step problems, with and without context, involving operations with positive and negative integers
Addition and subtraction
Multiplication and division
Mixed operations
Solve multi-step problems involving positive rational numbers
Solve multi-step problems involving positive rational numbers
Functions
Identify graphs of functions that are linear and nonlinear
Identify graphs of functions that are linear and nonlinear
Identify equations of functions that are linear and nonlinear
Identify equations of functions that are linear and nonlinear
Create input-output tables to represent functions
Create input-output tables to represent functions
Identify the rate of change of a linear function represented by a table
Identify the rate of change of a linear function represented by a table
Identify and create the equation of a linear function represented by a table
Identify and create the equation of a linear function represented by a table
Identify and create examples and non-examples of functions
Identify and create examples and non-examples of functions
Create and use graphs of linear functions to represent real-world situations
Create and use graphs of linear functions to represent real-world situations
Create equations, tables, and graphs to represent linear functions with given rates of change
Write equations and functions
Graph equations and functions
Create equations, tables, and graphs to represent linear functions with given rates of change
Write equations and functions
Graph equations and functions
Identify simple characteristics of graphs of functions (e.g., increasing, linear, etc.)
Identify simple characteristics of graphs of functions (e.g., increasing, linear, etc.)
Identify simple characteristics of different intervals of graphs of functions, with and without context
Identify simple characteristics of different intervals of graphs of functions, with and without context
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