Florida's B.E.S.T. Standards: Mathematics for College Algebra
Skills available for Florida Mathematics for College Algebra math standards
Strand
Print skill plan
MTR
Mathematical Thinking and Reasoning
MA.K12.MTR.1.1 Actively participate in effortful learning both individually and collectively.
MA.K12.MTR.1.1 Actively participate in effortful learning both individually and collectively.
MA.K12.MTR.2.1 Demonstrate understanding by representing problems in multiple ways.
Use manipulatives
Graph equations
Graph functions
Match graphs and functions
MA.K12.MTR.2.1 Demonstrate understanding by representing problems in multiple ways.
Use manipulatives
Graph equations
Graph functions
Match graphs and functions
MA.K12.MTR.3.1 Complete tasks with mathematical fluency.
Solve exponential equations
Evaluate functions
MA.K12.MTR.3.1 Complete tasks with mathematical fluency.
Solve exponential equations
Evaluate functions
MA.K12.MTR.4.1 Engage in discussions that reflect on the mathematical thinking of self and others.
MA.K12.MTR.4.1 Engage in discussions that reflect on the mathematical thinking of self and others.
MA.K12.MTR.5.1 Use patterns and structure to help understand and connect mathematical concepts.
MA.K12.MTR.5.1 Use patterns and structure to help understand and connect mathematical concepts.
MA.K12.MTR.6.1 Assess the reasonableness of solutions.
MA.K12.MTR.6.1 Assess the reasonableness of solutions.
MA.K12.MTR.7.1 Apply mathematics to real-world contexts.
Linear and exponential functions
Compound interest
Systems of equations
MA.K12.MTR.7.1 Apply mathematics to real-world contexts.
Linear and exponential functions
Compound interest
Systems of equations
NSO
Number Sense and Operations
MA.912.NSO.1 Generate equivalent expressions and perform operations with expressions involving exponents, radicals or logarithms.
MA.912.NSO.1 Generate equivalent expressions and perform operations with expressions involving exponents, radicals or logarithms.
MA.912.NSO.1.1: Extend previous understanding of the Laws of Exponents to include rational exponents. Apply the Laws of Exponents to evaluate numerical expressions and generate equivalent numerical expressions involving rational exponents.
MA.912.NSO.1.1: Extend previous understanding of the Laws of Exponents to include rational exponents. Apply the Laws of Exponents to evaluate numerical expressions and generate equivalent numerical expressions involving rational exponents.
MA.912.NSO.1.2: Generate equivalent algebraic expressions using the properties of exponents.
MA.912.NSO.1.2: Generate equivalent algebraic expressions using the properties of exponents.
MA.912.NSO.1.3: Generate equivalent algebraic expressions involving radicals or rational exponents using the properties of exponents.
Radical expressions
Rational exponents
MA.912.NSO.1.3: Generate equivalent algebraic expressions involving radicals or rational exponents using the properties of exponents.
Radical expressions
Rational exponents
MA.912.NSO.1.6: Given a numerical logarithmic expression, evaluate and generate equivalent numerical expressions using the properties of logarithms or exponents.
Convert between exponential and logarithmic forms
Evaluate logarithms
MA.912.NSO.1.6: Given a numerical logarithmic expression, evaluate and generate equivalent numerical expressions using the properties of logarithms or exponents.
Convert between exponential and logarithmic forms
Evaluate logarithms
MA.912.NSO.1.7: Given an algebraic logarithmic expression, generate an equivalent algebraic expression using the properties of logarithms or exponents.
MA.912.NSO.1.7: Given an algebraic logarithmic expression, generate an equivalent algebraic expression using the properties of logarithms or exponents.
AR
Algebraic Reasoning
MA.912.AR.1 Interpret and rewrite algebraic expressions and equations in equivalent forms.
MA.912.AR.1 Interpret and rewrite algebraic expressions and equations in equivalent forms.
MA.912.AR.1.2: Rearrange equations or formulas to isolate a quantity of interest.
MA.912.AR.1.2: Rearrange equations or formulas to isolate a quantity of interest.
MA.912.AR.1.3: Add, subtract and multiply polynomial expressions with rational number coefficients.
Addition and subtraction
Multiplication
MA.912.AR.1.3: Add, subtract and multiply polynomial expressions with rational number coefficients.
Addition and subtraction
Multiplication
MA.912.AR.1.5: Divide polynomial expressions using long division, synthetic division or algebraic manipulation.
MA.912.AR.1.5: Divide polynomial expressions using long division, synthetic division or algebraic manipulation.
MA.912.AR.1.9: Apply previous understanding of rational number operations to add, subtract, multiply and divide rational algebraic expressions.
MA.912.AR.1.9: Apply previous understanding of rational number operations to add, subtract, multiply and divide rational algebraic expressions.
MA.912.AR.2 Write, solve and graph linear equations, functions and inequalities in one and two variables.
MA.912.AR.2 Write, solve and graph linear equations, functions and inequalities in one and two variables.
MA.912.AR.2.4: Given a table, equation or written description of a linear function, graph that function, and determine and interpret its key features.
Identify key features
Graph linear functions
MA.912.AR.2.4: Given a table, equation or written description of a linear function, graph that function, and determine and interpret its key features.
Identify key features
Graph linear functions
MA.912.AR.2.5: Solve and graph mathematical and real-world problems that are modeled with linear functions. Interpret key features and determine constraints in terms of the context
MA.912.AR.2.5: Solve and graph mathematical and real-world problems that are modeled with linear functions. Interpret key features and determine constraints in terms of the context
MA.912.AR.3 Write, solve and graph quadratic equations, functions and inequalities in one and two variables.
MA.912.AR.3 Write, solve and graph quadratic equations, functions and inequalities in one and two variables.
MA.912.AR.3.7: Given a table, equation or written description of a quadratic function, graph that function, and determine and interpret its key features.
Characteristics of quadratic functions
Function tables
Graphs
MA.912.AR.3.7: Given a table, equation or written description of a quadratic function, graph that function, and determine and interpret its key features.
Characteristics of quadratic functions
Function tables
Graphs
MA.912.AR.3.8: Solve and graph mathematical and real-world problems that are modeled with quadratic functions. Interpret key features and determine constraints in terms of the context.
MA.912.AR.3.8: Solve and graph mathematical and real-world problems that are modeled with quadratic functions. Interpret key features and determine constraints in terms of the context.
MA.912.AR.4 Write, solve and graph absolute value equations, functions and inequalities in one and two variables.
MA.912.AR.4 Write, solve and graph absolute value equations, functions and inequalities in one and two variables.
MA.912.AR.4.2: Given a mathematical or real-world context, write and solve one-variable absolute value inequalities. Represent solutions algebraically or graphically.
MA.912.AR.4.2: Given a mathematical or real-world context, write and solve one-variable absolute value inequalities. Represent solutions algebraically or graphically.
MA.912.AR.4.4: Solve and graph mathematical and real-world problems that are modeled with absolute value functions. Interpret key features and determine constraints in terms of the context.
MA.912.AR.4.4: Solve and graph mathematical and real-world problems that are modeled with absolute value functions. Interpret key features and determine constraints in terms of the context.
MA.912.AR.5 Write, solve and graph exponential and logarithmic equations and functions in one and two variables.
MA.912.AR.5 Write, solve and graph exponential and logarithmic equations and functions in one and two variables.
MA.912.AR.5.2: Solve one-variable equations involving logarithms or exponential expressions. Interpret solutions as viable in terms of the context and identify any extraneous solutions.
Exponential equations
Logarithmic equations
MA.912.AR.5.2: Solve one-variable equations involving logarithms or exponential expressions. Interpret solutions as viable in terms of the context and identify any extraneous solutions.
Exponential equations
Logarithmic equations
MA.912.AR.5.4: Write an exponential function to represent a relationship between two quantities from a graph, a written description or a table of values within a mathematical or real-world context.
MA.912.AR.5.4: Write an exponential function to represent a relationship between two quantities from a graph, a written description or a table of values within a mathematical or real-world context.
MA.912.AR.5.6: Given a table, equation or written description of an exponential function, graph that function and determine its key features.
MA.912.AR.5.6: Given a table, equation or written description of an exponential function, graph that function and determine its key features.
MA.912.AR.5.7: Solve and graph mathematical and real-world problems that are modeled with exponential functions. Interpret key features and determine constraints in terms of the context.
MA.912.AR.5.7: Solve and graph mathematical and real-world problems that are modeled with exponential functions. Interpret key features and determine constraints in terms of the context.
MA.912.AR.5.8: Given a table, equation or written description of a logarithmic function, graph that function and determine its key features.
MA.912.AR.5.8: Given a table, equation or written description of a logarithmic function, graph that function and determine its key features.
MA.912.AR.5.9: Solve and graph mathematical and real-world problems that are modeled with logarithmic functions. Interpret key features and determine constraints in terms of the context.
MA.912.AR.5.9: Solve and graph mathematical and real-world problems that are modeled with logarithmic functions. Interpret key features and determine constraints in terms of the context.
MA.912.AR.7 Solve and graph radical equations and functions in one and two variables.
MA.912.AR.7 Solve and graph radical equations and functions in one and two variables.
MA.912.AR.7.1: Solve one-variable radical equations. Interpret solutions as viable in terms of context and identify any extraneous solutions.
MA.912.AR.7.1: Solve one-variable radical equations. Interpret solutions as viable in terms of context and identify any extraneous solutions.
MA.912.AR.8 Solve and graph rational equations and functions in one and two variables.
MA.912.AR.8 Solve and graph rational equations and functions in one and two variables.
MA.912.AR.8.1: Write and solve one-variable rational equations. Interpret solutions as viable in terms of the context and identify any extraneous solutions.
MA.912.AR.8.1: Write and solve one-variable rational equations. Interpret solutions as viable in terms of the context and identify any extraneous solutions.
MA.912.AR.9 Write and solve a system of two- and three-variable equations and inequalities that describe quantities or relationships.
MA.912.AR.9 Write and solve a system of two- and three-variable equations and inequalities that describe quantities or relationships.
MA.912.AR.9.4: Graph the solution set of a system of two-variable linear inequalities.
MA.912.AR.9.4: Graph the solution set of a system of two-variable linear inequalities.
MA.912.AR.9.6: Given a real-world context, represent constraints as systems of linear equations or inequalities. Interpret solutions to problems as viable or nonviable options.
Linear inequalities
Systems of equations
MA.912.AR.9.6: Given a real-world context, represent constraints as systems of linear equations or inequalities. Interpret solutions to problems as viable or nonviable options.
Linear inequalities
Systems of equations
MA.912.AR.9.10: Solve and graph mathematical and real-world problems that are modeled with piecewise functions. Interpret key features and determine constraints in terms of the context.
MA.912.AR.9.10: Solve and graph mathematical and real-world problems that are modeled with piecewise functions. Interpret key features and determine constraints in terms of the context.
F
Functions
MA.912.F.1 Understand, compare and analyze properties of functions.
MA.912.F.1 Understand, compare and analyze properties of functions.
MA.912.F.1.1: Given an equation or graph that defines a function, determine the function type. Given an input-output table, determine a function type that could represent it.
Identify linear functions
Identify linear, quadratic, and exponential functions
MA.912.F.1.1: Given an equation or graph that defines a function, determine the function type. Given an input-output table, determine a function type that could represent it.
Identify linear functions
Identify linear, quadratic, and exponential functions
MA.912.F.1.2: Given a function represented in function notation, evaluate the function for an input in its domain. For a real-world context, interpret the output.
Evaluate a function
Interpret function notation
Tables and graphs
MA.912.F.1.2: Given a function represented in function notation, evaluate the function for an input in its domain. For a real-world context, interpret the output.
Evaluate a function
Interpret function notation
Tables and graphs
MA.912.F.1.3: Calculate and interpret the average rate of change of a real-world situation represented graphically, algebraically or in a table over a specified interval.
Rate of change
Constant of variation
Slope
MA.912.F.1.3: Calculate and interpret the average rate of change of a real-world situation represented graphically, algebraically or in a table over a specified interval.
Rate of change
Constant of variation
Slope
MA.912.F.1.6: Compare key features of linear and nonlinear functions each represented algebraically, graphically, in tables or written descriptions.
MA.912.F.1.6: Compare key features of linear and nonlinear functions each represented algebraically, graphically, in tables or written descriptions.
MA.912.F.2 Identify and describe the effects of transformations on functions. Create new functions given transformations.
MA.912.F.2 Identify and describe the effects of transformations on functions. Create new functions given transformations.
MA.912.F.2.1: Identify the effect on the graph or table of a given function after replacing f(x) by f(x) + k, kf(x), f(kx) and f(x + k) for specific values of k.
MA.912.F.2.1: Identify the effect on the graph or table of a given function after replacing f(x) by f(x) + k, kf(x), f(kx) and f(x + k) for specific values of k.
MA.912.F.2.2: Identify the effect on the graph of a given function of two or more transformations defined by adding a real number to the x- or y-values or multiplying the x- or y-values by a real number.
MA.912.F.2.2: Identify the effect on the graph of a given function of two or more transformations defined by adding a real number to the x- or y-values or multiplying the x- or y-values by a real number.
MA.912.F.2.3: Given the graph or table of f(x) and the graph or table of f(x) + k, kf(x), f(kx) and f(x + k), state the type of transformation and find the value of the real number k.
MA.912.F.2.3: Given the graph or table of f(x) and the graph or table of f(x) + k, kf(x), f(kx) and f(x + k), state the type of transformation and find the value of the real number k.
MA.912.F.2.4: Given the graph or table of values of two or more transformations of a function, state the type of transformation and find the values of the real number that defines the transformation.
MA.912.F.2.4: Given the graph or table of values of two or more transformations of a function, state the type of transformation and find the values of the real number that defines the transformation.
MA.912.F.2.5: Given a table, equation or graph that represents a function, create a corresponding table, equation or graph of the transformed function defined by adding a real number to the x- or y- values or multiplying the x- or y- values by a real number.
MA.912.F.2.5: Given a table, equation or graph that represents a function, create a corresponding table, equation or graph of the transformed function defined by adding a real number to the x- or y- values or multiplying the x- or y- values by a real number.
MA.912.F.3 Create new functions from existing functions.
MA.912.F.3 Create new functions from existing functions.
MA.912.F.3.2: Given a mathematical or real-world context, combine two or more functions, limited to linear, quadratic, exponential and polynomial, using arithmetic operations. When appropriate, include domain restrictions for the new function.
MA.912.F.3.2: Given a mathematical or real-world context, combine two or more functions, limited to linear, quadratic, exponential and polynomial, using arithmetic operations. When appropriate, include domain restrictions for the new function.
MA.912.F.3.4: Represent the composition of two functions algebraically or in a table. Determine the domain and range of the composite function.
Composition of linear functions
Composition of linear and quadratic functions
MA.912.F.3.4: Represent the composition of two functions algebraically or in a table. Determine the domain and range of the composite function.
Composition of linear functions
Composition of linear and quadratic functions
MA.912.F.3.6: Determine whether an inverse function exists by analyzing tables, graphs and equations.
MA.912.F.3.6: Determine whether an inverse function exists by analyzing tables, graphs and equations.
MA.912.F.3.7: Represent the inverse of a function algebraically, graphically or in a table. Use composition of functions to verify that one function is the inverse of the other.
MA.912.F.3.7: Represent the inverse of a function algebraically, graphically or in a table. Use composition of functions to verify that one function is the inverse of the other.