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This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.

MA.912.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.1.2: : Generate equivalent monomial 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. Radicands are limited to monomial algebraic expressions.

MA.912.NSO.1.4: : Apply previous understanding of operations with rational numbers to add, subtract, multiply and divide numerical radicals.

MA.912.NSO.1.5: : Add, subtract, multiply and divide algebraic expressions involving radicals. Radicands are limited to monomial algebraic expressions.

MA.912.NSO.1.6: : Given an algebraic logarithmic expression, generate an equivalent algebraic expression using the properties of logarithms or exponents.

MA.912.NSO.2: : Represent and perform operations with expressions within the complex number system.

MA.912.NSO.2.1: : Extend previous understanding of the real number system to include the complex number system. Add, subtract, multiply and divide complex numbers.

MA.912.NSO.2.2: : Represent addition, subtraction, multiplication and conjugation of complex numbers geometrically on the complex plane.

MA.912.NSO.2.3: : Calculate the distance and midpoint between two numbers on the complex coordinate plane.

MA.912.NSO.2.4: : Solve mathematical and real-world problems involving complex numbers represented algebraically or on the coordinate plane.

MA.912.NSO.2.5: : Represent complex numbers on the complex plane in rectangular and polar forms. Explain why the rectangular and polar forms of a given complex number represent the same number.

MA.912.NSO.2.6: : Rewrite complex numbers to trigonometric form. Multiply complex numbers in trigonometric form.

MA.912.NSO.3: : Represent and perform operations with vectors.

MA.912.NSO.3.1: : Apply appropriate notation and symbols to represent vectors in the plane as directed line segments. Determine the magnitude and direction of a vector in component form.

MA.912.NSO.3.2: : Represent vectors in component form, linear form or trigonometric form. Rewrite vectors from one form to another.

MA.912.NSO.3.3: : Solve mathematical and real-world problems involving velocity and other quantities that can be represented by vectors.

MA.912.NSO.3.4: : Solve mathematical and real-world problems involving vectors in two dimensions using the dot product and vector projections.

MA.912.NSO.3.6: : Add and subtract vectors algebraically or graphically.

MA.912.NSO.3.7: : Given the magnitude and direction of two or more vectors, determine the magnitude and direction of their sum.

MA.912.NSO.3.8: : Multiply a vector by a scalar algebraically or graphically.

MA.912.NSO.3.9: : Compute the magnitude and direction of a vector scalar multiple.

MA.912.NSO.4: : Represent and perform operations with matrices.

MA.912.NSO.4.1: : Given a mathematical or real-world context, represent and manipulate data using matrices.

MA.912.NSO.4.2: : Given a mathematical or real-world context, represent and solve a system of two- or three-variable linear equations using matrices.

MA.912.NSO.4.3: : Solve mathematical and real-world problems involving addition, subtraction and multiplication of matrices.

MA.912.NSO.4.4: : Solve mathematical and real-world problems using the inverse and determinant of matrices.

MA.912.AR: : Algebraic Reasoning

MA.912.AR.1: : Interpret and rewrite algebraic expressions and equations in equivalent forms.

MA.912.AR.1.1: : Identify and interpret parts of an expression that represent a quantity in terms of a mathematical or real-world context, including viewing one or more of its parts as a single entity.

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.

MA.912.AR.1.5: : Divide polynomial expressions using long division, synthetic division and algebraic manipulation.

MA.912.AR.1.6: : Solve mathematical and real-world problems involving addition, subtraction, multiplication or division of polynomials.

MA.912.AR.1.7: : Rewrite a polynomial expression as a product of polynomials.

MA.912.AR.2: : Write, solve and graph linear equations, functions and inequalities in one and two variables.

MA.912.AR.2.1: : Given a real-world context, write and solve one-variable multi-step linear equations.

MA.912.AR.2.2: : Write a linear two-variable equation to represent relationships between quantities from a graph, a written description or a table of values within a mathematical or real-world context.

MA.912.AR.2.3: : Write a linear two-variable equation for a line that is parallel or perpendicular to a given line and goes through a given point.

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.

MA.912.AR.2.5: : Solve and graph mathematical and real-world problems that are modeled with linear functions. Interpret key features and determine domain constraints in terms of the context.

MA.912.AR.2.6: : Given a mathematical or real-world context, write and solve one-variable linear inequalities, including compound inequalities. Represent solutions algebraically or graphically.

MA.912.AR.2.7: : Write two-variable linear inequalities to represent relationships between quantities from a graph or a written description within a mathematical or real-world context.

MA.912.AR.2.8: : Given a mathematical or real-world context, graph the solution set to a two-variable linear inequality.

MA.912.AR.3: : Write, solve and graph quadratic equations, functions and inequalities in one and two variables.

MA.912.AR.3.1: : Given a mathematical or real-world context, write and solve one-variable quadratic equations over the real number system.

MA.912.AR.3.2: : Given a mathematical or real-world context, write and solve one-variable quadratic equations over the real and complex number systems.

MA.912.AR.3.3: : Given a mathematical or real-world context, write and solve one-variable quadratic inequalities over the real number system. Represent solutions algebraically or graphically.

MA.912.AR.3.4: : Write a quadratic function to represent the 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.3.5: : Given the x-intercepts and another point on the graph of a quadratic function, write the equation for the function.

MA.912.AR.3.6: : Given an expression or equation representing a quadratic function, determine the vertex and zeros and interpret them in terms of a real-world context.

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.

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.3.9: : Given a mathematical or real-world context, write two-variable quadratic inequalities to represent relationships between quantities from a graph or a written description.

MA.912.AR.3.10: : Given a mathematical or real-world context, graph the solution set to a two-variable quadratic inequality.

MA.912.AR.4: : Write, solve and graph absolute value equations, functions and inequalities in one and two variables.

MA.912.AR.4.1: : Given a mathematical or real-world context, write and solve one-variable absolute value equations.

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.4.3: : Given a table, equation or written description of an absolute value function, graph that function and determine its key features.

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 domain 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.5.1: : Solve one-variable exponential equations using the properties of exponents.

MA.912.AR.5.2: : Solve equations involving one-variable logarithms or exponents. Interpret solutions as viable in terms of the context and identify any extraneous solutions.

MA.912.AR.5.3: : Given a mathematical or real-world context, classify an exponential function as representing growth or decay.

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.5.5: : Given an expression or equation representing an exponential function, reveal the constant percent rate of change per unit interval using the properties of exponents. Interpret the constant percent rate of change in terms of a 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.5.7: : Solve and graph mathematical and real-world problems that are modeled with exponential functions. Interpret key features and determine domain 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.5.9: : 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.6: : Solve and graph polynomial equations and functions in one and two variables.

MA.912.AR.6.1: : Given a mathematical or real-world context, when suitable factorization is possible, solve one-variable polynomial equations of degree 3 or higher over the real and complex number systems.

MA.912.AR.6.2: : Explain and apply the Remainder Theorem.

MA.912.AR.6.3: : Given a table, equation or written description of a polynomial function of degree 3 or higher, graph that function and determine its key features.

MA.912.AR.6.4: : Sketch a rough graph of a polynomial function of degree 3 or higher using zeros, multiplicity and knowledge of end behavior.

MA.912.AR.6.5: : Solve and graph mathematical and real-world problems that are modeled with polynomial functions of degree 3 or higher. Interpret key features in terms of the context.

MA.912.AR.7: : Solve and graph radical equations and functions in one and two variables.

MA.912.AR.7.1: : Solve one-variable radical equations. Interpret solutions as viable in terms of context and identify any extraneous solutions.

MA.912.AR.7.2: : Given a table, equation or written description of a square root or cube root function, graph that function and determine its key features.

MA.912.AR.7.3: : Solve and graph mathematical and real-world problems that are modeled with square root or cube root functions. Interpret key features in context.

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.8.2: : Given a table, equation or written description of a rational function, graph that function and determine its key features.

MA.912.AR.8.3: : Solve and graph mathematical and real-world problems that are modeled with rational functions. Interpret key features in terms of the context.

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.9.1: : Given a mathematical or real-world context, write and solve a system of two-variable linear equations algebraically or graphically.

MA.912.AR.9.4: : Graph the solution set of a system of two-variable linear inequalities.

MA.912.AR.9.5: : Given a real-world context, represent constraints as systems of linear equations or inequalities. Interpret solutions to problems as viable or nonviable options.

MA.912.AR.9.7: : Solve real-world problems involving linear programming.

MA.912.AR.9.9: : Graph and solve 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.10: : Write and solve sequence and series equations, functions and inequalities in one and two variables.

MA.912.AR.10.1: : Given a mathematical or real-world context, write and solve problems involving arithmetic sequences.

MA.912.AR.10.2: : Given a mathematical or real-world context, write and solve problems involving geometric sequences.

MA.912.AR.10.5: : Given a mathematical or real-world context, write a sequence using function notation, defined explicitly or recursively, to represent relationships between quantities from a written description.

MA.912.AR.10.6: : Given a mathematical or real-world context, find the domain of a given sequence defined recursively or explicitly.

MA.912.F: : 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.

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.

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.

MA.912.F.1.4: : Demonstrate understanding of the concept of limit and estimate limits from graphs and tables of values, as related to the concept of the derivative of a function.

MA.912.F.1.5: : Compare key features of linear and nonlinear functions each represented in the same way, such as algebraically, graphically, in tables or written descriptions.

MA.912.F.1.6: : Compare key features of two functions each represented in a different way such as algebraically, graphically, in tables or written descriptions.

MA.912.F.1.7: : Determine whether a linear, quadratic or exponential function best models a given real-world situation.

MA.912.F.1.8: : Determine whether a function is even, odd or neither when represented algebraically, graphically or in a table.

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) 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.2.3: : 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.2.5: : Given two or more transformations and a function, create the table or graph of the transformed function.

MA.912.F.2.6: : Given a graph or table of values of two or more transformations of a function, write the equation of the transformed function.

MA.912.F.3: : Create new functions from existing functions.

MA.912.F.3.1: : Given a mathematical or real-world context, combine two functions, limited to linear and quadratic, 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.3.3: : Solve mathematical and real-world problems involving functions that have been combined using arithmetic operations.

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.3.9: : Solve mathematical and real-world problems involving inverse functions.

MA.912.FL: : Financial Literacy

MA.912.FL.1: : Determine simple and compound interest and demonstrate its relationship to functions. Calculate and use net present and net future values.

MA.912.FL.1.1: : Compare simple, compound and continuously compounded interest over time.

MA.912.FL.1.2: : Solve problems involving simple, compound and continuously compounded interest, including determining the present value and future value of money.

MA.912.FL.1.4: : Explain the relationship between compound interest and exponential growth and the relationship between continuously compounded interest and exponential growth.

MA.912.FL.1.6: : Solve problems involving potential profit and actual cost.

MA.912.FL.2: : Describe the advantages and disadvantages of short-term and long-term purchases.

MA.912.FL.2.2: : Calculate the finance charges and total amount due on a bill using various forms of credit.

MA.912.FL.2.7: : Solve problems involving student, personal and car loans, including finding the total amount to be paid, adjustable rates and refinancing options.

MA.912.FL.2.12: : Compare interest rate calculations and annual percentage rate calculations, and distinguish between the two rates.

MA.912.GR: : Geometric Reasoning

MA.912.GR.1: : Prove and apply geometric theorems to solve problems.

MA.912.GR.1.1: : Prove relationships and theorems about lines and angles. Solve mathematical and real-world problems involving postulates, relationships and theorems of lines and angles.

MA.912.GR.1.2: : Prove triangle congruence or similarity using Side-Side-Side, Side-Angle-Side, Angle-Side-Angle, Angle-Angle-Side, Angle-Angle and Hypotenuse-Leg.

MA.912.GR.1.3: : Prove relationships and theorems about triangles. Solve mathematical and real-world problems involving postulates, relationships and theorems of triangles.

MA.912.GR.1.4: : Prove relationships and theorems about parallelograms. Solve mathematical and real-world problems involving postulates, relationships and theorems of parallelograms.

MA.912.GR.1.5: : Prove relationships and theorems about trapezoids. Solve mathematical and real-world problems involving postulates, relationships and theorems of trapezoids.

MA.912.GR.1.6: : Solve mathematical and real-world problems involving congruence or similarity in two-dimensional figures.

MA.912.GR.2: : Apply properties of transformations to describe congruence or similarity.

MA.912.GR.2.1: : Given a preimage and image, describe the transformation and represent the transformation algebraically using coordinates.

MA.912.GR.2.2: : Identify transformations that do or do not preserve distance.

MA.912.GR.2.3: : Specify a sequence of transformations that will map a given figure onto itself or onto another congruent or similar figure.

MA.912.GR.2.5: : Apply rigid transformations to map one figure onto another to justify that the two figures are congruent.

MA.912.GR.2.6: : Justify the criteria for triangle congruence using the definition of congruence in terms of rigid transformations.

MA.912.GR.2.7: : Apply an appropriate transformation to map one figure onto another to justify that the two figures are similar.

MA.912.GR.2.8: : Justify the criteria for triangle similarity using the definition of similarity in terms of non-rigid transformations.

MA.912.GR.3: : Use coordinate geometry to solve problems or prove relationships.

MA.912.GR.3.1: : Given a mathematical or real-world context, use coordinate geometry to classify or justify definitions, properties and theorems involving circles, triangles or quadrilaterals.

MA.912.GR.3.2: : Solve geometric problems involving circles, triangles and quadrilaterals on the coordinate plane.

MA.912.GR.3.3: : Solve mathematical and real-world problems on the coordinate plane that involve finding the coordinates of a point on a line segment including the midpoint.

MA.912.GR.3.4: : Solve mathematical and real-world problems on the coordinate plane involving perimeter or area of polygons.

MA.912.GR.4: : Use geometric measurement and dimensions to solve problems.

MA.912.GR.4.1: : Identify the shapes of two-dimensional cross-sections of three-dimensional figures.

MA.912.GR.4.2: : Identify three-dimensional objects generated by rotations of two-dimensional figures.

MA.912.GR.4.3: : Determine how changes in dimensions affect the area of two-dimensional figures and the surface area or volume of three-dimensional figures.

MA.912.GR.4.4: : Solve mathematical and real-world problems involving the area of two-dimensional figures.

MA.912.GR.4.5: : Solve mathematical and real-world problems involving the volume of three-dimensional figures limited to cylinders, pyramids, prisms, cones and spheres.

Florida - Mathematics:

Benchmarks for Excellent Student Thinking Standards | Adopted: 2020

MA.912.NSO: : Number Sense and Operations

MA.912.AR: : Algebraic Reasoning

MA.912.F: : Functions

MA.912.FL: : Financial Literacy

MA.912.GR: : Geometric Reasoning