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Grade 11 Math Courses - Florida Curriculum

Discover Florida's Grade 11 math curriculum, featuring Algebra II. Explore advanced algebraic concepts, prepare for college-level mathematics, and build a strong foundation for future STEM courses.

Florida Grade 11 Math Curriculum - Algebra II

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FL Standard	Shortened Benchmark	StudyPug Topic
MA.912.AR.1.1	Identify and interpret parts of an equation or expression	What is a polynomial? Polynomial components

MA.912.AR.1.3

Add, subtract and multiply polynomial expressions

Multiplying monomial by monomial

Multiplying monomial by binomial

Multiplying binomial by binomial

Multiplying polynomial by polynomial

Adding and subtracting polynomials

MA.912.AR.1.5

Divide polynomial expressions

Polynomial long division

Polynomial synthetic division

MA.912.AR.1.6

Solve problems involving addition, subtraction, multiplication or division of polynomials

Applications of polynomials

MA.912.AR.1.8

Rewrite a polynomial expression as a product of polynomials

Common factors of polynomials

Factoring polynomials by grouping

Solving polynomials with unknown coefficients

Solving polynomials with unknown constant terms

Factoring polynomials: x^2 + bx + c

Applications of polynomials: x^2 + bx + c

Solving polynomials with the unknown "b" from ax^2 + bx + c

Factoring polynomials: ax^2 + bx + c

Factoring perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2

MA.912.AR.1.9

Add, subtract, multiply and divide rational algebraic expressions

Simplifying rational expressions and restrictions

Adding and subtracting rational expressions

Multiplying rational expressions

Dividing rational expressions

MA.912.AR.3.2

Solve one-variable quadratic equations over the real and complex number systems

Solving quadratic equations by factoring

Solving quadratic equations by completing the square

Using quadratic formula to solve quadratic equations

Nature of roots of quadratic equations: The discriminant

MA.912.AR.3.3

Solve and graph one-variable quadratic inequalities

Solving quadratic inequalities

MA.912.AR.3.8

Solve and graph problems modeled with quadratic functions

Graphing quadratic functions: General form VS. Vertex form

Finding the quadratic functions for given parabolas

Applications of quadratic functions

MA.912.AR.3.9

Write two-variable quadratic inequalities

Graphing quadratic inequalities in two variables

MA.912.AR.3.10

Graph two-variable quadratic inequalities

Graphing systems of quadratic inequalities

MA.912.AR.4.2

Solve one-variable absolute value inequalities

Solving absolute value inequalities

MA.912.AR.4.4

Solve and graph problems modeled with absolute value functions

Absolute value functions

MA.912.AR.5.2

Solve equations involving logarithms or exponential expressions

Solving logarithmic equations

Solving exponential equations using exponent rules

MA.912.AR.5.4

Write an exponential function to represent a relationship

Finding an exponential function given its graph

MA.912.AR.5.5

Solve exponential equations and interpret rate of change

Exponential growth and decay by percentage

MA.912.AR.5.7

Solve and graph problems modeled with exponential functions

Graphing exponential functions

Graphing transformations of exponential functions

MA.912.AR.5.8

Graph logarithmic functions and determine key features

Graphing logarithmic functions

MA.912.AR.5.9

Solve and graph problems modeled with logarithmic functions

Finding a logarithmic function given its graph

MA.912.AR.6.1

Solve polynomial equations of degree 3 or higher

Solving polynomial equations

MA.912.AR.6.5

Sketch a rough graph of a polynomial function

Characteristics of polynomial graphs

Multiplicities of polynomials

Imaginary zeros of polynomials

MA.912.AR.7.1

Solve radical equations

Solving radical equations

MA.912.AR.7.2

Graph square root or cube root functions

Radical functions and transformations

Basic radical functions

MA.912.AR.7.3

Solve and graph problems modeled with square root or cube root functions

Square root of a function

MA.912.AR.8.1

Solve rational equations

Solving rational equations

MA.912.AR.8.2

Graph rational functions

Graphing reciprocals of linear functions

Graphing reciprocals of quadratic functions

MA.912.AR.8.3

Solve and graph problems modeled with rational functions

Applications of rational equations

MA.912.AR.9.2

Solve a system of linear and non-linear equations

System of linear-quadratic equations

MA.912.AR.9.3

Solve a system of non-linear equations

System of quadratic-quadratic equations

MA.912.AR.9.5

Graph the solution set of a system of inequalities

Graphing systems of linear inequalities

MA.912.AR.9.7

Represent constraints as systems of equations or inequalities

Applications of inequalities

MA.912.DP.2.8

Fit a quadratic function to bivariate numerical data

Bivariate, scatter plots and correlation

MA.912.DP.2.9

Fit an exponential function to bivariate numerical data

Regression analysis

MA.912.F.1.1

Determine function type from equation, graph, or table

Function notation (advanced)

MA.912.F.1.7

Compare key features of two functions

One to one functions

MA.912.F.1.9

Determine whether a function is even, odd or neither

Even and odd functions

MA.912.F.2.2

Identify the effect of multiple transformations on a function

Combining transformations of functions

MA.912.F.2.3

Given graphs of f(x) and transformed f(x), state the transformation

Transformations of functions: Horizontal translations

Transformations of functions: Vertical translations

Reflection across the y-axis: y = f(-x)

Reflection across the x-axis: y = -f(x)

Transformations of functions: Horizontal stretches

Transformations of functions: Vertical stretches

MA.912.F.2.5

Create tables, equations, or graphs of transformed functions

Difference quotient: applications of functions

MA.912.F.3.2

Combine two or more functions using arithmetic operations

Adding functions

Subtracting functions

Multiplying functions

Dividing functions

Operations with functions

MA.912.F.3.4

Represent composition of two functions and determine domain and range

Composite functions

MA.912.F.3.6

Determine whether an inverse function exists

Inverse functions

MA.912.F.3.7

Represent inverse functions algebraically, graphically or in tables

Inequalities of combined functions

MA.912.FL.3.1

Compare simple, compound and continuously compounded interest

Finance: Compound interest

Continuous growth and decay

MA.912.FL.3.2

Solve problems involving simple, compound and continuously compounded interest

Exponential growth and decay by a factor

Exponential decay: Half-life

MA.912.FL.3.4

Explain relationships between interest types and growth types

Finance: Future value and present value

MA.912.NSO.1.3

Generate equivalent expressions with radicals or rational exponents

Convert between radicals and rational exponents

Exponents: Rational exponents

MA.912.NSO.1.5

Add, subtract, multiply and divide algebraic expressions with radicals

Conversion between entire radicals and mixed radicals

Adding and subtracting radicals

Multiplying radicals

Operations with radicals

MA.912.NSO.1.6

Evaluate and generate equivalent numerical expressions with logarithms

Converting from logarithmic form to exponential form

Evaluating logarithms without a calculator

Common logarithms

Natural log: ln

Evaluating logarithms using change-of-base formula

MA.912.NSO.1.7

Generate equivalent algebraic expressions with logarithms

Converting from exponential form to logarithmic form

Solving exponential equations with logarithms

Product rule of logarithms

Quotient rule of logarithms

Combining product rule and quotient rule in logarithms

Evaluating logarithms using logarithm rules

MA.912.NSO.2.1

Add, subtract, multiply and divide complex numbers

Introduction to imaginary numbers

Complex numbers and complex planes

Adding and subtracting complex numbers

Complex conjugates

Multiplying and dividing complex numbers

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