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Grade 11 Math Courses - Texas Curriculum
Discover Texas Grade 11 math courses, focusing on Algebra II. Explore advanced algebraic concepts, functions, and equations to prepare for college-level mathematics and standardized tests.
Texas Grade 11 Math Curriculum - Algebra II Topics
ID | Strand & Expectation | StudyPug Topic |
|---|---|---|
A2.2.A | Attributes of Functions and their Inverses: Graph the functions f(x)=√x, f(x)=1/x, f(x)=x^3, f(x)= ³√x, f(x)=b^x, f(x)= |
A2.2.B | Attributes of Functions and their Inverses: Graph and write the inverse of a function using notation such as f^-1(x) |
A2.2.C | Attributes of Functions and their Inverses: Describe and analyze the relationship between a function and its inverse (quadratic and square root, logarithmic and exponential), including the restriction(s) on domain, which will restrict its range |
A2.2.D | Attributes of Functions and their Inverses: Use the composition of two functions, including the necessary restrictions on the domain, to determine if the functions are inverses of each other |
A2.3.A | Systems of Equations and Inequalities: Formulate systems of equations, including systems consisting of three linear equations in three variables and systems consisting of two equations, the first linear and the second quadratic |
A2.3.B | Systems of Equations and Inequalities: Solve systems of three linear equations in three variables by using Gaussian elimination, technology with matrices, and substitution |
A2.3.E | Systems of Equations and Inequalities: Formulate systems of at least two linear inequalities in two variables |
A2.4.A | Quadratic and Square Root Functions, Equations, and Inequalities: Write the quadratic function given three specified points in the plane |
A2.4.B | Quadratic and Square Root Functions, Equations, and Inequalities: Write the equation of a parabola using given attributes, including vertex, focus, directrix, axis of symmetry, and direction of opening |
A2.4.C | Quadratic and Square Root Functions, Equations, and Inequalities: Determine the effect on the graph of f(x) = √x when f(x) is replaced by af(x), f(x) + d, f(bx), and f(x - c) for specific positive and negative values of a, b, c, and d |
A2.4.D | Quadratic and Square Root Functions, Equations, and Inequalities: Transform a quadratic function f(x) = ax^2 + bx + c to the form f(x) = a(x - h)^2 + k to identify the different attributes of f(x) |
A2.4.E | Quadratic and Square Root Functions, Equations, and Inequalities: Formulate quadratic and square root equations using technology given a table of data |
A2.4.F | Quadratic and Square Root Functions, Equations, and Inequalities: Solve quadratic and square root equations |
A2.4.H | Quadratic and Square Root Functions, Equations, and Inequalities: Solve quadratic inequalities |
A2.5.A | Exponential and Logarithmic Functions and Equations: Determine the effects on the key attributes on the graphs of f(x) = b^x and f(x) = log_b(x) where b is 2, 10, and e when f(x) is replaced by af(x), f(x) + d, and f(x - c) for specific positive and negative real values of a, c, and d |
A2.5.B | Exponential and Logarithmic Functions and Equations: Formulate exponential and logarithmic equations that model real-world situations, including exponential relationships written in recursive notation |
A2.5.C | Exponential and Logarithmic Functions and Equations: Rewrite exponential equations as their corresponding logarithmic equations and logarithmic equations as their corresponding exponential equations |
A2.5.D | Exponential and Logarithmic Functions and Equations: Solve exponential equations of the form y = ab^x where a is a nonzero real number and b is greater than zero and not equal to one and single logarithmic equations having real solutions |
A2.6.A | Cubic, Cube Root, Absolute Value and Rational Functions, Equations, and Inequalities: Analyze the effect on the graphs of f(x) = x^3 and f(x) = ³√x when f(x) is replaced by af(x), f(bx), f(x - c), and f(x) + d for specific positive and negative real values of a, b, c, and d |
A2.6.D | Cubic, Cube Root, Absolute Value and Rational Functions, Equations, and Inequalities: Formulate absolute value linear equations |
A2.6.F | Cubic, Cube Root, Absolute Value and Rational Functions, Equations, and Inequalities: Solve absolute value linear inequalities |
A2.6.G | Cubic, Cube Root, Absolute Value and Rational Functions, Equations, and Inequalities: Analyze the effect on the graphs of f(x) = 1/x when f(x) is replaced by af(x), f(bx), f(x-c), and f(x) + d for specific positive and negative real values of a, b, c, and d |
A2.6.H | Cubic, Cube Root, Absolute Value and Rational Functions, Equations, and Inequalities: Formulate rational equations that model real-world situations |
A2.6.K | Cubic, Cube Root, Absolute Value and Rational Functions, Equations, and Inequalities: Determine the asymptotic restrictions on the domain of a rational function and represent domain and range using interval notation, inequalities, and set notation |
A2.6.L | Cubic, Cube Root, Absolute Value and Rational Functions, Equations, and Inequalities: Formulate and solve equations involving inverse variation |
A2.7.A | Number and Algebraic Methods: Add, subtract, and multiply complex numbers |
A2.7.B | Number and Algebraic Methods: Add, subtract, and multiply polynomials |
A2.7.C | Number and Algebraic Methods: Determine the quotient of a polynomial of degree three and of degree four when divided by a polynomial of degree one and of degree two |
A2.7.D | Number and Algebraic Methods: Determine the linear factors of a polynomial function of degree three and of degree four using algebraic methods |
A2.7.E | Number and Algebraic Methods: Determine linear and quadratic factors of a polynomial expression of degree three and of degree four, including factoring the sum and difference of two cubes and factoring by grouping |
A2.7.F | Number and Algebraic Methods: Determine the sum, difference, product, and quotient of rational expressions with integral exponents of degree one and of degree two |
A2.7.G | Number and Algebraic Methods: Rewrite radical expressions that contain variables to equivalent forms |
A2.7.H | Number and Algebraic Methods: Solve equations involving rational exponents |
A2.7.I | Number and Algebraic Methods: Write the domain and range of a function in interval notation, inequalities, and set notation |
A2.8.A | Data: Analyze data to select the appropriate model from among linear, quadratic, and exponential models |
A2.8.B | Data: Use regression methods available through technology to write a linear function, a quadratic function, and an exponential function from a given set of data |
A2.8.C | Data: Predict and make decisions and critical judgments from a given set of data using linear, quadratic, and exponential models |
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