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Algebra II

Algebra II Course - Texas Curriculum

Master advanced algebraic concepts with our comprehensive Algebra II curriculum aligned to Texas standards. Build strong foundations in functions, systems, and mathematical modeling.

Texas Algebra II Course CurriculumHelp

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TX.A2.2.B

Graph and write the inverse of a function using notation such as f^-1(x)

TX.A2.2.C

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

TX.A2.2.D

Use the composition of two functions, including the necessary restrictions on the domain, to determine if the functions are inverses of each other

TX.A2.3.A

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

TX.A2.3.E

Formulate systems of at least two linear inequalities in two variables

TX.A2.4.A

Write the quadratic function given three specified points in the plane

TX.A2.4.B

Write the equation of a parabola using given attributes, including vertex, focus, directrix, axis of symmetry, and direction of opening

TX.A2.4.C

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

TX.A2.4.D

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)

TX.A2.4.E

Formulate quadratic and square root equations using technology given a table of data

TX.A2.4.H

Solve quadratic inequalities

TX.A2.5.A

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

TX.A2.5.B

Formulate exponential and logarithmic equations that model real-world situations, including exponential relationships written in recursive notation

TX.A2.5.C

Rewrite exponential equations as their corresponding logarithmic equations and logarithmic equations as their corresponding exponential equations

TX.A2.5.D

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

TX.A2.6.A

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

TX.A2.6.D

Formulate absolute value linear equations

TX.A2.6.F

Solve absolute value linear inequalities

TX.A2.6.G

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

TX.A2.6.H

Formulate rational equations that model real-world situations

TX.A2.6.K

Determine the asymptotic restrictions on the domain of a rational function and represent domain and range using interval notation, inequalities, and set notation

TX.A2.6.L

Formulate and solve equations involving inverse variation

TX.A2.7.A

Add, subtract, and multiply complex numbers

TX.A2.7.C

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

TX.A2.7.D

Determine the linear factors of a polynomial function of degree three and of degree four using algebraic methods

TX.A2.7.E

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

TX.A2.7.F

Determine the sum, difference, product, and quotient of rational expressions with integral exponents of degree one and of degree two

TX.A2.7.H

Solve equations involving rational exponents

TX.A2.7.I

Write the domain and range of a function in interval notation, inequalities, and set notation

TX.A2.8.A

Analyze data to select the appropriate model from among linear, quadratic, and exponential models

TX.A2.8.B

Use regression methods available through technology to write a linear function, a quadratic function, and an exponential function from a given set of data

TX.A2.8.C

Predict and make decisions and critical judgments from a given set of data using linear, quadratic, and exponential models