Units
Unit 5: Polynomial Functions (21 days)
Unit 6: Rational Exponents and Radical Functions (19 days)
TEKS/SEs
Unit 5: Polynomial Functions (21 days)
2A.2(A) graph the functions f(x) = , f(x) = 1/x, f(x) = ,
f(x) = , f(x) = , f(x) = x, and f(x) = where b is 2, 10, and e, and, when applicable, analyze the key attributes such as domain, range, intercepts, symmetries, asymptotic behavior, and maximum and minimum given an interval
2A.7(B) add, subtract, and multiply polynomials
2A.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
2A.7(D) determine the linear factors of a polynomial function of degree three and of degree four using algebraic methods
2A.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
2A.7(A) add, subtract, and multiply complex numbers
2A.6(A) analyze the effect on the graphs of f(x) = x3 and f(x) = 3√?? 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
2A.8(A) analyze data to select the appropriate model from among linear, quadratic, and exponential Models
2A.8(C) predict and make decisions and critical judgments from a given
set of data using linear, quadratic, and exponential models
Unit 6: Rational Exponents and Radical Functions (19 days)
2A.7(G) rewrite radical expressions that contain variables to equivalent forms
2A.2(A) graph the functions f(x) = , f(x) = 1/x, f(x) = ,
f(x) = , f(x) = , f(x) = x, and f(x) = where b is 2, 10, and e, and, when applicable, analyze the key attributes such as domain, range, intercepts, symmetries, asymptotic behavior, and maximum and minimum given an interval
2A.4(C) determine the effect on the graph of f(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
2A.4(E) formulate quadratic and square root equations using technology given a table of data
2A.6(A) analyze the effect on the graphs of f(x) = x3 and f(x) = 3√?? 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
2A.7(I) write the domain and range of a function in interval notation, inequalities, and set notation
2A.4(F) solve quadratic and square root equations
2A.4(G) identify extraneous solutions of square root equations
2A.6(B) solve cube root equations that have real roots
2A.7(H) solve equations involving rational exponents
2A.7(B) add, subtract, and multiply polynomials
2A.2(B) graph and write the inverse of a function using notation such as f –1(x)
2A.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
2A.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
2A.7(I) write the domain and range of a function in interval notation, inequalities, and set notation

Units
Unit 7: Exponential and Logarithmic Functions (19 days)
Unit 8: Rational Functions (18days)
TEKS/SEs
Unit 7: Exponential and Logarithmic Functions (19 days)
2A.2(A) graph the functions f(x) = , f(x) = 1/x, f(x) = ,
f(x) = , f(x) = , f(x) = x, and f(x) = where b is 2, 10, and e, and, when applicable, analyze the key attributes such as domain, range, intercepts, symmetries, asymptotic behavior, and maximum and minimum given an interval
2A.2(B) graph and write the inverse of a function using notation such as f –1(x)
2A.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
2A.5(C) rewrite exponential equations as their corresponding logarithmic equations and logarithmic
equations as their corresponding exponential equations
2A.5(A) determine the effects on the key attributes on the graphs of
f(x) = bx and f(x) = logb (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 o f a, c, and d
2A.5(D) solve exponential equations of the form y = abx 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
2A.5(E) determine the reasonableness of a solution to a logarithmic equation
2A.5(B) formulate exponential and logarithmic equations that model realworld situations, including
exponential relationships written in recursive notation
2A.8(A) analyze data to select the appropriate model from among linear, quadratic, and exponential
models
2A.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
2A.8(C) predict and make decisions and critical judgments from a given
set of data using linear, quadratic, and exponential models
2A.8(A) analyze data to select the appropriate model from among linear, quadratic, and exponential
Models
2A.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
2A.8(C) predict and make decisions and critical judgments from a given
set of data using linear, quadratic, and exponential models
Unit 8: Rational Functions (19 days)
2A.6(L) formulate and solve equations involving inverse variation
2A.2(A) graph the functions f(x) = , f(x) = 1/x, f(x) = ,
f(x) = , f(x) = , f(x) = x, and f(x) = where b is 2, 10, and e, and, when applicable, analyze the key attributes such as domain, range, intercepts, symmetries, asymptotic behavior, and maximum and minimum given an interval
2A.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
2A.6(H) formulate rational equations that model realworld situations
2A.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
2A.7(F) determine the sum, difference, product, and quotient of rational
expressions with integral exponents of degree one and of degree
two
2A.6(I) solve rational equations that have real solutions
2A.6(J) determine the reasonableness of a solution to a rational equation

Share This Page