TEKS Algebra II 03A-G
on Author: simmonsb
on TEKS Algebra II 02A-D
on 2A The student applies mathematical processes to understand that functions have distinct key attributes and understand the relationship between a function and its inverse.
2B graph and write the inverse of a function using notation such as f-ยน (x);
2C 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
2D use the composition of two functions, including the necessary restrictions on the domain, to determine if the functions are inverses of each other.
TEKS Algebra I 12A-E
on A.12A
Decide whether relations represented verbally, tabularly, graphically, and symbolically define a function.
A.12B
Evaluate functions, expressed in function notation, given one or more elements in their domains.
A.12C
Identify terms of arithmetic and geometric sequences when the sequences are given in function form using recursive processes.
A.12D
Write a formula for the nth term of arithmetic and geometric sequences, given the value of several of their terms.
A.12E
Solve mathematic and scientific formulas, and other literal equations, for a specified variable.
TEKS Algebra I 11A-B
on A.11A
Simplify numerical radical expressions involving square roots.
A.11B
Simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents.
TEKS Algebra I 10A-F
on A.10A
Add and subtract polynomials of degree one and degree two.
A.10B
Multiply polynomials of degree one and degree two.
A.10C
Determine the quotient of a polynomial of degree one and polynomial of degree two when divided by a polynomial of degree one and polynomial of degree two when the degree of the divisor does not exceed the degree of the dividend.
A.10D
Rewrite polynomial expressions of degree one and degree two in equivalent forms using the distributive property.
A.10E
Factor if possible trinomials with real factors in the form ax^2 + bx + c including perfect square trinomials of degree two.
A.10F
Decide if a binomial can be written as the difference of two squares and, if possible, use the structure of a difference of two squares to rewrite the binomial.
TEKS Algebra I 09A-E
on A.9A
Determine the domain and range of exponential functions of the form f(x) =ab^x and represent the domain and range using inequalities.
A.9B
Interpret the meaning of the values of a and b in exponential functions of the form f(x) = ab^x in real-world problems.
A.9C
Write exponential functions in the form f(x) = ab^ x (where b is a rational number) to describe problems arising from mathematical and real-world situations including growth and decay.
A.9D
Graph exponential functions that model growth and decay and identify key features including y-intercept and asymptote in mathematical and real-world problems.
A.9E
Write, using technology, exponential functions that provide a reasonable fit to data and make predictions for real-world problems.
TEKS Algebra I 08A-B
on A.8A
Solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula.
A.8B
Write, using technology, quadratic functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems.
TEKS Algebra I 07A-C
on A.7A
Graph quadratic functions on the coordinate plane and use the graph to identify key attributes if possible including x-intercept, y-intercept, zeros, maximum value, minimum values, vertex, and the equation of the axis of symmetry.
A.7B
Describe the relationship between the linear factors of quadratic expressions and the zeros of their associated quadratic functions.
A.7C
Determine the effects on the graph of the parent function f(x) =x^2 when f(x) is replaced by af(x), f(x) +d, f(x-c), f(bx) for specific values of a, b, c, and d.
TEKS Algebra I 06A-C
on A.6A
Determine the domain and range of quadratic functions and represent the domain and range using inequalities.
A.6B
Write equations of quadratic functions given the vertex and another point on the graph write the equation in vertex form (f(x) = a(x – h)^2+ k) and rewrite the equation from vertex form to standard form (f(x) = ax^2+ bx + c).
A.6C
Write quadratic functions when given real solutions and graphs of their related equations.
TEKS Algebra I 05A-C
on A.5A
Solve linear equations in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides.
A.5B
Solve linear inequalities in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides.
A.5C
Solve systems of two linear equations with two variables for mathematical and real-world problems.