SelahLearn/texasteks huggingface dataset:
TEKS 111.7.b.8.A (Mathematics, 5): describe the key attributes of the coordinate plane, including perpendicular number lines (axes) where the intersection (origin) of the two lines coincides with zero on each number line and the given point (0, 0); the $x$-coordinate, the first number in an ordered pair, indicates movement parallel to the $x$-axis starting at the origin; and the $y$-coordinate, the second number, indicates movement parallel to the $y$-axis starting at the origin;
TEKS 111.28.b.4.A (Mathematics, 8): use similar right triangles to develop an understanding that slope, $m$, given as the rate comparing the change in $y$-values to the change in $x$-values, $(y_2 - y_1)/(x_2 - x_1)$, is the same for any two points $(x_1, y_1)$ and $(x_2, y_2)$ on the same line;
TEKS 111.39.c.3.E (Mathematics, Algebra I, Adopted 2012 (One Credit).): determine the effects on the graph of the parent function $f(x) = x$ 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 111.39.c.6.B (Mathematics, Algebra I, Adopted 2012 (One Credit).): 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 $(f(x) = ax^2+ bx + c)$; and
TEKS 111.39.c.7.C (Mathematics, Algebra I, Adopted 2012 (One Credit).): 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 111.40.c.2.A (Mathematics, Algebra II, Adopted 2012 (One-Half to One Credit).): graph the functions $f(x)=\sqrt{x}$, $f(x)=1/x$, $f(x)=x^3$, $f(x)= \sqrt[3]{x}$, $f(x)=b^x$, $f(x)=|x|$, and $f(x)=log_b (x)$ 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;
TEKS 111.40.c.4.C (Mathematics, Algebra II, Adopted 2012 (One-Half to One Credit).): determine the effect on the graph of $f(x) = \sqrt{x}$ 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 $d$;
TEKS 111.40.c.5.A (Mathematics, Algebra II, Adopted 2012 (One-Half to One Credit).): 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 $d$;
TEKS 111.40.c.6.A (Mathematics, Algebra II, Adopted 2012 (One-Half to One Credit).): analyze the effect on the graphs of $f(x) = x^3$ and $f(x) = \sqrt[3]{x}$ 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 $d$;
TEKS 111.40.c.6.C (Mathematics, Algebra II, Adopted 2012 (One-Half to One Credit).): analyze the effect on the graphs of $f(x) = |x|$ 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 $d$;
TEKS 111.40.c.6.G (Mathematics, Algebra II, Adopted 2012 (One-Half to One Credit).): 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 $d$;
TEKS 111.41.c.12.E (Mathematics, Geometry, Adopted 2012 (One Credit).): show that the equation of a circle with center at the origin and radius $r$ is $x^2 + y^2 = r^2$ and determine the equation for the graph of a circle with radius r and center $(h, k)$, $(x - h)^2 + (y - k)^2 =r^2$.
TEKS 111.42.c.2.G (Mathematics, Precalculus, Adopted 2012 (One-Half to One Credit).): graph functions, including exponential, logarithmic, sine, cosine, rational, polynomial, and power functions and their transformations, including $af(x)$, $f(x) + d$, $f(x - c)$, $f(bx)$ for specific values of $a$, $b$, $c$, and $d$, in mathematical and real-world problems;
TEKS 111.42.c.2.I (Mathematics, Precalculus, Adopted 2012 (One-Half to One Credit).): determine and analyze the key features of exponential, logarithmic, rational, polynomial, power, trigonometric, inverse trigonometric, and piecewise defined functions, including step functions such as domain, range, symmetry, relative maximum, relative minimum, zeros, asymptotes, and intervals over which the function is increasing or decreasing;
TEKS 111.44.c.2.H (Mathematics, Advanced Quantitative Reasoning, Adopted 2012 (One-Half to One Credit).): select and apply an algorithm of interest to solve real-life problems such as problems using recursion or iteration involving population growth or decline, fractals, and compound interest; the validity in recorded and transmitted data using checksums and hashing; sports rankings, weighted class rankings, and search engine rankings; and problems involving scheduling or routing situations using vertex-edge graphs, critical paths, Euler paths, and minimal spanning trees and communicate to peers the application of the algorithm in precise mathematical and nontechnical language.
TEKS 111.48.c.3.A (Mathematics, Algebraic Reasoning, Adopted 2015 (One Credit).): compare and contrast the key attributes, including domain, range, maxima, minima, and intercepts, of a set of functions such as a set comprised of a linear, a quadratic, and an exponential function or a set comprised of an absolute value, a quadratic, and a square root function tabularly, graphically, and symbolically;
TEKS 111.48.c.3.D (Mathematics, Algebraic Reasoning, Adopted 2015 (One Credit).): represent a resulting function tabularly, graphically, and symbolically when functions are combined or separated using arithmetic operations such as combining a 20% discount and a 6% sales tax on a sale to determine $h(x)$, the total sale, $f(x) = 0.8x$, $g(x) = 0.06(0.8x)$, and $h(x) = f(x) + g(x)$;
TEKS 111.48.c.3.E (Mathematics, Algebraic Reasoning, Adopted 2015 (One Credit).): model a situation using function notation when the output of one function is the input of a second function such as determining a function $h(x) = g(f(x)) = 1.06(0.8x)$ for the final purchase price, $h(x)$ of an item with price $x$ dollars representing a 20% discount, $f(x) = 0.8x$ followed by a 6% sales tax, $g(x) = 1.06x$; and