TexasAlgebraic Reasoning
Texas 12th Grade Algebraic Reasoning Curriculum
Video lessons and practice for every 12th grade Algebraic Reasoning topic. Aligned to Texas Essential Knowledge and Skills (TEKS) standards for high school math success.
Texas 12th Grade Algebraic Reasoning | StudyPugHelp
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ID | Strand & Expectation | StudyPug Topic |
|---|---|---|
TX.AR.2.A | Determine the patterns that identify the relationship between a function and its common ratio or related finite differences as appropriate, including linear, quadratic, cubic, and exponential functions |
TX.AR.2.B | Classify a function as linear, quadratic, cubic, and exponential when a function is represented tabularly using finite differences or common ratios as appropriate |
TX.AR.2.C | Determine the function that models a given table of related values using finite differences and its restricted domain and range |
TX.AR.2.D | Determine a function that models real-world data and mathematical contexts using finite differences such as the age of a tree and its circumference, figurative numbers, average velocity, and average acceleration |
TX.AR.3.A | Compare and contrast the key attributes of a set of functions such as linear, quadratic, and exponential |
TX.AR.3.B | Compare and contrast the key attributes of a function and its inverse when it exists |
TX.AR.3.C | Verify that two functions are inverses of each other tabularly and graphically |
TX.AR.3.D | Represent a resulting function tabularly, graphically, and symbolically when functions are combined or separated using arithmetic operations |
TX.AR.3.E | Model a situation using function notation when the output of one function is the input of a second function |
TX.AR.3.F | Compare and contrast a function and possible functions that can be used to build it |
TX.AR.4.A | Connect tabular representations to symbolic representations when adding, subtracting, and multiplying polynomial functions |
TX.AR.4.B | Compare and contrast the results when adding two linear functions and multiplying two linear functions |
TX.AR.4.C | Determine the quotient of a polynomial function of degree three and of degree four when divided by a polynomial function of degree one and of degree two when represented tabularly and symbolically |
TX.AR.4.D | Determine the linear factors of a polynomial function of degree two and of degree three when represented symbolically and tabularly and graphically where appropriate |
TX.AR.5.A | Add and subtract matrices |
TX.AR.5.B | Multiply matrices |
TX.AR.5.C | Multiply matrices by a scalar |
TX.AR.5.D | Represent and solve systems of two linear equations arising from mathematical and real-world situations using matrices |
TX.AR.5.E | Represent and solve systems of three linear equations arising from mathematical and real-world situations using matrices and technology |
TX.AR.6.B | Solve equations arising from questions asked about functions that model real-world applications, including linear and quadratic functions |
TX.AR.6.C | Approximate solutions to equations arising from questions asked about exponential, logarithmic, square root, and cubic functions that model real-world applications |
TX.AR.7.A | Represent domain and range of a function using interval notation, inequalities, and set notation |
TX.AR.7.C | Determine the accuracy of a prediction from a function that models a set of data compared to the actual data |
TX.AR.7.D | Determine an appropriate function model, including linear, quadratic, and exponential functions, for a set of data arising from real-world situations using finite differences and average rates of change |