Common Core
TexasAlgebraic Reasoning Course - Texas Curriculum
Master Algebraic Reasoning with comprehensive Texas curriculum coverage. Explore function analysis, polynomial operations, and matrix mathematics through structured learning pathways.
Texas Algebraic Reasoning Course CurriculumHelp
ID | Standard | 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 |