Algebraic Reasoning Unit 1

Big Idea:

Student Expectations:

Focus TEKS

AR.2A 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;

AR.2B classify a function as linear, quadratic, cubic, and exponential when a function is represented tabularly using finite differences or common ratios as appropriate;

AR.2C determine the function that models a given table of related values using finite differences and its restricted domain and range; and

AR.2D 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.

AR.3A 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;

AR.3C verify that two functions are inverses of each other tabularly and graphically such as situations involving compound interest and interest rate, velocity and braking distance, and Fahrenheit-Celsius conversions;

AR.6B solve equations arising from questions asked about functions that model real-world applications, including linear and quadratic functions, tabularly, graphically, and symbolically;

AR.7A represent domain and range of a function using interval notation, inequalities, and set (builder) notation;

Student Learning Targets:

Essential Questions:

Extra Information:

Adopted Textbook:

District Grading Policy

Texas Gateway Online Resource Center