Alg2+Unit+2

**F-IF.2.** Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. **A-REI.10.** Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line). 1. Make sense of problems and perseveres in solving them. 2. Reasons abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity and repeated reasoning. || Remembering Understanding Applying Analyzing Evaluating Creating || ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Learning Target/Task Analysis**===
 * ===**Common Core Standard(s)**===
 * A-CED.2.** Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
 * A-CED.3**. Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context. //For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.//
 * A-REI.7**. Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line //y// = –3//x// and the circle //x//2 + //y//2 = 3.
 * F-IF.5**. Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. //For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.//★
 * F.IF.6**. Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.
 * F-IF.4**. For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. //Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity//.★
 * F-IF.7**. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.★
 * **b**. Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.
 * F-IF.9.** Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). //For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.// || ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Anchor Standard/Mathematical Practice(s)**===
 * ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Information Technology Standard**=== || ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Revised Bloom's Level of thinking**===

**I can...**

 * Use function notation
 * Evaluate the domains of functions
 * Interpret statements that use function notation
 * Create equations in two or more variables
 * Graph equations on coordinate axes
 * Find the solutions to an equation in two variables that are contained on the graph of that equation
 * Write and use a system of equations and/or inequalities to solve real world problems
 * Solve a system of a linear equation and a quadratic equation in two variables
 *  Relate the domain of a function to its graph
 * Interpret key features of a graph
 * Sketch graphs showing key features
 * Graph functions and identify key features by hand or technology
 * Identify intercepts, maximums and minimums of functions
 * Identify and graph square root, cube root, piecewise, exponential, logarithmic, trigonometric and absolute value functions
 * Compare properties of two functions

===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍===

**Essential Vocabulary**
function notation, domain, constraints, viable, nonviable, quantitative, interval, line of symmetry, end behavior, relative maximum, relative minimum, periodicity, square root function, cube root function, piece-wise function, step function, absolute value function

===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Sample Assessments**=== ===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Differentiation**===

===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Instructional Resources**===

===‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍**Notes and Additional Information**===