Objective -- Square Root Functions (2-3 weeks)

[Scope and Sequence]
[Foundations For Functions][Parameter Changes][Linear][Quad Functions][Square Root Functions][Rational Functions][Exponential & Logarithmic][Conics]

This unit includes equations, inequalities, and systems. There should be an emphasis on the connection between the 5 representations: graph, table, problem situation, pictorial, symbolic. Within this unit, connections to foundations for functions and how all functions have same traits should be made.
Square Root Functions (2-3 weeks)
Objective	TEKS	TEKS Clarification	TAKS Objective	SATEC Lesson/Resources	SATEC Correlated Assessment	Dana Center Assessments	Resources/Text
Identify and sketch the square root function	2A.A	Revisit data activity from Foundations for Functions and reinforce common function characteristics. Revisit data to extend the investigation of Square Root functions to include writing equations, graphing and translating functions, and analyzing parameter changes in the context of situations Stress that the inverse of a quadratic function is not a function unless the domain of the quadratic is restricted. · Rationalizing denominators or multiplying by conjugate is not necessary. Use technology such as graphing calculators and/or computers to link multiple representations	Obj 1: Alg I A.1A, A.1B, A.1C, A.1D, A.1E Obj 2: Alg I A.2B, A.2C, A.2D, A.3A, A.3B, A.4A, A.4B	Impact Revisited Just A Swingin'	Just A Swingin'--Reflect and Apply		The Square Root Function
Describe limitations of domain and range of square root functions	2A.4A TEKS connection: 2A.1A			Just A Swingin'	Just A Swingin'--Reflect and Apply	I was Going How Fast?	The Square Root Function
Relate the various representations of the square root function.	2A.9B			Impact Revisited Just A Swingin'	Just A Swingin'--Reflect and Apply
Investigate, describe and predict the effect of parameter changes and describe limitations of domain and range on the square root function.	2A.9A 2A.4B TEKS connection: 2A.1A			Impact Revisited Just A Swingin'	Just A Swingin'--Reflect and Apply	Investigating the effects of Parameter Changes	Algebra II Institute Part I: 1.1, 2.1 The Square Root Function
Express inverses of quadratic functions using square root functions	2A.9F			Impact Revisited Just A Swingin'	Just A Swingin'--Reflect and Apply		Algebra II Institute Part I: 3.2
Formulate equations or inequalities to solve problems that can be modeled by square root functions	2A.9E			Impact Revisited Just A Swingin'	Just A Swingin'--Reflect and Apply	Pizza Pizza
Solve square root equations and inequalities using graphs, tables, and algebraic methods and determine the reasonableness of solutions.	2A.9D 2A.9C			Impact Revisited Just A Swingin'	Just A Swingin'--Reflect and Apply	I can See Forever
For a given application, identify the mathematical domain and range and the domain and range for the situation.	2A.1A			Just A Swingin'	Just A Swingin'--Reflect and Apply	Tic Toc	The Square Root Function
Collect and organize data , make scatterplots, fit the curve to a function, interpret the results, and model, predict, and make decisions.	2A.1B			Just A Swingin'	Just A Swingin'--Reflect and Apply
Recognize that functions can be denoted in many forms: y =, d =, y=, and f(x) = and determine which form is the most appropriate for a given situation.	2A.2C			Just A Swingin'	Just A Swingin'--Reflect and Apply
Students perceive functions and equations as means for analyzing and understanding relationships and as a tool for expressing generalizations.	BU A3				The Square Root Function
Use a variety of representations, tools, and technology and model situations to solve problems.	BU A5			Just A Swingin'	Just A Swingin'--Reflect and Apply
Use math processes throughout, including problem solving, computation, communication, connections, reasoning, multiple representations, modeling, and justification	BU A6						The Square Root Function
Extend parent functions with parameters and describe parameter changes of graphs of parent functions	2A.4B						The Square Root Function
Recognize inverse relationships between various functions.	2A.4C

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