S1+Leal,+Samuel

=Stage 1 - Identify Desired Results= Content Area: Algebra Grade Level: High School Domain: Seeing Structure in Expressions Standard: Write expressions in equivalent forms to solve problems Clusters: 3, 4 ||
 * **Establish Goals (MLR or CCSS):** **(G)** ||
 * Common Core State Standards

//What understandings are desired?//
• max and min values of a function can be revealed by a method known as completing the square. • properties of exponents can be used to transform expressions for exponential functions. ||
 * **//Students will understand that://** **(U)** ||
 * • factoring is a way to reveal zeros of the functions it defines.

//What essential questions will be considered?//
• how to find the max and min of an expression by completing the square. • why is this exponent expression equal to another expression if they don't look exactly the same. ||
 * **Essential Questions:** **(Q)** ||
 * • how to solve for "x" by factoring and revealing zeros.

//What key knowledge and skills will students acquire as a result of this unit?//
• formula: completing the square, quadratic equation, FOIL y=x^2 + x +b. • definitions: exponent properties, expressions that are equal, how zeros help find max and min. || • demonstrate factoring as a way to reveal zeros of a function. • evaluate a function by factoring it out. • perform a mathematical method known as completing the square. • analyze exponential functions and transform them using properties. • relate two exponential functions by the properties of exponents. • recognize what the maximum and minimum of a function is. ||
 * **//Students will know://** **(K)** || **//Students will be able to://** **(S)** ||
 * • vocabulary: function, expression, exponent, factoring, zeros, max, min, variable, coefficient.


 * 2004 ASCD and Grant Wiggins and Jay McTighe.**