S1+Hale,+Jordan

=Stage 1 - Identify Desired Results= __**Contenet Area:**__ Algebra __**Grade:**__ Level: High School __**Domain:**__ Reasoning with Equations and Inequalities __**Standard:**__ Solve equations and inequalities with one variable. __**Cluster:**__ 3,4 ||
 * **Establish Goals (MLR or CCSS):** **(G)** ||
 * __**Common Core State Standards**__

//What understandings are desired?//
• the method of completing the square will transform any quadratic equation in the form (x-p)^2=q. • taking a square roots inspecting, completing the square, the quadratic formula and factoring are all appropriate methods for solving quadratic equations. ||
 * **//Students will understand that://** **(U)** ||
 * • linear equations and inequalities with one variable and a coefficient represented by letters can be solved for one variable.

//What essential questions will be considered?//
• What is the quadratic formula and why is it relevant? • How do you solve linear equations and inequalities with one variable represented by a letter? ||
 * **Essential Questions:** **(Q)** ||
 * • How do you solve one-variable quadratic equations and linear inequalities by taking square-roots, completing the square, the quadratic formula and factoring?

//What key knowledge and skills will students acquire as a result of this unit?//
minimum, constants, degree, imaginary numbers • **__Formulas:__** quadratic, point-slope, slope-intercept, FOIL, completing the square, graph, irrational numbers • **__Terminology:__** Completeing the square, quadratic equation/formula, solve, graph, compare, factor, a perfect square. || • **__Explain:__** Demonstrate how linear and quadratic inequalities/equations with one variable can be solved. • __**Interpret:**__ Illustrate how to complete the square. • **__Apply:__** Produce quadratic/linear inequalities/equations from word problems and know how to solve. • **__Perspective:__** Analyze quadratic equations in multiple forms and be able to solve. • **__Empathy:__** Consider all methods that can be use to solve quadratic/linear equations. • **__Self-Knowledge:__** Recognize which solving method would be best for a given quadratic/linear equation. ||
 * **//Students will know://** **(K)** || **//Students will be able to://** **(S)** ||
 * •**__Vocabulary:__** integer, variable, parabola, exponents, coefficient, factoring, maximum,


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