S1+McGinley,+Sarah

=Stage 1 - Identify Desired Results= Symbols and Expressions Grade 9 - Diploma Students understand and use polynomials and expressions with rational exponents. ||
 * **Establish Goals (MLR):** **(G)** ||
 * Maine Learning Results: Mathematics - D. Algebra

//What understandings are desired?//
• Algebra is made up of symbols, tables, graphs, and verbal rules that need to be chosen for the best representation and can convert from one to another. • Algebra contains rational exponents in polynomials and expressions and can use and understand them. ||
 * **//Students will understand that://** **(U)** ||
 * • Algebra is made up of equations that need to be simplified.

//What essential questions will be considered?//
• Why would you use certain representations in specific examples? • How would you use polynomials and expressions with rational exponents? ||
 * **Essential Questions:** **(Q)** ||
 * • How do you simplify equations?

//What key knowledge and skills will students acquire as a result of this unit?//
• Formulas: how to solve and apply literal equations, FOIL, completing the square, quadratics, slope-intercept, and point-slope formulas. • Critical Details: what it means to solve equations, use symbols, use graphs, verbal rules, and use different forms of equations. || • demonstrate how to simplify equations. • judge which representation of a symbol, table, graph, or use verbal rules. • produce simplified equations. • analyze rational exponents in polynomials and expressions and can use and understand them. • consider rational exponents in polynomials and expressions and can use and understand them. • recognize which representation of a symbol, table, graph, or use verbal rules. ||
 * **//Students will know://** **(K)** || **//Students will be able to://** **(S)** ||
 * • Terminology: what expression, equation, exponentials, solve, simplify, symbols, verbal rules, factoring, and inequalities mean.


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