Domain: Reasoning with Equations and Cluster: Solve equations and inequalities in one variable. Inequalities Quarter 1: Quarter 2: Quarter 3: Quarter 4: Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x-p)2 = q that has the same solutions. Solve quadratic equations in one variable. Derive the quadratic formula by completing the square on a quadratic equation in x. Notes from Appendix A: Students should learn of the existence of the complex number system, but will not solve quadratics with complex solutions until Algebra II. Make sense of Reason abstractly Construct viable Model with Use appropriate Attend to Look for and Look for and problems and and quantitatively. arguments and mathematics. tools strategically. precision. make use of express regularity persevere in solving critique the structure. in repeated them. reasoning of others. reasoning. Evidence of Student Vocabulary Knowledge Skills Instructional Achievement Level Descriptors Attainment/Assessment Students: Completing the square Students know: Students understand/are able to: EEA-REI.3-4. N/A (See EEA-ECED.1-2.) Solve quadratic equations where Any real number has two Accurately use properties of equality both sides of the equation have square that is, if a is the 4) and other algebraic
Domain: Reasoning with Equations and Inequalities Cluster: Solve equations and inequalities in one variable. Quarter 1: Quarter 2: Quarter 3: Quarter 4: Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x-p)2 = q that has the same solutions. Solve quadratic equations in one variable. Derive the quadratic formula by completing the square on a quadratic equation in x. Notes from Appendix A: Students should learn of the existence of the complex number system, but will not solve quadratics with complex solutions until Algebra II. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. Evidence of Student Attainment/Assessment Vocabulary Knowledge Skills Instructional Achievement Level Descriptors Students: Solve quadratic equations where both sides of the equation have Completing the square Students know: Any real number has two square that is, if a is the Students understand/are able to: Accurately use properties of equality 4) and other algebraic EEA-REI.3-4. N/A (See EEA-ECED.1-2.)