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In this unit, students build on their knowledge from Unit 2, where they extend the laws of exponents to rational exponents. Students strengthen their ability to see structure in and create quadratic and exponential expressions. They create and solve equations and inequalities involving quadratic expressions. Standard N.RN.2 was added to this unit by Maryland educators. This standard deals with simplifying and performing operation on radicals which is a skill that is useful when working with the quadratic formula and later in Geometry. Students learn that some quadratic equations have no real solutions. In Algebra II students will revisit quadratic equations. At that time they will learn to extend the number system to include complex numbers allowing them to determine two solutions for equations such as +1=0 .
A question is essential when it stimulates multi-layered inquiry, provokes deep thought and lively discussion, requires students to consider alternatives and justify their reasoning, encourges re-thinking of big ideas, makes meaningful connections with prior learning, and provides students with opportunities to apply problem-solving skills to authentic situations.
Expressions and Equations
Additional information such as Teachers Notes, Enduring Understandings,Content Emphasis by Cluster, Focus Standards, Possible Student Outcomes, Essential Skills and Knowledge Statements and Clarifications, and Interdisciplinary Connections can be found in this Lesson Unit.