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### Chapter 11--Operations with Roots

 Essential Question:  How can we apply algebraic equations to geometric situation? Unit Rationale:  Applying exponents and roots to problem solving allows us to solve situation involving distance, navigation, construction, and design. As a result of this unit, students will be able to: Ø  Simplify radical expressions, and explain the value of using the exact value vs an approximation Ø  Use the Pythagorean Theorem or distance formula to solve problems modeled with right angles. Vocabulary: ·        Distance formula ·        Hypotenuse ·        Legs of a right triangle ·        Pythagorean theorem ·        Radical expression ·        Right triangle Standards: Standards will be assessed on both the state and classroom levels, however, standards with an asterisk (*) in the code will count for graduation requirements.  Focus Standards: *A1.2.C  Interpret and use integer exponents and square and cube roots, and apply the laws and properties of exponents to simplify and evaluate exponential expressions. Supporting Standards: A1.2.D  Determine whether approximations or exact values or real number are appropriate depending on the context, and justify the selection. Reasoning, Problem Solving, and Communication Standards: A1.8.F  Summarize mathematical ideas with precision and efficiency for a given audience and purpose.