Unit 4: Radicals, Reflections, Special Angles, and Constructions

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Essential Questions: 

  • How can we work with expressions involving radicals or factoring?
  • How can we reflect functions?
  • What special pairs of angles are formed by intersecting and parallel lines?
  • How can we perform basic constructions using compass and straightedge, patty paper, and Geometers Sketchpad
Content: 
  • Radicals
  • Factoring
  • The square root parent function
  • Reflecting functions
  • Special angles, including linear pairs, vertical pairs, and angles formed by parallel lines intersected by a transversal
  • Basic constructions using straightedge and compass, patty paper, and Geometers Sketchpad
Skills and Processes: 
  • Simplifying radicals and solving equations involving them
  • Factoring expressions
  • Graphing the square root parent function
  • Reflecting functions
  • Recognizing special angles and solving problems involving them
  • Performing basic constructions, including duplication and bisection of segments and angles, and creating parallel and perpendicular lines