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Geometry Part 2
LI.MAT.301311.2.PE
Course Length: 1 Semester
Has Textbook: Yes
Geometry Part 2 investigates similarity, right triangles and trigonometry, transformations, area, surface area, volume, and circles. A main purpose of the study of geometry is the development of reasoning ability. Geometry Part 2 emphasizes this focus through the use of technology, problem solving, and critical thinking.
It is recommended that students successfully complete Geometry Part 1 or equivalent course work before enrolling in this course.


Course Objectives

Unit 1: Essential Content and Skills

  • Write ratios and solve proportions.
  • Use AA, SAS, and SSS similarity statements and relationships in similar right triangles.
  • Apply the Side-Splitter Theorem and Triangle-Angle-Bisector Theorem.
  • Employ the properties of
  • Use sine, cosine, and tangent ratios to determine side lengths in triangles.
  • Solve problems using angles of elevation and depression.
  • Describe vectors and use vector addition.

Unit 2: Essential Content and Skills

  • Identify isometries.
  • Find translation and reflection images of figures.
  • Identify and draw rotation images of figures.
  • Recognize the type of symmetry in a figure.
  • Locate dilation images of figures and use a composition of reflections.
  • Identify transformations in tessellations and figures that will tessellate.
  • Find the area of a parallelogram, triangle, trapezoid, rhombus, kite, and regular polygon.

Unit 3: Essential Content and Skills

  • Find the perimeters and areas of similar figures and the area of polygons using trigonometry.
  • Use the Law of Sines and the Law of Cosines.
  • Find circumference, arc length, and the measures of central angles and arcs.
  • Discover the area of circles, sectors, and segments of circles.
  • Conclude the probability of events.
  • Examine space figures and cross sections.
  • Determine the surface area of a prism, a cylinder, a pyramid, and a cone.

Unit 4: Essential Content and Skills

  • Find the volume of a prism, a cylinder, a pyramid, and a cone as well as the surface area and volume of a sphere.
  • Determine relationships between the ratios of the areas and volumes of similar solids.
  • Use the relationship between a radius and a tangent and between two tangents from one point.
  • Employ congruent chords, arcs, and central angles.
  • Locate the measure of an inscribed angle as well as an angle formed by a tangent and a chord.
  • Find the measures of angles formed by chords, secants, and tangents, and the lengths of segments associated with circles.
  • Write an equation of a circle, find its center and its radius, and draw and describe a locus.

Course Materials

  • Prentice Hall Geometry (textbook)

*Available as an iText course

**NCAA approved