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.
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.
- Prentice Hall Geometry (textbook)
*Available as an iText course