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“Honors Euclidean Geometry” – UNIT V: Enrichment Unit
“Geometry” published by HOLT, RINEHART, & WINSTON
ESSENTIAL STANDARD
#28—Identifies and evaluates tangent, sine, and
cosine ratios for an acute angle of a right
triangle; uses a table, calculator, or computer to
find the ratio for a given angle or find the angle
for a given ratio
#29—Uses the tangent, sine, and cosine ratios
for right triangles to solve application problems
such as indirect-measurement problems
COMPACT STANDARD
#3—Uses visualization skills to explore and
interpret both two- and three- dimensional
geometric figures using such topics as
projections, cross sections, and locus problems
#48—Uses coordinate methods to explore, make
conjectures, or prove properties of geometric
figures, using tools such as algebra, graphing, and
appropriate technology
ESSENTIAL
QUESTION
DEPTH for
MASTERY
Sections
COMMENTS
How do you solve a right
triangle using trigonometric
functions?
With calculator or
computer
10.1
10.2
Teach inverse sine and “arcsin” as
synonymous terminology
How is trigonometry used in
real world applications?
With calculator or
computer
10.1
10.2
Teach inverse sine and “arcsin” as
synonymous terminology
ESSENTIAL
QUESTION
DEPTH for
MASTERY
Sections
COMMENTS
How can visualization skills
help you explore both solid
and plane geometry?
Locus
Supplement
How can coordinate
methods be used to explore
geometry?
All
Supplement
Additional Topics that may be included:
 Geometric Proofs (flow/two-column/paragraph/coordinates)
 History of Mathematics
 Segments of Circles
 Alternate Area of Triangle Formulas (Heron’s/ ½bcsina)
 Law of Sines/Law of Cosines
 3D-space distance/quadrants/symmetry/surface area/volume
 Unit Circle and Trig. Identities (degrees only)
 Angular Speed to Linear Speed Conversions (dimensional analysis)
 Sequences (recursive, explicit)
Equations of Circles