Geometry Curriculum Map
Big Ideas
Triangles and
Trigonometry
Essential Questions
Concepts
special right triangles
right triangle trigonometry
pythagorean theorem/distance formula
pythagorean triples
simplifying radicals
similar triangles
perpendicular bisectors
How can you apply the
properties of triangles to solve medians
problems?
midpoint formula
midsegments
congruent triangles and CPCTC
Points of concurrency
+ law of sines/law of cosines
properties of quadrilaterals
Polygons
Circles
How can you apply the
properties of polygons to
solve problems?
interior and exterior angle measures
regular polygon
angles (central, inscribed)
arcs
chords
secants
How can you apply the
tangents
properties of circles to solve
locus of points
problems?
completing the square
Expressing Geometric How can the skills of Algebra slope as rate of change
Properties with
be used to solve geometric transformations
Equations
problems?
parallel/perpendicular
prisms and pyramids
cylinders and cones
spheres
Measurement
Geometric Terms
How can you apply the
properties of various figures
to find area and volume?
nets
Geometry is a vocabulary
intensive course
lines
planes
rays
angles
Skills
*apply the pythagorean theorem/ distance formula
*classify triangles based on sides and angles
*prove triangles congruent
*use congruent triangles and corresponding parts to solve
problems
*prove triangles similar
*use properties of similar triangles to solve problems
*find perpendicular bisectors
*find medians, midpoints and midsegments
construct and identify points of concurrency (orthocenter,
circumcenter, incenter, and centroid)
*apply the midpoint formulas
calculate missing measurements of right triangles using
trigonometric ratios
use special right triangle ratios to solve problems
Calculate and use the sum of the interior and exterior angle
measures of polygons
Calculate and use the angle measure of one interior angle of a
regular polygon
*apply properties of special quadrilaterals
Characterize the relationships between special quadrilaterals
Classify which special quadrilaterals are subsets of one another
*identify special quadrilaterals given properties
*use properties of tangents
find arc measures and arc lengths
apply properties of chords
Find angles measures of inscribed polygons
apply other angle relationships in circles
*find segment lengths in circles
use pi to solve problems
*write and graph equations of circles
factor quadratics by completing the square when leading coefficient
is 1
use slopes to determine if lines are parallel/perpendicular
perform and explain the transformation of coordinates algebraically
Use coordinates to prove simple geometric theorems algebraically
*demonstrate how area of triangles,rectangles, and circles can be
used to find areas of other geometric figures
find volume and surface area of solids
solvenets
problems
involvingarea
area, volume, and surface area
use
to find surface
circumference
polygon names
π
radius
point
Diameter
angles formed by parallel lines cut by a
transversal
OVERARCHING MATHEMATICAL PROCESSES
(incorporated throughout the curriculum)
Reasoning
Connections
Multiple Representations
Communication
Problem Solving