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Secondary Mathematics Curriculum Map
Grade Level/Course:_____Geometry_______________
Grading Period 1
Grading Period 1
1st 3-weeks
2nd 3-weeks
Concept:
1.2 Construct
1.3 Understand and
Standard(s):
congruent segments
use the relationships
and angles, angle
between special pairs
bisectors, and parallel of angles formed by
and perpendicular
parallel lines and
lines
transversals
Concept:
8.9 Perform basic
2.1 Identify and
Standard(s):
constructions,
describe convex,
describing and
concave, and regular
justifying the
polygons
procedures used.
Concept:
1.1 Find the lengths
2.5/3.3 Find and use
Standard(s):
and midpoints of line measures of sides,
segments in one- or
perimeters, and areas
two- dimensional
of polygons and
coordinate system
quadrilaterals.
Grading Period 1
3rd 3-weeks
8.3 Make conjectures
about geometric ideas.
Distinguish between
info that supports a
conjecture and proof of
conjecture.
8.4 Write and interpret
statements of the form
“if – then” and “if and
only if”
Grading Period 2
1st 3-weeks
4.2 Define, identify, and
construct altitudes,
medians, angle
bisectors, and
perpendicular bisectors
4.3 Construct triangles
congruent to given
triangles
4.5 Prove and apply
theorems involving
segments divided
proportionally.
8.5 State, use and
examine the validity of
the converse, inverse,
and contrapositive of
“if – then” statements.
4.6 Prove that triangles
are congruent or similar
and use the concept of
corresponding parts of
congruent triangles.
8.6 Identify and give
examples of undefined
terms, axioms, and
theorems, and
inductive and
deductive proofs.
8.7 Construct logical
arguments, judge their
validity, and give
counterexamples.
8.8 Write geometric
proofs, including proofs
by contradiction and
proofs involving
coordinate geometry.
4.8 Prove and apply the
inequality theorems:
triangle inequality,
inequality in one
triangle, and hinge
theorem.
4.2 Locate orthocenter,
incenter, circumcenter,
and centroid.
Concept:
Standard(s):
1.4 Use coordinate
geometry to find
slopes, parallel lines,
perpendicular lines,
and equations of lines
Concept:
Standard(s):
4.7 Solve problems by
relating the measures
of the sides and
perimeters of
triangles.
Undefined terms, point, line, plane, collinear, coplanar, two-dimensional,
three-dimensional, line segment, ray, angle, degree, vertex, postulate
(axiom), theorem, corollary, midpoint, bisect, acute angle, right angle,
obtuse angle, straight angle, congruent, construction, compass, straight
edge, protractor, complementary, supplementary, adjacent, linear pair,
vertical angles, convex, concave, conjecture, inductive reasoning,
deductive reasoning, counterexample, conditional statement,
biconditional statement, converse, inverse, contrapositive, truth value,
proof( paragraph, flow, two-column), skew, transversal, corresponding
angles
Vocabulary
4.1 Identify triangles
that are right, acute,
obtuse, scalene,
isosceles, equilateral,
and equiangular.
First Semester
Grading Period 2
2nd 3-weeks
4.4 Use properties of
congruent and similar
triangles to solve
problems involving
lengths and areas.
8.9 Perform basic
constructions, describing
and justifying the
procedures used.
Grading Period 2
3rd 3-weeks
4.1 Define scalene,
isosceles, equilateral, right,
obtuse, acute, and
equiangular. Classify
triangles by their sides and
angles.
4.2 Define altitudes,
medians, angle bisectors,
and perpendicular
bisectors.
4.7 Find and use the
measures of sides,
perimeters, and areas of
triangles. Relate these
measures to each other
using formulas.
4.8 Solve problems by
applying triangle inequality
theorem, theorems
involving inequalities, and
hinge theorem.
4.9 Use coordinate
geometry to prove
properties of triangles.
Scalene, isosceles, equilateral, equiangular, acute, obtuse, and right triangles,
interior and exterior angles of a triangle, corresponding parts, congruent triangles,
opposite side, opposite angle, included angle, included side, hypotenuse and legs
of right triangle, base angles and vertex angle of isosceles triangle, base and legs
of an isosceles triangle, midsegment, altitude, median, angle bisector,
perpendicular bisector, point of concurrency, orthocenter, centroid, incenter,
circumcenter, coordinate proof, ratio, proportion, scale, similar
Secondary Mathematics Curriculum Map
Grade Level/Course:________Geometry_______
Grading Period 3
Grading Period 3
st
1 3-weeks
2nd 3-weeks
Concept:
5.1 Prove and use the 3.4 Use coordinate
Standard(s):
Pythagorean
geometry to prove
Theorem
properties of
quadrilateral.
Concept:
Standard(s):
Concept:
Standard(s):
5.2 State/apply
relationships when
altitude is drawn to
hypotenuse of right
triangle
5.3 Use special right
triangles to solve
problems
2.2 Find measures of
interior and exterior
angles of polygons.
2.3 Use properties of
congruent and similar
polygons to solve
problems.
3.1 Describe
relationships among
the quadrilaterals.
Grading Period 3
3rd 3-weeks
3.3 Find, use
measures of sides,
perimeters, and areas
of quadrilaterals.
4.4 Use properties of
congruent triangles to
solve problems
involving lengths and
areas.
4.7 Recall formula for
perimeter and area of
triangles.
Concept:
Standard(s):
5.4 Define and use
trig functions in terms
of angles of right
triangles
Concept:
Standard(s):
5.5 Know the
3.2 Use properties of
relationship
congruent and similar
quadrilaterals to solve
sin + cos = 1
5.6 Solve word
problems.
problems involving
right triangles
Pythagorean Theorem, Pythagorean triple, geometric mean, isosceles
right triangle, trigonometric ratio, sine, cosine, tangent, cosecant,
secant, cotangent, arcsine, arccosine, arctangent, angle of elevation,
angle of depression, parallelogram, rectangle, rhombus, square,
trapezoid, isosceles trapezoid, midsegment of a trapezoid, bases and legs
of a trapezoid, kite, apothem, central angle
Vocabulary
4.7 Solve problems by
relating measures of
sides, perimeters, and
areas of triangles.
Grading Period 4
st
1 3-weeks
2.4 Apply transformations
to polygons to determine
congruence, similarity,
symmetry and
tessellations.
6.1 Find the center of a
given circle. Construct
circle through 3 given
points.
6.4 Construct tangents to
circles and circumscribe
and inscribe circles.
7.6 Identify and know
properties of congruent
and similar solids.
6.2 Define relationships
among: radius, diameter,
arc, measure of arc,
chord, secant, and
tangent.
Second Semester
Grading Period 4
Grading Period 4
2nd 3-weeks
3rd 3-weeks
6.3 Prove theorems
7.1 Describe and make
related to circles.
regular and non regular
polyhedral
6.5 Define arcs and
related angles (central,
inscribed, and
intersections of secants
and tangents).
6.6 Define and identify
congruent and
concentric circles.
7.2 Describe the
polyhedron that can be
made from a given net.
Describe the net for a
given problem.
7.3 Describe relationships
between the faces, edges,
and vertices of polyhedra.
6.7 Define/find/use
measure of
circumference, are
length, and areas of
circles and sectors.
6.8 Find the equation of
a circle in the coordinate
plane in terms of its
center and radius.
7.4 Describe symmetries of
geometric solids.
7.5 Describe sets of points
on spheres: chords,
tangents, and great circles.
7.7 Find/use measures of
sides, volumes of solids,
and surface areas of solids.
Polyhedron, face, edge, Platonic solid, tetrahedron, hexahedron, octahedron,
dodecahedron, icosahedrons, cross section, prism, pyramid, cylinder, cone, sphere,
great circle, slant height, lateral face, lateral edge, lateral area, right/oblique,
Cavalieri’s principle, chord, major arc, minor arc, arc length, sector, tangent line,
secant line, inscribed angle, intercepted arc, circumscribe, inscribe, standard
equation of a circle, transformation, congruence transformation, image, preimage,
translation, reflection, rotation, dilation, symmetry, tessellation