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1st Semester Standards
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Geometry Teaching Tips.docx
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1st & 2nd Semester Final
1st sem geometry final.docx
2nd sem geometry final.docx
2nd sem geometry final2.docx
Geom Final 2010 final version.tst
Unit 1
Standard G.1.F Distinguish between definitions and undefined geometric terms and explain the role of definitions, undefined terms, postulates (axioms), and theorems.
Standard G.2.B Know, prove, and apply theorems about
angles, including angles that arise from
parallel lines intersected by a transversal.
Standard G.2.D Describe the intersections of lines in the plane
and in space, of lines and planes, and of
planes in space.
Standard G.2.C Explain and perform basic compass and
straightedge constructions related to parallel
and perpendicular lines.
Standard G.3.I
Explain and perform constructions related to
the circle.
Unit 2
Standard G.1.D Write the converse, inverse, and contrapositive
of a valid proposition and determine their validity
Standard G.1.E
errors or gaps in a mathematical argument and develop counterexamples
to refute invalid statements about geometric
relationships.
Standard G.1A: Distinguish between inductive and deductive reasoning
Standard G1.B: Use inductive reasoning to make conjectures, to test the plausibility of a geometric statement, and to help find a counterexample
Unit 3
Standard G.1.C Use deductive reasoning to prove that a valid
geometric statement is true.
Standard G.2.A Know, prove, and apply theorems about
parallel and perpendicular lines.
Unit 4
Standard G.3.A Know, explain, and apply basic postulates
and theorems about triangles and the special
lines, line segments, and rays associated with
a triangle.
Standard G.3.B Determine and prove triangle congruence,
triangle similarity, and other properties
of triangles.
Unit 5
Standard G.3.D
Know, prove, and apply the Pythagorean Theorem and its converse.
Unit 6
Standard G3C: Use the properties of special right triangles (30, 60, 90, and 45, 45, 90) to solve problems
Unit 7
Standard G3E: Solve problmes involiving the basic trigonometric ratios of sine, cosine, and tangent
Unit 8
Standard G.3.F Know, prove, and apply basic theorems
about parallelograms
Standard G.3.G Know, prove, and apply theorems about
properties of quadrilaterals and other polygons.
The following assignments are for standard G.3.F and G.3.G
Unit 9
Standard G.4.A Determine the equation of a line in
the coordinate plane that is described
geometrically, including a line through two
given points, a line through a given point
parallel to a given line, and a line through a
given point perpendicular to a given line.
Determine the coordinates of a point that is
described geometrically.
Standard G.4.C G.4.C Verify and apply properties of triangles and
quadrilaterals in the coordinate plane.
Unit 10
Standard G.3.J
Describe prisms, pyramids, parallelepipeds,
tetrahedra, and regular polyhedra in terms of
their faces, edges, vertices, and properties
Standard G.3.K G.3.K Analyze crosssections of cubes, prisms,
pyramids, and spheres and identify the
resulting shapes.
Standard G6C:
Standard G.6.D Predict and verify the effect that changing
one, two, or three linear dimensions has on
perimeter, area, volume, or surface area of two and threedimensional figures.
Unit 11
Standard G.6.F Solve problems involving measurement
conversions within and between systems,
including those involving derived units, and
analyze solutions in terms of reasonableness
of solutions and appropriate units.
Unit 12
Standard G.6.E Scientific Notation Use different degrees of precision in
measurement, explain the reason for using
a certain degree of precision, and apply
estimation strategies to obtain reasonable
measurements with appropriate precision for
a given purpose.
Standard G.6.E Precision Use different degrees of precision in
measurement, explain the reason for using
a certain degree of precision, and apply
estimation strategies to obtain reasonable
measurements with appropriate precision for
a given purpose
Unit 13
Standard G.5.A
Sketch results of transformations and
compositions of transformations for a given twodimensional figure on the coordinate plane, and describe the rule(s) for performing translations or for performing reflections about
Standard G.5.B Determine and apply properties of
transformations.
Standard G.5.C Given two congruent or similar figures in a coordinate plane, describe a composition of translations, reflections, rotations, and dilations
that superimposes one figure on the other.
Standard G.5.D Describe the symmetries of twodimensional figures and describe transformations, including
reflections across a line and rotations about a point.
Unit 14
Standard G.4.D
Determine the equation of a circle that is
described geometrically in the coordinate plane
and, given equations for a circle and a line,
determine the coordinates of their intersection(s).
G4D equations of a circle p1.pdf
G4D equations of a circle p2.pdf
G4D equations of a circle p3.pdf
G4D equations of a circle p4.pdf
G4D equations of a circle p5.pdf
Standard G.3.H
Know, prove, and apply basic theorems
relating circles to tangents, chords, radii,
secants, and inscribed angles.
Standard G.6.A Derive and apply formulas for arc length and
area of a sector of a circle.
The Following assignments are for the standards G.3.H and G.6A
Standard G.6.B
Analyze distance and angle measures on a
sphere and apply these measurements to the
geometry of the earth.
