Download Math Geometry Honors - Morgan County School District Re-3

Morgan County School District Re-3
Month
Content and Essential
Questions
August
Points, Lines, Planes & Angles
S. 5
September
Deductive Reasoning S. 4, S. 5
S. 4,
Parallel Lines & Planes S. 4, S. 5
October
Beginning with polygons S. 4, S. 5
Geometry Honors
Skills
Assessment
Use undefined terms (point, line, plane,
space)
Use & understand collinear, coplanar
& intersecting
Use parts of a line (ray & segment)
and find distance
Use the Segment Addition & Angle
Addition Postulate
Know the different types of angles
Use postulates & theorems relating to
points, lines and planes
Use conditional statements &
converses, as well as biconditionals.
Use the properties from algebra to do
algebraic proofs.
Justify statements using postulate,
theorems and/or definitions.
Begin formal proofs.
Use complimentary, supplementary
and vertical angles (both algebraic &
proof problems)
Use perpendicular lines (both
algebraic & proof problems)
Homework
Quizzes
Reading quizzes
Chapter Tests
Understand parallel & skew lines, as
well as parallel planes.
Identify corresponding, alternateinterior, and same-side-interior angles.
Use corr., a-i & s-s-i angles with
parallel lines.
Prove that lines are parallel
Classify triangles with sides and angles
Use the sum of the measures of the
angles of a triangle & its corollaries
Find measures of exterior angles of
triangles
Classify polygons
Find measures of angles of interior &
exterior angles
Homework
Quizzes
Reading Quizzes
Homework
Quizzes
Reading Quizzes
Chapter Test
Homework
Quizzes
Reading Quizzes
Resources
Morgan County School District Re-3
Month
November
Content and Essential
Questions
Geometry Honors
Skills
Assessment
Inductive Reasoning S. 2
Look for patterns in number & predict
the progress of the sequence.
Draw conclusions, based on patterns.
Homework
Chapter Test
Congruent Triangles S. 4, S. 5
Define & use congruence in figures
Prove triangles are congruent using
SSS, SAS, ASA, AAS, HL
Use corresponding parts of congruent
triangles (CPCTC)
Use the Isosceles Triangle Theorem,
its converse and its corollaries.
Use concurrent lines
**See October Calendar
Homework
Quizzes
Reading Quizzes
Chapter Test
Learn properties of parallelograms
Use properties to prove that
quadrilaterals are parallelograms
Identify and use properties of special
parallelograms
Identify and use properties of
trapezoids
Homework
Quizzes
Reading Quizzes
Chapter Test
Congruent Triangles
Quadrilaterals S. 4, S. 5
December
Quadrilaterals
Inequalities in Geometry S. 4, S. 5
January
Ratios, Proportions & Similarity
S. 4, S. 5, S. 6
Use theorems involving parallel lines
in triangles
**See November calendar
Use inverses and contrapositives of
statements
Use indirect proofs
Show if three lengths can form a
triangle
Determine order of lengths of sides of
triangles by angle measurements (and
vice verse)
Use ratios and proportions to find
length in geometric figures
Use similarity to find lengths of sides
Homework
Quizzes
Homework
Quizzes
Reading Quizzes
Resources
Morgan County School District Re-3
Month
Content and Essential
Questions
Right Triangles S. 4, S. 5, S. 6
February
Introducing Trigonometry S. 4, S. 5
Areas of Plane Figures S. 3, S. 4, S. 5,
S.6
Geometry Honors
Skills
Assessment
and/or measurements of angles
Use AA~, SAS~ and SSS~ to prove
triangles are similar.
Use Triangle Proportionality Theorem
and Triangle Angle Bisector Theorem
to find lengths of sides.
Chapter Test
Use similarity to find lengths in right
triangles
Use Pythagorean Theorem
Use the converse of the Pythagorean
Theorem to determine the type of
triangle
Use special right triangles (45-45-90
and 30-60-90).
Use sine, cosine, & tangent ratios
Problem solve, using sine cosine &
tangent
Homework
Quizzes
Reading Quizzes
Chapter Test
Find areas of parallelograms,
rectangles, squares, triangles,
trapezoids, circles and all regular
polygons.
Homework
Quizzes
Reading Quizzes
Chapter Test
Find arc lengths and sector areas.
Determine areas of figures, based on
ratios of similar figures.
Determine the probability of an event,
based an area.
Surface Areas and Volumes of Space
Figures S. 4, S. 5, S.
Find lateral areas, total areas, and
volumes of prisms, pyramids,
cylinders, and cones.
Homework
Quizzes
Reading Quizzes
Chapter Test
Resources
Morgan County School District Re-3
Month
March
Content and Essential
Questions
Continue with Space Figures
Circles S. 4, S. 5
Geometry Honors
Skills
Assessment
Find surface area and volume of
spheres
Determine the areas and volumes of
space figures, based on the ratio of
similar figures.
Identify segments, lines, and angles
associated with circles
Homework
Quizzes
Reading Quizzes
Chapter Test
Find measures of central and inscribed
angles, as well as those formed by
tangents, secants and chords. Also, find
measures of arcs based on various
angles.
Find lengths of segments associated
with circles.
April
Constructions & Loci
Use basic construction techniques to
find perpendicular bisectors, other
bisectors, and other perpendicular lines
to segments, as well as to construct a
congruent segment.
Use basic construction techniques to
find the bisector of an angle and to
congruent angles.
Use construction techniques to form
congruent triangles and to find the
concurrent lines of a triangle.
Use construction techniques to find
tangents of circles, as well as to
inscribe polygons in circles and
inscribe circles in polygons.
Make constructions based on loci.
Homework
Project
Resources
Morgan County School District Re-3
Month
May
Content and Essential
Questions
Coordinate Geometry S.2, S. 4, S. 5
Geometry Honors
Skills
Review Algebra concepts of graphing,
including use of graphing calculators.
Find the length of a segment, based on
the distance formula.
Find the equation of a circle, and use
the equation to sketch a circle on a
graph.
Use distance and slope to determine
types of parallelograms.
Find the midpoint of a segment, based
on the coordinates its endpoints.
Assessment
Homework
Quizzes
Reading Quizzes
Chapter Test
Resources