|Starting Dates||Block Spr||None||Mar 16th||Nov 12th||May 18th||Notes|
|Block Fall||None||Oct 13th||Mar 16th||Jan 5th|
|Traditional||Oct 13th||Jan 5th||Bmk 3||May 18th|
|Geometry||Star||Bmk 1||Bmk 2||Bmk 4|
|Logic and Geometric Proofs||22.67||17||24||20||19|
|1.0* Students demonstrate understanding by
identifying and giving examples of
undefined terms, axioms, theorems, and inductive and deductive reasoning
|2.0* Students write geometric proofs, including proofs by contradiction.||3||4||3||2||2|
|3.0* Students construct and judge the validity of
a logical argument and give
counterexamples to disprove a statement.
|4.0* Students prove basic theorems involving congruence and similarity.||5||6||5||4|
|5.0 Students prove that triangles are congruent
or similar, and they are able to
use the concept of corresponding parts of congruent triangles.
|2||3||3||3||2: no Similar|
|6.0 Students know and are able to use the triangle inequality theorem.||1||2||2||1|
|7.0* Students prove and use theorems involving
the properties of parallel lines
cut by a transversal, the properties of quadrilaterals, and the properties of circles.
|5.67||6||5||4||5||1/2: No Circles or
|Volume and Area Formulas||11||0||0||0||10|
|8.0* Students know, derive, and solve problems
circumference, area, volume, lateral area, and surface area of common geometric
|10.0* Students compute areas of polygons,
including rectangles, scalene
triangles, equilateral triangles, rhombi, parallelograms, and trapezoids.
|9.0 Students compute the volumes and surface
areas of prisms, pyramids,
cylinders, cones, and spheres; and students commit to memory the formulas for
prisms, pyramids, and cylinders.
|11.0 Students determine how changes in dimensions
affect the perimeter, area,
and volume of common geometric figures and solids.
|Angle relationships, constructions and lines||16.33||5||12||13||14|
|12.0* Students find and use measures of sides and
of interior and exterior angles
of triangles and polygons to classify figures and solve problems.
|13.0 Students prove relationships between angles
in polygons by using properties
of complementary, supplementary, vertical, and exterior angles.
|14.0* Students prove the Pythagorean theorem.||0.33|
|15.0 Students use the Pythagorean theorem to
determine distance and find
missing lengths of sides of right triangles.
|16.0* Students perform basic constructions with a
straightedge and compass,
such as angle bisectors, perpendicular bisectors, and the line parallel to a given
line through a point off the line.
|4||5||2||2||2||1: No Perp Bisect or
line par to pts
|17.0* Students prove theorems by using coordinate
geometry, including the
midpoint of a line segment, the distance formula, and various forms of equations
of lines and circles.
|18.0* Students know the definitions of the basic
trigonometric functions defined
by the angles of a right triangle. They also know and are able to use elementary
relationships between them. For example, tan(x ) = sin(x )/cos(x ), (sin (x ))2 +
(cos (x ))2 = 1
|19.0* Students use trigonometric functions to
solve for an unknown length of a
side of a right triangle, given an angle and a length of a side.
|20.0 Students know and are able to use angle and
side relationships in problems
with special right triangles, such as 30°, 60°, and 90° triangles and 45°, 45°, and
|21.0* Students prove and solve problems regarding
relationships among chords,
secants, tangents, inscribed angles, and inscribed and circumscribed polygons of
|22.0* Students know the effect of rigid motions
on figures in the coordinate plane
and space, including rotations, translations, and reflections.