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 Depdendent Variable

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 Dependent Variable

 Number of inequalities to solve: 23456789
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Geometry District Benchmark

 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 3 1 1 1 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 4 4 3 3 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 Quads Total Items 22.67 17 24 20 19 Percent 35% 77% 59% 45% 32% Volume and Area Formulas 11 0 0 0 10 8.0* Students know, derive, and solve problems involving perimeter, circumference, area, volume, lateral area, and surface area of common geometric 4 2 10.0* Students compute areas of polygons, including rectangles, scalene triangles, equilateral triangles, rhombi, parallelograms, and trapezoids. 4 3 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. 2 3 11.0 Students determine how changes in dimensions affect the perimeter, area, and volume of common geometric figures and solids. 1 2 Total Items 11 0 0 0 10 Percent 17% 0% 0% 0% 17% 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. 5 5 5 4 13.0 Students prove relationships between angles in polygons by using properties of complementary, supplementary, vertical, and exterior angles. 2 3 2 3 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. 2 0 2 3 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. 3 2 2 2 2:No Circles Total Items 16.33 5 12 13 14 Percent 25% 23% 29% 30% 23% Trigonometry 15 0 5 11 17 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 3 3 3 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. 3 3 3 Cluster: TRIG 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 90° triangles. 1 3 3 21.0* Students prove and solve problems regarding relationships among chords, secants, tangents, inscribed angles, and inscribed and circumscribed polygons of circles. 5 5 22.0* Students know the effect of rigid motions on figures in the coordinate plane and space, including rotations, translations, and reflections. 3 5 2 3 Total Items 15 0 5 11 17 Percent 23% 0% 12% 25% 28% TOTAL 65 22 41 44 60