Student “I Can Statements” for Math Standards Geometry I can statement I can write a two column proof. I can write a paragraph proof. I write a flow chart proof. I can use illustrations in a proof. I can identify a contradiction, when appropriate. I can identify corresponding, alternate interior, alternate exterior, and same side interior angles. I can identify vertical angles. I know that parallel lines have same slope. I know that perpendicular lines have opposite reciprocal slope. I can identify a transversal. I can find unknown angle values given a diagram or word problem that involves parallel and perpendicular lines using properties and definitions. I can classify triangles by their angle measures and side lengths. I can use triangle classification to find angle measures and side lengths. I can find the measures of interior and exterior angles of triangles. I can apply theorems about the interior and exterior angles of triangles. I can apply the isosceles triangle theorem and its converse. I can apply properties of equilateral triangles. I can find the orthocenter, incenter, circumcenter, and centroid of a triangle. Standard met Standard # Construct logical arguments and write proofs of theorems and other results in geometry, including proofs by contradiction. Express proofs in a form that clearly justifies the reasoning, such as twocolumn proofs, paragraph proofs, flow charts or illustrations Know and apply properties of parallel and perpendicular lines, including properties of angles formed by a transversal, to solve problems and logically justify results. 9.3.2.4 Know and apply properties of triangles to solve problems and logically justify results. 9.3.3.3 9.3.3.1 I can identify a right triangle from a diagram or when given sides a, b, and c. I can identify the legs and hypotenuse of a right triangle. I can solve a2 + b2 = c2 for a missing value. I can recognize common Pythagorean triples. Apply the Pythagorean Theorem and its converse to solve problems and logically justify results. 9.3.3.4 I know the ratio of sides of a special right triangle. I can determine the exact values of the sides of a special right triangle. Know and apply properties of right triangles, including properties of 45-45-90 and 30-60-90 triangles, to solve problems and logically justify results. Apply the trigonometric ratios sine, cosine and tangent to solve problems, such as determining lengths and areas in right triangles and in figures that can be decomposed into right triangles. Know how to use calculators, tables or other technology to evaluate trigonometric ratios. Use coordinate geometry to represent and analyze line segments and polygons, including determining lengths, midpoints and slopes of line segments. 9.3.3.5 Know and apply properties of congruent and similar figures to solve problems and logically justify results. 9.3.3.6 I can use calculators to find sine, cosine and tangent for the given angle. I know SOH CAH TOA. I can determine which trigonometric ratio to use to solve right triangles. I can solve right triangles. I can find the midpoint of two coordinates. I can use the distance formula. I can find the slope of a line. I can determine if triangles are similar or congruent and why they are similar or congruent. I can write a similarity or congruence statement. I can find sides and angles in congruent figures. I can set up a proportion to find missing side lengths in similar figures. I can find missing angle measures in similar figures. 9.3.4.2 9.3.4.4