Download Geometry

Student “I Can Statements” for
Math Standards
Geometry
I can statement
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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.
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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.
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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
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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
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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.
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I can find the midpoint of two coordinates.
I can use the distance formula.
I can find the slope of a line.
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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.
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9.3.4.2
9.3.4.4