Learning Targets Semester 1

I can define verbally and visually key geometric vocabulary terms
I can write the equation of a line in slope-intercept form
I can solve a system of equations using the substitution method
I can solve a system of equations using the equal values method
I can construct, using a compass and a straight edge only, basic geometric elements including circles and segments of specified sizes
I can write a statement in the form of a conditional statement
I can assemble constitutional statements to create logical arguments
I can simplify radical expressions
I can add radical expressions
I can multiply radical expressions
I can rationalize the denominator of radical expressions
I can analyze a logical argument for validity
I can analyze a logical argument for soundness

I can name an angle using three vertices
I can use the relationship between vertical angles to determine angle measures
I can use the relationship between supplementary angles and complementary angles to determine angle measures
I can identify angles formed by parallel lines intersected by a transversal as corresponding, alternate interior, or same-side interior angles
I can use the relationship between corresponding angles, alternate interior angles, and same-side interior angles to determine angle measures
I can use the triangle sum theorem to determine angles measures in a triangle.
I can prove the relationship between different angles using already known angle relationships (i.e. vertical, supplementary, corresponding, etc.)
I can use my knowledge of the corresponding, alternate interior, and same-side interior angle relationships to prove that lines are parallel
I can duplicate an angle using a compass and straightedge
I can construct parallel lines using a compass and straightedge

I can determine the area of rectangles, parallelograms, and trapezoids
I can derive the area formulas for parallelograms, trapezoids, and triangles
I can use the triangle inequality to determine possible values for a side of a triangle
I can use the triangle inequality to determine if three side lengths can determine a triangle
I can use the Pythagorean Theorem to solve for missing side lengths of right triangles
I can use use shortcuts to solve for missing sides of 45-45-90 and 30-60-90 triangles
I can use Pythagorean Triples to quickly determine missing sides of right triangles

I can use the criteria of similarity to determine if two shapes are similar
I can write a similarity statement for two similar shapes
I can find missing side lengths within similar shapes using proportional reasoning
I can determine whether two triangles are similar using AA~
I can determine whether two triangles are similar using SSS~
I can determine whether two triangles are similar using SAS~
I can prove that two triangles are similar using AA~, SSS~, and SAS~
I can apply my knowledge of similar shapes to solve practical problems

I can find a side of a right triangle using tangent, sine and cosine
tangent, sine and cosine to find a side of a right triangle
I can apply trigonometry to practical situations
I can use inverse trigonometry to find angles of right triangles
I can use the Law of Sines to find a side and angle of a non-right triangle
I can use the Law of Cosines to find a side and angle of a non-right triangle
I can determine when to use right triangle trig, the Law of Sines, and the Law of Cosines to find missing information in triangles
I can apply right and non-right triangle trigonometry to practical situations

I can use the conditions for congruence to determine if two shapes are congruent
I can determine whether triangles are congruent using the shortcuts for triangle congruence
I can prove that two triangles are congruent using the shortcuts for triangle congruence
I can use the definitions of midpoints, bisectors and the reflexive property to prove that triangles are congruent
I can prove that corresponding parts of congruent triangles are congruent

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