2012-2013 - Learning Standards
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1.1 - Terms of a SequenceI can find a pattern from given terms of a sequence and identify additional terms.
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1.2 - Geometry DefinitionsI can correctly name/draw/apply definitions of points/lines/line segments/planes and angles.
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1.3 - CounterexamplesI can create a counterexample for a given statement when possible.
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1.4 - Congruence postulatesI can apply the definition of congruence to relate conguent lines and angles both numerically and algebraically.
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1.5 - Addition postulatesI can apply segment and angle addition postulates to model numerical/graphical/algebraic problems.
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1.6 - Coordinate OperationsI can relate the coordinates of the endpoints of a line segment to the length of the line segment and its midpoint.
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1.7 - Area and PerimeterI can determine the perimeter and area of complex figures made up of rectangles/triangles/circles and sections of circles.
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2.1 - Logic SymbolsI can use logical symbols to translate written statements as logical statements using symbols, and vice versa.
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2.2 - Conditional StatementsI can identify the hypothesis and conclusion of a conditional statement. I can write the inverse, converse, and contrapositive of a conditional statement.
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2.3 - Biconditional StatementsI can determine whether or not a bi-conditional statement can be used as a definition.
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2.4 - Justifying AlgebraI acn justify the steps of an algebra problem using properties of equality.
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2.5 - Congruence ProofsI can write a complete two-column or paragraph proof to show that line segments are congruent.
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2.6 - Angle Congruence ProofsI can write a proof showing that angles are congruent, supplementary, or complementary.
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3.1 - Parallel Lines and TransversalsI can relate angles formed by parallel lines cut by a transversal through related theorems and the corresponding angles postulate. I can prove lines are parallel through the converses of these theorems.
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3.2 - Parallel Lines and AlgebraI can solve algebra problems relates to parallel lines cut by a transversal.
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3.3 - Interior and Exterior Angles of a TriangleI can apply the sum of interior angles of a triangle and exterior angle theorems to solve algebraic and numerical problems.
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3.4 - Justifying StatementsI can justify a statement in words using a definition, postulate, or theorem.
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3.5 - Angles of a PolygonI can relate the sums of measures of interior and exterior angles of a polygon to the number of sides. I can determine the angle measures of regular polygons.
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3.6 - Coordinate Geometry & Parallel/Perpendicular LinesI can use coordinates of points to determine the slopes of lines or line segments passing through those points. I can use slope to identify lines or line segments as parallel or perpendicular to each other. I can write the equation of a line given points and slope.
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4.1 - Congruence StatementsI can write complete congruence statements for congruent polygons. I can identify corresponding angles and sides for congruent polygons.
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4.2 - Proving Triangle CongruenceI can prove that triangles are congruent using the Side-Side-Side, Side-Angle-Side, Angle-Side-Angle postulates and the Angle-Angle-Side theorem.
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4.3 - Corresponding parts of congruent trianglesI can prove that parts of congruent triangles are congruent to each other. I can solve algebra problems relating congruent parts of triangles to each other.
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5-1: Overlapping Triangle ProofsI can write a complete proof showing that parts of overlapping triangles are congruent. I can identify angles or sides that are common to two different triangles.
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5-2: Equilateral & Isosceles TrianglesI can describe and apply the properties of Equilateral and Isosceles Triangles for writing proofs and solving problems.
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5-3: Indirect ProofI can write an indirect proof (or proof by contradiction) related to properties of congruent triangles.
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5-4: Midsegments & BisectorsI can apply properties of midsegments of triangles to finding measurements of sides and angles in a triangle. I can apply properties of angle and perpendicular bisectors to find measurements.
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5-5: Points of ConcurrencyI can draw medians, altitudes, and angle bisectors for triangles. I can identify the incenter, orthocenter, and centroid of a triangle. I can use these points of concurrency to circumscribe triangles or inscribe a circle inside triangles.
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5-6: Triangle InequalitiesI can use theorems and postulates of triangle inequality to prove relationships of sides and angles that are not congruent. I can determine if three given side lengths are possible lengths for a triangle. I can compare lengths of sides of a triangle given the angles opposite those sides.
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6.1 – Classifying QuadrilateralsI can identify a quadrilateral as a parallelogram, rhombus, kite, trapezoid, isosceles trapezoid, square, or rectangle based on given side or angle measurements.
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6.2 – Quadrilateral Coordinate ProofsI can write a coordinate proof to show that a given set of vertices represents a parallelogram, rhombus, kite, trapezoid, isosceles trapezoid, square, or rectangle.
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6.3 – Algebra & Quadrilateral PropertiesI can write equations relating sides, angles, or lengths of diagonals using the properties of a given quadrilateral. I can solve these equations to find unknown measures of sides, angles, or diagonals.
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6.4 – Quadrilateral ProofsI can write proofs for theorems describing properties of sides and angles of parallelograms, rhombuses, rectangles, and kites. I can use given information about sides and angles to prove that a quadrilateral is a parallelogram, rhombus, rectangle, or kite.
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7.1 – ProportionsI can solve equations in which two fractions are set equal to each other. I can identify cases when solutions to the proportion do not exist.
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7.2 – Similar PolygonsI can find the similarity ratio between two similar polygons. I can verify that two polygons are similar using the angles and measures of the sides. I can find unknown lengths of corresponding sides of similar polygons.
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7.3 – Similar TrianglesI can determine whether (or not) two triangles are similar to each other by the AA ~ postulate or SSS/SAS similarity theorems. I can use the results of these theorems to find the measures of unknown sides of similar triangles.
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7.4 – Indirect MeasurementI can find measurements of real world objects by modeling them with similar triangles.
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7.5 – Right Triangle SimilarityI can identify corresponding parts of similar right triangles and find their measures.
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8.1 – Applying TransformationsI can relate the coordinates of a pre-image of a transformation to the coordinates of an image. I can identify the type of transformation being applied by observing the pre-image and the image. *I can identify fixed points for a given transformation.
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8.2 – TranslationsI can apply a translation to a set of points, a line, or a polygon. I can do this graphically (on paper), numerically (using coordinates) and algebraically. I can identify a specific translation for a given pre-image and image and apply that translation to another point in the plane.
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8.3 – DilationsI can apply a dilation of constant k about the origin to a set of points or a polygon. I can identify the scale factor of a dilation given the pre-image and image
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8.4 – Point and Line ReflectionsI can apply a point reflection or a line reflection to a set of points, a line, or a polygon. I can do this graphically, numerically, and algebraically.
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8.5 – RotationsI can apply a rotation with center at the origin to a set of points, a line, or a polygon in the plane. I can do this graphically, numerically, and algebraically.
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8.6 – SymmetryI can identify specific rotations and reflections that map a polygon or shape onto itself. I can identify points and lines of symmetry.
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8.7 – Compositions of TransformationsI can apply a composition of two or more transformations to a set of points, a line, or a polygon.
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9.1 – Special Right TrianglesI can find the exact measures of sides and identify angles of 30-60-90 triangles and 45-45-90 triangles.
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9.2 – Trigonometric RatiosI can use trigonometric ratios to find exact or approximate measures for sides or angles in right triangles.
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9.3 – Areas using TrigonometryI can use trigonometry to find the area of a polygon.
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