Common Core Content Rubric for Mathematics: Geometry
Content
Basics of Geometry
Skills
Rubric Score
Identify and model points, lines, and planes, including intersecting
4
3
2
1
Know and use the distance formula
4
3
2
1
Know and use midpoint formula
4
3
2
1
Classify angles
4
3
2
1
Identify and use angle bisector
4
3
2
1
Construct congruent segment and angle, and angle bisector
4
3
2
1
Identify and use special pairs of angles and perpendicular lines
4
3
2
1
Identify and name polygons
4
3
2
1
Find perimeter, circumference, and area of 2-D figures
4
3
2
1
Content
Reasoning and Proof
Skills
Rubric Score
Identify and use basic postulates about points, lines, and planes
4
3
2
1
Write proofs involving segments
4
3
2
1
Write proofs involving angles
4
3
2
1
Content
Lines
Skills
Rubric Score
Identify the relationship between two lines or two planes
4
3
2
1
Use theorems to determine the relationships between specific pairs of angles
4
3
2
1
Find the slops of lines, and use slope to identify parallel and perpendicular lines
4
3
2
1
Write the equation of a line using given information
4
3
2
1
Use the converse of angle pair relationships
4
3
2
1
Construct perpendicular lines, perpendicular bisector, and parallel lines
4
3
2
1
Content
Triangles
Skills
Rubric Score
Identify and classify triangles by angle measures and side measures
4
3
2
1
Apply triangle theorems
4
3
2
1
Name and use corresponding parts of congruent polygons
4
3
2
1
Prove triangles congruent using the definition of congruence
4
3
2
1
Use SSS and SAS to prove triangles congruent
4
3
2
1
Use ASA, AAS, and HL to prove triangles congruent
4
3
2
1
Use properties of isosceles and equilateral triangles
4
3
2
1
Construct equilateral triangle
4
3
2
1
Write triangle coordinate proof
4
3
2
1
Identify and use perpendicular bisectors and angle bisectors
4
3
2
1
Identify and use medians and altitudes
4
3
2
1
Construct inscribed and circumscribed circles of a triangle
4
3
2
1
Content
Quadrilaterals
Skills
Rubric Score
Find and use the sum of the measures of polygons
4
3
2
1
Recognize and apply the properties of parallelograms
4
3
2
1
Prove a quadrilateral is a parallelogram, including coordinate proof
4
3
2
1
Recognize and apply properties of rectangles, rhombi, and squares
4
3
2
1
Recognize and apply properties of trapezoids and kites
4
3
2
1
Find the area of special quadrilaterals including using coordinates
4
3
2
1
Construct a square
4
3
2
1
Content
Proportions and Similarity
Skills
Rubric Score
Partition a directed line segment into given ratio
4
3
2
1
Use proportions to identify similar polygons
4
3
2
1
Solve problems using the properties of similar polygons
4
3
2
1
Prove triangles similar using AA, SSS, and SAS
4
3
2
1
Use proportional parts within triangles with parallel lines
4
3
2
1
Recognize and use proportional relationships of corresponding
4
3
2
1
Use scale factors to solve problems
4
3
2
1
Find the area of similar figures using scale factors
4
3
2
1
segments of similar triangles
Content
Right Triangles
Skills
Rubric Score
4
3
2
1
Use Pythagorean Theorem and its converse
4
3
2
1
Use properties of special right triangles
4
3
2
1
Use trigonometric ratios to find missing parts in a right triangle
4
3
2
1
Solve problems using trigonometry
4
3
2
1
Solve problems involving relationships between parts of a right
triangle and the altitude to its hypotenuse.
Content
Transformations
Skills
Rubric Score
Draw and represent reflections including in the coordinate plane
4
3
2
1
Draw translations and represent including in the coordinate plane
4
3
2
1
Draw rotations and represent including in the coordinate plane
4
3
2
1
Draw composition of isometries in a coordinate plane
4
3
2
1
Identify line and rotational symmetries
4
3
2
1
Draw and represent dilations including in the coordinate plane
4
3
2
1
Analyze transformations
4
3
2
1
Verify congruence or similarity after transformations
4
3
2
1
Content
Circles
Skills
Rubric Score
Identify and use parts of circles, including finding measures of arcs and angles
4
3
2
1
Find arc length
4
3
2
1
Find sector area
4
3
2
1
Recognize and use relationships between arcs, chords, and diameters
4
3
2
1
Find measures of inscribed angles and angles in inscribed polygons
4
3
2
1
Use properties of tangents
4
3
2
1
Find measures of angles formed by lines intersecting on, inside, or outside the circle
4
3
2
1
Find measures of segments the intersect in the interior or exterior of the circle
4
3
2
1
Write equation of a circle and graph a circle
4
3
2
1
Construct a regular hexagon in a circle
4
3
2
1
Content
Skills
Rubric
Score
4
3
2
1
Dimensional Use surface area to solve problems for prisms, cylinders, pyramids, cones, and sphere
4
3
2
1
Space
4
3
2
1
Three
Investigate cross sections of 3-D figures
Use volume to solve problems for prisms, cylinders, pyramids, cones, and sphere