Keystone Exams Assessment Anchors and Eligible Content
G.1.1: Properties of Circles, Spheres, and Cylinders
G.1.1.1: Identify and/or use parts of circles and segments associated with circles, spheres, and cylinders.
G.1.1.1.1: Identify, determine, and/or use the radius, diameter, segment, and/or tangent of a circle.
Chords and Arcs
Circles
Inscribed Angles
G.1.1.1.2: Identify, determine, and/or use the arcs, semicircles, sectors, and/or angles of a circle.
Chords and Arcs
Inscribed Angles
G.1.1.1.4: Identify and/or use the properties of a sphere or cylinder.
G.1.2: Properties of Polygons and Polyhedra
G.1.2.1: Recognize and/or apply properties of angles, polygons, and polyhedra.
G.1.2.1.1: Identify and/or use properties of triangles.
Concurrent Lines, Medians, and Altitudes
Similarity in Right Triangles
Triangle Angle Sum
Triangle Inequalities
G.1.2.1.2: Identify and/or use properties of quadrilaterals.
Classifying Quadrilaterals
Parallelogram Conditions
Special Parallelograms
G.1.2.1.3: Identify and/or use properties of isosceles and equilateral triangles.
Classifying Triangles
Concurrent Lines, Medians, and Altitudes
Isosceles and Equilateral Triangles
Triangle Inequalities
G.1.2.1.5: Identify and/or use properties of pyramids and prisms.
Pyramids and Cones
Surface and Lateral Areas of Pyramids and Cones
G.1.3: Congruence, Similarity, and Proofs
G.1.3.1: Use properties of congruence, correspondence, and similarity in problem-solving settings involving two- and three-dimensional figures.
G.1.3.1.1: Identify and/or use properties of congruent and similar polygons or solids.
Constructing Congruent Segments and Angles
Perimeters and Areas of Similar Figures
Similarity in Right Triangles
G.1.3.1.2: Identify and/or use proportional relationships in similar figures.
Beam to Moon (Ratios and Proportions)
G.1.3.2: Write formal proofs and/or use logic statements to construct or validate arguments.
G.1.3.2.1: Write, analyze, complete, or identify formal proofs (e.g., direct and/or indirect proofs/proofs by contradiction).
Biconditional Statements
Conditional Statements
G.2.1: Coordinate Geometry and Right Triangles
G.2.1.1: Solve problems involving right triangles.
G.2.1.1.1: Use the Pythagorean theorem to write and/or solve problems involving right triangles.
Cosine Function
Distance Formula
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
Sine Function
Tangent Function
G.2.1.1.2: Use trigonometric ratios to write and/or solve problems involving right triangles.
Cosine Function
Sine Function
Sine, Cosine, and Tangent Ratios
Tangent Function
G.2.1.2: Solve problems using analytic geometry.
G.2.1.2.1: Calculate the distance and/or midpoint between two points on a number line or on a coordinate plane.
Circles
Distance Formula
Parabolas
Points in the Coordinate Plane
G.2.1.2.2: Relate slope to perpendicularity and/or parallelism (limit to linear algebraic equations).
Cat and Mouse (Modeling with Linear Systems)
G.2.2: Measurements of Two-Dimensional Shapes and Figures
G.2.2.1: Use and/or compare measurements of angles.
G.2.2.1.1: Use properties of angles formed by intersecting lines to find the measures of missing angles.
Concurrent Lines, Medians, and Altitudes
Triangle Angle Sum
G.2.2.1.2: Use properties of angles formed when two parallel lines are cut by a transversal to find the measures of missing angles.
Constructing Congruent Segments and Angles
Triangle Angle Sum
G.2.2.2: Use and/or develop procedures to determine or describe measures of perimeter, circumference, and/or area. (May require conversions within the same system.)
G.2.2.2.2: Find the measurement of a missing length, given the perimeter, circumference, or area.
Circumference and Area of Circles
Perimeter and Area of Rectangles
Perimeters and Areas of Similar Figures
G.2.2.2.3: Find the side lengths of a polygon with a given perimeter to maximize the area of the polygon.
Perimeter and Area of Rectangles
G.2.2.3: Describe how a change in one dimension of a two-dimensional figure affects other measurements of that figure.
G.2.2.3.1: Describe how a change in the linear dimension of a figure affects its perimeter, circumference, and area (e.g., How does changing the length of the radius of a circle affect the circumference of the circle?).
Perimeter and Area of Rectangles
G.2.2.4: Apply probability to practical situations.
G.2.2.4.1: Use area models to find probabilities.
G.2.3: Measurements of Three-Dimensional Shapes and Figures
G.2.3.1: Use and/or develop procedures to determine or describe measures of surface area and/or volume. (May require conversions within the same system.)
G.2.3.1.1: Calculate the surface area of prisms, cylinders, cones, pyramids, and/or spheres. Formulas are provided on a reference sheet.
Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones
G.2.3.1.2: Calculate the volume of prisms, cylinders, cones, pyramids, and/or spheres. Formulas are provided on a reference sheet.
Prisms and Cylinders
Pyramids and Cones
G.2.3.1.3: Find the measurement of a missing length given the surface area or volume.
Pyramids and Cones
Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones
G.2.3.2: Describe how a change in one dimension of a three-dimensional figure affects other measurements of that figure.
G.2.3.2.1: Describe how a change in the linear dimension of a figure affects its surface area or volume (e.g., How does changing the length of the edge of a cube affect the volume of the cube?).
Surface and Lateral Areas of Prisms and Cylinders
Correlation last revised: 7/13/2022