CO.A.1: Define angle, circle, perpendicular line, parallel line, line segment and ray based on the undefined notions of point, line, distance along a line and distance around a circular arc.
CO.A.2: Represent transformations in the plane, and describe them as functions that take points in the plane as inputs and give other points as outputs.
CO.A.3: Describe the rotational symmetry and lines of symmetry of two-dimensional figures.
CO.A.4: Develop definitions of rotations, reflections and translations in terms of angles, circles, perpendicular lines, parallel lines and line segments.
CO.A.5: Demonstrate the ability to rotate, reflect or translate a figure, and determine a possible sequence of transformations between two congruent figures.
CO.B.1: Develop the definition of congruence in terms of rigid motions.
CO.B.2: Develop the criteria for triangle congruence from the definition of congruence in terms of rigid motions.
CO.C.1: Prove theorems about lines and angles.
CO.C.2: Prove theorems about triangles.
CO.C.3: Prove theorems about polygons.
CO.D.1: Construct geometric figures using various tools and methods.
SRT.A.1: Construct and analyze scale changes of geometric figures.
SRT.A.2: Use the definition of similarity to decide if figures are similar and to solve problems involving similar figures.
SRT.B.1: Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
SRT.C.1: Understand that side ratios in right triangles define the trigonometric ratios for acute angles.
SRT.C.3: Use trigonometric ratios and the Pythagorean Theorem to solve right triangles.
C.A.2: Identify and describe relationships among inscribed angles, radii and chords of circles.
GPE.A.1: Derive the equation of a circle.
GPE.A.2: Derive the equation of a parabola given a focus and directrix.
GMD.A.1: Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid and cone.
GMD.A.2: Use volume formulas for cylinders, pyramids, cones, spheres and composite figures to solve problems.
CP.A.1: Describe events as subsets of a sample space using characteristics of the outcomes, or as unions, intersections or complements of other events.
CP.A.2: Understand the definition of independent events and use it to solve problems.
CP.A.3: Calculate conditional probabilities of events.
CP.A.5: Recognize and explain the concepts of conditional probability and independence in a context.
CP.A.6: Apply and interpret the Addition Rule for calculating probabilities.
CP.A.7: Apply and interpret the general Multiplication Rule in a uniform probability model.
CP.A.8: Use permutations and combinations to solve problems.
Correlation last revised: 1/22/2020